diff --git "a/data/dm_maths/full_data_2/1029_11255.jsonl" "b/data/dm_maths/full_data_2/1029_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1029_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand 6*g**5 - 10*g**5 + 2*g**3 - 2*g**5 + (1 - 1 + 2)*(0*g**5 + 3*g**5 - g**5) + 3*g**5 - g**5 + 0*g**5 + 3*g**2 + g**5 - 3*g**2.\nAnswer: g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d5e - c?\nAnswer: 7d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 2.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-165) + (-1 - (-9)\/11). What is the units digit of 19 + (6 - t) + 1*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.1 in -17, 2, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-15))\/((-9)\/(-7335)). Let s = -285 - g. Calculate the remainder when s is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -236.\nAnswer: -8024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (-3)\/(-2)*256\/24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x + h, 2*x - 7*x - 5*h = -10. Let t be (10\/(-25))\/(7\/15 + x). Let f = 2 + -1. Which is the second biggest value? (a) f (b) -8 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*h - 6 = 3, 3*m = 2*h - 30. Let u be (-5*m\/90)\/((-2)\/(-18)). Let c = 90 - 30. What is the greatest common factor of c and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 11. Solve 4*k - 3*m - 12 = 0, l*k + 2*k = -m - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -127*z + 1. Let t(m) = 125*m - 1. Determine -3*l(n) - 4*t(n).\nAnswer: -119*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 12*w + 66. Let i be 10\/55 - (-62)\/w. Solve i*r + 3*t = 2*r - 2, -5*r - 3*t - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48, 171, 452, 963, 1776, 2963?\n\"Answer: 12*d**3 + 7*d**2 + 18*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.263 + -98.792. What is y rounded to one decimal place?\nAnswer: -43.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igjurpg. Give prob of sequence pij.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -3320787\nAnswer: -3320787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301 = -8*f - 277 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 305103011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let d = -0.6 + l. Let s = -9 - -4. Which is the second biggest value? (a) s (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -50. Let n = 39 - d. Suppose -3*r + 58 + n = 0. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1768\/7*w + 393\/7*w**2 + 1\/7*w**4 + 2704\/7 - 34\/7*w**3 = 0. Calculate w.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/3 - 282*k + 845\/3 = 0. Calculate k.\nAnswer: 1, 845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/54*(-3)\/(-7)*(-385)\/(-330).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**16)**(1\/4)*(d\/((d*d**2)\/d))**(-26)\/(d**1)**(-9) assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390 is divided by (-1083)\/(-361)*29\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1738632\/19 or -91507?\nAnswer: -91507","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 243685 take away 274?\nAnswer: 243411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (13470\/40)\/((-9)\/(-12)). Let h = j - 437. Solve 0 = -2*m - 9 + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 4 - 15 - (1 + 12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2353 - 5?\nAnswer: 234c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2688 = 14*n. Calculate the remainder when n is divided by 221.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*u - 2*u - 4 = 0, -3*u + 2 = -2*g. Suppose 4*y - 22 = -g*o, 40 = 4*y - 3*o - o. Solve -5*c + 5 = 0, -1 = 2*s + 5*c - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/90)\/(1\/105). Let r = 37 + t. Let b(n) = -n**2 - 6*n - 2. Calculate b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4948977, 4948946, 4948915, 4948884, 4948853, 4948822?\n\"Answer: -31*b + 4949008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16635554.\nAnswer: 2, 13, 17, 61, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 6:23 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -10. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 140, 573, 1294, 2303, 3600, 5185, 7058?\n\"Answer: 144*k**2 + k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 - 119. Let k = 106 - b. Suppose -2*c = -4*n - k, -3*c + 30 = -4*n + 2. Solve 0*s - 4*s + c*f = 20, -5*f = -3*s - 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8274, 8275, 8276, 8277?\nAnswer: 8278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 34664?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/7 + 1266*w - 53100\/7 = 0 for w.\nAnswer: 6, 4425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) + 12\/(-20). Let a = -1 - -4. Let v(b) = b + 0*b**3 + 0*b - 2*b**a. Calculate v(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n + 10 = 0. What is the smallest common multiple of 9 and 75\/12 + n\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -3*d. Let q = d + -15. Let l = 28 + q. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9989 and 65642?\nAnswer: 459494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 300 - 155 - 157 to the form d + f*q and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from uuwuezlue.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1868, -1833, -1798, -1763, -1728?\n\"Answer: 35*i - 1903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178267 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let b(v) = v**2 + 2*v - 1. Let g(n) = n**2 - n + 1. Let y(s) = w*g(s) - b(s). Give y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let f = -91085 + 91116. Sort z, f, 5 in ascending order.\nAnswer: z, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + n + 243 = 0, -419 = 5*c + 4*n - 1652. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + (sqrt(1100) - (sqrt(1100) - (-5 + sqrt(1100) + 2)))*4)*3)**2.\nAnswer: -7920*sqrt(11) + 159489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + -75 + 120 + -18.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-780)\/(-1040))\/((9\/(-60))\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 101.6526nm?\nAnswer: 0.1016526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 24 (b) -1\/4 (c) -4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970 + 19*w**2 + 970.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.001 (b) 12 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h - 60 = 0. Suppose 0*x + 9 = -3*d + 3*x, -5*d = -2*x. Solve -3*w = 4*y - h, y + d*w = -w + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*d = -15, 5*g = d + 4*d + 5. Let u be 16\/40 - g\/(-5). Suppose u - 7 = -o. Let k(a) = a**2 - 4*a - 5. Give k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + 11 + -49 + 43\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2753*r**3*z**2 - 3*r**3*z - 24*r**3 wrt z.\nAnswer: 5506*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 s when three letters picked without replacement from {s: 2, h: 1, m: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 5*b + 2381 = -7*g, -4*b - 9500 = -4*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-1)\/((-2)\/(-4)). Suppose -2*h - 5*y + 0 + 4 = 0, -2*h + 5*y = 36. Let q = i - h. Solve q = 3*f + f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 111. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -21. What is the third smallest value in 4, -35, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*g - 1 = 0, 5*t - 8*t - 10 = 2*g. Let r(a) = 50*a + 48. Let n(o) = -52*o - 47. Let p(l) = t*n(l) - 3*r(l). Differentiate p(y) with respect to y.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462754.5 rounded to the nearest 1000?\nAnswer: -463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 16*d - 39. Let y be h(18). What is the fourth smallest value in -0.1, 3, y, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -4*j**3\/3 - 20. Let x(t) = 42*t. Determine x(k(u)).\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 22065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -356560000 to the nearest one million.\nAnswer: -357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4418 and 1222?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.968 + 0.132. Let w = o + 82.9. Let t = w + -83.8. Which is the nearest to -1\/4? (a) 3\/7 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207141367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109145?\nAnswer: 3, 5, 73943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0 + 8*y - 3*y**2 + 3\/2*y**3 + 7\/12*y**4 - 1\/20*y**5. What is the tens digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Let q(c) = 0*c + 2*c - 17*c**2 - 25*c - 23*c**v - 17. Let h(n) = 4*n**3 + 3*n**2 + 4*n + 3. Determine -34*h(g) - 6*q(g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**9\/1512 + a**8\/420 - a**6\/90 - a**5\/60 - a**3 - 1. Let f(l) be the third derivative of j(l). Factor f(c).\nAnswer: 2*c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142094644 divided by 35523661\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y - 3. Let w be a(-2). Let s = -3 + w. Put -5, 7, s in decreasing order.\nAnswer: 7, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*h + 3*o, 5*h - 3*o = -5*o - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009883 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16279?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r - 4. Let n be g(2). Suppose -n*a + 3365 = -3*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584805\/215928*(-9)\/15\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839 = -4*p - 3*k, -k - 4*k = -5. What is the highest common factor of 171 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(2*j - 3 + 3) - 4*j + j - 5*j)*(2 + 2 - 5).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13133192 to the nearest integer?\nAnswer: 3624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 276060647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1703, -1618, -1533, -1448?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15933*r = 5*n - 15931*r - 27, -5*n = r - 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -222.\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 509491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 - x + 5)*(3*x**2 + 0*x**2 - 4*x**2 - 4 + 4 - 7*x**2 + (-2*x - x + 2*x)*(-2*x - 2*x + 3*x) - 2*x**2 - 3*x**2 + 6*x**2).\nAnswer: 6*x**3 - 42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 43*r**2 - 310*r - 3503. What is x(25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 130\/39*(-6)\/(-4). Suppose 3*t = -x*r + 757, r - 145 = -0*t + t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rroo when four letters picked without replacement from {o: 4, r: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 29\/3*x**3 + 21\/2*x**2 + 10 + 0*x. Find the second derivative of t(m) wrt m.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3437 = 3*t. Suppose 6*l - 3295 - t = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.095, 13 in decreasing order.\nAnswer: 13, 0.1, -0.095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 12. Suppose -8*j = -5*j - 4*v - 71, -5*v = -j + 42. Suppose 2*p + j = -5*n, 0 = 2*p - 4*n - 37 + 9. Solve -p*w + 16 - r = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f**2 - 85*f**2 + 23*f**2 + 28*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 5*v**3\/3 + v**2\/2 + v + 43. Let a be (2 + 3)*4\/(-5). Let h(b) = 11*b**2 + 2*b + 2. What is a*h(q) + 9*w(q)?\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 109861521 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 80142979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 452*c - 4708. What is u(15)?\nAnswer: 2072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 5*m, -3*x = -4*m + 47 - 74 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) 0.02 (c) -185 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.3 (c) -1\/4 (d) -2 (e) -1\/2687 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-16)\/6)*(3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2238198\/529 - -4231. Calculate the common denominator of k and 15\/8.\nAnswer: 4232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 14*y + 29. Let a be i(-19). Let c = 71 + a. Suppose 608 + 127 = -c*m. What is m rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 83467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose -3*y = d*y - 110. Suppose -3*f + y = -f. Solve 0 = 5*n - 3*k - 7, 5*k = -5*n + 4*k + f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 7*w**2 + 2*w + 9. Let q be x(-7). Let d = q - -12. Suppose d*b = 2*b + 25. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - b**4 - 3*b**2 + (-2*b + 2*b + b**2)*(2 - 2 - b**2) - 38*b**4 + 67*b**4 + 36 - 28*b**4 as f + x*b**3 + k*b**4 + h*b**2 + y*b and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/96*-8*22\/209\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 1\/35, 7?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/16*(14 + -6 - 0). Suppose -5*y + 8 + 37 = 0. Suppose r*u + 303 + 231 = 3*a, y = 3*u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(119\/(-126) - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 51. Suppose -50*c + 369 + 431 = 0. What is the smallest common multiple of c and h?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {y: 7, e: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 10) to base 7\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -568, -16.\nAnswer: -568, -16, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*z - 16, z + 4 = 3*n - 6*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -84*o**2 - 38*o - 39. Give v(-1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/367692 and -71\/65996.\nAnswer: 2573844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 1\/2 (c) -2\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1035 and 138.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2598604 in decreasing order.\nAnswer: 2598604, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*w + 1, -6*w + w - 5 = 0. Let s = i - -1. What is the first derivative of 3 - 5*u**2 + 3*u**4 + 5*u**s wrt u?\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*a, 0 = -a - 2*v - 3 + 12. Factor -689*k**a + 1376*k**3 - 686*k**3 - k**5 + 3*k**4 - 3*k**2.\nAnswer: -k**2*(k - 3)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 50440 (base 6) to base 16\nAnswer: 19f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 8*g = 60, -82 + 41 = 5*h + 5*g - 56 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -263?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6.5. Let n be (-6)\/26*(-451)\/165. Let b = n + -3\/13. What is the fourth biggest value in b, 4, -1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/12 - v**3\/6 - v**2 + 2. Let n(d) be the second derivative of a(d). What is the units digit of n(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -647 - -4653?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from evwvexeeweeeep.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-1750)\/120)*(-72)\/80.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 (base 6) in base 14?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/24 + 11*c**2. Let a(w) = 6*w. Give b(a(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 1781994*d**4 - 5345964*d**3 - 5345958*d**2 - 1781985*d.\nAnswer: -3*d*(d + 1)**3*(d + 593995)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5698, -4\/129, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 649 and 14512407.\nAnswer: 159636477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11955740 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 3*k - 2*k - k.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.7. Let v be (-34)\/(-18) - (-4)\/(-18). Suppose -51*x - 48 = -39*x. Which is the nearest to y? (a) x (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-8) - (-407976)\/96 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let l(f) = -91*f - 78. Give 78*c(o) + l(o).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g. Suppose -2*p - 473 = -3*c, 3*c = -4*p - 28 - 891. Let s be (26\/(-8))\/(7 + p\/32). Let r(f) = 11*f. What is s*l(d) - 6*r(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 613 - 1147. Find the common denominator of (-31)\/x + (-3)\/5 and -63\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 5.4, 17, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 2, m: 8, b: 1, t: 2, z: 1}. Give prob of picking 3 m and 1 k.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + (sqrt(275) + (sqrt(275) - (sqrt(275) + 2))*1 - 2*sqrt(275)*4) + -1)*1)**2.\nAnswer: -53900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022 + 1084*x**2 + 515 + 507.\nAnswer: 1084*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -214, -478, -848?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19.5 or 0?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, h: 1, v: 2, c: 1, y: 3}. Give prob of sequence vyyy.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**4 - 11646*o**2 - 4730*o - 2.\nAnswer: -36*o**2 - 23292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 59. Which is the nearest to -0.2? (a) -2 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 18. Let o be ((-1)\/2 + 1)\/(46\/368). Let y(b) = -b**3 - 2*b**2 - 2*b + 1. Let t(m) = 2*m**3 + 3*m**2 + 3*m - 2. Calculate k*y(c) + o*t(c).\nAnswer: 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*w = -29, 7*c - 4*c + 5*w - 53 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9119 - 27578 + 8*v - 2*v - 7*v + 9320 + 9139.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-89 - -3) + -89 + 5 + 109\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*s = 10. Let f(r) = 2*r**2 + s*r - 5*r. Let n(a) = -10*a. What is n(f(o))?\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27091 and -429.\nAnswer: -11622039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 74 - 16. Let d = -27 - t. Suppose 5*l = 28 + 12. Calculate the least common multiple of l and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 - 7*y**2 - 3*y - 6. Let l(p) = -3*p**3 - 6*p**2 - 2*p - 5. What is -6*l(w) + 5*t(w)?\nAnswer: 3*w**3 + w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-1) - 31 - (14\/(-8 + 1))\/2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*v + 48 = 237*v. Calculate the highest common divisor of 51 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/((-1295)\/(-35))*10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -23. Suppose 0 = -5*z - o, 7*g + z + 5 = 2*g. Suppose g = -8*d + 3*d + 1225. Is 35 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzd when three letters picked without replacement from ddddzdddzz?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(6*u**2 - 11*u**2 - 10*u**2) + 3*u**2 - u**2 - 8*u**2 to the form n + r*u**2 + p*u and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13670 and 12286596?\nAnswer: 2734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -1 + 3. Suppose -q + 5*f + 103 = 0, o*f + 57 - 400 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 divided by 1?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.43 + -13.42999822. Round g to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2745 and 59\/65?\nAnswer: 35685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2021842, 2021826, 2021802, 2021770, 2021730, 2021682, 2021626?\nAnswer: 2021562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881 is divided by (-1308)\/(-9)*(-3)\/4*(11 - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -8*t**2 + 5*t - 1\/2*t**3 + 0. Let a be z(-7). Solve 2*w = -1 - a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67 and 12.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((525\/315)\/((-35)\/(-9)))\/((120\/(-21))\/2)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*u - u. Suppose -4*n - q = -3 - 0, -4*n - 2*q + u = 0. Solve 9 = -3*i - n*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92001645 and 1395?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2710797 - 7003344 = -106*j + 33776611. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1*(12 - 49) + 0. Let s be 5*4\/30*(2 + r). Suppose -2*w + s = -0*k + 2*k, w = 2*k + 1. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12619 - 8209. What are the prime factors of m?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13021868.\nAnswer: 2, 3255467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/390)\/((-5)\/10)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Suppose -r*z - 27 = -5*z. Calculate the remainder when 35 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 41 = n, 0 = 5*y - 0 - 5. Let p be (2 + -10)*n\/(-24). What is p rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-30))**(-1\/47)*m**(1\/13)\/(m*m**(-19)*m*m))**(-10) assuming m is positive.\nAnswer: m**(-102130\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 3*j - 36. What is r(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/1840 and 51\/880?\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 25299 + 25301 + 783*f - 50601 - 37*f in the form p + q*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 5.\nAnswer: -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3261690 + 3261685.959699. Let v = 4.04 + u. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from pplbppzj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2759 = s - 2*o - 2763, -4*s = -5*o - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 19*d - 2. Let p be v(-2). Let y = -15 - p. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27 - -6) + (-3 - -3). Let f = h - -24. Suppose -f*v = -5*v + 36. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 277, 1050, 1 in decreasing order.\nAnswer: 1050, 277, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/4 + 8*j**3\/3 - 11*j**2\/2 + 4*j + 26. What is the tens digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1099018 + 1099029. Determine x, given that 1\/7*x**2 - 78\/7*x + s = 0.\nAnswer: 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 2, t: 6, i: 1, o: 3}. Give prob of sequence howo.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9282647 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -5, -16, -8, -587, 2 in decreasing order.\nAnswer: 3, 2, 0, -5, -8, -16, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -166\/21 < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23409842 is divided by 62.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Let o = z - -3. What is the smallest common multiple of ((-1560)\/(-117))\/(8\/6) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from uuauuuuuauu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.916 - 38. Let i = v + 0.03. Let z = i + 0.484. Round z to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -534011, -533989, -533969, -533951, -533935?\n\"Answer: -n**2 + 25*n - 534035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11155?\nAnswer: 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-c + c + 3*c) - 23*c - 24*c + 33*c in the form t + k*c and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90315 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 0\/3 - -2. Suppose -14 = -4*i + x*n, -2*i + n = -4*i. What is the first derivative of -i + 0*a - 2*a + 3*a wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:01 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37002.\nAnswer: 2, 3, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, 2, 20, -1 in descending order.\nAnswer: 20, 2, -1, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615 and 13015655?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -6. Let p = 0.2 - 0.1. Put 1\/7, z, p in descending order.\nAnswer: 1\/7, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmhmhmhhhmhhhmhmmh. What is prob of sequence mmhm?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(9*n - 5*n + 3*n).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 471366 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 517.399.\nAnswer: 2069.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = 5*z + 4*k, k = 4*z - 11. Let b be ((-198)\/(-10))\/(21\/70). Is (b\/z + -3)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-2)*12\/6. Let u(l) = 3 + l + 4 + 4. Is u(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**3\/2 - 151*h + 3. Let g(c) = 45*c - 6. Determine x(g(r)).\nAnswer: -135*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 0.3\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-5)\/26)*1\/2. Solve -d*v = -16*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*t = -4, 0 = -4*s - 2*t + 24 - 4. Suppose 0 = -s*b + 4*b + 144. Suppose -4*i - 3*p + 48 = -2*i, -3*i + b = -4*p. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32*(-13)\/(-32032))\/(2\/14).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(-3 + sqrt(567)*-1*-6 + (sqrt(567) + 5 + -3*sqrt(567))**2 + -3).\nAnswer: -1512*sqrt(7) + 27444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 + 9*u**2 - 22*u + 22*u - 48*u**2 + 22*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:26 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 20*c**3 + 11*c**2 - 17*c - 17. Let i(t) = 7*t**3 + 4*t**2 - 6*t - 6. Suppose 0*q = 4*q - 68. Let s(b) = q*i(b) - 6*f(b). Factor s(v).\nAnswer: -v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 1\/6 (c) 1106\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15267\/124 + 3840\/31. Suppose 3\/2*t - o*t**2 + 3\/4*t**4 - 9\/4*t**3 + 0 + 3\/4*t**5 = 0. Calculate t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14378 - -14378. Sort 2, -4, -1, s, 4 in decreasing order.\nAnswer: 4, 2, s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + (3 - (-15)\/(-2)). Let f = 16 + -17. Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 0.236, -2.02, -2, -1.5?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10126479 by -3.\nAnswer: -3375493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/140 - 13*s**4\/7 - 1352*s**3\/7 - 265*s**2. Determine q so that d(q) = 0.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b)*(13054*b - 5*b**2 + 17*b**2 - 13098*b)*(1 - 1 + 4*b).\nAnswer: 96*b**4 - 352*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245405860.\nAnswer: 2, 5, 2381, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 o when four letters picked without replacement from oppbpobgopwpgwbp.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 13. Let o be i(4). Let s be (-24)\/o - 24\/30. Suppose 20 = 2*j + 4*n, j - 4*j = n - 10. Calculate the highest common divisor of j and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4 + 62*x**3\/5 - 321*x**2\/5 - 538*x\/5 - 32 = 0.\nAnswer: -16, -1, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*x + 53 + 15 = 0, 0 = 3*o + x - 52. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 6009434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 0, -1335 in descending order.\nAnswer: 6, 0, -4, -1335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.86 + 0.86. Which is the second smallest value? (a) k (b) 0.111 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 3 + 0*j - 1. Suppose 212 = 27*u + 189*u - 220. What is p(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) + (-36)\/8 + -659. Let u = 1031 + t. Suppose 22*v = 18*v + u. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.7 - 22. Let x = -3.7 + d. Let p = 2.5 + -2. Put x, 0.1, p in increasing order.\nAnswer: x, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v**3*x**2 + 192*v**3*x - 518*x**2 + 12*x wrt v?\nAnswer: 18*v**2*x**2 + 576*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30726 - -40597. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 2*f, -3*f + 3*u - 4*u + 22 = 0. Let i = f - 13. Let z be i\/(-21) - (-340)\/6. What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 8*n**2 + 1812*n - 908 = 0.\nAnswer: -227, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {d: 2, z: 8, p: 1, j: 2}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1000)\/((-4)\/(3 + -26803)). What is d rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjbj when four letters picked without replacement from {b: 3, j: 15}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -162*y + 11. Let r(g) = -31*g + 2. Let d(q) = 11*r(q) - 2*u(q). Let z = -4 - -3. Calculate d(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 56, 69, 82, 95, 108?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*23\/(-276)*3\/(-14)*2?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10545 + 23845. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 0 - (-419 + 387).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - 1 - 0 - (1847 + -1860).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = -5*b - 3*m - 2*m, 0 = 2*b - 4*m + 148. Is 4 - (b\/1)\/3 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9840, -39344, -88498, -157284, -245684?\n\"Answer: 3*g**3 - 9843*g**2 + 4*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423443114 + -2331?\nAnswer: 423440233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h + 21*h - 5*h**2 - h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -682.1.\nAnswer: -2046.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/15 and 32\/88677?\nAnswer: 443385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**2 - 12*r + 1. Let j be q(8). Factor g**j + g**3 - 2*g + 5*g**3 + 3*g**4.\nAnswer: 2*g*(g + 1)**2*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (6\/5)\/(1\/15). Suppose -8*y - q = -y. Let w = y + 51. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = -3*m. Let y be (2\/(-42)*-7)\/((-2)\/(-36)). Solve -2*a = -m*a + y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(1\/(-15)). Let t(c) = -c**3 - c**2 + 2*c + 3. Let r be t(0). Put 2, o, r in decreasing order.\nAnswer: o, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12878 - 12879. Which is the closest to q? (a) -4 (b) -22 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18081, -2, 8 in ascending order.\nAnswer: -2, 8, 18081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42137841?\nAnswer: 3, 29, 67, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -48 + -5.17\nAnswer: -53.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/((-13299)\/594))\/(8\/(-78)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 5. Let a be w(-3). Let q be (-5)\/(-50)*a*2725. Round q to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204402?\nAnswer: 2, 3, 11, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000921 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 2*b + 1. Let s be z(-1). Let f be -1 + 3 + 1 + -2. Suppose -2*q + 7 = -f. What is the greatest common factor of q and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2. Let w(n) be the third derivative of -n**8\/1680 + n**5\/30 - 14*n**3\/3 + 28*n**2. Let m(p) be the third derivative of w(p). Determine m(s(x)).\nAnswer: -192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0*c**2 - 7\/6*c**7 + 23\/4*c**4 + 0*c**6 + 0 + 0*c**3 + 0*c**5 + 53*c. What is the third derivative of y(h) wrt h?\nAnswer: -2940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-600)\/(-276)) - 1*8?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:06 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -161736 < -155333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.774349 microseconds in nanoseconds?\nAnswer: 4774.349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)*-1)\/(sqrt(600) - (-4*sqrt(600) - sqrt(600)))*6.\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15253 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 3432?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + n**2 + n + 3. Let x be (85\/5)\/((-3)\/(-6)). Suppose x*v - 29*v = 0. What is w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 - 4*g - 5. Let w be j(-4). What is the smallest value in w, -0.02, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*w**4 - 58159*w**3 + 5588702*w**2?\nAnswer: 432*w - 348954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163117.\nAnswer: 163117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-72)\/(-312)*-13)*468\/(-30).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1599 or 1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 785 - 627. Calculate the remainder when g is divided by 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 3, z: 1, n: 2, g: 6}. What is prob of sequence gq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 - -16. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiiuuiiiiuuuui. What is prob of picking 3 u?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 46*w**2 - 45*w**2 - 7*w + 16. Let q be x(9). Let n = q + -14. Solve -2*t - n - 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 15) in base 16?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1167302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 4 (c) -3\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 12 + -8 - -9) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/1265 and 21\/460.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -6884?\nAnswer: -4818.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 9*p**2 + 115*p + 965. Calculate w(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8510?\nAnswer: 2, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/240 + 183*r**5\/40 + 33489*r**4\/16 + 2042829*r**3\/4 + 2942*r**2. Factor c(t).\nAnswer: (t + 183)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202118869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*l - 30, 0 = 4*l - 4*z - 4 - 8. Let k(v) = -15*v**3. Let u be k(-1). Let b = l + u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000573676 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/792 and 1\/40248.\nAnswer: 442728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:42 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 35 = 30*u + 4*k, -39*u - 3*k = -180 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and -13.3.\nAnswer: 758.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76477, 76359, 76241?\nAnswer: 76123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4 + m**2 + 0 + 8*m - 13*m. Let z be w(4). Is (-74)\/(-2)*(z + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 11 = -3*w, 2*w + 2*w + 1038 - 1027 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45312196621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 101.\nAnswer: -12.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*y - 22*i + 21*i, -2*i - 10 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 289*k**2 - 44*k - 27400. Calculate b(-145).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*s + 22 = 6*d, 0 = -3*d + s - 2. Let n = 8 - d. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720476 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676920 is divided by 11095.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(51)\/sqrt(3) - sqrt(17)) - (sqrt(119) + sqrt(119) + sqrt(119)*-2 + sqrt(119))\/sqrt(7))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -56.12 times 0.5\nAnswer: -28.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 60. Suppose 0 = -3*m - 3 - 0. What is the remainder when o is divided by (-21)\/m*(-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14*k - 176. Let o be w(-16). What is the greatest common divisor of o and 1296?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - 32. Let d = -74.0061 - z. What is d rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31380 and 80130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 465120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 310469?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 24 - 6. Suppose 0*l - l + 9 = 4*s, -4*l + 2*s = -g. What is the third derivative of -3*y**2 + 4*y**5 - 2*y**5 - 3*y**l wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.56 - 77.2. Let j = o - 1.35. Which is the second biggest value? (a) 0.25 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2117 divided by 1929?\nAnswer: -2117\/1929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 11. Let j be x\/(-3) + 1 - -18. What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 - (-59 - (-2 + 1) - (96 - 112)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:19 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -331\nAnswer: -4\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose 0*s + s - 2 = u. Suppose -15*g + 16*g = 1. Solve 13 = 4*v - 5*p, -s*v + 4*p + 7 = -g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.232862us to seconds.\nAnswer: 0.000009232862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnnjmmhhzhz. Give prob of picking 1 z, 1 m, and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*d + i - 5*i, 0 = d + 3*i - 25. Let f = 23 - d. Let h(m) = 29*m**3 + 3*m**2 + 15*m + 1. Let c be h(f). Round c to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**2 - 4*i**2 + 0*i**2 + (-4 - 3 + 0)*(-3*i**2 - 4*i**2 + 3*i**2)*(-1 - 1 - 5) + 3*i**2 - i + i to v*i**2 + k + j*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 51*n**2 + 103*n - 195. Let k be 52\/3*12\/(-8). Let x = k - -43. Calculate the remainder when r(49) is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e9 (base 15) to base 12.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -1, -1203 in decreasing order.\nAnswer: 0, -1, -13, -1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*110\/(-33). What is the second biggest value in v, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6641*m**4 + 142*m**3*n + 20*m**3 - 4*m**2 - 16796067*n wrt m.\nAnswer: -159384*m + 852*n + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1275283, -2550567, -3825851, -5101135, -6376419, -7651703?\n\"Answer: -1275284*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 11:40 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l - 36*l - 82*l**2 - 1 + 79*l - 22*l to w + x*l + d*l**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.05 + -41. Let v = 21 - l. What is the nearest to 2\/3 in -3, 2\/15, v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 20*w**3 + 22*w**2.\nAnswer: -2*w**2*(w - 1)*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28239 and 26337.\nAnswer: 247910181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -3*r + z, 4*r - 10 = z. Let g(p) = 6*p**2 - 5*p**2 + 5*p**r + 2*p**2. Let i(h) be the first derivative of -2*h**3\/3 - 9. Give g(i(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18605893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 4. Let a be z(-4). Let u = 2\/6459 + -33737\/21530. Let m = u - -16\/15. What is the nearest to a in 0, m, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*g - 32*g - 40*g + 2 + 198*g - 53*g.\nAnswer: 31*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*i - 254*i = 3. Solve -5*y + i = -8*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1166, 11, -0.4 in decreasing order.\nAnswer: 32, 11, -0.4, -1166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-75)\/10. Is (6\/r)\/(3\/(-15)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33051509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31957790 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 - (-53 + 49) - 111?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2\/4)\/(-1))\/((-13)\/52). Suppose -3*d - 4*a = -v*d - 361, -2*d = -2*a - 762. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2. Let x(s) = -23*s + 8. Let h(v) = -8*v + 3. Suppose y + 9*y = 80. Let j(k) = y*h(k) - 3*x(k). Calculate a(j(o)).\nAnswer: 175*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183*s**4 - 2*s - 141.\nAnswer: -2196*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4223*z + 92422 = 320*z - 298*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 188 = 4*z, -11*z = -3*t - 9*z + 282. Let v = 135 - t. Solve -v = -8*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7499*n**4 + n**3 - 816*n**2 + 1230419*n - 11?\nAnswer: 89988*n**2 + 6*n - 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-24) - 2\/6)*(-88 - -82).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.06 + -0.06. Let t(h) = h**3 - 36*h**2 + 31*h + 143. Let g be t(35). Which is the closest to 0.1? (a) g (b) s (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376401 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 1 (b) -4\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 4)*(0*a + 2*a + 0*a) - 3 + a + 3 - 1 + 2*a + 1 + 0*a - a + 0*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44933042 to the nearest integer?\nAnswer: 6703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(4)\/sqrt(2))**2 - sqrt(2)) + 2 - (-4 + sqrt(72) + (sqrt(72) + 0)**2).\nAnswer: -72 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a073 + -2a?\nAnswer: 3a046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2829 + 2829. Let p(f) be the third derivative of f**7\/2520 - f**6\/720 + f**5\/30 - 3*f**2. Let c(o) be the third derivative of p(o). Give c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*v + 25, 5*x + v - 15 = 10. Suppose -x*k - 13 = -98. What is the remainder when 32 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23186630 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 9*t - 5*t + 15*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, -1, 0, 1, 2?\n\"Answer: d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/29 + -1\/87. Let x = -29 + 33. Solve -2*j**2 - 1\/3*j**x - v - 4\/3*j**3 - 4\/3*j = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6903706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 32 = -4*i - 983*p + 986*p, 5*p - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23ab35 (base 14) to base 9.\nAnswer: -2260234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3282523304 to the power of 1\/2, to the nearest integer?\nAnswer: 57293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1509*p**4 + 3147?\nAnswer: -6036*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 418.2498 centimeters?\nAnswer: 4.182498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 9 - 49 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = 6 + 46 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Suppose p + 5 = 1. Let v(u) = -6*u**3 - 4 - 10*u**2 + 10*u**2. Let f(i) = -7*i**3 - 5. Determine m*v(o) + p*f(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1001000010100010010 (base 2) to base 15\nAnswer: 5cb75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 12 = 54. Let u(r) = -r**3 + r**2 + r + 29. What is the remainder when u(0) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1.7217\nAnswer: -8.6085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13314780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 0, 6 = 4*o + 5*n - 18. Let p(k) = 2*k**2 + 2*k - 1. Let q be p(1). Let l be (-3)\/((-43)\/5 + 8). Solve l*g - q*y - 6 - o = 0, -g = -y - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -714*n*s**2*w**3 + 2*n*s**2 + n*w**2 + 339*n*w + 3*s**2*w**3 wrt w.\nAnswer: -4284*n*s**2 + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + -2*1. Let n = m - -6. Suppose -o + c = -0*c - 12, -n*o - 2*c + 36 = 0. Solve -5*h + o = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -250*u + 245*u + 20. Suppose 43 - 18 = -5*z, -3*z + 305 = u*v. Suppose 4*y - 20 = 44. Calculate the greatest common divisor of v and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - t - 11, 3*t + 11 = 4*r. Let a(u) = -r*u - 2*u + 3*u + 4*u. Let f(s) = -2*s. Give f(a(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5076 + 770893\/152. Let n = c - -80\/19. Let f = 0.1 + -0.1. Put f, -0.4, 2, n in descending order.\nAnswer: 2, f, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1, 16\/31, -2, -10, -1.\nAnswer: -10, -2, -1, -2\/9, 16\/31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i - 90. Let c be (-124)\/(-10) - (-12)\/i. Solve b + 15 = -5*y, 0*b = b + 4*y + c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14 - (-132)\/462*357\/6. Let d = 2 + -5\/2. What is the biggest value in 0.31, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q = 30*q + 56620. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + s + 0*s - s**4 + s**2 - 2 - 3*s**2 as o*s**3 + q + c*s**4 + x*s + n*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311 by 2070.\nAnswer: -311\/2070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7)\/(t\/(t\/(t\/(((t\/(t**(-1)*t))\/t)\/t)))))**(-33)\/((t**(-1\/5)*t**5)\/(t**(1\/4))**(-1\/9)) assuming t is positive.\nAnswer: t**(112717\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/17 - -25\/102. Let b = -11 - 4. Let x = b + 11. What is the nearest to 0 in 0.4, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/24 - 22\/24. What is the nearest to p in -0.3, 0.2, 1\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(37\/111*(-6)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6214*j*t**3*u**3 - 4*j*t**3 - 5*j*u**3 - 3*j*u + 2329*t**3*u**2 wrt u?\nAnswer: 37284*j*t**3 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8853 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)\/c**2)\/(c**(-1))**(-11) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -687260445 divided by -4?\nAnswer: 687260445\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*c - 7*c + 31*c)*(3 + 1 - 2) + (5*c - 5*c + 2*c)*(4 + 3 - 5).\nAnswer: 118*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/252 - 2\/(-8). Let f = c - 104\/105. Let s(v) = v**2 + 7*v + 10. Let l be s(-4). Which is greater: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 72. Let c = -11 + y. Suppose -21 = -g - 4*p, 3*p = 4*g + 2*p - c. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62\/21 - 113\/42. Let m = 1\/42 + z. Which is the closest to m? (a) -6 (b) 3\/8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.33253cm to nanometers.\nAnswer: 843325300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-15)\/2*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 5*t + 6*t - 7*t to c + g*t + w*t**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 14 = 3*c + 6*a, -1 = -176656*c + 176654*c + 5*a for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 15*o + 101 + 0*o**2 - 64. Let h be z(17). Solve 0 = q - h*i - 14 + 3, 4*i = -8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 5*f + f)*(f - f + f) + f**2 - f**2 - f**2 + 2 - 2*f**2 - 2 - 5*f**2 + 0 + 3*f**2 - 2.\nAnswer: -6*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-462)\/(-308)*((-6)\/(-21))\/(6*3\/70)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 14) + (-39 - -48) - -20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -712\/1241?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059612661?\nAnswer: 1777, 596293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3903207948.\nAnswer: 2, 3, 367, 295429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18705*u**2. Let s(j) = -695*j**2. Determine s(a(x)).\nAnswer: -243164532375*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239784536 or -239784534?\nAnswer: -239784536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {v: 3, u: 2, o: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 47 = -2*c, 1040 = -5*k + 2*c + 1097 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.37 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.540646ml?\nAnswer: 0.005540646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6. Let f(i) = -1. Let w(o) = -5*f(o) + h(o). Let l(c) = c - 3. Let a(n) = l(n) + 3*w(n). Calculate a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80057090643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 18 = 4*u, 5*h + u - 36 = 2*u. Let j be (h\/(-3))\/((-5)\/30). Is 302\/j - (-12)\/28 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:59 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/77*(-464)\/696*6\/(-8)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v - 3760 = -42*v + 4*q, -5*v = -q - 18781. What are the prime factors of v?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12507 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 0, 30, 60, 84, 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -36*h - 131. Give l(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-3) + 3\/((-3)\/2). Let n(j) = -5*j - 54. Let q be n(c). Solve -p - 3*p = 2*d - q, 4*p = -3*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144 in -0.3, -1.98, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2904*b*c**3 + 5*b*c + 39*b + 2*c**3 - 4155 with respect to c.\nAnswer: -8712*b*c**2 + 5*b + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 10. Suppose -2*i = 4*d + 14, -d + 0 = i + q. Let l(j) = j**2 + 2*j - 6. What is l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 0*w**2 + 0*w**6 + 10\/7*w**7 + 2\/3*w**3 - 12 - 17*w + 0*w**5 + 0*w**4. Find the third derivative of n(y) wrt y.\nAnswer: 1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = o + 28*p - 27*p, -2*o + 15 = 3*p for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 182 + 180 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1088))**2 + sqrt(1088) - sqrt(1088)) + sqrt(1088) + 4.\nAnswer: 8*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2792168 rounded to 2 decimal places?\nAnswer: -21.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1868, -1801, -1646, -1355, -880?\n\"Answer: 8*a**3 - 4*a**2 + 23*a - 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000391873 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4819282, -4819259, -4819200, -4819087, -4818902, -4818627?\nAnswer: -4818244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -95. Let q(i) = -i**3 + 5*i**2 - 3*i + 3. What is q(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**2*w**2 - t**2 + 2*w**3 + 2 wrt w.\nAnswer: 8*t**2*w + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 - 9*m - 1. Let p(z) = 5*z**2 - 9*z - 2. What is -4*a(o) + 3*p(o)?\nAnswer: -o**2 + 9*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112444320 (base 5) to base 13.\nAnswer: 1508a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + (142 - 436) + 53.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-18)\/12*21\/63)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/20331 + -97057\/1626480. Calculate the common denominator of n and -1\/840.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-six fifths of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -10372774\/7 and -1481825 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 10*p**2 + 2*p + 22. Let o(h) = 2*h - 66. Let k be o(28). Let i be z(k). What is the first derivative of 6*v**i - 5 - 16 - 22 wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-5 - 3) - -4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 4*a - 16, -23*a = f - 21*a - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f - 8. Let n be y(-2). Let u be 3 - (n - (0 + -1)). Suppose 2*d + u*d + 2*w - 34 = 0, -2*w = -2. Solve 3*g = -g + d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -328 - -253. Let p be -4 + d\/(-13)*(-14)\/(-21). What is the third biggest value in 0.3, p, 20?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:11 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(567\/(-237)) - -9. Suppose 2\/3*d**2 + 4\/9*d - 2\/3*d**4 - 2\/9*d**3 + 0 - y*d**5 = 0. What is d?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 3) + -6 + 5 + (-4 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 61.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028350883 to seven dps.\nAnswer: 0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21\/5 + -68\/15. Let q = 0 + -6. Let n be 3\/(-8)*q\/9. What is the second smallest value in i, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44184397207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6624)\/3864*(-686)\/(-21).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:08 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13043\/90 - 726\/5. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*q - 3*q - 3069, -6*o + 18414 = -3*q. What is the remainder when o is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19 - 27 - 5*r + 12 + 4*r**2 - r**3. Let z be p(2). Solve 4*d + 23 = g, 0 = -3*g + d + z*d + 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90969 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - t**2 - t + 84. Suppose -2*w + 5*w = 2*j, 4*j + 2*w = 0. What are the prime factors of o(j)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 t when three letters picked without replacement from ttxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14440 divided by -95\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*i - 24 = 0, -5*g - 2*i + 1249 - 1287 = 0. Let a(x) = -6*x**2 - 13*x - 11. Give a(g).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4 and 111\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4197, 8749, 13303, 17859, 22417?\n\"Answer: s**2 + 4549*s - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -7*h**4\/4 + 11*h**3\/2 - 3*h**2\/4 = 0.\nAnswer: 0, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 37243.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.4. Let m be (0 + 4\/24)\/((-10)\/12). What is the nearest to m in 4, -3\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {p: 1, a: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/594 and 149\/162?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412410061 to the power of 1\/2, to the nearest integer?\nAnswer: 37582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70.5079*-4\nAnswer: -282.0316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 241? (a) 5 (b) -0.4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -1, 5, -8.\nAnswer: -8, -1, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120592.7 months in centuries?\nAnswer: 933.82725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 729 - 750. Let b be (-98)\/i + 2 + -7. Sort b, 0.02, -4, 5 in ascending order.\nAnswer: -4, b, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {u: 3, n: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 - 17 - 6*l**2 - 3*l**2. Let b be p(-4). Let w = b + 98. What are the prime factors of w?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-8 - (-5 + -1 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(-6*z + 2*z + 3*z + 3*z - 7*z + 2*z + z - z + z + (1 + 1 + 0)*(z + 0*z - 2*z) + 63 - 63 - 7*z).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 42*s + 2780. Calculate h(33).\nAnswer: -1873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*h**2 - 102*h**3 - 61*h**3 + 115*h**3 - 606*h wrt h.\nAnswer: -288*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-16 + 0 - -19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 359181*m**3 - 6*m**2 + 2942282 wrt m.\nAnswer: 1077543*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9)*(-12)\/72.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17517+3883271\nAnswer: 3865754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78142, -156282, -234422?\n\"Answer: -78140*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-4))\/5*2. Suppose 0 = -2*j, -10 - 15 = -5*u + c*j. Solve -u*x = 13 + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h - 4. Let b be i(6). Let r = b - -54. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9973 - -19022. What are the prime factors of a?\nAnswer: 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8385\/7722*(-16)\/(-10). Let u = -3118\/1419 + 2\/129. Let i = u + y. Which is the second biggest value? (a) 0 (b) i (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 2*f - 1035. Suppose -4*c + j - 19 + 88 = 0, 5*c + 4*j = 123. What is the remainder when f is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*s - 5755, 13*l = 8*l + 2*s + 28801. List the prime factors of l.\nAnswer: 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2346416?\nAnswer: 2, 53, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229 or -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)*k*k)\/k)\/(k\/k**(3\/5)))\/(k*k**(2\/11)*k**(-6\/11)*k) assuming k is positive.\nAnswer: k**(-167\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655)*1*-4)\/((sqrt(891) - sqrt(891)*-4)*-6).\nAnswer: 22*sqrt(5)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*g**5 + 296*g**4 + 1432537*g wrt g.\nAnswer: -560*g**3 + 3552*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13615, 13621, 13615, 13591, 13543?\n\"Answer: -b**3 + 13*b + 13603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:01 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 17. Let r be 4\/(-16) - (-2)\/l. Is 35\/3*(3 + r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + -1277570527?\nAnswer: -1277570526.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6264 and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 3580890*c - 28647312.\nAnswer: 3*(c - 1193638)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 65. Calculate the lowest common multiple of 9 and c.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 - 20*v - 36. Let q be d(6). Suppose -507*j + 513*j = q. Solve -o + 3*b = 3, -j*o - 12 = -9*b + 4*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 7*k - 31, 2*z + 8455*k + 10 = 8459*k for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a36179c - -3?\nAnswer: -a361799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c01 + 4?\nAnswer: 2c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p. Let f be (1 - -2)\/(6\/40). Suppose p*b + f = 5*b. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 - 598*n**2\/7 + 1202*n\/7 - 86.\nAnswer: -2*(n - 1)**2*(n + 301)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468751 take away -0.03181?\nAnswer: -1468750.96819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/10 + 1)\/(-1). Let q = -0.05 + 0.45. Let y = -3191\/6164 + -358\/1541. Which is the smallest value? (a) q (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20 + -2)*1 - 0. Suppose 63 = -8*x - x. Let n = x - t. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -11122222212110?\nAnswer: -11122222212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-1737)\/5018?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*b + w, 0 = -2*b - 3*b - 4*w + 45. Suppose 0 = 4*a - b*a + 125. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.055 + 0. Let q = i - 1.345. What is q rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 914*l**2 + 4*l**3 + 61 - 914*l**2.\nAnswer: 4*l**3 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47048, 2, -5.\nAnswer: -47048, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(0 + sqrt(891) - sqrt(891) - sqrt(891)) - sqrt(891))*-3 - (3 + -1 + sqrt(891))*4)*4 + 5)**2.\nAnswer: 13608*sqrt(11) + 699273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-10))\/((-1071)\/510).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/7 - 4833*t\/7 - 81918.\nAnswer: 3*(t - 1722)*(t + 111)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, c: 7}. Give prob of picking 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114 in 5, 0.8, 1.96, -0.8, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**47)**(28\/11)\/((q*q**(-1)*q*q*q\/((((q\/q**(-4))\/q)\/q)\/q))\/(q**(-4)*(((q*q**(-3))\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-1426\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5 - 39*j**4 - 87*j**3 - 45*j**2 = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 8*b**2 + 14*b + 14. Let n be k(-6). Solve 5*r - f + 17 = 0, 2*f + 4 = -n*r + f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 232, 312, 336, 286?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 27\/2. Which is the nearest to 2? (a) 3 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*x**2 + 563*x**3 + 115*x**3 - 541*x**2.\nAnswer: 678*x**3 - 896*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + (-403)\/3. Suppose 438*s - 440*s = -i - 200, -2*i + 3*s - 402 = 0. Let a = l - i. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Suppose 36 = 3*z + 3*p, -3*z + 0*p + 44 = j*p. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/120 + s**5\/10 - s**4\/4 + 11*s**3\/6 + 78*s**2 + 3*s. Determine f(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = 26*l + 16. Suppose 0 = 2*k + f - 3875, -3*k - l*f = -6*k + 5816. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -14. Suppose 4*k - 3*k = -5*a + n, 2*k + 8 = 0. Find the third derivative of -3*c**2 + c**2 + 5*c**a - 2*c**6 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3 - 3*i**2 - 3 - 3*i**2 + 5*i**2 - 7*i. Let d be t(-4). Differentiate a**2 - 4*a**2 - d*a**3 + 3*a**2 + 3 with respect to a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253.86*1.6\nAnswer: 406.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -6*d - 1\/18*d**3 + 3 - d**2. Factor r(l).\nAnswer: -(l + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 18. Let q be f(-5). Let d(y) = -15*y - 5. Let p be d(q). Does 8 divide 17\/119 + (-10)\/(-14)*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4 + f**3*r**3 - 3*f**3*r - 157*f**3 - 6029*f**2*r**3 - 2*f*r + 2*r**2 wrt f.\nAnswer: 24*f + 6*r**3 - 18*r - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36384 and 396813.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 s, and 1 f when four letters picked without replacement from ffscsssfsgcfsgg?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 24. Suppose -3*b = b - 8. Suppose 3*f = b + 13. Solve 26 = -f*s - 4*d, 4*s + 20 = 3*d - y*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2252, -5, 3 in decreasing order.\nAnswer: 3, -5, -2252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-14718)\/(-44))\/(1\/30)?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8240136.\nAnswer: 2, 3, 521, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:14 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 79 = -5*d, 10*t - 7*t - 3*t - 66*d = -t - 297 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let v(k) = -2*k**2 - 7*k. Let a(g) = v(g) - 3*y(g). Let n(i) = -3*i + 8*i - 6*i. Determine a(m) - 4*n(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-5))\/(2\/20). Let q = -373\/945 + -1\/189. Let x = -70 + 137\/2. What is the second biggest value in h, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otoofooofooofooto. What is prob of picking 2 f and 2 o?\nAnswer: 99\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17800290 or 124602032\/7?\nAnswer: 124602032\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/7 - 2\/7. Suppose 0 = 5*a - 87 - y. Let n(c) = -c**3 - 4*c**2 - c + 2. Let k be n(-4). What is the highest common divisor of k and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**3 - 3*t + 3*t - 17*t**3.\nAnswer: -37*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b + 1. Let c(h) = 10*h + 2. Let x(k) = -3*c(k) + 2*s(k). Let r be x(-2). Find the common denominator of -75\/34 and ((-660)\/r)\/(24\/(-2)).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588195228 by 98032538.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 8 (c) -4728\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 527 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8659 + 76867 = -546*x + 1764*x for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 40*r - 3. Let k be u(5). Suppose -3*p = -4*g + k, -2*g + p + 14 = -87. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -4, 16, 769, 2 in increasing order.\nAnswer: -4, 0, 2, 4, 16, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18828990 is divided by 427.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5 + 2. Let h = j + -5. Let x be (-9)\/(-16)*h\/6. Sort 0.2, 4, x in ascending order.\nAnswer: x, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(35) + (sqrt(35) + sqrt(175)\/sqrt(5) + sqrt(35) + sqrt(35) + sqrt(35))*6)\/(sqrt(30)\/(sqrt(6) + sqrt(6) + sqrt(150) + sqrt(6))).\nAnswer: -744*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1 + 0 - (-72 - -73)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009047095 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/7326206 and 85\/7326206.\nAnswer: 7326206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s - s + (-2 - 3 + 7)*(-2*s + s + 0*s) + 984*s - 1720*s + 1084*s)*(-6*s + 16 - 16).\nAnswer: -2064*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12))**(-16)*(l**(-4\/19))**(-1\/9) assuming l is positive.\nAnswer: l**(32836\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -361.\nAnswer: -360.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(11\/6))\/u)\/u**10*(u**(-1\/15))**(-11) assuming u is positive.\nAnswer: u**(-101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 513563549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2150 - 520. Let y = u - -165. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2062, -4004, -5944, -7882?\nAnswer: -9818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1689687, 6758704, 15207065, 27034770, 42241819, 60828212, 82793949?\nAnswer: 108139030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, 58 in decreasing order.\nAnswer: 58, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o + 30. Suppose -4*z - 445 = 2*l - 1847, -4*l = 5*z - 1748. Let c = z + -350. What is the smallest common multiple of m(0) and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001011111 (base 2) to base 12\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.4. Let y = -5.05475 - -0.05475. Let o = -0.3 + 2.3. Sort o, y, l in increasing order.\nAnswer: y, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 11*i - 22. Let f be (-15)\/2 - 1 - (-6)\/12. Let z be a(f). Solve 4*h - z = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930820963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -87, 5, -2, 20 in decreasing order.\nAnswer: 20, 5, -2, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 + 4*y - 7. Determine b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.089848 + 4429.189848. What is j rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100250489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 2*v + 1. Let y(u) = 41*u + 351. Let i(x) = 3*h(x) - 3*y(x). Factor i(z).\nAnswer: 3*(z - 50)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 4. Let w be b(-4). Let v(o) = -o**2 + 12*o**2 - 5*o**3 - 11 + w*o**2. Let k(i) = -2*i**3 + 5*i**2 - 5. Calculate 9*k(t) - 4*v(t).\nAnswer: 2*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 - 1070 = 101*v + 489 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(1\/10)*h*h\/(h**2\/h*h)*h)**34 assuming h is positive.\nAnswer: h**(663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 + -3. Let z = 1 + -1.8. Let d = -0.2 + z. Which is the closest to d? (a) 2\/7 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351857637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 60 + 22055\/(-176) + 65\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - 2.99. Suppose 18 = 3*y - 2*a - 0*a, 5 = -y - 3*a. Suppose -2*t + 2 = y. What is the closest to 1 in t, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 2 - 1) + -5 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23020 (base 5) to base 6.\nAnswer: -11323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -675*b - 43703 wrt b.\nAnswer: -675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2597106869 rounded to five decimal places?\nAnswer: 0.25971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94298960 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 - 3*d + 3. Let o(k) = -2*k**3 - 5*k**2 + 5*k - 6. Let h(y) = 2*o(y) + 5*q(y). Give h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a\/(a*(a\/((a\/a**20)\/a*a))\/a))))*a\/((a\/a**(-3\/8))\/a)*a**(8\/5)*a\/(a\/((a*a\/(a\/(a\/a**(-2\/13)*a)))\/a)))**(-5) assuming a is positive.\nAnswer: a**(-12677\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 41, -0.5, -0.1, -112, 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -0.1187 (b) 23 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22535863 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 3, -4, -9718 in decreasing order.\nAnswer: 98, 3, -4, -9718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3913087000 rounded to the nearest 1000000?\nAnswer: -3913000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 + 2*r + 7. List the prime factors of o(-6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 4 + 4)*(-3*f - 5*f + 6*f)*(2*f**2 + 39 + 14430*f - 14430*f) + 5 - f**4 - 5 as z + b*f + m*f**2 + q*f**3 + v*f**4 and give m.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Suppose 13*z - 23*z = -880. List the prime factors of 1\/((r\/z)\/1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -630 - -613. Sort -14, -2, 5, q in decreasing order.\nAnswer: 5, -2, -14, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**2. Let i(a) = -40*a. Determine i(x(f)).\nAnswer: 400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 12*q**2 - 7*q + 32. Let a(j) = 3*j + 1. Let o be a(4). What is the tens digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 8*c**2 - 8*c - 5. Let k be g(9). Let y = 93 + -42. Suppose -4*b - 43 = -0*b - l, -3*l - y = 3*b. Sort b, k, 1 in descending order.\nAnswer: k, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -6. Suppose 20 = -a*c, -6*m - 8 = -3*m + 2*c. Factor m - 1\/2*k**2 - 1\/2*k.\nAnswer: -k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -6 - 45. Suppose -n*h + 2*w = 3*w - 182, -h = -2*w - 70. Does 31 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*w + 34*w - 4*v - 29, -4*w = -2*v + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose 3*x - a = 4. Suppose 0*p + 2*p + 2*v = 322, -x*v - 632 = -4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -297624*v - 752*v**3 + 297624*v - 530 + 42 wrt v?\nAnswer: -2256*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6548 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 6. Let d be (-2)\/1 - (-14)\/10. Which is the nearest to -0.1? (a) -1 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -47.6. Let i = -4.9 - d. Let w be 21\/6*6\/28. What is the second smallest value in i, -2\/7, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 - 2*m + 3. Suppose -7*w + 2*w - 3*z = -19, -10 = w - 4*z. Let p be c(w). Solve -o + 2*u + 2 = p, u + 17 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**2 - 26*f**2 + 8*f**2.\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176.8 + 18.8. Let w = c - -157.9999806. What is w rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.69 + 66.48. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -24 + 7 - 1) + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 + 5*o**2 - 24*o**2 + 13*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 0 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -258*i**2 + 15. Let u(m) = -37*m**2 + 2. Let w be (15 - 12) + (-2 - -1). Let y(p) = w*g(p) - 15*u(p). Let z(q) = -q**2. Calculate y(z(v)).\nAnswer: 39*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a + 537*a**2 - 145*a**2 - 201*a**2 - 192*a**2.\nAnswer: -a**2 + 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(11\/4)*t**(-5) assuming t is positive.\nAnswer: t**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114239522211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-6))\/(((-130)\/(-624))\/(15\/(-4))). Solve -488 = 67*b + q for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101499198 and 18?\nAnswer: 304497594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 947678 and -0.3.\nAnswer: 947677.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -189ab7 (base 13) in base 16?\nAnswer: -97b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, n: 1, l: 4, g: 8, k: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 + 2751\/(-210))\/(2\/(-100)). Let r(c) = c**3 - 5*c**2 - 4*c - 6. Let s be r(6). Solve -u*j = -s*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (-26)\/4)*-2. Find the third derivative of y*g**4 - g**2 - 9*g**4 + g**5 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:54 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2698 = -m, -8901 = -6*r - 3*m + 7242. What is the remainder when r is divided by 223?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 2. Let j = 0.14 + 0.06. Let w = j + o. Is w equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 703*q**6 - 6*q**3 - 188*q**2 + 6*q - 12. Let c(s) = s**3 - s + 2. Let z(k) = -6*c(k) - n(k). What is the third derivative of z(t) wrt t?\nAnswer: -84360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 180 + 45. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*i - 203 = 0, -84 = 2*d + 3*i + 31. Let f = d + 139. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 2. Let g be m(-5). Let h(t) = 3*t - g*t + 0*t - t + 4*t**2. Is h(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -71. Suppose 0 = 5*o + 7*p - 6*p - 18, 0 = o + m*p - 9. What is the highest common factor of o and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - y + 4. Let t(n) = -6*n**2 - 2*n + 11. Let j = -237 - -229. Give j*x(g) + 3*t(g).\nAnswer: -2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1016 - 13?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 2)*(-7*g + 0*g - 20*g)*(2*g + 1 + 3*g + 2*g).\nAnswer: -1323*g**2 - 189*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -x - 4*b - 3, x - 3 = -b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m - 65. Let t be f(14). Let p = 142\/3 - t. Which is the nearest to -5? (a) -3 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.5937759 rounded to two dps?\nAnswer: -234.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4122*d**2 + 4*d. Let c(t) = 111*t + 1. Give c(r(m)).\nAnswer: 457542*m**2 + 444*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/2, 9, 0.2, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znnz when four letters picked without replacement from eznmezezknzzzkekemnj?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 80*w**2 - 2*w + 3. Let m(u) = 159*u**2 - 4*u + 5. Calculate -4*m(c) + 7*o(c).\nAnswer: -76*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/(288\/19872)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 2 + 4 - 7. Let u(a) = 5*a - 6. What is -4*h(f) + u(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(-86*n - 15 - 130*n**2 + 131*n**2 + 88*n) as c*n**2 + j*n + q and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 - 4)*(-2*s + 4 - 4)*(99 - 196 + 35).\nAnswer: 496*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9170 = -5*a + 5*t + 7625, -3339 = -a - 3*t. List the prime factors of a.\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1773 + -702?\nAnswer: -2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2115426 + -262?\nAnswer: 2115134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -108, -208, -310, -414, -520, -628, -738?\n\"Answer: -v**2 - 97*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 11*s + 19. Let z be i(9). Let c be 0\/(z - -1) + 27\/(-9). Let t(h) = 4*h**2 - 3*h**3 - 4 + 4*h**3 + 0*h**3 + 3*h. Calculate t(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*f - 18, -2*h + 7*f - 6*f = -31. Let c(r) = -r + 20. What is c(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*m + 4*m. Let z = -5\/133 - -447\/266. Find the common denominator of 2\/(-20)*m - -1 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + 5.98. Let t = b + -3. Suppose 0 = -3*w + 6, -4*x - 11 = -3*w + 11. What is the biggest value in x, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20493 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(4\/3)*h)\/h)\/(h\/h**(12\/7)))\/((h**6\/h)\/h*(((h\/h**(5\/4))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 5 - -4)\/((-3)\/12). Let y(t) = -t**2 + 1. Give y(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1672818, 3345646, 5018476, 6691308, 8364142, 10036978?\nAnswer: 11709816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.532 + -22.5394. Let j = 8.5 - 3.5. Let p = q - j. Round p to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11609688 or 11609685?\nAnswer: 11609688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -1\/30*u**4 - 4356\/5*u**2 - 44\/5*u**3 - 49 + u. Determine w, given that h(w) = 0.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 divided by 3?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 1492, 3158, 5456, 8386, 11948?\nAnswer: 16142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7307.107l in millilitres?\nAnswer: 7307107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -8, -3*s - 26 = -5*s + 2*d. Let m(t) = t - 11. Let i be m(s). Solve j + i = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6 and 87\/196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830205 is divided by 16601.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/14*(-8)\/3. Suppose -q - 5*a + 29 = -0, 5*q = -5*a + 65. Suppose -i - q = -b*i. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5474*m - 7462. Let y(x) = -8208*x - 11196. Let b(c) = 8*h(c) - 5*y(c). What is the derivative of b(o) wrt o?\nAnswer: -2752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(17\/4 + -4). Suppose -5*x + 81 = -3*v - 0*v, -59 = 2*v - 5*x. Let h be 212\/u - 4\/v. Solve -3*a + 4*l + h = 0, 0 = -4*a - 2*l - 1 - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4073283641.\nAnswer: 7, 101, 983, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8201, 5, 4, 151 in decreasing order.\nAnswer: 8201, 151, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*s - 111 = -2*s - 109, -2*n + 4*s = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17)\/(-3))\/((-3)\/9)*-161. Suppose -18*i + l = -16505. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-2 - -4) - (138 - 128)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((78\/273)\/(2\/(-28)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8\/3)*s*s)\/s**(-1\/3))\/(s**(-1\/3))**(8\/11) assuming s is positive.\nAnswer: s**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44*(-12)\/99)\/((-4)\/6*3)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*g - 17*g + 635*g**5)*(4 - 1 - 1)*(0 + 0 - 3).\nAnswer: -3810*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - 8. Suppose 3*q - 3*l = 198, 0 = -4*q - n*l - 3*l + 273. Suppose 4*v - q = -19. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 920 - 962. Let k be 5 + b\/12 + (-5)\/6. Put 66\/13, -3, k in increasing order.\nAnswer: -3, k, 66\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0264 or 0?\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-18)\/48*(-19024)\/123\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m - 232. Let h = m - 31. 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 737 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 6, 0.327, 5, -1, 2.14?\nAnswer: 2.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:20 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 + 22*b - 720. Let k be s(20). Calculate the highest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1955 - 605 - 1762 + 321 + 5000*h wrt h.\nAnswer: 5000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3524492\/39 + -90366. Let j = -10\/39 + o. Determine t so that 2\/3*t**5 - j + 0*t**4 - 14\/3*t**3 + 4\/3*t**2 + 8*t = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-1\/3)*g*g)\/g))**42)**(-18)\/((g**(-1\/2)\/(g\/(g*g**(-6))))\/(((g\/g**0*g)\/g*g)\/g**(-1\/6))) assuming g is positive.\nAnswer: g**(1538\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 259 = 2*s + 3*s, 2*y = -4*s + 286. List the prime factors of y.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-96480)\/(-469))\/(-80))\/(3\/(-49)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -4. Let r = w - 6. Let y = r + 36.99894. What is y rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417131621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*r**5 + 2504*r**4\/7 + 934*r**3\/7 + 16*r**2\/7 - 24*r\/7 = 0. What is r?\nAnswer: -1, -2\/5, -2\/7, 0, 3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80891 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44 and -2006?\nAnswer: -88264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:46 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -4*w. Let y(x) = -x + 1. Let z be y(-3). Suppose -w*a = z*f - 15, -6*a + a = -f - 25. Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 452, 4, -0.09, -19?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/3*i**4 - 8*i + 28\/3*i**2 - 26\/3 + 8*i**3 = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5282*u + 24373 = 4288*u + 137689 for u.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 12:09 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/405*15)\/(260\/1404).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412 (base 8) in base 11?\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5055 and 308417682?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(900))\/(sqrt(27)*5))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-1*16\/72. Let m = -8 + 1. Let i = -7.4 - m. Sort 0.1, i, r in increasing order.\nAnswer: i, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3039.21 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - 4*u**2 - 7*u - 10. Let y be h(-4). Let v = y + -98. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*k*n**2*p**3 + 7*k*n**2*p**2 - 2*k*n**2 - k*n*p**2 + 13*k*p**2 - 2*k + 34*p**3 wrt n?\nAnswer: -50*k*p**3 + 14*k*p**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, -220, -435, -592, -697, -756, -775, -760?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*j + j = 17, -4*j + 4 = 0. Let x(b) = 6*b**2 + 3*b + 5. Let a(o) = -o**2 - 2*o. Let r(f) = -5*a(f) - x(f). Determine r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -40*d + 1. Let f(p) = 14*p**2. Calculate v(f(u)).\nAnswer: -560*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 25*w**8\/336 + 13*w**5\/60 - 9*w**2. Find the third derivative of x(b) wrt b.\nAnswer: 1500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 14. Let v(m) = -10*m - 3. Let t(s) = 9*s + 2. Let c(l) = j*t(l) + 4*v(l). Let q(n) be the first derivative of n**3\/3 + 824. Determine c(q(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -783? (a) 2046 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljldstjtltgdd. What is prob of picking 1 j, 1 s, and 1 t?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3\/3 + y**2\/2 + y + 44. Does 4 divide p(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + 3*s - 14. Let z be h(-6). Suppose 0*x = z*x - 176. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35275313 and 87445?\nAnswer: 176376565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from fkvfvvfvfzyzvvyy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from hhcjgccgc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1512, 5983, 13422, 23829, 37204?\nAnswer: 53547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 - -101. Suppose -p*s = -16*s + 30. Suppose 20 = 4*g - 2*o, -5*g + 5*o + 5 = -s. Let f(q) = -q**2 + 5*q + 5. Give f(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 14*l**2 - 7*l - 1. What is the units digit of f(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 1, h: 2, j: 2, n: 1, r: 1}. What is prob of sequence mjj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3111001223 - 2?\nAnswer: -3111001230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 134318801 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: Calculate the least common multiple of 110 and 2180.\nAnswer: 23980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 17. Let t(p) = -2*p + 6. Let d(k) = 6*q(k) + 17*t(k). Let g(b) = -34*b**2. Give g(d(m)).\nAnswer: -136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 - 827. Let m = k + 235. Is -313 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (-2)\/8. Suppose i = u - 3*u. Suppose -z - 65 = -5*a, 39 = -4*a + 4*z + 107. Solve -4*o + a + u = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112.5 + -112. Let l = 46 - 136\/3. Which is the nearest to 1? (a) d (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*o + 5*s - 26 = -239*o, -o - s = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllsllllsl. Give prob of picking 3 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 767 + -745.3. Which is smaller: b or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391631.\nAnswer: 391631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129421, 129422, 129423, 129424, 129425, 129426?\nAnswer: 129427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/7 + 763*k + 16032\/7 = 0.\nAnswer: -3, 5344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3386716?\nAnswer: 2, 67, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(98)*3 - (sqrt(128) + 3) - ((2*sqrt(10) - sqrt(10))*-2)\/((sqrt(50) + sqrt(150)\/sqrt(3))\/sqrt(10))))**2.\nAnswer: -28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -1.9397.\nAnswer: -1.35779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -6*j - 5. Let n = 1 - -2. Suppose 4*g + j*y - 24 = 0, -n*y + 66 = 5*g - 7*y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*c**3*g*q - 13*c**3*q**2 - c**3*q + 3*c**2*g*q**2 + c**2*g + c wrt q.\nAnswer: -26*c**3 + 6*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3194564 (base 11) to base 2\nAnswer: 10101011010011110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -496 (b) -3 (c) 9 (d) -4 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -52. Does 7 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -11. Let i(q) = q**2 + 6. Let c be i(0). Suppose h = z + 5*g - c*g, 5*z - 38 = 2*g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 9033877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8304 is divided by 91?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.026, 246, -0.4, -3, -0.1, 0.113, -5?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - 636. Let p = 614 + d. Calculate the lowest common multiple of p and 77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + 435\/21. Suppose 39 = 5*c - a. Suppose 0 = -3*y + c - 3. Solve -3*k - 9 = -t, -3*t = -y*k - 11 + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55344 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqzqdql. What is prob of sequence zlid?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -127916 divided by 4\nAnswer: -31979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 2:50 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/3 - 42304*c**2\/3 + 1984970*c\/3 - 7738500 = 0. Calculate c.\nAnswer: 22, 25, 21105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7388.98 + -7389. Which is the fourth smallest value? (a) 97 (b) -2\/19 (c) f (d) 1 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 225?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((1 + sqrt(117) + -1)*5)**2 - ((sqrt(1872) + 1)**2 + 3 + -5)).\nAnswer: -24*sqrt(13) + 1051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2241 and 134798142?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14558 by 1.\nAnswer: -14558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*f - 24 = f, -74*f = 4*q - 40*f - 36*f - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56\/57 - 6\/19. What is the closest to g in -3, 2, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-5)\/((-5)\/11). Let v be 4 + -5 + w + 2. Is -14 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -162. Let l = f + -59. List the prime factors of 1614\/10 - 14\/l.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**2. Let g be n(-5). Let h be ((-6)\/5)\/(15\/g). Suppose -222 = -2*v + b - 0*b, -2*b = 4*v - 452. Calculate the highest common factor of v and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -567, -872, -893, -630, -83, 748?\n\"Answer: 142*s**2 - 731*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**7\/7 + 19*c**6\/15 - 33*c**5\/10 + 3*c**4\/2 + 30*c + 2. Factor r(d).\nAnswer: -2*d**2*(d - 3)**2*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Let w(h) = 50*h**2 + 265 - 38*h**2 - 3*h**2 - 4*h**2. What is t(w(c))?\nAnswer: -25*c**4 - 2650*c**2 - 70225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/12)\/(1\/(-3)). Let m = 1 + k. Solve -4*u - a = u - 3, 0 = 3*u + a - m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 6*f + 6. Calculate the highest common factor of f and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h + 1. Let d be g(1). Let o be -6*(-606)\/24*(-2)\/(-3). Let r = 108 - o. Are r and d unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14 from -116.\nAnswer: -116.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + l - 26 = 0, -3*q + 3*l - 14 = 19. Let c(d) = -d**3 - 12*d**2 + 49*d + 36. Let h be c(q). Let t = -2 + -1. Put 0.1, t, h in decreasing order.\nAnswer: 0.1, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 13*x**2 + 11*x + 14. Let h be t(12). Let q = -2\/2703 + -58561\/5406. Find the common denominator of 362*h\/(-40) - 4\/10 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72365, 72344, 72323, 72302, 72281, 72260?\nAnswer: 72239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 471 + -473. Let m(o) be the third derivative of 0*o + 1\/60*o**5 + 1\/3*o**3 + 0 + 1\/24*o**4 + 2*o**2. Determine m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86260.\nAnswer: 2, 5, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.33 + -15.64. Let r = q - -19.3. Round r to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 15*i + 4*w - 16 = 0, -2*i - 4*w + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 14492?\nAnswer: 7246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, b: 6, l: 4}. Give prob of sequence bllz.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 11 + 2 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 617491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 - 2*u. Let q(j) = -2*j. Calculate q(b(g)).\nAnswer: 14*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + s**3 + 0*s**3)*(-355*s + 90*s - 302*s)*(-4 - 1 + 3)*(5*s - 5*s - 3*s).\nAnswer: -3402*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/124368 and -131\/24?\nAnswer: 124368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/8 of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -1\/720*u**6 - 5*u**2 + 0*u**5 + 0*u + 0 + 11\/24*u**4 + 0*u**3. Let i(v) be the second derivative of z(v). Determine i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -17, -22, -31, -44?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2 + 4*l**2 + 3*l**2. Let p(c) = 10*c**2. What is p(v(o))?\nAnswer: 40*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/t**(-2\/17))\/t*t))\/((t\/(t\/t**(7\/2)))\/t*t)*t\/(t*t*t**6)*t\/(t\/(t\/t**9*t)) assuming t is positive.\nAnswer: t**(-633\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 220?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 6\/4)\/((-1)\/2). What is the remainder when 32 is divided by 99\/36*(-4)\/j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-24))\/(1254\/304).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37305 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3398 - -4?\nAnswer: 33a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 1272, 1916, 2560, 3204?\nAnswer: 3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and 1\/(-3) + (-70)\/285?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110990 + 332971\/3. Factor -2\/3*r + 0 - 5\/3*r**2 - l*r**4 - 4\/3*r**3.\nAnswer: -r*(r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54\/13 - -656\/39. Find the common denominator of -9 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4019 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -0.930195?\nAnswer: 3.930195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 4*u - 2*u to the form t*u + n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374651838 and 137841?\nAnswer: 374651838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9485*h - 9460*h - 2 + 2.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = i, 4*u + 12 = -2*i - 2*i. What is the units digit of i\/20 - (1 + (-231)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n + 6*n. Let p be (2\/n)\/(1\/24). Let d be 7\/p + 1\/(-4). Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/88)\/((-61)\/(-488)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3)*81\/(-108)*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -67*o**6\/120 - 2*o**4\/3 + 83*o**2. What is the second derivative of c(l) wrt l?\nAnswer: -402*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010033604 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(28) - sqrt(7)) + (sqrt(30)\/sqrt(5))\/sqrt(3))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -707, -724, -747, -776, -811, -852?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 16*t + 11. Let z be u(15). Let l be (-100)\/(-30) - (-1 - z). Let j = -12 - -11.9. What is the closest to j in l, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359913459 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12*s**3 + 6*s**2 - 9 + 0*s**2 - 13*s**3 + 2*s. Let t be m(6). Put -3, t, -1\/5 in descending order.\nAnswer: t, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653890 is divided by 241262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 158, 354, 618, 944, 1326, 1758?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127989836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 9*r**2 - 39*r - 2. Let v be h(-11). Suppose -189*k + v*k + 76 = 0. Is 71\/4 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99634 is divided by 2633.\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -369 + 379. List the prime factors of 822*p\/105 - (-10)\/(-35).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbybvbyhyv. Give prob of sequence hb.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**3 + 2000 - 11*u**2 - 7*u**3 - 1987 + 10*u. Give r(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itittil. What is prob of picking 1 l and 2 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*k + 15 = 0, 365*d - 45 = 370*d - 5*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:06 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4937*p**2 + 41*p - 1308. Let c(k) = -4935*k**2 + 48*k - 1311. Let x(t) = 6*c(t) - 7*w(t). Differentiate x(r) wrt r.\nAnswer: 9898*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + w)*(5 - w**4 - 5) + (-4 + 2*w**3 + 4)*(-3*w**2 + 3*w - 3*w).\nAnswer: -7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5971?\nAnswer: 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2601310 - -56?\nAnswer: 2601366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 165379061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 3*y**2 + 4*y + 5. Let z be h(4). Let l = 1069 + -819. Suppose 0 = -z*u - 4*c + l, 2*c + 22 = u - 42. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 + 0*g**3 - 4*g**3 + (4 + g - 4)*(9*g**2 - 11*g**2 - 3*g**2) to b + c*g + s*g**2 + y*g**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8) + (-1 - 3) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 53653999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 31874 = -2*y, 7*g = -2*y + 9*g + 31868. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/280 and -131\/2380.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -55889a9?\nAnswer: -5588a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -d - 73, -10*d - 27 = 6*d - 13*d - 4*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -109 (b) -2 (c) 2\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16916, -33819, -50726, -67637?\nAnswer: -84552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1171*s**2 + 3 + 7140*s**2 - 2 + (s + 2*s - 2*s)*(-4*s + 5*s - 3*s) - 5*s**2 + 3*s**2 + 0*s**2.\nAnswer: 8307*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3633097, 3633082, 3633071, 3633064, 3633061?\nAnswer: 3633062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*s + 4*r, -2*r + 1 - 6 = -s. What is the nearest to 0 in 1\/4, s, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 6*z + 7. Determine f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {g: 5, j: 3, w: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -11\/2 (c) -0.09 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*((-7 + 3 + 3)*(1 - 5 + 5) + 1 - 1 + 2)*(-7 + 7 - 3*b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 44*q + 1340 = 439 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 81*v - 68. What are the prime factors of y(31)?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 2. Let k = 285 + -288. Determine w(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -419660 divided by -83932?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.896 - -5.8. Round f to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 64*q - 344. Let j be c(-5). Let g be (-8)\/(-52) - (-538)\/(-3666). Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i - 145. Let h be s(17). Let f be 2 + (-1 - -371 - -2). What is the units digit of f\/h - (-3)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 2*r**3 + 22)*(2 + 2 - 1)*(0*r + 2*r**2 + 0*r).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 716498.60938 - 0.3?\nAnswer: 716498.30938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 49*i + 275. Determine t(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/28)\/((-150)\/300)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00171666 rounded to five decimal places?\nAnswer: 0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n + 10. Let z be (-48)\/n + (-4)\/(-10). List the prime factors of (-26)\/4*z\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and -18400.\nAnswer: -791200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 6*z**2 - 2*z - 4. Let n be u(-6). Let v be (0 + (-2)\/4)*n. Let q be -7 - -6 - (2 - 8). Put q, v, 2 in descending order.\nAnswer: q, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867010199?\nAnswer: 3, 622336733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*13512\/72*(-2)\/2 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 22. Let p be 2\/(-7) + (-15)\/(-35)*17. Suppose f*u - 64 = p*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z = 3248 - 2653 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*f**2 + 47*f**2 + 384*f**2 - 1962*f + 1962*f + 497*f**2.\nAnswer: 1339*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 581, 239, -103, -445, -787?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -183, -433, -867, -1545, -2527, -3873?\n\"Answer: -10*f**3 - 2*f**2 - 50*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, 2.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 22*f**2 + 93*f + 244. Calculate the remainder when s(16) is divided by 155.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47769\/2 + -23394. Let q = 501 - d. Is 11 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.7298 tonnes in grams?\nAnswer: 81729800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25629104 is divided by 104?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 18*u + 8. What is w(-4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 1\/6*z**4 - 7*z + z**2 + 0 - 2\/3*z**3. Factor h(c).\nAnswer: 2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 440*l**3 - 553*l**2 + 3*l. Let f(j) = -881*j**3 + 1107*j**2 - 5*j. Let n(v) = 3*f(v) + 5*z(v). What is the third derivative of n(k) wrt k?\nAnswer: -2658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - y - 14 = 3*y, y = 4*g - 8. Suppose 0 = 3*x - 2*x + 5. Let j = -5 - x. Is j at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + -4 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38445 divided by 699\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/165*6)\/(((-112)\/245)\/(-16)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25712 - 25712. Let t(z) be the second derivative of -z**6\/720 + z**5\/24 + z**4\/6 + z. Let h(y) be the third derivative of t(y). Determine h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - 5 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-3 + 7 + -5 + -3 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -13.03, 59\/7 in decreasing order.\nAnswer: 59\/7, 4, -3, -13.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173220543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 60*x**2 + 62*x - 161. Give g(59).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - n + 5*n**2)*((-2*n + 0 + 0 - 2)*(1 + 1 + 3 + (2 - 6 + 1)*(-3 + 4 - 2)) - 9 + 9 - 2*n) to g + o*n + q*n**2 + r*n**3 and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30392 and 484962?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -240*x + 238*x - 4, 0 = -x - f - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, -1, -5, -9, -13, -17?\n\"Answer: -4*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8641896 and 1440316.\nAnswer: 8641896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + (79 - 64) - (1 + -16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*g**3 - 5 - 88*g**3 - 92 in the form t*g + m*g**3 + p + j*g**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-120)\/(-54) + 10292\/(-1116) - 12\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 3)*(-2 + 4*m + 2)*(-6*m + 2*m + 2*m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:11 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -13803 - 1518 - 87. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9338*n + 74708. Calculate d(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268 is divided by 632.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2171 times 2.15?\nAnswer: -0.466765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -152, -667, -1528, -2735, -4288, -6187?\n\"Answer: -173*t**2 + 4*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/(28\/(-105)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2. Let p(x) = 3*x - 3. Suppose 2*q + 0*q + 16 = 0. Let k(r) = -10*r + 8. Let f(v) = q*p(v) - 3*k(v). Give f(s(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15 and 26337198545?\nAnswer: 26337198560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 22. Suppose 0 = 7*t - 9*t - f. Let m = -12 - t. What is the closest to -3 in -0.4, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let o = 10 + 2. Suppose -4*j - 21 = -3*f - j, 4*j = -4. Solve f*d + o = s*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 3*u - 9. Let q(g) = g**2 - 4*g + 10. Let a(h) = -7*o(h) - 6*q(h). What is a(-2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1326519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -23143, 5 in descending order.\nAnswer: 5, -5, -23143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.84574 and 322.\nAnswer: 4458.32828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -24. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184835301?\nAnswer: 13, 91141177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + ((2*sqrt(85)*-5)\/((sqrt(40)*2)\/sqrt(8)) - (sqrt(170) + sqrt(170) + sqrt(170) + -2*(sqrt(170)*1 + sqrt(170)))\/(-1*sqrt(490)))))**2.\nAnswer: 2592*sqrt(17)\/7 + 794916\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 29 (b) 1 (c) 2\/17 (d) -0.7 (e) -0.4 (f) -8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-3)\/(15\/(-20)). Suppose d = -18*g + 22*g - 4. Is -3 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-153)\/(-12)*216\/324 and -59\/3700?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0*u**2 - 5*u**2 + 0*u**2 + 3*u**2. Let a(r) = -2*r**2. Calculate a(k(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421687 is divided by 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1293981275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -261*c**3 - c**2. Let q be v(-1). Suppose 0 = k + 4*k - q. Let t = -32 + k. What is the least common multiple of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 4*j - 18, -3*z = -7*j + 29. Solve -26*c = j*c + 196 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 307 = -22. Suppose -35 - 45 + 572*a**2 + 28*a**4 + 30 - 236*a - c - 51 - 244*a**3 = 0. Calculate a.\nAnswer: -2\/7, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 - 4*w + 3. Suppose -u + 3*u = -3*i + 94, -3*u = -5*i + 125. Let r be -9 - 7\/(i\/(-16)). Give j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + -5 + (2 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -14. Is (-2 + a)\/((-6)\/1830) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z - 13*z + 2 + 0 - 3. Let o be s(-7). What is the third derivative of -14*h**2 - 3 - 6*h**6 + 28*h**o + 3 wrt h?\nAnswer: 2640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 19*i**2 + 230*i + 236. Determine w(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h + 128. Let o be g(14). Suppose -u - t + 1468 = 0, 5*u + o*t = 2*u + 4409. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*m - 42*m + 2553. What are the prime factors of m?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*3)**2 - (sqrt(1900) - (0 + sqrt(1900)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17389*j**2 + j - j + 28104*j**2)*(-4*j + 2*j + 3*j).\nAnswer: 45493*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.315 - -1.315. Put 1\/13, 1\/5, x in descending order.\nAnswer: x, 1\/5, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3414\/420803?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-60) - (-10)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6872715kg?\nAnswer: 687271500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = 32 - 32 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292 - 293.4. Let p = -1.3 - x. Which is the nearest to -4? (a) p (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0453998 and 0.5.\nAnswer: 0.0226999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146.9 - -124.9. Suppose 7*g + 20 = -3*g. Let l = -0.04 + -2.96. Sort l, a, g, -2\/9 in decreasing order.\nAnswer: -2\/9, g, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-11 - 1) + (-6195)\/(-420))*20\/238 and -18\/17?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -989 times 15209?\nAnswer: -15041701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 10*o - 5. Determine z(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737 (base 9) in base 3?\nAnswer: 2211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrar when four letters picked without replacement from artxattt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16455*a**3 + 5346332 - 5346332.\nAnswer: -16455*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) 0.5 (c) -1 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 5408?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 + 18*w**2 - 9*w - 26. Determine z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 8. Let l be (-13)\/g + (-2)\/(-5). Suppose -l*p = v - 14, -7 = -p - 2. Let q(i) = 2*i**3 + 2*i**2 + i. What is q(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(-1*sqrt(132)*2 + sqrt(132)))\/(-6*sqrt(75) - sqrt(18)\/sqrt(6)*-3).\nAnswer: 16*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - 4*l + 0*l + (11 + 0 + 1)*(-l - 3*l + 2*l) - l + l - l + l + 6*l - 4*l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -87.09 + 0.3301487\nAnswer: -86.7598513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*c = -22921 - 1655 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1 - (1 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103908731.\nAnswer: 2347, 44273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 14*d + 6. Let t be m(12). Let s = t - -35. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let z be 1\/((-65)\/10) - 6\/(-39). Solve u*i + i = z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166\/10 - (17 + 8 + (-936)\/40).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 1202 + 47 = -31*m. Let s = -17 - 2. Let p = m + s. Solve 7*j - 6 = 3*j + 5*b, -p*b = -5*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 55 = -4*f + 17, -n + 24 = -5*f. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/(9\/24). What is the second derivative of u + 8*u**4 - 5*u**x + 0*u wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 6. What is k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 4.8.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 7, v: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0*d + 3*d = 10, 0 = d - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 649, 975, 1319, 1687, 2085?\nAnswer: 2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1128*h**2*p**2*z - h**2*p - 16*h**2*z + 2*h**2 - 15*h*p*z wrt p.\nAnswer: 2256*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qquqqkqkqqqbqu.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + 1*(-1)\/(-4). Suppose 5*l = -3*v + 25, -5*l + p*v - 2*v = -20. Let z(j) = -l + 1 + 1 + 2*j + 2. What is z(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -32. Suppose 4*a - 2*l - 4 = -18, 5*a - 4*l + 19 = 0. Find the common denominator of a and (-2)\/(-3)*c\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 11423?\nAnswer: -11424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - (1 - 3)) + -3 + 0. Let y(h) = 5*h**2 + 8*h + 10. Is y(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a + 112 = 0. Suppose 5*t - 219 = -0*t + 4*m, 2*m - 8 = 0. Let w = t - a. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/(-12))\/((-2)\/(-8)). Let j be (272\/6)\/(3\/m). Suppose -j = -5*b + n + 8, -96 = -4*b - 4*n. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 10. Let f(c) = 1. Let k(p) = 6*f(p) - u(p). Let a be 19\/7 + 2\/7. What is k(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1406398009*q**4 - 39691206*q**2?\nAnswer: 33753552216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 5:45 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 11 (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3))**(-4\/13)*(v**(-2\/11))**(-1\/40))**(20\/3))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d*d*d**(-7)*d)))*d**24)**42)**(-47) assuming d is positive.\nAnswer: d**(-57246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*i = 0. Solve -4*r + 0*r - 4 = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6143.3532ms in hours?\nAnswer: 0.001706487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4 - 144*n**3 - 324*n**2 + 736*n + 912 = 0.\nAnswer: -3, -1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002780553 to six decimal places.\nAnswer: 0.000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -531 + 6201 + 4701 + 4*d**2 + 384*d - 1155.\nAnswer: 4*(d + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3991\/(-7982))\/(2*1\/(-148)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a1c + -128ab7?\nAnswer: -128098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 14*h - 30. Calculate the lowest common multiple of x(-9) and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13976026 rounded to three dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = 0, -4 - 7 = -4*s - o. Let g = -74 + 78. What is the remainder when g is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (17 - 0 - (-178 + 185) - 23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1135323 to the nearest ten thousand.\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000117401 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ee4 (base 16) to base 13.\nAnswer: 37a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17.4. Suppose -j + 1 = -2*j. Let l = 7352 - 7349. What is the nearest to j in l, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3024540*f + 4. Let q be z(6). Suppose 10326111 = 2*d + 27020599. Let u = q + d. Round u to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2107 and 1813.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 - 3*x - 13. Calculate z(4).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 - 2*p**2 + 13*p - 13*p in the form z*p**2 + t*p + l + v*p**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t)\/(t*t\/t**2)*(t**0)**(-1\/46))\/((t*t**(1\/2))**(-5)\/((t**(-5)\/t)\/(t\/t**(-2)))) assuming t is positive.\nAnswer: t**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*z = -14, -4*z + 66 = -4*q - 2*z. Let g be (-4)\/(-6) + q\/30. Which is the nearest to -0.2? (a) -3 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 = -33*c + 5*v, -24*c + v = -25*c - 12 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, 20, 4.\nAnswer: -12, 1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 4*d**3 - 574*d**2 + 4*d + 574*d**2 + 1 to f*d**4 + q + j*d**3 + n*d**2 + t*d and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1))\/(1\/(-27)). Let i = y - -78. Let h be -10*3\/(-5)*7. What is the greatest common divisor of h and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33618 is divided by 87.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8354581687.\nAnswer: 1031, 1583, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:21 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 96598729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2 + 2*y + 5*y - 3*y - 6*y. Calculate i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -0.8, -3, -1, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 566468964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0 - 37*n**2 + 0*n - 25\/6*n**3 + 1\/4*n**4. Is z(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a35 - 22?\nAnswer: 1a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*2\/(-6))\/(5\/(-15)). Suppose 2*c = y - 152, -k*y + 732 = -0*y - 3*c. What is the highest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 21. Let g be (-5)\/1*k\/(-10). Let y be g\/(3 + -5) + -2. Solve -3*p - p = y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -5. Suppose 2*p = 7*p + 25, p - m = -2*y. Suppose -36 = y*q - 8*q. Calculate the remainder when 45 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 6*y - 2. Suppose n + 5*d + 18 = 0, 2*n + 3*d = 2*d + 9. Calculate the remainder when 13 is divided by s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-783)\/435)\/(1\/(-5)). Let u(x) = 9*x - 72. Determine u(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91401, 91394, 91383, 91368?\n\"Answer: -2*b**2 - b + 91404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14474, 224.\nAnswer: -14474, 0, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c - 15 = -g, 0 = 3*g + 2*c - 1. Solve 5*j = v + 27, -g*v + 3*j - 16 = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, r: 3, i: 2, d: 3, a: 4, w: 1}. What is prob of sequence dhh?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118528 + 191528. What is d rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 4*b**2 - 2915701 - 17*b**2 + 2915697 - 3*b**2 in the form h*b**2 + s + r*b and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1 + 1 - x. Let c be v(-4). What is the greatest common divisor of c and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.006\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 12:13 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199850 - 37634 = 18*i. Calculate the remainder when i is divided by 311.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.315 + 0.315. Let z = -33 - -227\/7. What is the third biggest value in 0.1, z, b, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 23. Let k be h(12). Let l(p) be the first derivative of 0*p**2 + 2\/3*p**3 + 0*p**4 - p + k - 1\/5*p**5. Factor l(n).\nAnswer: -(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 691\/9. Which is the smallest value? (a) d (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 26*o + 14*o - 55*o + 17*o. Let w(b) = -96*b**2 + 11*b. Let u(z) = -5*z**2 + 4*z**2 + 20*z**2 - 2*z. Let m(i) = 11*u(i) + 2*w(i). What is j(m(r))?\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -467179 smaller than -467178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 6*q + 3. Let y be u(6). Suppose d + 7 = y. Which is the second smallest value? (a) -1 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from yynaffyffmn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 1, -488, -30 in increasing order.\nAnswer: -488, -30, -9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2. Let o(q) = 14*q**2 + 1. What is y(o(c))?\nAnswer: 784*c**4 + 112*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, -0.56, -0.1811, 6, 2\/11?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 6. Let k = -12 + 15. Let r(x) = x + 3*x - k*x + 11 + x. Give 7*j(b) - 4*r(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*o + 2 + 3*o - 3*o + o + (-1 - 2 + 1)*(5*o - 3*o - 3*o) - 6*o + 0 + 0 + 2*o + 3*o - 6*o to the form l*o + i and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.7. Let y = -22035 + 22034. What is the closest to 1\/9 in -3, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(2*sqrt(8)) + -3*sqrt(44)*-1.\nAnswer: 25*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6798006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*k - 3. Suppose 5 + k = 6*t. Suppose 5*s - g = -0*g + 55, -2*g - 30 = -2*s. Calculate the least common multiple of t and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**8\/1176 - x**6\/140 - x**5\/105 + 6*x**2. What is i in y(i) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1265 and 10\/161161.\nAnswer: 805805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 2*j - 2*j**2)*(14 + 50 + 0)*(3*j + 2*j + 5*j) in the form m + i*j + b*j**3 + f*j**2 and give b.\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 7. Let z(c) = -7*c - 14. Let k(i) = -5*j(i) - 2*z(i). Let u be k(-7). Solve p - 4*p - 3 = u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*s - 4*s + 5*s)*(2 - 1 + 1) - 2*s - 3*s + 3*s)*(73*s - 9*s**2 - 73*s).\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let h(q) = 2*q**2 + q + 104. Determine g(h(y)).\nAnswer: -4*y**2 - 2*y - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -569 + 1357. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2241 = 1641*q - 600. Let a be (6\/5)\/((-1)\/10). Let y be (-6)\/70*a\/9. Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.890155 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j. Let v(a) = -3*a. Calculate 11*v(g) + 4*z(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7840 + 7840. Which is bigger: i or -31\/197?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = -605. Let c = g - -169. Suppose 0 = 5*l - 2 - c. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 103*d - 4. Let o(q) = 23896*q - 927. Calculate -927*k(t) + 4*o(t).\nAnswer: 103*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1941642, -3882780, -5823916, -7765050, -9706182?\nAnswer: -11647312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12317 is divided by 4087?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078.3 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136431980689*u**2\/4 + 5540505*u + 225.\nAnswer: (369367*u + 30)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -255.27974 - -255.68. Let a = k - 0.4. What is a rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k\/(k\/k**(1\/4)))**49 assuming k is positive.\nAnswer: k**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3277761242 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b - 42. Is 375 + (b - -2)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553793 greater than 482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -957*m - 128. Is 17 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -460 + 1001. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8966, -15215, -21468, -27725?\nAnswer: -33986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5617921 + 2382081 = 0. Let h be 5\/20 + y\/(-8). What is h rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003610315 to 7 decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057002174 to the power of 1\/2, to the nearest integer?\nAnswer: 32512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 39c57?\nAnswer: -39c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -13*q + 248 + 83 - 90, -4*q + 0*w = w - 78 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 15145*c**2 + 11*c + 1. Is l(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b29 (base 15) in base 13?\nAnswer: 8a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12721078787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*f - 4*z - 216, 3*f + 5*z = 141. Let o = f - 72. Let i = o - -42. Calculate the remainder when 34 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141*-46*(-9)\/1242*(-1)\/(-1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*w**3 - 166*w**2?\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -445213 and -0.031089.\nAnswer: -445213.031089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.350825 litres to millilitres.\nAnswer: 350.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -3, 2, -2 in increasing order.\nAnswer: -3, -2, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-2)*(-4)\/6. Let y be -4 + (-42)\/18 + 5. Sort y, -0.2, l in descending order.\nAnswer: -0.2, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210222 (base 3) to base 9\nAnswer: -728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 356 + -355. Which is the nearest to s? (a) 2\/15 (b) -3\/29 (c) 0.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6 + 1)*-12. Let z(w) = -11*w**2 - 5*w**2 + 15*w**2 - 6*w + 2 - v. Suppose -3*n = -0*n + 15. Calculate z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79642 is divided by 19908.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((1*sqrt(153))**2 + 0 - (sqrt(153) - 2*(-1 + sqrt(153))) - (-1*(1 + sqrt(153)) - -3*((sqrt(153)*2)**2 - sqrt(153)))) + 3).\nAnswer: -8405 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.740728mg to kilograms.\nAnswer: 0.000000740728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608275 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2. Let x be t(-2). Suppose -g - 4 = -x. Calculate the remainder when 248\/18 - (-18)\/81 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*u + 115 = -7*u, u - 215 = -3*o. Suppose -9*s = 6*s + 315. Let v = o + s. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-27)*18\/4. Let x = 2 - w. Sort -3, -1, x in descending order.\nAnswer: -1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18370, -36737, -55104, -73471, -91838?\n\"Answer: -18367*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022662 is divided by 113601.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12130 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 382*z**2. Let p(i) = -3*i. Calculate p(a(u)).\nAnswer: -1146*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5cb + -4f800?\nAnswer: -4fdcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 19 - 18 - 27 + 1545*b.\nAnswer: 1545*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-31\nAnswer: -43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 23*b**2 + 45 to the form s + m*b + l*b**2 and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**3 + 5*v**2 + 9*v. Let m(y) = -y**2 + 4*y - 3. Let z(j) = j**3 + 4*j - 2. Let s(d) = -2*m(d) + 3*z(d). What is 4*p(w) - 9*s(w)?\nAnswer: w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (3 - -2)) + -2 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298 + 148 - a - 324*a**3 + 149 to the form o*a + u*a**3 + y*a**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - -79. Calculate the highest common factor of r and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7*k**3 - 864\/7*k + 1\/7*k**4 + 1296\/7 + 216\/7*k**2.\nAnswer: (k - 6)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552605203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*v = -42*v + 214*v - 5118204. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -47c4?\nAnswer: -47c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -432, -4 in decreasing order.\nAnswer: -4, -25, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x - 1. Let u be -2*(1 + 1) - 0. Let t(a) = 4*a. What is u*d(f) + 6*t(f)?\nAnswer: -4*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 385.9691 + 0.0309. Let h = 381 - y. What is the nearest to 6 in -3, h, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 22*z - 10410 = 0. What is q in 222*q + 3165 + 3*q**2 + z - 1140 = 0?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 10 - 24) + 34 + -1\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -54. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325710.5 years to centuries.\nAnswer: 3257.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622864 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and -4159.\nAnswer: -707.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n - 5. Suppose 4*w = 43*w + 195. Let q be n\/(-3) - (2 + w). Solve 4*m = -f - 21, 3*m - q*m - 3*f = 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 39, 67, 105, 153, 211, 279?\n\"Answer: 5*a**2 + 3*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/62, 0.1, -40.33, -1\/8 in descending order.\nAnswer: 0.1, -3\/62, -1\/8, -0.5, -40.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -269, -271, -273?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 80. Suppose 2*g + 4*l + 6 = m, -4*g - l = -3*l + 12. Sort -11, g, 3 in descending order.\nAnswer: 3, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 + 8 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-996)\/2490*(-1)\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -43. What is the tens digit of 4094\/c - (36\/(-44) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -537, -1278, -2335, -3708?\nAnswer: -5397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 4*d**2 + 2*d + 6. Let g be (-24)\/(-40) + (-22)\/(-5). Let p be t(g). Is ((-382)\/6)\/(3\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -8324829.\nAnswer: 1\/2774943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 57*g + 66 + (-51*g - 7*g - 58*g)*(2 - 3 + 3))*(2*g**2 + 2*g**3 - 2*g**2).\nAnswer: -350*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/(232\/96 - 2). Which is the closest to -2? (a) q (b) -0.5 (c) -0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7910 is divided by 1344?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109580.1g to nanograms.\nAnswer: 109580100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.7 - 18.7. Let t = 2 + -2.5. Let r = -0.8 - t. What is the nearest to 0 in z, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/79 (b) 5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 3*o - 6*o**2 + 9*o**2 + 6*o.\nAnswer: 3*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3612 + 3613. Which is smaller: -2\/75 or h?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/2)\/(-4) - (-24)\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 112*z + 1420. Give o(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 5*t - 5. Let h(v) be the second derivative of -v**4\/12 + v**3\/6 - v**2\/2 + 16*v. Determine 5*h(k) - i(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3104434224 (base 5) to base 4.\nAnswer: 120020302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14746\/729 - -4\/729. Which is smaller: l or -20?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3 = i + p, 2*i = -2*p - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/(-9))\/(70\/60). Let w be (-1 + q)*-2*70\/(-60). Solve 4*m - w - 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 4992*y + 3174518. What is f(-748)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.221, 0.02, -6\/173?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Find the second derivative of -y + y**3 + 0 - z + 3 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756 less than 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 23*x**2 + 0 - 86*x**2 - 2.\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 2*p**2 - 2*p + 2. Let l be u(3). Suppose l*o - 5934 = -1159. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 12. Let h = -24 - -17. Let j be q(h). Suppose 5*b + 0*b = -2*w + 45, j*w - 104 = -4*b. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 271*m**2 + 5*m + 8. Let l be j(6). Let b = -14294 + l. Round b to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 615 = -198*w + 11865. What is the highest common divisor of w and 6149?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*v**3 - 1319*v - 44283 wrt v?\nAnswer: -6*v**2 - 1319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71977364?\nAnswer: 2, 17994341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 96.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -69*k - 420. Determine g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8047 - -7961 - (-66 + 2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -3, -56.991612?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-60)\/(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7167447 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 252*o - 232. Is z(13) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/20)\/((-4)\/(-20)). Let l = 9 + a. Sort 2, -2, l in descending order.\nAnswer: 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -29\/6, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6504*x**2 + 3247*x**2 + 3258*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165888102 by -33834.\nAnswer: -4903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, y: 3, r: 3}. What is prob of picking 2 y and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13052001 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201*u**4 - 457*u wrt u?\nAnswer: 2412*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2369, -0.4.\nAnswer: -4, -0.4, 2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j**3 - 6*j**2 + 11*j + 0*j**2 - 4*j**2 + 10*j**3 + 0*j. Calculate s(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 - h**4 - 8 + 3 - h**2 to the form q*h**2 + c + k*h**4 + i*h + m*h**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**3\/3 + 20*s + 16. What are the prime factors of z(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -965 (base 10) in base 5?\nAnswer: -12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 12:05 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43281 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -4 (c) 7\/2 (d) 3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o**3)\/(o**(-2))**(-32) assuming o is positive.\nAnswer: o**(-302\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 8*k = -45 + 113. Let g(a) = -5*a**2 - 2*a + 6. Give g(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d - 12*d - 4*d**2 - 6*d + 34*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p + 1. Let l(m) = -3*m**2 - m**3 + 72*m - 7 - 141*m + 66*m. Determine -3*f(u) - l(u).\nAnswer: u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 + 1.5. Let b = s + -4. Let r = 0.3 - b. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1\/29 (c) 0 (d) 3 (e) -0.6 (f) -160 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011000 - 11110001?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058260625 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5 = 4*f, -17*l = -2*f - 14*l - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 333*b - 6097. What is i(18)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1676823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 2796234*k + 651577048563.\nAnswer: 3*(k + 466039)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 400 + -188. Let f = i + -211.99999903. What is f rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 divided by 123?\nAnswer: 595\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28917 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51114 divided by 14.\nAnswer: 3651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*s + 8 = 0, 0*f - 16 = -4*f + 4*s. Let i = f - -5. Suppose i*x - 1059 = j, -4*x + 3*j + j = -860. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 8. Let l be q(-8). Suppose u + o - 10 = -l*o, -3*o = 15. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 23425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2645943628 to the nearest integer?\nAnswer: 51439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j*j*j)**(-25)*(j**4\/j*j)\/j**(-2\/7)*(j**(-8)\/(j\/j**1))\/(j\/(j*j**9)*j**(-1\/5)) assuming j is positive.\nAnswer: j**(-1558\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 19 = 7. Let o(q) be the third derivative of q**5\/60 - q**4\/12 - q**3\/3 + q**2. Let c be o(g). What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 3*n + 52, 4*x - 5*n = 3*x - x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10496\/(-400) + 240\/1000?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose -z*o + 113 = 35. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o**5\/5 + o**4\/4 - 4*o + 11. Let h(z) be the first derivative of a(z). What is the third derivative of h(v) wrt v?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3442 (base 7) to base 2\nAnswer: 10011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 2112101120?\nAnswer: -2112101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) -5 (c) 1\/2116 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 2*o. What is n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*l - 41 = 0, -3*d - 10*l + 144 = -5*l. Calculate the remainder when 854 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 31. Suppose -370 + 1020 = j*t. What are the prime factors of t?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -0.283 (c) 0.02 (d) 5 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 17*p - 72. Let h(u) = -u**2 + 17*u - 71. Let o(s) = -3*h(s) + 2*q(s). Let c be o(6). Let z(t) = -2*t**3 + 3*t**2 + t + 4. Determine z(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(-2\/21))*g)*g**(-10)*g)\/((g*g\/(g**(-1\/8)*g*g)*g)\/((g**28*g)\/g)))**11 assuming g is positive.\nAnswer: g**(32857\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 118795 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 458904209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - z + 1. Let k(m) = m**3 - 4*m**2 - 4*m + 6. Let f(h) = 4*d(h) - k(h). Give f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 188.2. Is -1 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 40*a**2 + 30*a + 17. Let v be n(21). Let s = 250 + v. Solve -6*c + s = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than or equal to 141\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f - 21. Let u(n) = 3*n + 10. Determine -6*j(q) - 11*u(q).\nAnswer: -3*q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, 0 in increasing order.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249.9743 + -0.0257. Let p = f - -236. Let d = 29\/12 - 11\/4. Do p and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1010205 and 9\/370.\nAnswer: 74755170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + y + 8 = -29, 20 = r + 4*y. Let n(k) = k**3 - 4*k**2 - 22*k + 12. Let s be n(7). Solve s*j + 3 = r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 207*r + 50 = 103*r + 99*r, 4*p = -r - 44 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 1, p: 2, j: 4, g: 1}. Give prob of sequence sjsg.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(2*-2)\/2. Let l(i) = -i**3 - i**2 + 4*i - 4. Let a be l(-3). Solve -a*s + 2*o = -4, s + 2*o = p*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*h + 22, h - 52 = -7*w + 4*w. Suppose 3*g - w = -q, 3*q - 9 = -g + 10. Solve 0 = 5*o - 11 - g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p = 5*b + 385, b + p + 77 = 0. Let q = b + 224. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -67?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35366198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 5*o - 7. Let v be c(-6). Let q(s) = -11*s**2 - 2*s - 1. Let r be q(v). Is 17 a factor of (68\/r)\/((-1)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 18*s - 5. Let r(g) = -18*g + 6. Determine -5*c(j) - 4*r(j).\nAnswer: -18*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10526050 (base 8) to base 3\nAnswer: -11021110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26688\/2288 + -12 + 4\/22?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22673662 or -22673661?\nAnswer: -22673662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 266.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002020121211 + 22?\nAnswer: 1002020122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, 2\/15, 1.2, 5478?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3\/6 - 4*j**2 + j - 6. Let i(m) be the first derivative of h(m). Let l be i(6). Sort l, 0.2, 0.3.\nAnswer: l, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(-8*c + 0*c + 6*c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 5927 + 742. Let u = g + -705. Calculate the highest common divisor of 276 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 605 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 9*w - 3. Suppose 17 - 57 = -5*v. Let o be a(v). Put o, -2, 1 in increasing order.\nAnswer: -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 889 and 7029323.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1447\/4 + 15979\/44. Find the common denominator of (-10925)\/5016 - (-1)\/24 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 30*a**2 - 19*a - 5. Let q(s) = -45*s**2 + 29*s + 7. Let z(n) = 5*q(n) + 7*y(n). Find the second derivative of z(t) wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 4*y**2 + 6*y - 7. Let f(v) = v**3 - 3*v**2 + 4*v - 5. Determine -7*f(w) + 5*n(w).\nAnswer: 3*w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/(h\/(h\/(h*(h\/h**(-1))\/h))))**(-46)*(h*h*h\/(h**4\/h)*h*h*h**(3\/8)\/h)\/(h**(-1\/4)\/h**(5\/2)) assuming h is positive.\nAnswer: h**(769\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -58*x**2 - 753*x + 15. Let t be b(-13). Let s = 299\/4 + -74. Factor -5\/4*r**3 - 1\/2*r**4 + 1\/4*r + 1\/4 - s*r**t.\nAnswer: -(r + 1)**3*(2*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1853, -1852, -1851?\n\"Answer: y - 1854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/6))\/(((i\/i**(2\/15))\/i*i)\/i)*((i\/i**(2\/3))\/i)**(-12\/11) assuming i is positive.\nAnswer: i**(223\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.3, -0.03 in decreasing order.\nAnswer: 11, 0.3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -5*d**7\/14 + 28*d**6\/15 - 4*d**5 + 9*d**4\/2 - 17*d**3\/6 + d**2 + 5*d. Determine s so that i(s) = 0.\nAnswer: 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2359, 4784, 7205, 9622, 12035?\nAnswer: 14444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16875280 rounded to the nearest 10000?\nAnswer: -16880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0614 - -674.9386. Let c = 689.45 - s. Let j = c - 14. What is j rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from xnxnxxxnnn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/30 - 5*g**4\/12 + g**3\/6 + 2*g**2. Calculate the remainder when -25*(-18)\/(-90) + 89 is divided by h(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 33. Calculate the lowest common multiple of z and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34926 and 308436.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:18 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.53713km in meters?\nAnswer: 50537.13","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*30\/(-27)*180\/1050)\/(12\/(-126)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1817797 divided by -1817797?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f - 3*f - 2*y - 19 - 16, 85 = -5*f + 2*y for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45466104 (base 7) in base 2?\nAnswer: 1111001000010011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14317, -14393, -14469?\n\"Answer: -76*d - 14241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -10*x + 9*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from zwwuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23344232 - 114?\nAnswer: -23344401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 768 + -768.49. Let c = 619.5264 - 620. Let q = c - h. Round q to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-2) + (6\/3 - -8). Suppose v = 2*r - 4. Which is the second biggest value? (a) 2 (b) 1\/7 (c) r (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181\/35 + 23\/5. Let l = 2.192 - 0.192. Which is the biggest value? (a) -3 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0145 in -3, 5\/3, -3335?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:44 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 365 in ascending order.\nAnswer: 3, 4, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 201 and 5619.\nAnswer: 376473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46958, 186863, 420038, 746483?\nAnswer: 1166198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 6*l**2 - 7*l + 4. Let r(x) = -x**3 + x**2. Let q(z) = -i(z) + 2*r(z). Let u be -2*(-3)\/(-6)*7. Let c be q(u). Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -3 (b) -0.4 (c) 5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let n(j) = 3*j**3 - 17*j + 47. Let u(o) = o**3 - 6*o + 16. Let y(w) = 6*n(w) - 17*u(w). Let x(p) be the first derivative of y(p). Give h(x(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a - 8. Let n(i) = -13*i + 8. Let r(k) = -8*n(k) - 7*o(k). Determine r(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 7*g - 6*g, 3*k + 4*g + 13 = 0. Sort -4, 5, k, 12 in increasing order.\nAnswer: -4, k, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c - 92. Let t be x(-11). Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -25. Solve 4*k - 14 = 5*w - 10*w, 5*k + w - 7 = s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10620 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27443112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 219240 and 219240.\nAnswer: 219240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 39.3. Let l = c + 4. Sort -2, l, -3 in descending order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*s = 10, -3 = -5*v - 2*s - 1. Solve 17 - v = 4*y + x, 5*x - 21 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 - 25628*y**4 + 164198595*y**3 + 25628*y**2 - 164198596*y = 0. Calculate y.\nAnswer: -1, 0, 1, 12814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, -3*m = -5*y - m + 5. Let p be y\/(-1)*6\/(-2). Let j(o) = 2*o + 2. Let a be j(1). Solve 6*u - 2*u = -3*r - 9, -p*u - 13 = -a*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4491080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 45 + 697. Is p\/(-12) - 7\/(-42) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/2 + 4*f**3\/3 + f**2 - 2*f + 11. Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/105 + 46\/105. Let j be (6\/10)\/((-2)\/(-10)). Which is the smallest value? (a) q (b) j (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*w**5 + 2*w**5 - 6*w**5 + (5 - 3 - 1)*(4*w**5 + 0*w**5 - 3*w**5).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16.8 and -386499918310.\nAnswer: -386499918293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 200. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4\/7*v + 3\/7*v**3 + 0*v**2 - 1\/7*v**4 = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4563 = 2079*c - 24831 - 16137 - 3096 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*o - 984 = 9195 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d862 (base 14) to base 16.\nAnswer: -253fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 + 4*n**2 + 79*n + 4. Let t(c) = 5*c**3 + 3*c**2 + 79*c + 3. Give -3*i(q) + 4*t(q).\nAnswer: 2*q**3 + 79*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b + 2*b = 45960. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -4 (c) 5 (d) -249875 (e) 264\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 188\/(-28) + (-4)\/14. Suppose -5*g = 97 - 72. Put 3, y, g in ascending order.\nAnswer: y, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-12 + 4 - (-21 - -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 24*q**3 + 12*q**2 - 40*q.\nAnswer: 4*q*(q - 1)*(q + 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 2. Let p(u) = -3*u + 1. Suppose -d - 1 = -2*d, 59 = -5*j + 4*d. What is j*p(l) + 6*g(l)?\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1760.\nAnswer: -1\/1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -16*l - 9*l + 16*l - 10*l. Let p(j) = 2*j**2. What is i(p(d))?\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 130 = -10*w. Let d = -17 - w. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 10*p**2 + 2*p - 44. What are the prime factors of l(-15)?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12\/5303?\nAnswer: -12\/5303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 - 5*u**3 + u**3 - u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/2 - 447*o\/2 - 441.\nAnswer: -3*(o + 2)*(o + 147)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1164273.5 and -4.\nAnswer: 4657094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139.1 + -139.2. Which is the nearest to -1? (a) n (b) -2 (c) -0.01 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*f**2*k*z**2 - 8*f**2 + 3*f + k*z**2 + 2*k wrt z.\nAnswer: 146*f**2*k*z + 2*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 1\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544099619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 546716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-2 + -1657 + 1698.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31065373.\nAnswer: 1087, 28579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*21351.\nAnswer: 4270.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.849 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = -4*g - 440. Suppose 0 = -4*z - z - g. What is the tens digit of -3 - (-4 + 2 + z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 6*y + 4. Let d(h) = -7*h**2 + 12*h - 7. Let q(u) = -5*a(u) - 3*d(u). Calculate q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 12, 2*n + 3*n - 86 = -2*k. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15787886, 15787887, 15787888, 15787889?\n\"Answer: c + 15787885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35256, -281659, -950392, -2252619, -4399504?\n\"Answer: -35194*b**3 - b**2 - 42*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3366 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/209 and -47\/33.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -39. Suppose 0 = -3*s + c*s - 2. Solve -3*d - p = s*p, -3*d - p = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/25*-4*10\/(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0434 - 0.0434000031. What is l rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*n - 3*n - 4, 3*z + 3*n = 0. Suppose -8 = -2*a - z. Suppose -177 = 5*j + r + 110, a*j - 3*r + 125 = 0. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(225) - 2*sqrt(225)) + -5)**2.\nAnswer: 2*sqrt(17) + 642\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -66)\/(10\/(-4))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66089456 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 21*d**2. Let h(l) = 9*l**2 - 314. Give h(c(a)).\nAnswer: 3969*a**4 - 314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 + 9*a**2 - 9*a - 9. Let d(w) be the first derivative of w**4\/2 + 5*w**3\/3 - 5*w**2\/2 - 5*w - 3. Determine -9*d(m) + 5*i(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 271.182?\nAnswer: 3525.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-600)\/(-152) + 345\/57 + -6. Let y(x) = -x**3 + 4*x**2 - 3*x + 3. Let t(u) = u**2 - 2*u. Let i be t(3). Let c be y(i). Solve d*r - c*r = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqgqgku. What is prob of picking 2 g, 1 u, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 114 + 34 = -4*s, -q = -5. Solve -3*d = 2*k + 16, 0 = 4*k - 0*k - 5*d + s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 1967*f + 8*f**3 - 1967*f.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14278803 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-3)\/(-2))*(-327 - -20). Suppose -3*p - b = -5*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 44362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 4*k + 3. Suppose -2*w + 11 + 9 = 4*l, 1 = -l + w. Let c be a(l). What is the second biggest value in 0.4, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*19\/570*(8 - 1036\/119).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*2*(sqrt(228)*3 + sqrt(228)))\/((-4*sqrt(24)\/sqrt(2) + sqrt(12) - (sqrt(60)\/sqrt(5) - sqrt(12))*1)*-2).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.546 + -0.786. Let q = n - 3.92. Which is the nearest to -2? (a) q (b) -0.4 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17116 - 21*a**2 - 5*a + 5*a + 17118.\nAnswer: -21*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*l + 33. Suppose l*d = 341 + 30. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + u - 2. Let i = 31 + -33. Let t be k(i). Solve p = -t*s + 20, -5*s + 4*p = -17 - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 9. Solve 15 = 2*f + b, 0*b = 2*f + x*b - 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a - 156. Let p = -83 - a. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 4:22 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50212 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 122501*m - 4. Let a(f) = f + 2. Let g be a(2). Let s be d(g). Round s to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 8*h + 2*h)*(h**3 - h**3 + h**3 + (-2 + 2 - h)*(h - 3*h**2 - h) - h**2 - h**3 + h**2 + 22*h**3 + 11*h**3 - 7*h**3).\nAnswer: -116*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*i = 446*i - 80. What is the remainder when -1*(-23 + 0 + 2) is divided by i\/6*(1 - 12\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 229 or 217?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 2*a - 7. Let d = -281 + 288. Let p be (((-4)\/8)\/(-1))\/(d\/(-84)). Give u(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) - (sqrt(19) - sqrt(76)\/sqrt(4)))**2*1 + sqrt(152)\/(sqrt(40)\/(-2*sqrt(5))).\nAnswer: -2*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81920 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 4, f: 3, e: 1, j: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97512 by -247.\nAnswer: 97512\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -1098.\nAnswer: -28\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1680*k*o*u**2 + 38*k*o - k*u**2 + 455*k + 10*u**2 wrt o.\nAnswer: 1680*k*u**2 + 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h + 9 = 0. Suppose -n - 2*n + h*g = -3, 0 = 2*g + 2. Solve -2*o - 4*x + x = n, 3*o - 4*x = 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*s - 1411806 = 127*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:35 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)*(30\/4 - 8). Factor u - 8\/15*n**2 - 2\/15*n**3 + 0*n.\nAnswer: -2*n**2*(n + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (30 - (0 - -36))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6\/(-162)*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13448 and 5729873?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b + 1. Let l be h(2). Let w(f) = -5*f**2 - 1. Let y(v) = 16*v**2 + 4. Let o(s) = l*w(s) - 2*y(s). What is the first derivative of o(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/3 - 37\/6. Which is the third smallest value? (a) 1 (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22111111 (base 3) to base 12.\nAnswer: -3704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 69465.65g?\nAnswer: 69465650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/7, 34, -5, -0.332?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**10*l)\/l)\/(l**6\/l))\/(l**(-2)*(l\/(l\/((l**9*l)\/l)))\/l) assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 17*d**7\/42 + 17*d**3\/6 - 19*d. What is the second derivative of h(a) wrt a?\nAnswer: 340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n + 3. Let c(i) = -9*i + 4. Let o(t) = -3*c(t) + 4*j(t). Let m(x) = -239*x. What is m(o(q))?\nAnswer: 239*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19*l - 4. What is o(5)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {a: 1, y: 8, j: 1, g: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)*a*a**32*a**29\/(a*a\/a**24*a) assuming a is positive.\nAnswer: a**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -280, -578, -876?\n\"Answer: -298*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1768 by 221.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(475) + 4 + -3 - (sqrt(95) + (sqrt(95) - 2*sqrt(95)*-2))\/(sqrt(5) + (5*sqrt(45) - sqrt(5) - sqrt(5)))) + 0)**2.\nAnswer: 128*sqrt(19)\/7 + 19652\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1300*x - 114512 = -2142*x for x.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1251, -4942, -11095, -19710, -30787?\n\"Answer: -1231*j**2 + 2*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28275 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 - 430*w**3 + 8346*w**2 + 28078*w + 19300 = 0. Calculate w.\nAnswer: -2, -1, 25, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 0 - sqrt(192))**2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3857, 4, 1\/12?\nAnswer: -0.3857","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3139 - (-18)\/48*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010000 (base 2) in base 10?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1051*i - 34. What is the thousands digit of v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2 + sqrt(228))*-6)\/(sqrt(300)*-3).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42 + 2.48. Let t = -2.8999989 + q. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-15 - 3) - 228\/(-504). Which is the fourth smallest value? (a) 1\/4 (b) 3 (c) -2\/13 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(91\/52)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*w**2 + 5*m**2*w - 17*m**2 + 14*m*w**2 - w wrt w.\nAnswer: -2*m**2 + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 5690.\nAnswer: -2\/2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**2 + 8*r + 8. Suppose h + 38 = -3*w + 10, 5*h + 28 = -w. Let z(u) = 3*u**2 + 3*u + 3. Determine w*z(f) + 3*c(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1616 > -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3229968 to the nearest 10000.\nAnswer: 3230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 16*g - 11 + 10.\nAnswer: 16*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 z when three letters picked without replacement from {j: 4, p: 1, q: 4, d: 5, z: 4, l: 1}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 - 5*q**2 + 6*q + 8. Let d(w) = 4*w**3 + 5*w**2 - 6*w - 8. Let g(h) = 4*d(h) + 3*p(h). Calculate g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/24, 1\/7, -0.43, -2, -7?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50014)\/12 - (-1 + 2). Let s = -4184 - u. What is the common denominator of ((-3)\/(-10))\/((-6)\/125) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2864)\/(-20) + (-1)\/5. Let z be (-2)\/(-2)*1*h. Suppose 0 = 3*x - 4*p - 317, 3*p = -2*x + 40 + z. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 103*d - 14108. Calculate g(78).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1108440?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1900\/285*((-24)\/(-10))\/(-2). Let q(m) = 49*m + 39. Let p(l) = -151*l - 117. Let y(d) = r*q(d) - 3*p(d). What is the first derivative of y(h) wrt h?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/3 + 4741*j + 142130\/3 = 0.\nAnswer: -14213, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12449 divided by 12449.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17838 is divided by 1499?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 414514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*q = -10, 0*q - 10 = 3*d - 4*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0) + -33 - (8 + -5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16937080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 1:04 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42306 - -13270?\nAnswer: -27016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -30*b**2 - 351*b - 199. What is q(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.2 and 0.8237.\nAnswer: 5.10694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x - 183 = -249 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(405) - sqrt(10)\/sqrt(2)*2*2.\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 609 + -582. Solve -4*v - 4*l + g = 3, 4*v = 5*l + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 26. Let s = -6 - u. What is the remainder when 105 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1*6\/(-12)). Put o, -3, 3 in descending order.\nAnswer: 3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 16. Let t be v(-8). Let u(m) = 16*m + 2. Let l(a) = -a**2 - 23*a. Let o(n) = -l(n) - u(n). Calculate o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**3\/((h*h**(3\/19))\/h**(-2\/85)) assuming h is positive.\nAnswer: h**(1029\/3230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.4 - 2.6. Let x = s + 18.4. Let m = 0.6 + x. Is m less than or equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 1064580*o**2\/7 + 2129154*o\/7 + 1064576\/7.\nAnswer: 2*(o + 1)**2*(o + 532288)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.015436 and -87474.\nAnswer: -87469.984564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + (-2 - 2 + 2)*(-3 + 0 + 5) - 4 + 5 + 1)*(v**3 - 3*v**3 + v**3) - 2*v**3 - 3*v**3 + 4*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1024 (base 6) to base 16\nAnswer: e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/4*63*(-9)\/(-6) a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9292.639kg to milligrams.\nAnswer: 9292639000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 418776.9 micrograms?\nAnswer: 0.0000004187769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 - -13. Suppose -12*c + a = 36. Solve 11*s = c*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 26303216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5 = 4*w - 3*w, -1 = -w - 5*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.5 - 15.22. What is n rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4385 - 4765 - 8388 - 6099 + 4623 - 4100)*(-3*d + 2*d - d).\nAnswer: 46228*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/1671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2)\/((-16)\/6). Let g = 3.945 - 4.145. What is the fourth smallest value in 1, 1\/6, g, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/173328 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 18. Let h(q) = 7*q**2 - 19*q - 34. Let m(l) = -3*l**2 + 8*l - 1. Let b(d) = h(d) + 2*m(d). What is 2*b(c) - 5*y(c)?\nAnswer: 2*c**2 - c + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/11 + 18*s**4\/11 - 60*s**3\/11 + 8*s**2 - 48*s\/11.\nAnswer: -2*s*(s - 3)*(s - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 886 divided by -11\nAnswer: -886\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-278)\/(-18) + (-115 - -100) - (-3339797)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = 0, j = 9*f - 4*f - 3. Solve 0 = d + x + j, x + x = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c*d*u**3 - c*d + 46*c*u**3 + 7*c*u wrt d?\nAnswer: -8*c*u**3 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 2*x**2 - 2. Let q = -56 - -58. Suppose -q*i - 4*k = 8, i - 1 = -i + 5*k. Give y(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*y - 385 + 375 = 0, -c + 4*y + 23 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*h - 208*h - 830*h**2.\nAnswer: -830*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 1. Let x(m) = 11*m - 9. Let w(k) be the third derivative of -k**4\/4 + 5*k**3\/6 - 5*k**2. Let a(z) = 7*w(z) + 4*x(z). What is 6*a(o) + 5*q(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 546?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 830579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.49 - 0.51. Sort 0, v, 0.8 in increasing order.\nAnswer: v, 0, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 267 (b) 2\/11 (c) 0.04 (d) 6 (e) -28 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + c**2\/2 - c\/4 - 1\/2.\nAnswer: (c - 1)*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d + 1. Let r be q(1). Let y = r + -6. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 43644527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2836\/(-21270))\/(4\/870)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 29 = k. Let v = -47 + k. Solve -v*u + 1 = -5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 21 - y - y in the form t*y + s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let i(v) = -2*v + 5. Let y(j) = -6*j + 18. Let u(x) = 14*i(x) - 4*y(x). Determine 5*b(l) + u(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116, -181, -250, -323, -400, -481, -566?\n\"Answer: -2*r**2 - 59*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/5 + 2532*q**3\/5 + 154224*q**2 + 20322480*q + 984565200 = 0 for q.\nAnswer: -334, -170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4 = -g - 3*g, 0 = -2*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 30441, 41 in increasing order.\nAnswer: 9, 41, 30441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -933 (base 12) to base 4\nAnswer: -110313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.2 - 9. Let b = a - -2.91. Let i = b - 0.1099798. Round i to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let i be v(-1). Let f(k) = -k**3 - 6*k**2 + 7*k + 2. Let t be (-3 - 1)*(-70)\/(-40). Let u be f(t). Solve 2 + u = -i*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54837 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 166.33. Let y = o - -0.7. Let w = -0.03 + y. Is 1 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*j**3 - 2*j**2 + 278770*j + 328978229?\nAnswer: 36*j**2 - 4*j + 278770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -4.9362.\nAnswer: -5.9362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 2*o + 9. Let d(j) = -j**3 - 6*j**2 - 5*j. Let f be d(-5). Suppose -5*c + 36 - 1 = f. What is the tens digit of w(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189952 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1582291 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-627 - -697 - (-2 + 29))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Let u be 1\/2*(-3 + -1). Let r = -8 - u. Give f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5317 - -4570.5. Round a to the nearest ten.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from bnnennbb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 4. Suppose -g*u = -4*u + 254. Is -127 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.36717 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1000001101001011011?\nAnswer: -1000001101001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/8)*d\/d**(-2\/5))**(-3\/38)\/(d*d\/(d**2\/d)*d*d**(-1\/5)*d\/d**(-2\/5)*d**(-2\/9)) assuming d is positive.\nAnswer: d**(-41843\/13680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851250261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/5 (b) -24 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-245))\/(38\/399). Factor 0*n + 9\/5*n**2 + h*n**3 - 12\/5.\nAnswer: 3*(n - 1)*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 0.8, -16, 43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4509427 is divided by 105.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/2 + 14543*x + 211498849\/2 = 0.\nAnswer: -14543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127120.99701 + -300909.77754. Let b = u + 173790. Let t = -1.22 + b. What is t rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-72))\/(-15) + ((-4)\/480)\/1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) + (-13)\/(-20). Let k = 0.83 - -20.17. Let v = k - 23. Which is the nearest to n? (a) -0.3 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5482647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1142 = -3*o, 53*b - 757 = -2*o + 50*b. Calculate the remainder when 770 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = -19. Suppose -10*g + 6*g + 4*r + 1908 = 0, -g - s*r + 457 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 39. Suppose 2*j = -o*j + 4*y - 20, -j + 3 = -3*y. Let t be j\/(20\/(-5) + 5). Is t < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3*2\/3). Let t be p\/(5\/(15\/(-6))). Suppose t = 4*k - k - 33. What is the highest common divisor of k and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144957143*p**3 - 37666*p**2 - 6*p wrt p?\nAnswer: 869742858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1012, -2021, -3030, -4039, -5048?\nAnswer: -6057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10335\/(-4134))\/((-2)\/(704\/(-10))). Let u(a) = -5*a**2 - 5. Let l be u(4). Is l at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3040 = 5*i, i - 693 = -3*f + 1133. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, y: 1, h: 1, n: 2, v: 1}. Give prob of sequence yhv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 21*u**2 + 20*u. Let z be h(-20). Suppose z = 6*d - 497 - 349. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*u + 396146 = 210*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -101301*i. Let c(q) = -40*q**2. What is u(c(h))?\nAnswer: 4052040*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**6 + 373*h**4 + 3*h**2 + 2*h - 982?\nAnswer: -480*h**3 + 8952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 7*o - o + 6*o.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48748 divided by -3482.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.52, 1.3, -4 in descending order.\nAnswer: 1.3, 0.3, -0.52, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4466\/7150*10 - (2\/3)\/(299\/(-69))\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19820 and 7535.\nAnswer: 29868740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -177*c - 1581. Let l be w(-9). Solve -5*d = l*d + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25721.84 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*n - 12*n**2 + 13*n**2 + 159*n + 24*n**4 as g*n**2 + w + h*n**3 + d*n + k*n**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.24 - 0.24. Let n = -14 - 3.2. Let l = n + o. What is the smallest value in -4, l, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 + 5*c - 12. What is r(-9)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1861.64 - -0.01.\nAnswer: 1861.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1611275436 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 50 = -4*b, b + 749 = 6*d + 670 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/7 - 17723347*j**2\/7 - 11218469115088*j - 235587691906752\/7 = 0. What is j?\nAnswer: -8861672, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -284, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24\/29, -2\/7, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j**2 + 32*j + 10. Let k(b) = -47*b**2 - 90*b - 28. What is 3*k(u) + 8*m(u)?\nAnswer: -21*u**2 - 14*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78813 and 64323.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78882*k**2 + 1049 + 78889*k**2 - 157772*k**2 + 161.\nAnswer: -k**2 + 1210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(8\/4))\/((-3)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3834373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.64 + -5749.64. Let q = 5684.53 + k. Let o = 40 + q. Round o to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -106?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + -1 + sqrt(208) - sqrt(208)) + 2 + 0 + -3 + -4)*5)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 6*m**2 - 19*m**2 - 2 + 2*m + 9*m**2. Let s = 4 - 6. Let d(y) = -13*y**2 + 9*y - 9. Determine s*d(o) + 9*x(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5318873?\nAnswer: 7, 109, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 180, p - 3*p + 4*p + 34 = 4*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 0.2778?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2356\/16 - ((-27)\/(-12))\/(-3). Suppose 0 = -3*b + 160 - k. Solve 5*x - 5*g + 0 = 20, -7 = 5*x + b*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -23*f**2 - 3*f. Let j(q) = q**2. Let h(p) = -b(p) + 2*j(p). Find the second derivative of h(c) wrt c.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 8) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2 - 8)*13. Let x = 23 - h. Suppose z + 2*z - 4*r - x = 0, -3*z = r - 145. 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: What is the third root of 258617905 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*p + 18 = 0, -2*d - d - 5*p + 122 = 0. Let r be (-122)\/115*d\/(-3). Let g = 26\/69 + r. Calculate the common denominator of g and -76\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)\/n)**39)**(-5) assuming n is positive.\nAnswer: n**1950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 0 + (-2*sqrt(24))\/sqrt(12) + sqrt(2).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*((2 + 4 - 2)*(4*m**2 - 6*m**2 + 0*m**2) - m**2 + 3*m**2 + 0*m**2).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, 35, 109, -15 in ascending order.\nAnswer: -15, -3, -1, 5, 35, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -0.2, -2, 4, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.560556 kilometers?\nAnswer: 5560556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740009, -739984, -739943, -739886?\nAnswer: -739813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230361 + 25?\nAnswer: 230416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 7*l + 3. Let s be f(-6). Suppose -2*i - 3*i + 25 = 0. Suppose -3*a - 9 = 3*r, -i*r + 3*a + 2*a + 25 = 0. Sort s, -1, r in decreasing order.\nAnswer: r, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 + -44?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 905*q - 133802. Calculate p(148).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 8, -4*k + 8*y = 3*y - 18. Let i be (-1)\/(-2*k\/8). Which is the smallest value? (a) i (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 8. Let i = y - -2. Suppose 2*q = -f - 3*f + i, 4*f + 4*q = 16. Solve f*p = -3*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 307226 and 754.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:31 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 3*l**2 - 2*l + 3*l - l**3. Suppose 2*y - 18 = 5*y. Let i be ((-15)\/(-6) + -2)*y. What is k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8079 - -8078. What is the nearest to 0.1 in 0.4, h, 45\/47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*j**2 + 167*a*j + 4*a - 250098*j**2 wrt a.\nAnswer: 2*j**2 + 167*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6744837 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpllplllppllplpllll. Give prob of picking 4 p.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*v + 4 = 0, 0*v = -2*k + 2*v - 6. Which is the third biggest value? (a) 0.08 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-9) + (-4)\/(-6). What is the third derivative of -27*c**4 + 21*c**2 + 31*c**2 - 5*c**p wrt c?\nAnswer: -648*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 15*y**2 + 17*y - 4. Let p be a(16). Let j = -5 + 10. Let i be 1\/4 - (-3)\/(-12). Solve 4*v - 4*q + p = i, 2*v + 2*q + 1 = -j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3448732, 3448794, 3448856?\n\"Answer: 62*l + 3448670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 + 5505*x - 1376 = 0 for x.\nAnswer: 1\/4, 1376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-411)\/1370)\/(24\/(-10)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11134501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201476582?\nAnswer: 2, 151, 667141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 12*k - 10378. Let r(t) = 3*t**2 - 12*t + 2. Give -l(f) - r(f).\nAnswer: f**2 + 10376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101, -84, -75, -80, -105, -156, -239?\n\"Answer: -i**3 + 2*i**2 + 18*i - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -445*m - 675. Calculate z(-4).\nAnswer: 1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let o(b) = -5*b**2 - 3*b. Let g(x) = -4*k(x) - o(x). Suppose -4*z - 5 = 3. What is g(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433630567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)*y**(-2\/3)*y)**(-47)\/((y**(-2))**(28\/9)\/(y*y**(1\/5)*y)**(2\/33)) assuming y is positive.\nAnswer: y**(1273\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56*(-8)\/(-640)*8*5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8 - 3\/2 - -2. Let w be 143 + (r\/3)\/(1\/(-9)). Calculate the highest common divisor of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - c = 33692, -39*c - 67390 = -2*a - 35*c. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z + 4. Let f(v) = -v**2 + 6*v. Let m be f(3). Let l(d) = -13*d - 17. Let h(q) = -13*q - 17. Let n(w) = 3*h(w) - 4*l(w). Calculate m*s(t) - 2*n(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from vvvvmqmm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 - 0.335. Let q = j + 0.11. Suppose -3*w - k = -6*k + 10, 5*k = -3*w - 20. What is the third biggest value in w, q, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - w - 5213, -15*w = -4*f - 13*w + 5210. Let t = 2241 - f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23421 divided by 3?\nAnswer: -7807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnhgobhbgsbgbgh. What is prob of picking 2 s and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {v: 1, x: 2, l: 3, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 1. Let l(c) = -46*c + 12852. What is 9*i(t) + l(t)?\nAnswer: -t + 12861","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4380\/(-9198))\/((-6)\/(-14))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96630208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, -37, -3, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2360979 + 19913036. Let s = 10004229 - g. Let z = -2047828 - s. What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/17 - 163\/255. Let m = 3\/5 + i. What is the smallest value in -3, 2\/11, m, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 18*k**3 + 2*k**2 - 1. Let r be m(1). Let i = r - 8. Suppose i = 3*f - 22. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + v**3 + v**3 - 4*v**3 + 0*v**3 + 3*v**3 + (5*v**3 - 5*v**3 + v**3)*(-2 + 4 + 0).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/3 + 42274*t - 22132600\/3 = 0. Calculate t.\nAnswer: 175, 63236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 2\/3, -12998, -5, -27 in descending order.\nAnswer: 5, 2\/3, 0, -5, -27, -12998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/10*((-50)\/60)\/(2\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(40)\/sqrt(4))\/sqrt(2))**2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + q - 1 + 2*q. Let f be n(5). Suppose f*l = 3*l + 19. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 51\/4*k**4 + 48*k - 48*k**2 + 3*k**3 - 12 - 15\/4*k**5 = 0?\nAnswer: -2, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Suppose u = -6*q + 2*q - 12. Is -1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.8 + -11.709. Round x to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:47 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 - 9*a**2\/2 + 8*a + 2. Let h be x(8). Suppose -5*s + 11 + 24 = h. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:18 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 168480181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(13)*2 + (sqrt(130) - -1*sqrt(130))\/sqrt(10) - ((sqrt(208) - (-4*(sqrt(208) + 0) + sqrt(208))) + 2)**2.\nAnswer: -3329 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = l - 12, -3*k + l = -11. Solve -k*w = 3 + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {c: 1, z: 2, v: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 104*w**2 - 1627*w - 1030. Determine q(-85).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65265197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7276935597 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*y**2 + 2028010*n*y + 4*n + 2*y**2 - 4117*y + 1438 wrt n.\nAnswer: -y**2 + 2028010*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1028591 - 24\nAnswer: 1028567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1033?\nAnswer: 1\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 - 507*x**4 + 13140*x**3 - 22092*x**2 - 262032*x - 322560 = 0. Calculate x.\nAnswer: -192, -2, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 6 + 34 = -4*j, 5*j - 58 = -17*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {o: 13, b: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -59*d - 39. Let p(q) = -177*q - 117. Let s(b) = -17*g(b) + 6*p(b). Is s(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = -11*n + 65*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, 3, -2, 22427 in decreasing order.\nAnswer: 22427, 3, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7271 rounded to two dps?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q = 10. Suppose -3*m - q*m + 185 = 2*k, -179 = -2*k - 3*m. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -118*((-52)\/156)\/(20\/(-39) - 8\/52).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(4\/11))**30 assuming u is positive.\nAnswer: u**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9\/15*(-2)\/(-2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let y(x) = 109*x. What is k(y(n))?\nAnswer: -23762*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-18) - 105\/(-18). Let y(p) = 3*p - 9. Give y(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o = -57*o + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2*p**6\/3 + 61*p**5\/5 - p**4\/2 + 4*p**3\/3 - 192*p**2 + 3583. What is the third derivative of x(d) wrt d?\nAnswer: 240*d**2 + 1464*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -68. Suppose -20 = -4*f - 4*u, -u - 7 - i = -3*f. Suppose 468 = -2*s + f*s. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + 0 + 0)\/1. Let r = l - -7. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -243 - -12?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 106898586439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**8*k*k*k*k)\/k**(-1))\/(k**(-2\/9)*k**(-7)))**22 assuming k is positive.\nAnswer: k**(4004\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - ((0 - 0) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 11341 - 206821. Suppose r = 44*g - 17365. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 5*z + 3. Let q be c(5). Let y be (1\/(-1))\/(q\/(-30)*2). Suppose 132 = y*x + 32. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(34)\/sqrt(2)*-1*-6 + (-1 + 0 + sqrt(68) - sqrt(68))*-6)**2.\nAnswer: -432*sqrt(17) + 22068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 12?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 6*r - 15. Let c(z) = z. Let y(k) = b(k) - 6*c(k). What is the derivative of y(a) wrt a?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(17) - 1*sqrt(17) - sqrt(17)) + (sqrt(17) + 1)*5)**2.\nAnswer: 90*sqrt(17) + 1406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/419 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 1. Let t(z) = -10*z - 2. Let y(s) = 2*n(s) + t(s). Let h(w) = 56*w. Calculate h(y(a)).\nAnswer: 112*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560594.\nAnswer: 2, 280297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 581 or 42907\/74?\nAnswer: 42907\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = -0*r. Suppose 8*c - 48 = r*c. Calculate the remainder when 47 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 26110.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25757670.3 rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -149*y + 474 - 1517. Are y and 270 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1827 by 5.\nAnswer: -1827\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 571867857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from xxxxiixxxxixiiixxxi?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, -24, 4, 24.\nAnswer: -24, -4, -2, 2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -14. Let q be 2*(-2)\/d*2. Let l = 77.7 - 78.7. Which is the closest to l? (a) q (b) -0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m\/m**6)\/(m**(-1\/4)\/m**(-1\/5)))**(-11) assuming m is positive.\nAnswer: m**(1309\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 + 0 = 0. Let j be (-98)\/(-8) + 5\/(-20). Solve -d*v = v - j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*u = 33, 3*u + 1 = -2. Let i = -110 + 106. Let l be (-5*(-4)\/40)\/(i\/(-24)). Solve -3*s = -l*n + o, -s - 3*n = -n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1216\/80 - 16)\/(-1 + -1). Let u(i) be the first derivative of 0*i**2 - 1\/10*i**4 + v*i**3 + 3 - 8\/5*i. What is p in u(p) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180096711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*b**3*d*g + 2*b**3*d*q + 8*b**3*g*q + 4*b**2*g + 2*b**2*q + b*d*q + d*g + 72*q wrt b?\nAnswer: 264*d*g + 12*d*q + 48*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (3\/3 + 1). Let r be (11 - 15)*-1*1. Differentiate c**r - 4 + c**p + 0 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 - -420. Let t(k) = 32*k**3 - k + 1. Let f be t(1). What is the greatest common divisor of f and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 42336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*s - 366*s + 608 = -761*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2.07 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5\/6 + 5605*g**4\/6 + 7862407*g**3\/6 + 23536799*g**2\/6 - 11204*g\/3 - 15691202\/3 = 0.\nAnswer: -2801, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x + 128. Calculate d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133018372.\nAnswer: 2, 283254593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2016))\/sqrt(8).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i**2 + i + 35. Let w be r(0). Suppose 0 = -4*l - w + 155. Suppose 0 = 4*f - 7*f + 5*x - 13, -5*f = 2*x - l. Put 0, f, -1 in decreasing order.\nAnswer: f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*v**4 - 67365*v**3 + 120336*v**2 - 53568*v.\nAnswer: -3*v*(v + 279)*(9*v - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 1421, 3260, 5825, 9110, 13109?\nAnswer: 17816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.309299058743 minus 1?\nAnswer: 7.309299058743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*o - 4*o - 93997, 0 = 5*n + 2*o + 235006. What is n rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 1\/5, 0, -674577?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/38*(-14)\/306*7388. Let j = o - 507. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*x + 2*x. Let z(l) = -5*l - 12. Let r(m) = m + 1. Let q(d) = x*r(d) + z(d). Determine q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115258890083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 539 - 531. Suppose -21669 = -m*h + 16979. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5123604277444*z**2 + 36216608*z - 64 = 0.\nAnswer: 4\/1131769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-11 + (22 - 12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 4. Let z be n(4). Suppose 46*i + 16 = 47*i. Solve -z*b + 0*b - i = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -125*i + 133*i - 136. Calculate the remainder when 52 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w + 4 = 0. Suppose -4*l + w*v + 48 = 0, 4*l - 9 = -v + 49. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.7724 - 0.0724. Let h = d + -38. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -81, -248, -565, -1080, -1841, -2896, -4293?\nAnswer: -6080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 448\/12*(-6)\/(-4). Suppose -r = -4*k - 0*y + 4*y, -2*k = 3*y - 8. Which is the nearest to 0? (a) -0.2 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 359749 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*((3 + -4)*-1 + -4). Let f be (3\/(h\/(-10)))\/(2\/(-160)). Suppose -3*n = -n - f. What is the least common multiple of 16 and n?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3039 by 28.\nAnswer: -3039\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, 0.008, 0.16, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 238 divided by -119\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.855071 millennia?\nAnswer: 885.5071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 16. Let j(x) = -x**3 + 9*x**2 - 10*x + 1. Calculate the remainder when j(h) is divided by (-96)\/(-10) + 2\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 0.006 (c) 4\/3 (d) 0.2 (e) -8 (f) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22321624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 480653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 14 + 16 + -12 + -22\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1857 + -1856.9987752. Round d to 5 dps.\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 17*n + 6. Let a be 0 + -4 - n - -54. Let q = 268\/5 - a. What is the closest to -1\/4 in -1\/7, -1, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21105 divided by 7035?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 92 - 69)*(3*n**4 + 0*n**4 - 5*n**4) + (3*n - n - n)*(4*n**3 - 2*n**3 - 3*n**3).\nAnswer: 413*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89699529*x**3 - 12768130.\nAnswer: 269098587*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2) + 3 + (26460\/(-1134))\/(14\/(-30)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let s(g) = 12*g**2. Let l(i) = -6*i**2 + 8*i**2 + i**2 + 46*i**2. Let v(r) = 2*l(r) - 9*s(r). Calculate v(m(w)).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/18 + (11\/6 - 2). Let y = 40 + -16. Suppose y + 0 = 4*x. Solve -x*n = -r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + -91. Suppose v - 18 = -8*c. Let r = 77 - 74. Solve -2*z = c*n + r*z - 13, 0 = -3*n + 4*z + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**3 - 5*s**2 + 8*s - 10. Determine r(4).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 3. Let u be (-4)\/18 + 4\/18. Let a be h(u). Factor 1\/3*s**a - 1\/3 + s - s**2.\nAnswer: (s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:38 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 - -7 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649 divided by -1.\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 596\/(-6)*(-4 - 2). Suppose a = 4*v + 3*t - 118, -v + 4*t = -188. Suppose 4*z = -12, 2*s - v = -s + z. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.5 (c) 2\/15 (d) 2 (e) -2.1 (f) -1\/62 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140b + -4?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2. Let y(g) = -37*g - 10. Let j(o) = 85*o + 18. Let l(n) = -4*j(n) - 9*y(n). Calculate l(i(a)).\nAnswer: -21*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611719446 and 348?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -0.4481?\nAnswer: -0.4481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216045 - -328228. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153052501.\nAnswer: 3, 383, 1873849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 414002?\nAnswer: 414021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 23*v. Let n be d(-1). Let k = n - -24. Let s be (-2)\/(-4)*(-30)\/(-3). What is the greatest common divisor of k and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 4 - b**2 + 0*b - b**5 + 5\/3*b**3 + 1\/2*b**4. Factor z(l).\nAnswer: -l*(l - 1)*(l + 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 275*f**4\/72 - 155*f**3\/9 + 35*f**2\/3 + 1897*f. Factor c(w).\nAnswer: 5*(w - 2)*(55*w - 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235198 - 235200. Let p be (0 + 0 - 1)\/1. Let w be 1*2\/11*p. What is the fourth smallest value in 0, n, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 17221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 16*m**2 + 17*m - 21. What is i(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 4632*n - 144533. What is a(31)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62764072.\nAnswer: 2, 7, 1120787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/(-6)*(-52)\/(-1352))\/(-5).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -159*y**2 - 19*y + 11. Let s(u) = 32*u**2 + 4*u - 2. Let l(d) = 2*o(d) + 11*s(d). Find the second derivative of l(h) wrt h.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*b - 322 + 322 as j + q*b and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1\/6 (b) 1 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -32443417.\nAnswer: -291990753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 0 = 44. Let m be 2\/o*(-5 - -5 - -6). Solve 10 = m*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -21\/473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -943 and -119.\nAnswer: 112217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*b = -5*b + 2, 6 = 4*f + 5*b. Suppose 0 = r - f - 1. Let d(s) = -s + 7. Let m be d(r). What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from rrrzriitf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/98 and 2\/771883?\nAnswer: 10806362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -0.09 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/30*(2 - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 180470046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/5040 - h**6\/180 - h**5\/30 + 2*h**2. Let f(a) be the third derivative of l(a). What is f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 66, 99, 168, 285, 462?\n\"Answer: 2*g**3 - 5*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.1, 2754?\nAnswer: 2754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6))**(15\/2)\/(p**(-3\/5)\/((p\/(p**2\/p*p))\/p*p*p)) assuming p is positive.\nAnswer: p**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9 = -w. Let o = -0.2255 + 0.4255. Let h = -0.2 + 0.1. Which is the nearest to h? (a) o (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*w - 9, -2*d = -8*d + 4*w - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**10)*p)\/((p\/p**(1\/22))\/p))\/(p**(-5)*p*p*p*p\/((p*p\/p**(-2\/7))\/p)) assuming p is positive.\nAnswer: p**(-1027\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4231447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/503173251?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - 3*sqrt(1900))**2 - (sqrt(152) + -3*sqrt(152))\/sqrt(8).\nAnswer: 2*sqrt(19) + 15979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/13 + 30812788*c - 400566246\/13.\nAnswer: 2*(c - 1)*(c + 200283123)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 25 = -4*c, 0 = -2*d - d + 3*c + 60. Let j be 3\/(-2)*(-56)\/d. Is 1\/j - 75\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 58*w**2 + 229*w + 268. Let k(y) = y**3 + 62*y**2 + 228*y + 267. Let u(m) = -2*k(m) + 3*o(m). Factor u(v).\nAnswer: (v + 2)*(v + 3)*(v + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - t**2 - 4*t - t + 4*t**2)*(4*t - 4*t - 2*t)*(-t - 2*t + t).\nAnswer: 4*t**5 + 12*t**4 - 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*a + 2*a - 441 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - p + 6. Let a be c(0). Suppose 22 = a*x - 320. Calculate the remainder when 168 is divided by x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*x + 4*x + 3*i, -4*x = -2*i - 32. Suppose 10 = 5*f, 3*w - 14 - 26 = 4*f. What is the least common multiple of x and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -50?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 12:30 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(31 + -31)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68161069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 256\/18 + (-4)\/18. Let i be -3 - (-7)\/(h\/12). Solve 5*a + 16 = -3*o, 0 = -2*o + 4*a + 1 + i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxtzr. Give prob of sequence tr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 11007.38?\nAnswer: 121081.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-45.5431.\nAnswer: 136.6293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472928000 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0179975 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*r + 29 = 2*r, -2*r - 4 = 0. Put 3, s, 0 in ascending order.\nAnswer: s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Solve -5*d + 0*d + m = -5*o, 2*o = -3*d + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7385810*o**2 + 3025934*o?\nAnswer: -14771620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*d - 80*d + 428 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 y when three letters picked without replacement from {f: 1, y: 4, n: 2}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4854*o - 23912. What is f(-5)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 798650 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888332495?\nAnswer: 5, 29, 6126431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 73 - 32 - 31 + 15*x**5 + 40*x**4 - 15*x - 50*x**2 = 0. Calculate x.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, z: 4}. Give prob of picking 1 l and 2 z.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 14*u + 2. Let y = 406 + -392. Give n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1*2)\/(-3*sqrt(176)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.103785179 rounded to 2 decimal places?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(-1*sqrt(550))\/sqrt(10))\/(sqrt(25)\/(sqrt(35)\/sqrt(175))))**2.\nAnswer: 704\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70364.32 rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(342))\/(sqrt(2) + (sqrt(2) - (sqrt(100)\/sqrt(2) - sqrt(2)))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2. Let z(u) = -u**3 + 6*u**2 - u - 1. Let l be z(6). Let h(b) = b - 2. Calculate l*h(m) + 6*p(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 16 = -13*a. Let b(j) = 41*j - 86. Let n be b(a). Calculate the greatest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.9*-2258\nAnswer: 69772.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 755.120164668\nAnswer: 755.180164668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 1. Let i be x(1). Suppose -a - 3 = -i*p, -4 = -a - 3*a + 4*p. Sort a, 0, 4 in ascending order.\nAnswer: 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/15)\/(16\/(-24))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44398 divided by 3436?\nAnswer: -22199\/1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023859 rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*s + 119 - 4, 5*s - 5*v = 295. Suppose i - s - 320 = 0. What is the hundreds digit of 1\/(i\/(-127) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -156, -14, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:53 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.5 + -18. Let g = -2.238 + 6.238. Which is the biggest value? (a) -3.8 (b) g (c) t (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 8*j. Let u(m) be the third derivative of 3*m**2 - 2\/3*m**3 + 1\/120*m**6 + j + 0*m + 1\/12*m**5 - 1\/24*m**4. Give u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r = 1020*r + 240*r + 106314 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 7}. What is prob of sequence cppp?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g + 38*g + 12*g - 3*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 3 + (-2 - 0). Calculate the highest common factor of 35 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-209 + 205)*((-10)\/(-12))\/5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(11 + (-1932)\/180)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3115 (base 8) to base 9\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**2 - 8*j**2 - 3*j**2 - 6*j + 10*j - 8*j to the form d*j + w + t*j**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22.3 (b) -4 (c) -1 (d) -0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f**2. Let q(a) = -8*a**2 - 22*a. Let s(g) = 3*g**2 + 8*g. Let x(c) = -4*q(c) - 11*s(c). Give m(x(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 61 (b) -231 (c) -31 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - -35. Let g = -94 + d. What is the closest to 0 in 5, g, -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6 - (-1)\/(-2). Does 3 divide 3\/w*(-112)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418.191s to milliseconds.\nAnswer: 418191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**5 + 3*q**5 - 5*q**5)*(5 - 4 + 0) - 2*q**5 + q**5 + 3*q**5 + 18*q**5 - 32*q**3 + 32*q**3 + (-q**2 - 4 + 4)*(3*q**3 + 3*q**3 - 5*q**3).\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679872*z**2 - 169966*z**2 - 169968*z**2 - 169971*z**2 - 169972*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 105. Suppose -12*g = 61 - 289. What is the remainder when i is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -51*u - 17. Let l(k) = -58*k - 15. Let g(t) = -7*f(t) + 6*l(t). What is g(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2817 + 2817.2. What is the nearest to -0.2 in -2\/5, t, -0.3, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -1308\/47?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -11 + 8 - (-4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.23576296 to two dps.\nAnswer: 4.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - -1.6. Let z = -0.6 + 0.8. Let x = q - z. Sort 1, x, -4 in descending order.\nAnswer: x, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 276, 510?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -586.7?\nAnswer: -23.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 270202997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-2)\/(-6))*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 != 2958\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0\/2 - 0. Suppose -3*n + 3*q + 219 = 2*q, -4*n + 308 = 4*q. Let c = n - 62. Solve m + c = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)**(-1\/31)\/((w\/(w*(w*w*(w*(w*w*w**1)\/w)\/w)\/w*w))\/w**(-8\/7)))**1 assuming w is positive.\nAnswer: w**(613\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5 + 0.5. Let u = 3 + n. Let f be -3 - -3 - 6\/(-33). Which is the second smallest value? (a) f (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((m**2 + 2*m**2 - m**2)*(2 - 2 + 2) + m**2 - m**2 + m**2)*(m - 5*m + 2*m)*(7 - 4 - 1) as b*m**2 + q + w*m + f*m**3 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 7965 + 13085 = 0. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-6)\/4 + (-317)\/2). Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:47 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/23, 25\/11, 8, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**5\/5 + 13*b + 17. Differentiate u(f) with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y - 5*y + 2 + y + 0*y**2. Determine v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48800 and 38560.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - 2 - (4 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j**2 + 8439*j - 16876. Determine h(2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -15)*(-3)\/6 + 11\/4.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*h + 91*h + 35*h**2 - 197*h**2 - 1 - 254*h + 87*h wrt h.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose -5*o + 3*z + 108 = -42, -a*z = -4*o + 123. 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 be (8\/16)\/(26\/(-8)). Let i(b) = b**2 + 5*b - 7. Let p be i(-6). Is u >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 802 - 392 - 3*x**2 - 410 + x. Suppose -3*d = -3*c - 2*c + 25, -4*c - 2 = 2*d. Suppose f - c*f = 1. Determine b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + q + q + 0*q + (-2*q - 2*q + 3*q)*(3 - 5 + 0) + (904*q - 334*q + 1080*q)*(-3 + 2 + 0).\nAnswer: -1646*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 8.3, -2, 4, 0.2.\nAnswer: -2, -1\/2, 0.2, 4, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 444\/7 + -438\/7. Factor 6*j + b*j**3 + 18\/7 + 30\/7*j**2.\nAnswer: 6*(j + 1)**2*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)*(w\/(w**(-5\/4)\/w))\/w*w)**(-22\/9)*w**5\/(w**(-1\/8)*w)*(w\/w**(-1\/4))**17 assuming w is positive.\nAnswer: w**(8081\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 177 (base 9) to base 12\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/4 + -3 + 10. Let q(i) = -5*i**2 + v*i**2 - 2 + 2. Let y(h) = 5*h**2 - 4*h + 6. Let s(w) = -6*q(w) + y(w). Give s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(-1*sqrt(4)))\/sqrt(3))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -1, -19, -55, -115, -205, -331?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 58.\nAnswer: 5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65262473 and 442.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 60, 231, 574, 1149, 2016, 3235, 4866?\nAnswer: 6969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 12:30 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 6:45 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1424?\nAnswer: 0.4272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000600389 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/195*1\/(-1061). Let r = 5889613\/137930 - i. Let s = 44 - r. Calculate the common denominator of 83\/16 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-2)\/(-15) - 1\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -3 - (-1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(405)*-4 - (sqrt(405)*1 + sqrt(405))*3 - 5*(sqrt(405) + (sqrt(405) - 1*(sqrt(405) + 1 + sqrt(405))))))**2 + 0.\nAnswer: 720*sqrt(5) + 6580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7616117 + 7*f**2 - 7616055 + 6*f**2 + 15232172.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181617*-0.1.\nAnswer: -18161.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38059 (base 11) to base 5.\nAnswer: 3222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1501. Is a(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 55 = 123 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2246990592\/5 bigger than -449398119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -32653*n**2 - 9 - 8*n - 23346*n**2 - 11. Let q be r(10). Round q to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u = -2*d + 13, u - 5*d = 8. Solve u*h - 10 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**3\/2 + 2216*v**2 - 4820223*v\/2 - 7250265 = 0.\nAnswer: -5335, -3, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6.5. Let r = -0.6 + k. Do 0.1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 + 10 = -5*l. Let s = l - 34. Factor 85 - 37 - 4*a**s - 44.\nAnswer: -4*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5174, -5172, -5170, -5168, -5166?\nAnswer: -5164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 5\/3 (c) 2 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -2*z**3 - 13*z**2\/2 + 8*z. What are the prime factors of n(-13)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (-5 + (8 - -7 - 9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (0 - 8) + -3 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -4*d**7\/7 - 5*d**4\/4 - d**3\/3 + 91*d - 2. Find the third derivative of v(n) wrt n.\nAnswer: -1440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*x + 16 = 0, -4*a + 5*x - 72 + 77 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Let d(y) = y**2 - 4*y + 3. Let m be d(j). Suppose m*x + 3 = x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14554 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 1702781651.\nAnswer: 1702781651.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776980.\nAnswer: 2, 3, 5, 31, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 934.\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*o + 8 + 19, 3*o - 12 = 0. Solve 11 = -5*r - u*z - 4, -14 = 4*r + 3*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(2\/2) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 243*(-1*1\/24*-8)\/((-25)\/25)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwvw when four letters picked without replacement from {y: 3, v: 1, w: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61.2 - 61.19998772. Round z to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 0*k + k)*(6 + 1 - 2) - 4*k + 0*k - k + 2*k - 5*k + k to w*k + t and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/11 and 47\/3506.\nAnswer: 38566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33424, 66848, 100274, 133702, 167132, 200564?\n\"Answer: n**2 + 33421*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*c - 13 + 212, -5*q + 2*c = -240. Let h = q - 36. Suppose -4*j - 3*p - h = 0, 0*j - p = j + 3. What is the nearest to j in -5, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3839*q - 730*q = -2744*q - 861*q + 167850 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*y**2 - 560*n*y + 3*n - 3156*y**2 - 1 wrt n.\nAnswer: -2*y**2 - 560*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.32, -2604\/5, -1, 3\/7, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*c - 12 = c, -2*h + 8 = 5*c. Suppose 3*y + 2*y + p - 251 = 0, 3*p - 192 = -h*y. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {q: 1, z: 2, i: 1, l: 1, w: 1, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45830398?\nAnswer: 2, 23, 61, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 + 308043?\nAnswer: 308070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3. Suppose -25 = m + 4*m. Let w = m - -4. Let l(u) = 4*u**3 - u**2 + 2*u. What is w*l(x) - 5*j(x)?\nAnswer: x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -265, -481, -645, -757, -817?\n\"Answer: 26*t**2 - 294*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 - 4*j + 1. Let y(q) = 21*q**3 - 2*q**2 + q. Let a be y(1). Suppose -9*k = -4*k - a. Determine b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436265211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 10) to base 5.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1216)\/57)\/(-16))\/((92\/48)\/23).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, x: 4, i: 1, w: 4}. What is prob of sequence nw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2740 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + 7 + -6 + 8 - 26.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*j - 24479 = 424*j - 205*j for j.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1635 + 0.4635. Which is the closest to -4\/5? (a) z (b) -4 (c) 3\/13 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 + 0.3. Let i(z) = z**3 + 11*z**2 + 15*z + 22. Let g be i(-10). Let f = g - -27. Is f at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -183 (b) -2 (c) 0.2 (d) -6907\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is 585 minutes before 9:40 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 81. Let s(k) = -2*k - 162. Let j(c) = 2*s(c) + 5*w(c). Let f be j(10). What is the greatest common divisor of 65 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010100110 - -1101011000000?\nAnswer: 110000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049748 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 5*d + 1639, x = 2*d - 1654. Is (2 + x)\/(-3) - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-77)\/56 + (-2)\/(-3). Let a = -5\/6 - o. What is the third biggest value in a, -3\/2, -2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 64 = 2*n. Is n\/(-4)*(-1)\/2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495\/2011 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:14 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*(2\/15)\/(60\/(-50)). Let i(j) be the first derivative of p*j**3 + 0*j**2 + 9 + 0*j + 1\/5*j**5 + 0*j**4. What is the third derivative of i(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k - 1. Suppose -4*h + 3*h - 1 = 0. Let s(n) = 4*n**2 - 6*n + 6. Let u(d) = h*s(d) - 6*y(d). Let a(v) = -3*v**2. Determine u(a(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82513*b*i**5 - b*i**2 - 254*b - i**5 - 43*i**3 - 2*i**2 - 4*i - 415 wrt i?\nAnswer: 4950780*b*i**2 - 60*i**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10535 and 3920.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9484153 to 2 decimal places.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 291508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5302\/5 - 58262\/55. Is -2\/59 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2554 divided by 2554\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-3 - 3*26\/(-15)). What is the nearest to 0.4 in -44, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k**39*k)\/k*(k**12\/k)\/k assuming k is positive.\nAnswer: k**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**9*y**8*y**1\/((y\/(y\/(y\/y**(-3))))\/y) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/((-24)\/174) - 8) + -4. Sort -3\/10, o, 2\/231 in ascending order.\nAnswer: -3\/10, 2\/231, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 17*t = -7728. Let b = 904 - t. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14310 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {t: 1, o: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + 10 - (15 + -12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(3*j**3 + 0*j + 0*j) - 17*j**3 - 64 + 64 - j**3 - 4*j**3 + 4*j**3 + (-2*j**2 + 3*j - 3*j)*(-j - 2 + 2).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 36*t - 38*t - 16 - 3*t**3 + 10*t**3 in the form g*t**2 + u*t**3 + b + v*t and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3938 and 946.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-6)\/(-12)). Let n = 3337\/15 - 222. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89382602 - -763076?\nAnswer: 90145678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/((-13)\/(-36))*-1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 13. Let b(h) = -15*h**2 + 1. Let u(z) = -4532*z**2 + 309. Let l(r) = -618*b(r) + 2*u(r). Give l(y(w)).\nAnswer: 1854*w**2 + 16068*w + 34814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/3221 + 45877\/11296047. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164*(-4)\/(-10)*15*6\/(-72))\/(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5*r\/(r**1\/r)*((r*r*r\/(r\/r**(-1\/3)))\/r)**(2\/37) assuming r is positive.\nAnswer: r**(670\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167*v**4 - 263 - 490 + 428 wrt v?\nAnswer: 668*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -7*a**4\/24 - 11*a**3\/6 - a**2. Let h be g(-13). Let b = h + -53. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -67943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 348 = 3*y - 3*v, v = 0. Suppose -2*j + 3*q = -y + 14, -5*j - 2*q + 230 = 0. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857*j + 28 = 1853*j + 2*x, -21 = j + 3*x for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 - 20283 = 3*u. Let g be (2\/3)\/(10\/u). Let w = 3889\/9 + g. Is 0 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-7)\/a)\/a)\/a*a**4*a)\/((a*a**7\/a)\/(a**(-11)\/a)) assuming a is positive.\nAnswer: a**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2 + 416*v + 1455. Give z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*b**4 + 0 + 40*b**4 + 7 wrt b.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20311 - 2?\nAnswer: -20313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -61*n - 71. Suppose -26 = 10*u + 34. What is the units digit of p(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*s - 38, -30 = -3*s - 0*c - 3*c. Let n be 67\/6 - 1\/6. What is the second derivative of 40*r**2 + s*r - n*r**2 - 20*r**2 - 19*r**2 wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 872352.4l?\nAnswer: 872352400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 722 - 734, -3*i - 4*b = 1. Solve -2*c + 2 = -2*r, 2*r - 38 = i*c - 37 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.73788 minus -22315?\nAnswer: 22270.26212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82130874?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/5 + 4*h**2\/5 + 6*h\/5 = 0. Calculate h.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.8 plus 9052894.66?\nAnswer: 9052725.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 15*r**2 - 18*r + 27. Let m(l) = -l**3 + 5*l**2 + 6*l - 8. Let k(f) = -2*i(f) - 7*m(f). Give k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - 4*y**3 + 4*y + 5*y**3 - 3*y**3 + 10*y**2 - 8*y**2 + y**2 to j*y**4 + m*y + i*y**2 + k + r*y**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 929783650 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 1, d: 1, q: 1}. What is prob of picking 1 t, 1 q, 1 l, and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6 + 6 + (-2 + 0 + 0)*(3 + 3 - 7))*(-18*z - 13*z + 12*z).\nAnswer: 133*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 1262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -61. Let c be 1\/2*0\/1. Let u = -0.26 + -0.04. What is the biggest value in c, u, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*w + 4, 8 - 1 = w - 3*l. Sort w, -8, 4, -1.\nAnswer: -8, -1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 14*r = 59*j - 242, 0 = -2*r - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:00 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -60*v**2 + 962*v - 32. Let f be c(16). Sort f, 82, -2, 10 in decreasing order.\nAnswer: 82, 10, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one fifths of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13483*m**2 - 3*m + 3*m.\nAnswer: 13483*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j - 12. Suppose k - 19 + 0 = 0. Calculate the remainder when l(11) is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897 = -7*z - 6*z. Let w = 137 + z. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 92 = 4*j, -3*j - 87 = -3*g + 5*g. Let n = 58 + g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2610259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/17 + 20*b**3\/17 + 62*b**2\/17 - 176*b\/17 + 96\/17 = 0. Calculate b.\nAnswer: -4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q + 123*q + 28*q - 35*q + 0 - 5.\nAnswer: 128*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 >= 3581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 100, -35\/2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30\/29 + -35\/174. Let u be 0*(-3)\/(-30)*5. Sort t, u, -0.4.\nAnswer: -0.4, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582440559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4788 divided by -19.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403 (base 5) in base 10?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 2)*(-19)\/(-2). Let s be (7\/(-2))\/(3\/6). Let m = s + a. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1483.89643 + 0.10357. What is the smallest value in 0, 0.1, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let z(h) = h**2 - 4*h + 3. Let x be z(5). Suppose -x = -v - d. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 638*n**2 - 294.\nAnswer: 1276*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 - 5*b - 4. Let k be z(-3). Let c be ((-35)\/10)\/((-2)\/k). Let u = 16 - c. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1255*r + 1. Let m(h) = 5159*h. What is z(m(a))?\nAnswer: -6474545*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpmsbbspc. What is prob of sequence pcp?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 11*p**8\/336 + 49*p**5\/60 + p**3\/3 - 68*p**2. Find the third derivative of l(u) wrt u.\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 3*p**4 - 4*p**4 + (p - 4 + 4)*(4*p**3 - 17*p**3 - 3*p**3).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272153009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5027, -4954, -4881, -4808, -4735?\n\"Answer: 73*n - 5100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 3*u + 3. Let s be x(-3). Suppose c + s = 4*c. Suppose 4*f = -h + 32, -30*h = 4*f - 28*h - 36. Solve 4*b - f = c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318083657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6298*k - 44103. What is x(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -81.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1267*w + 1772*w + 274*w + 278292 for w.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3)\/((-18)\/(-27)). Let w(o) = -6*o + 3*o - 3*o - i*o. Determine w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 5*a - 4*a)*(-1 - 1 + 1) - 3 + 3 - a + 2*a + a - 2*a - 15 - 15 + 31 - 19*a.\nAnswer: -21*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - z + 6 = 0, -4 = z - 0*z. Suppose 0 = -q*g + 210 + 105. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6136 + 6136.0000047968. Round q to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 0, 3*z + 4*x + x - 4 = 0. Let u be (2\/(-3))\/(z\/(-27)). Suppose -2*r - 2 + u = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155084 bigger than 155086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s + 4. Let u(r) = 27*r + 9. Let j(f) = 9*k(f) - 4*u(f). Let x(y) be the second derivative of -y**3\/6 + 2*y + 30. Calculate x(j(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 1466.\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 58*x + 335. Determine o(-52).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 5. Let v be z(16). Let x = v + 25. Let k(y) = -y**3 + y**2 - 4. Let m be k(x). Let l(i) = i**2 - 6*i - 9. Give l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 173237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32782573 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:41 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from iiiiiibbiii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.35 + -0.45. Let x = 4 + u. Let m = -136.1 - -135.6. What is the closest to -1 in x, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4802 is divided by 137.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 + 14\/18. Let n = 69 + -66. Suppose -n*i + 14 = -b. Sort i, 1, -3 in descending order.\nAnswer: i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4962095009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179.012 + -0.012. Let y = p - 179.00000109. What is y rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.140501278 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 5. Let o(t) be the second derivative of t**3\/6 - t**2 - 121*t. Let b(f) = 7*o(f) - 2*x(f). Let h(j) = 3*j - 7. What is -7*b(g) + 4*h(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + 2 - 1 + 1 + (-6 + 1 + 3)*(-2 + 5 - 1))*(17*g**5 - 5*g**5 + 8*g**5).\nAnswer: -60*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316 and 12798.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 15 = -15*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/4)\/((-33)\/(-88)). Let m be (-2*t\/36)\/((-4)\/(-6)). Which is greater: 1\/102 or m?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1068 and 3382.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 9. Let s be ((-9)\/(-6))\/((-3)\/(-18)). Suppose -s*w - 16 = 29. Is q(w) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbllflffllflf. What is prob of picking 4 f?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -1, 9, 19?\n\"Answer: 10*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -46. Let i = v + -7. Let k be 0 + 3\/i*0. Is k at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 172*n**2 + 541 - 173*n**2 to x + a*n + q*n**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*y - 2 - 17, 0 = 5*v + 3*y - 108. Suppose -5*n + 30 = 4*o, -7*o = -4*o - 15. Solve -v - 3 = -4*p + n*x, x - 3 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*100\/(-8). Suppose -2*x - k = -7. Solve -3*t - 6 = l, 4*l + 3 = -2*t - x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*w = 142*w + 80 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31160166 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36886814 divided by 2.\nAnswer: 18443407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 440 in 0, 1, -5, -1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/12 + g**3\/6 - 2*g**2 - 5*g. Let t be r(0). What is the closest to 1 in 1, t, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z. Suppose 0 = -2*v - z*v + 312. Suppose v + 10 = 2*d. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98640 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 20 = c, -25*w + 24*w - 4*c + 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147973 + 78721747\/532. Find the common denominator of s and -59\/28.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 7 + 2\/(-1). Suppose -3*b - 8 = 3*f + b, f + 6 = -3*b. Suppose 3*r - 253 = 2*p, f*r - 5*p = -y*r + 268. Is 32 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -1673?\nAnswer: 166a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 3 + 3)*(-1207 + 1207 - 44*h + (1 - 2 + 2)*(-2 + h + 2) - h - 2*h + h - 3*h - h + 0*h) to f*h**2 + k + d*h and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.11 + 0.01. Let k = 25 + f. Let l(i) = -i + 12. Let h be l(11). Which is the biggest value? (a) 0.03 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 174 - 176 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 861\/130 + -90\/13. Do 0 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*a = -22, -228*a + 82 = -5*q - 231*a for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23757868 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 90?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37448 is divided by 462.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -15*k + 12*k + 5408, 0 = -3*k + 3*p + 5433. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53062 and 1851?\nAnswer: 159186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*i + 49 = 2*i, 0 = 3*v + i - 29. Suppose -22 = -2*w + 2*t, -3 = 3*w - 5*t - 42. What is the greatest common factor of w and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20c - -4961b?\nAnswer: 49828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-8) + -2 + (-897)\/4. Let q = -179\/4 + 873\/20. What is the common denominator of q and (-2)\/(w\/2625)*(-4)\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36b0 (base 12) in base 3?\nAnswer: 22110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + (sqrt(80)\/sqrt(10) - (sqrt(2) + (sqrt(2) - -2*sqrt(2)) + 5)))**2*-1*3.\nAnswer: -99 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i = -5*l - 105, 5*l + 41 = i. Suppose 2*j - 45 = -3*j. Let n = i - j. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from rryr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38325 and 231?\nAnswer: 421575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d = 0. Let n(t) = -t**3 - 6*t**2 + 3*t + 29. Let z be n(-6). Suppose 5*w - 4*y - 12 = 0, 5*y + z + 4 = 0. Solve 3*c + w*c = d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*a - 24, 5*a - v = 4 + 7. Suppose k + 0 = g - 5, a*g - 17 = 4*k. Put k, -5, -7 in descending order.\nAnswer: k, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-111918)\/(-85155) - (-24)\/(-14). Let q be -2*((-10)\/12)\/5. Put g, q, 3 in decreasing order.\nAnswer: 3, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let r(h) = -19150*h. Calculate q(r(i)).\nAnswer: 38300*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171941531.\nAnswer: 31, 863, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**3 - 22072*z**2 + 4*z + 375234?\nAnswer: -3*z**2 - 44144*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 19*o - 21 = 20*o, -4*f + 17 = 3*o. Let p(l) = 4*l**2 + 2*l. Let m be p(-5). Calculate the remainder when 87 is divided by (-5)\/(-1) + m\/f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + m - 1 + 3*m - 8. Let o(k) = 12*k - 102. Let u be o(9). Let r(i) = -6*i + 9. Let l(b) = u*r(b) + 7*x(b). Determine l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q + 3. Let d be u(-7). Suppose -c = -l + 6*l - d, -2*l + 3*c = -9. Suppose l*v - 10*v = -32. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 591 or 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*i - 26 + 53 = 0, b = 4*b + 2*b + 14*i - 108 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r*x**3 + 123*r + 62*x**3 wrt x?\nAnswer: -3*r*x**2 + 186*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1951297*t - 1951300*t + 22*t**3 - 12*t**3.\nAnswer: 10*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-962)\/(-222))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 + 1. Let s(w) = -9*w**3 + 5*w**2 - w + 5. What is -s(r) + 5*x(r)?\nAnswer: 4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -880, -2327, -4740, -8125, -12488?\nAnswer: -17835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 l when four letters picked without replacement from {l: 3, o: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/105906 and 97\/10752.\nAnswer: 189783552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 + 137370*b**2 = 0. What is b?\nAnswer: -27474, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 4*d**2 + d**3 + 6*d)*(-1 - d**2 + 1) + 47 - 2*d**5 + 0*d**5 - 45 + 25*d.\nAnswer: -3*d**5 - 6*d**3 + 25*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 + 64*l - 81*l to the form d*l + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = 0. Let j be (8 + -9)\/((-1)\/5). Let s(i) = -j*i + i + 3*i + r*i. Let d(y) = -7*y**2. What is s(d(x))?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o\/(o**21\/o))*o)\/(((o**(-1\/21)\/o)\/o)\/o)*(o\/(o*o**(-1\/28)*o*o*o))\/o**(-15) assuming o is positive.\nAnswer: o**(433\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -22477\/40 (b) 1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 32 = -45*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 340 = -40*p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*n - n**2 - 463*n**3 + 51*n + 4 + 461*n**3 to t + d*n + s*n**2 + m*n**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 2*j**2 + 0*j**2)*(-j + j - j**2)*(2*j + 6*j + 9*j).\nAnswer: -51*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132321741.\nAnswer: 3, 431, 102337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/295127 and -111\/350?\nAnswer: 14756350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1386, -2190, -3514, -5358, -7722?\n\"Answer: -260*t**2 - 24*t - 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 260*n + 264*n - 32134 = 0, -80413 = -5*v + 3*n. Is 34 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4\/10 - 11\/(605\/(-213873))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 55, 15?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, d: 1, v: 2, p: 2, n: 6}. What is prob of sequence dnqn?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzh when three letters picked without replacement from {g: 5, h: 1, z: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9620*o. Let b(j) = 2886*j. Let s(f) = -74*b(f) + 22*m(f). Let c(u) = 7*u. Calculate c(s(x)).\nAnswer: -13468*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995849698?\nAnswer: 2, 17, 19, 101, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 511, 1005, 1497, 1987, 2475, 2961?\n\"Answer: -p**2 + 497*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/2, -0.27, -1, 0.5, 135, -3?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2283*i + 3518*i**2 + 3569*i**2 + 2283*i - 7089*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 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: Suppose -3*h + 2*z = -h - 12, 5*h + z - 6 = 0. Suppose 11*v - h*v - 45 = 0. Solve 6*d + v*q = 3*d + 4, 5*d + 18 = 4*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.029 + -0.12958. What is h rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -48*i. Let p(m) = -7*m. Calculate p(d(y)).\nAnswer: 336*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5321\/6 - -1775\/2. Let i(w) be the first derivative of 4*w + 2 + s*w**3 + 3*w**2. Factor i(j).\nAnswer: 2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -4 + (203 - (-2 + -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 5, -25, 22 in decreasing order.\nAnswer: 22, 10, 5, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**3 + 11*s**4 + 17*s - 19*s + 11*s**3 as q*s**2 + m + r*s**4 + w*s + u*s**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in 7, -3\/5, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {v: 5, g: 9}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*((-2)\/(-4) - 1). Let l = 10 + -10. Suppose l*f + x = f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/22 + (5 - 228\/44). Suppose k*r = 3*c + 61, -r + 3*c + 8 = 4. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 9*y + 4 = 0. Are y and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1332312120?\nAnswer: 1332312130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20000211101 (base 3) to base 10.\nAnswer: -118702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -325*r**5\/12 + 275*r**4\/24 + 5*r**3\/3 + 220*r**2 - 5*r. Solve d(m) = 0 for m.\nAnswer: -2\/65, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4 = -o. Suppose c + o*c - 24 = 0. Solve 4*t = -p - 10, -2*t - c = 2*t + 2*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -44.8. Let m(n) = -n**2 + n + 2. Let w be m(2). Put 0.3, p, w in descending order.\nAnswer: 0.3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-6*-2*sqrt(228)\/sqrt(4))\/(sqrt(3) - -2*(sqrt(3) + sqrt(192)) - sqrt(972)))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (1*sqrt(300)*-3 - 4*sqrt(300)*-1))*-1)**2 + -5.\nAnswer: 10795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421656 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5480 = 656*g - 8952 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7273872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -3 - (2 - 0). What is the units digit of 3 - (-1)\/(f\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*w**3 - 8*w**2 - 88\/3 + 30*w.\nAnswer: (w - 44)*(w - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*a + 5*a**3 + 35*a - 2*a**3 + 12*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -9 - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 992\/9*i - 2\/9*i**3 + 52\/3*i**2 + 448\/3.\nAnswer: -2*(i - 84)*(i + 2)*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 1. Let m(l) = -l + 3. Let y = 858 - 856. Calculate y*h(j) + m(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)\/(6 + (-58)\/10). Let z = -2.65 + 0.65. What is the nearest to -2\/5 in z, 3\/5, o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 166623296*y. Let u(s) = 2*s**2. What is z(u(i))?\nAnswer: 333246592*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.2 + 16.9. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-90))\/(4\/6). What is the smallest value in 3, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2780575996?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*x = -62*x - 5*d - 22, -7 = -3*x - d. What is the nearest to 2\/9 in x, -1\/3, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 28. Suppose 0 = 3*j - g - 1. Put 0.1, j, 1\/2 in descending order.\nAnswer: j, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1)*2 - 5. Let t(p) be the third derivative of p**5\/30 + p**4\/12 + p**3\/6 - p**2. What is t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*h = -94*h + 9. Let q(p) = -35490*p**2 + 4*p - 17. Let r be q(h). Let d = -1964743 - r. Round d to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {d: 3, j: 2, y: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 5*r + 12, -4*v = -r - 10. Suppose -v*t = -3*t - 14. Let g = 17 + t. Solve 1 = -c - g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 61*l**4 - 389*l**3 - 599*l**2 - 270*l.\nAnswer: -l*(l + 1)**2*(l + 5)*(l + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31679 is divided by 7919.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 0*n - n)*(114*n - 41*n + 24*n) to l*n + s*n**2 + k and give s.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 9. Let s be q(6). Let f be ((-43)\/3)\/((-3)\/s). Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(95)\/sqrt(5) + (sqrt(38) - sqrt(190)\/sqrt(5))\/sqrt(2))**2 - sqrt(76)\/(sqrt(16)\/sqrt(4)*1 + sqrt(4)).\nAnswer: -sqrt(19)\/2 + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/9 - 500*i\/9 - 31250\/9 = 0.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3632*v**2 - 1006234*v + 1006234*v.\nAnswer: 3632*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(228\/9))\/((-1)\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*o - 92*o + 63 = 0. Let a be (-28)\/o + 18 + -7. Let t be ((-4)\/10)\/(2\/(-60)). Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:36 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {w: 1, j: 1, c: 4, s: 2, x: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 391896 or 3918949\/10?\nAnswer: 391896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*q + 4*u + 99, 3*u = q + 33. Let h = 141 - q. Calculate the greatest common factor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + 6281\/(-60). Let z = p - -105. Which is the third biggest value? (a) 0.3 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 0.06 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/3)\/v*((v\/v**(-2\/21))\/v)\/v assuming v is positive.\nAnswer: v**(-47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 7310 = -8*a. What is the hundreds digit of (a - -7) + -1 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y - 158 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-15)\/(-3))*-2. Let i(w) = -w**3 - 2*w**2 - 2*w + 5. Let l be i(c). Calculate the greatest common divisor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328 divided by -1328?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 18*h**2 - 17*h - 2. Let r be n(-17). Let b be (2\/3)\/(r\/(-12)). Solve -2*d - 34 + 12 = b*l, 0 = 4*l + d + 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*(2 + 0 - -14). Suppose 2*h - d = -6*h. What is the greatest common divisor of h and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -89*p - 58. Let a(r) = -30*r - 19. Let b(q) = -8*a(q) + 3*z(q). Differentiate b(i) wrt i.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12*m + 4 = -11*m, -3*o = 4*m + 28. Which is the fifth biggest value? (a) 0.3 (b) -0.2 (c) o (d) 1\/3 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 59*t = -272. Is ((-17812)\/t)\/((-6)\/24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50620 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10805?\nAnswer: 5, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8407989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p - 15 = 0. Calculate the remainder when 55 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-170))\/(((-128)\/224)\/(160\/(-112))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - y + y + (2 - 1 + 0)*(-3*y - 2*y + 4*y) - 9*y - 5*y + 9*y - 2 - 2*y + 2.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-14 - -6)\/(3 + -1). Solve f*n - 4*l + 6 = 0, 5*l = -0*l + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from mgqyd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1012147\/2 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/525)\/(1\/(-15)). Let a(s) be the second derivative of 5\/2*s**j - 1\/20*s**5 + 0*s**3 + 0 + 0*s**4 - 4*s. Calculate a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 16*q**2 - 70*q + 15. Determine m(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -420 or -419?\nAnswer: -419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = s - 0*l, 3*s + 5*l = 37. Let q(v) = v. Calculate q(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2088*n**2 - 593918 + 593918)*(5*n - 2*n**2 - 5*n) to y*n**3 + z + h*n + b*n**4 + a*n**2 and give b.\nAnswer: 4176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 122314629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-20 - -18 - -20) + -43?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8995 and 1776635?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-12))\/(26 + -296)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 349106*u - 2792818. Calculate d(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 + (-12 - -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 5. Let t be l(3). Let k(h) = -h + 10. Let s be k(11). Is t >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 5. Let s be w(4). Suppose 9*q = s*q. What is q rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824364 is divided by 117764.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5276 = -4*k + 2*k. Let p = -815 + k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24565060.\nAnswer: 2, 5, 13, 107, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = -t - 3*u, 18 = 2*t - 5*u. Let o(n) = n - 1. Let c be o(3). Suppose 7*q - c*q + 2*d = 17, 0 = -t*q - d + 13. Solve 0 = q*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 60?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 20. Let u = -2 - z. Suppose 11*d - 1259 - 281 = 0. Calculate the highest common divisor of d and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -33*x + 1. Let v = 590 + -591. Calculate r(v).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j - 32*j - 2*j)*(-2 + 2 + j) - 2*j**2 - 6*j**2 + 2*j**2 as t + f*j**2 + i*j and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 153196 and 0.6?\nAnswer: 153195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:50 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*k - 5*n, 3*n = -3*k + 5*n + 5. Let y = 2 - k. Let a be (-8)\/2*(y + -5). What is the highest common factor of 96 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, x: 9}. Give prob of picking 4 x.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-2))\/(((-7072)\/(-2312))\/26*(-17)\/12).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*a - 7474, -2*a - 6077 = -2*l + 8889. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 155, 349, 645, 1049, 1567, 2205, 2969?\nAnswer: 3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 63*g**3 + 550626*g**2\/5 + 240631428*g\/5 + 4583256\/5 = 0?\nAnswer: -874, -2\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1 - (-3 + 0). Let c(m) = -m**2 + m + 1. Let i be c(-1). Let g be i\/((-1)\/4*-2). Put g, 5, d in descending order.\nAnswer: 5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 3) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121667.\nAnswer: 7, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-4*-3)\/(sqrt(66)\/(sqrt(704) + sqrt(11))) + -4.\nAnswer: -4 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067192050 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733281, 1466564, 2199847, 2933130?\nAnswer: 3666413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198*n**4 + 926*n**2?\nAnswer: 4752*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110110100010111110 (base 2) in base 6?\nAnswer: 24005342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2. Let u = 13 - 11. Let p(l) = l**2 - u*l**2 + 2*l**2. What is q(p(j))?\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3408, -13646, -30714, -54618, -85364, -122958, -167406, -218714?\n\"Answer: -t**3 - 3409*t**2 - 4*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -49*t - 32. Let l(y) = -16*y - 11. Let k(j) = 11*l(j) - 4*v(j). What is the remainder when k(2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {p: 2, o: 4, y: 3, s: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 6*h**2 + 3*h + 13. Let k be v(5). Suppose -2*s = -5*l - 1662, -5*l + 2443 = k*s - 0*l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*u - 2*u - 19, u - 13 = -p. What are the prime factors of p\/10*60\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952128 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 9:53 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 11*o**2 + 5*o + 18. Give d(-11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4110 - 1204?\nAnswer: -10314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -289 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*a + 5*v, -4*v + 9 = -3*a - 4. Let t be 500*4 - 0\/a. Suppose t = -h + 5*h. Round h to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 4:15 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 130 - -18*4\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*c - 1\/2*c**2 - 21609\/2.\nAnswer: -(c - 147)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.194358*-0.032.\nAnswer: 0.006219456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 304774, 304739, 304704, 304669, 304634, 304599?\n\"Answer: -35*h + 304809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139775349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 429, 428, 425, 420, 413, 404?\n\"Answer: -r**2 + 2*r + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (1 - 0 - 0). Let j(t) = -3*t**3 - t + 2. Let k be j(x). Is 7\/k + (-51)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/6 + 2\/(-6). Let m(s) = s**3 - 19*s**2 - 292*s + 5580. Let h be m(18). Solve -i + t*i - 4*c + 4 = h, 4*i + 4 = -2*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2360230 and 23\/637900.\nAnswer: 23602300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 430029 (base 11) to base 10\nAnswer: 688158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 6*s - 3. Let i be c(5). Let p be 26\/8 + 2\/i. Let m(k) = -4*k**2 + p*k**2 - 2*k**2. Let q(l) = -2*l. Calculate q(m(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9382475113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.14, -5, -1\/12, -27\/5 in decreasing order.\nAnswer: 3, 0.14, -1\/12, -5, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/519 and 53\/4671?\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v - 569 = -11*v + 1811. Solve 15\/2*i**4 + 0*i + 20*i**2 - v*i**3 + 0 = 0.\nAnswer: 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4351960.45 rounded to the nearest one thousand?\nAnswer: 4352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(32\/(-6))\/2. Let h(u) = u - 9. What is h(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (288\/(-120))\/(22\/55)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154716, 155701, 156688, 157677, 158668?\nAnswer: 159661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -473*x + 59. Suppose -32 = -y + 5*y + 4*k, -3*y - 4*k = 26. Is n(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + g**3 + g**2 - 5*g**2 - 7334*g.\nAnswer: g**3 - 2*g**2 - 7334*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216456 a multiple of 604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -342455*1\nAnswer: -342455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*y - 1787 - 3245 = 0. What is the remainder when 109 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*r - 240 = 409*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*t**3 + 2*t**2 - 2*t + 6*t**3 + 11*t**3 as f*t**2 + i*t**3 + h*t + b and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4710347.\nAnswer: 19, 247913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b6 - fe7?\nAnswer: -f31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 2*n + 12. Let k be p(-3). Let s = 174 - k. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ccccccccccccmccmccc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7246282, 14492567, 21738852, 28985137, 36231422, 43477707?\nAnswer: 50723992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1500166 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0*k. Let r(f) = 61*f - 235. Let g be r(4). Let x be (-6 + g)\/(-12)*-4. Solve y - x = -k*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102212122121001 (base 3) to base 15\nAnswer: -84a091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74518 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 55365 = -5*f - 0*d, -4*f = -2*d + 44316. Let n be f\/22 - (-1)\/2. Let s = -208 - n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fwsstcy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 43 = -50 + 12 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgggggxgggggg. Give prob of picking 2 g.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)*l)**(6\/13)*(l\/((l**(1\/4)\/l)\/l*l))**(-23))\/(l**(-2\/19)*l*l**(1\/2)*l*l*l*l**(-4\/9)\/l*l**6) assuming l is positive.\nAnswer: l**(-435437\/8892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s + 18. Let f be 1*2*(-4)\/s. Let g = -11\/10 + 73\/30. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 5*h + 0*h + (1 - 1 + 2*h)*(4 - 6 + 0) + h + 2*h - h - 5 + 5 + h + h + h + 7*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7fd + 2?\nAnswer: -7fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286507527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2 and -9\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1, -0.031131, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32770 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4056 by -20266.\nAnswer: 2028\/10133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 23*q**2\/2 - 6*q + 1711. What is a(-2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 690\/221 + -14659\/13260. Calculate the common denominator of 73\/770 and q.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z + 70*z = 53*t + 4199, -2*t + 0*t + 0*t + 4*z - 142 = 0 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48676 + 34449. Let l = g + 8909. Let f = l - -95869\/18. What is the common denominator of 91\/20 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/21, -11, 3, 12.3, 3.4 in increasing order.\nAnswer: -11, -2\/21, 0, 3, 3.4, 12.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1334724 times -13\nAnswer: -1.7351412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.2. Let l = 16 - 13. Let n be 6\/((-55)\/(-10) + -7). What is the closest to k in 1, l, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000110713 rounded to six dps?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/3364190 and 107\/38351766?\nAnswer: 191758830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 - 25*n**2 - 30*n**2.\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 17, 35, 53, 71, 89?\n\"Answer: 18*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1244794?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 9:26 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2 - 23\/(-11)). Suppose -2*u + 8 = 0, 0 = -4*z - u + p + 11. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77179466.\nAnswer: 2, 7, 13, 41, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*z = -68, 40*g + 27 = 41*g + 3*z. What is the greatest common divisor of 87 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:36 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1373 - 68. Calculate the highest common divisor of n and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*w - 4, 2*y + 5*w + 10 = -18. Let v(u) = -u**2 + 9*u - 9. Let j be v(6). Let h = j + y. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*-2*(-7)\/231.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (3 - 15 - 2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 6, -57\/5525?\nAnswer: -57\/5525","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/12)\/(310\/2511). Let w = 329\/90 - g. Calculate the common denominator of w and -95\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 5*l + 80 = 2*l - 11*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 20154?\nAnswer: 60462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 3*v**2 + 13*v + 15. Let o be t(6). Let r(p) = -p**3 - 17*p**2 - 53*p - 32. What is the units digit of r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54238, 54237, 54236, 54235, 54234?\n\"Answer: -o + 54239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 570635 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 51*x**3 + 0*x + 15 - 56*x**3 - 15*x**2 + 5*x = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 15*j - 5*a - 301674, -2*a = -18. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2350 in -1\/3, 35, -0.06?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 2*g. Suppose 1 = g*h - 5. Solve -h*l + 3 = -0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 661, 668, 689, 730, 797, 896, 1033?\n\"Answer: m**3 + m**2 - 3*m + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0)*(-2)\/(-18). Let l = -2 + 1.6. Which is the third biggest value? (a) q (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.066143 rounded to three decimal places?\nAnswer: -2.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-11 - -5 - 1). Suppose -d*j - j = -49. Solve 4*z - 3*g = j*z - 9, 19 = 4*z - 3*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 700 - 699.9. Let b = -0.3 - -1.3. What is the closest to b in 2\/7, n, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/(-1) - 8. Let s = -2\/25 - 44\/75. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 29 + 2*s - 13.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17498 = 3*h - w - 5079, h + 2*w = 7535. List the prime factors of h.\nAnswer: 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 30*o + 7. Let v be s(5). Suppose -4*x + v = 37. Let n = 66 - x. What is the remainder when n is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:38 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1128, -2545, -4254, -6255?\n\"Answer: -146*d**2 - 979*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 364 = -y, -4*m - 2*y + 344 = -6*y. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = -0*m. Let u = 3 - m. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38 and -203.36160401?\nAnswer: 241.36160401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*-9794.\nAnswer: 1664.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n - 88. Let p be 1304\/n - 4\/22. Let j = p - -34. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(-293*o + 326*o - 219*o) - o + 3*o - o.\nAnswer: -371*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1910370402.\nAnswer: 2, 3, 106131689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/126 + (3\/15)\/((-14)\/(-155)). Let n(z) = -2*z - 7. Let r be n(-6). Sort r, -5, -6\/5, s in decreasing order.\nAnswer: r, s, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u. Suppose q = 3*q. Suppose q*c = -c - 4. Let n(g) = -6*g. Determine c*x(l) + 5*n(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 9) to base 8\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/78*(-14)\/56?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9158.\nAnswer: 2, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -3. Suppose -15 = -6*n + n. Calculate the remainder when y is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:02 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(50) - (sqrt(56)\/sqrt(4))\/sqrt(7))**2 + 4.\nAnswer: 24*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 + 612 = 3*d. Suppose 5*b - d = i, 0*b + 4*i = 2*b - 106. What is the greatest common divisor of b and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - 123.2.\nAnswer: -140.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 943.\nAnswer: 28290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -206. Let k = -107 + v. Let g = k - 63.9934. Round g to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c + 29 = 3*w, -3*w - 3*c = 6. Solve 0 = -w*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h. Let o be a(1). Let d(i) = 2*i**2 - 6*i - 1. Let j(c) = -c**2 + 5*c - 1. Let b(s) = 2*d(s) + 3*j(s). List the prime factors of b(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 9*t - 6. Let x be a(-4). Sort 4, x, 2 in decreasing order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 at least 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 9*t**2 + 3. Let u be d(9). Let o be (12\/(-3))\/(u\/(6\/2)). Suppose -2*i = -5*k - 17, 0*k - 1 = 2*k + 5*i. Sort 0, o, k in descending order.\nAnswer: 0, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*u = -18, 17*u = 4*o + 12*u - 4. Let t(r) = r**3 - 7*r**2 + 3*r + 12. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuueueuueuu. What is prob of sequence uee?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -9, -22, -39, -60, -85, -114?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.293 - 9.3. Let j = 125.993 - n. Let o = -126.5 + j. Do o and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + -0.3. Let l be ((-20)\/14)\/((-78)\/273). Let n be (-1)\/((-3)\/(-15)*l). Which is the second smallest value? (a) s (b) 0.13 (c) 4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:26 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 33 = 9. Let s = l + 10. Suppose -5*g + 10 = 3*c + 1, s*c - 3*g - 41 = 0. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*w - 33, 15*w = 14*w - 3. Is 16 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9953708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -452 (base 12) to base 6\nAnswer: -2542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00514 to 4 dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*j = 22, -3*a - 110 + 107 = 5*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2 (b) -4\/13 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 235. Suppose -3*h = 1009 + 29. Let i = s - h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(615\/(-18)))\/(78\/2210)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/192 and -13\/8.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jemss. Give prob of sequence es.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 2*g - 3*g)*(3 - 1 - 3) - 78 + 78 + 7*g + 2*g + 0 + 0 + 2*g + 0*g - g + 2*g + 3*g - 3*g in the form d + j*g and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 59 = -4*d. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 7*w**2 + 3*w**2)*((w - w + 2*w)*(0 - 2 + 1) + 0*w - 5*w + w).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4949 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 + 16*x + 16. Let d be m(-1). Suppose -3*c + 22 = -d*b + 8*b, 3*c + 2*b = 20. Solve 48 = -c*u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -343 + -62. Let j = 415 + q. Solve -8*o + 6*o = j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 9 + 2 - 8*m to the form c + n*m and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/165 (b) -2\/5 (c) 1\/5 (d) 10\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 86*i**3 - 185 + 62*i**3.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 11*h - 20. Let y be g(-9). Let p = 0.02 + -0.22. Sort 1, -5, p, y in decreasing order.\nAnswer: 1, p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -29*f - 120. What is the remainder when g(-19) is divided by 5 + (-2)\/(6\/(-129))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/4*(9 + -10 + 5). Sort 2, -11, n, -1.\nAnswer: -11, -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 238689 and 1193438\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-17)))\/(t\/t**(-7)*t) assuming t is positive.\nAnswer: t**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.4371 to one decimal place.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-196))\/((-45)\/(-40))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 27*b**2 + 358*b + 1879. Calculate c(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = c, 2*c - 7*c = 20. Suppose -o + 5*k = 1865, o + g*k + 1368 + 532 = 0. Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eduuuyduueueeedu. What is prob of picking 1 d and 1 e?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2441, -2859, -3997, -6215, -9873, -15331, -22949, -33087?\n\"Answer: -60*s**3 + 2*s - 2383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihihi. What is prob of sequence ihih?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eko. Give prob of sequence ok.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30312180 rounded to the nearest ten thousand?\nAnswer: 30310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/9 + 9532*t**2\/9 - 161807*t\/9 + 494780\/9 = 0.\nAnswer: 4, 13, 9515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6700000*d. Suppose -28 = -12*c + 5*c. Let n be a(c). What is n rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3 - x**2 - 4 + 4 + 14*x - 5. Let s be d(6). Suppose -v = -3*v + s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231.1 + -213. Let o = p - 18.836. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3434 = 24*d - 5782. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44745338?\nAnswer: 2, 11, 31, 65609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1144 and 32.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**3 - o**3 - 4*o**3)*(6 - 18 + 0).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1269857953 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g*g**8)\/(g**(2\/7))**(-2\/5)*((g*g*g**(-1)*g*g)**(15\/11))**(2\/35) assuming g is positive.\nAnswer: g**(3984\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 751, -2, 11, 1, -285 in descending order.\nAnswer: 751, 11, 1, -2, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + n + 1. Let p be 3 + (3 + 0)\/(-1). Let z be g(p). Put -2\/29, z, 3\/5 in ascending order.\nAnswer: -2\/29, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730130997?\nAnswer: 3, 83, 1667, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-2 + 2 - 4 - (27 - (4 - -21)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25540515 divided by 15015?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2 + 796926*i + 13547453 = 0.\nAnswer: -796909, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -148 (b) 0.5 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 6330 = 1674. Let w = 392 - i. Solve d = w*t - 17, 3*d = 7*d + 5*t - 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**3 + 1. Let c(n) = 1. Suppose 253*t = 259*t + 36. Let r(y) = -3*y - 6. Let d(o) = t*c(o) - r(o). What is a(d(v))?\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**6\/120 - g**5\/15 - g**4\/4 + 5*g**3\/6 + g**2 + 5*g. Let r(t) be the first derivative of l(t). Calculate r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*n. Suppose 5 = n*m - 1. Solve 0 = -4*q - 8, -o - m*q = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-84)*(-534)\/(-89).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose 3*q - 3 = 4*g - 29, 5*g + 5*q = 15. Suppose n*m = -g + 101. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/4 + (1 - 1). Solve -c + n = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432314 is divided by 177?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -10*p. Solve -5*h + 5 + 5 = p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -172*a**2 + 178*a**2 - 3 - 6 - 3*a. Let w be y(-15). Suppose 2*o - 5454 = -4*i, -i - 5*o = -0*o - w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 25*c - 63. Let w be k(22). Suppose 0 = -4*i - w*z + 1402, -162 = -i - z + 189. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -44, -2, 28.\nAnswer: -44, -5, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*s = 4, -4*s = -13 - 3. Suppose 4*l - 4 = -4*r, m*l = -5*r + 7 + 1. Which is the smallest value? (a) 0 (b) l (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(3*(-88)\/11)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4867 = 138*w - 96*w + 115*w for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -42*t - 4. Let q be v(9). Let w = q - -571. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -729\/4 - -176. Is 0 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 28*i**2 + 27*i + 16. Let o be d(-27). Suppose o*a + 3 = 243. Calculate the lowest common multiple of a and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t + 4*m - 2233 = 0, -3*t = 2*m - 1339. Suppose 0 = 6*z - t - 821. Does 39 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 34817967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - (-10 + 14)) - (-1 - 30).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-168)\/(-16))\/(-7))\/((-6)\/(-40)). What is the tens digit of (-2)\/a - (-4 - 4769\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.2, -17, -54, -0.24 in increasing order.\nAnswer: -54, -17, -0.24, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1506 (base 13) to base 11.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 809139522 a multiple of 927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 <= -52308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7906 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1489138 and -1489145 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**4 + h**3 + h**2 + h - 1. Let f(t) = -9*t**4 - 50*t**3 - 199*t**2 + 5*t - 5. Let b(k) = f(k) - 5*q(k). Find the third derivative of b(s) wrt s.\nAnswer: 24*s - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 505360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 1\/30*b**5 + 0*b**4 + 0*b**3 + 0*b + 0 - b**2. Let r(j) = 4*j - 4*j - 2*j**2 + 3*j**2. Determine g(r(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/26 - (-35784)\/117. What is the greatest common divisor of r and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) 14\/9 (b) -4\/3 (c) -336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7400016 - -0.74. Round l to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 12*i + 181592 - 181592.\nAnswer: -3*i**3 - 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17120 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-160)*(-980)\/(-7546)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 14) in base 11?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -603.6 times -1?\nAnswer: 603.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/184 and ((-83)\/(-1)*(2919\/2898 - 1))\/(-3).\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81317 and 308167?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3805891*t**2. Let g(f) = 5*f. Determine y(g(w)).\nAnswer: -95147275*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*q - 59, j - 2*q = 424. What is the lowest common multiple of 10 and j?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92714 is divided by 5399?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/113 + 110\/339. Factor 0 + 0*s**2 + y*s**3 + 0*s.\nAnswer: s**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1010111?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*f + 6, 5*i + 5*f - 31 = 9. Suppose -4 - 5 = i*s. Which is greater: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q\/(q\/q**(-13)*q)*q)\/q*q)\/q)**(32\/3))**(-2\/85) assuming q is positive.\nAnswer: q**(256\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c - 12*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19558 + 0.21. Let t = 0.015 - j. 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: Collect the terms in -205 - 220 + 429 - 4593*c.\nAnswer: -4593*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 56. Let g = a - -49. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-4)\/((u\/(u*u**(-5)))\/(u*(u\/(u*u\/(u*(u\/(u\/u**7))\/u)*u))\/u*u*u))*((u\/u**7*u)\/(u**(-1\/10)\/u))\/(u*(u**(2\/5)\/u)\/u)**(2\/17) assuming u is positive.\nAnswer: u**(-1671\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88383 - 22099 + 31*l - 37*l - 22082 - 22104 - 22098.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243988 is divided by 1321.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + -2*((2 + -1 + sqrt(1584) + sqrt(1584) - (sqrt(1584) + sqrt(1584)*-1 + 4))**2 - (-5 + 6*(sqrt(1584) + 1))).\nAnswer: -12686 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 42*y = -156. Is 29 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*n + 5, 4*m - n - 1 = 2*m. Suppose 5*a + 71 = 3*y + 6*a, m*y = -4*a + 77. Suppose 3*u = 68 - y. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1691 + -4?\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25088.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-1120)*10\/2*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202059285 divided by -1.\nAnswer: 202059285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367781 to the power of 1\/2, to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39380441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-2))\/((-16)\/64). Let u(d) = -31*d + 4. Let a be u(b). Let z = -85 - a. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 7*h**2 - h + 2. Let a be g(-7). Suppose 3*b - 5 = 1. Differentiate b*k**4 - 10 - 5*k**4 + a*k**4 wrt k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minus -30?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52.76 and 26.\nAnswer: -1371.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186.87 - 1.13. Let j = k + 189. Let o = 0.13 - 0.05. Sort -3, -2, j, o in ascending order.\nAnswer: -3, -2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 55. Let d be (0 - (-6)\/(-44))\/(v\/(-24)). What is the nearest to 1 in 2\/7, 4, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17325, 34646, 51963, 69276, 86585, 103890, 121191?\n\"Answer: -2*r**2 + 17327*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -237106646 to the nearest 1000000.\nAnswer: -237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*j - 717*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Let v(s) = 190*s - 2453. Let o be v(13). Solve -r*a = 8 + o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 14*l - 33. What is z(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 - 5*h + 4. Let s(w) = w**3 - 5*w**2 + 2*w - 4. Let t be s(5). Let v be g(t). What is the greatest common divisor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -42685.\nAnswer: -19\/42685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 + 2. What is c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*p + 12, 4*x - 2*p - 3466 + 3418 = 0. Solve -5*w = -32 + 2, -3*y - x = -w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 3*n + 3*n - 2*n + 3 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52854.01 tonnes in nanograms?\nAnswer: 52854010000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**2 + 5*l + 117. Is p(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Suppose r*k - 10 = 5*k. Is 206 - 3\/(k - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:40 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**3\/3 + 15*a**2 + 34*a - 724. What is n(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Let g = -1 + y. Suppose 316 = -4*q + 3*z - 24, g*z - 344 = 4*q. What is q rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 - -19.6. Let h = s - 15.6. What is the closest to -0.2 in 5, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*q**2 + 0 + 78*q**3 + 4*q - 175\/4*q**5 + 40*q**4 = 0. What is q?\nAnswer: -2\/5, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22400 (base 15) to base 13\nAnswer: -3a74c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241832259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 12:39 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1010 and 111403.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 j when three letters picked without replacement from aaaajjaaaajjaajajaa?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*a - 34*a - 399 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.89 - -0.11. Let h = o - 3. Let k be (-2 + (-26)\/(-12))*-2. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**3 - 6*g**3 + 7*g**3 + (2*g + g - 2*g)*(3*g**2 - 6*g**2 + 2*g**2) - 2*g**3 + 2 - 2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/54*3*-3. Find the first derivative of -779*p**4 + 2*p**3 + 282*p**i + 84 - 2*p**3 + 354*p**4 wrt p.\nAnswer: -572*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8249?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c. Let v be y(0). Suppose 2*i = -v*i + 10. Suppose 0 = -2*k + 4*u + 26, 0*u + 2*u + 23 = 3*k. Calculate the lowest common multiple of i and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -935 (base 15) to base 11\nAnswer: -1617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30326 or 7858?\nAnswer: 7858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 - 1460*h**3\/3 + 2020*h**2\/3 + 6340*h\/3 - 2296 = 0. What is h?\nAnswer: -123, -2, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59792, 120059, 180312, 240545, 300752, 360927, 421064, 481157?\n\"Answer: -g**3 - g**2 + 60277*g - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*f + 7 = -0, -2*v = f - 5. Suppose 0 = 5*q + v + 6. Which is the smallest value? (a) 3 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 226812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z - 12. Let d(u) = -u**2 - 6*u - 6. Let t be d(z). Let n(k) = k**2 + 2*k**2 - k**t. Let q(y) = 2*y. Give n(q(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 5*l**2 + l - 2. Let p be w(5). Suppose 0 = t - 15 + p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2868 is divided by 1006.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 10 = 5*n, -2*s + 26 = -n - 3*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1*-3 + (454 + -9 - 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) 79 (d) 4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20)*-10)\/((-17)\/(-2))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0 + m + 4 + 6. Let x = 6 + -2. Suppose i - 6 = -x. Let l(s) = -2. Give i*t(h) + 11*l(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:59 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - z + 4 + 10 = 0, 2*y - 3*z = 13. Suppose 3*t + 38 = 4*f - 42, -4*t = -y*f + 100. Suppose 0*v + 2*v - f = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {c: 1, z: 4, k: 1, j: 1, g: 6, s: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -30. What is the smallest value in 2\/11, -2.9, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288 + -340. Let j be 23\/4 - 13\/y. Let z(k) = 6*k**3 - 3*k. Let v(x) = 5*x**3 - 2*x. What is j*z(o) - 9*v(o)?\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-10)*5\/(-2). Suppose o - j = 3*q, 5*o = -q + 1 + 62. Suppose -o = 4*s - 0*s. Is -3 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/25)\/((-10)\/(-150)*6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 837078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 3. Let a(r) = 2*r - 4. Let s(c) = 2*a(c) + 3*g(c). Let k be s(-1). Let b(j) = -j**2 + j + 22. List the prime factors of b(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + j**2 + 6. Let d(g) = -7*g**3 + 4*g**2 - g + 14. Let i(p) = -4*d(p) + 9*r(p). Calculate i(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a - 16. What is the tens digit of h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnjjnjjjnjnnjjjjv. Give prob of picking 2 n and 1 v.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12195 (base 10) to base 8\nAnswer: -27643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 73\/20511 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2 and (20\/(-66))\/(4\/(-24))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(107163\/88479) - 52.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from hhykvpy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38121 = -1964*j + 49696 - 3365 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -2 + sqrt(11) + 3.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 886890 to the nearest ten thousand.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16*p**3 + 2*p**2 - 2*p - 13. Let z(c) = -17*c**3 + 3*c**2 - 3*c - 14. Let g(y) = -3*h(y) + 2*z(y). What is the derivative of g(s) wrt s?\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j + 31 = -4*r, -5*j = 4*r - 41. Let g be ((-18)\/21)\/((-2)\/14). Factor 3*f**3 - 3*f**3 + j*f**3 - 3*f**4 - g*f**2.\nAnswer: -3*f**2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145016 (base 8) to base 10.\nAnswer: -51726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233768*a**2*l + 2*a - 40450*l wrt a.\nAnswer: 467536*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7206\/66 + 1 + 1*(-4)\/22. What is the highest common factor of z and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -23\/12*g**4 + 0*g**3 + g**2 + 8*g + 0*g**7 + 0*g**5 - 11\/112*g**8 + 0 + 0*g**6. What is the second derivative of j(a) wrt a?\nAnswer: -660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11516377, 11516376, 11516375, 11516374?\n\"Answer: -t + 11516378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 1\/13, 3, -322.34?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7136 and 10.\nAnswer: 35680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(1\/19)*j)\/j*j*j**(-40) assuming j is positive.\nAnswer: j**(-721\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(n\/n**(-2\/11)*n)))*n*n)\/n)\/n*n)**(-6\/29)\/(n**(2\/9)*n*n*n*n**5*n*n) assuming n is positive.\nAnswer: n**(-29240\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 3*p**2 - 3*p - 2. Let a(m) = -m**3 - 2*m**2 + 3*m + 3. Let f be a(-2). What are the prime factors of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51225899*u**5 - 8114*u - 1531.\nAnswer: 1024517980*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 5)*(0*q**2 + 3*q**2 - q**2) - 20*q**2 + 51*q**2 - 203*q**2.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in -4\/5, 3, 1\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/45 - (-5)\/25.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 27*d**5\/20 - d**3\/2 - 144*d**2 - 10*d + 6. Differentiate s(z) wrt z.\nAnswer: 81*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -643?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24648 is divided by 1071?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-18)*4\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153545 is divided by 2996.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/5*r - 2*r**2 + 10*r**3 - 8\/5 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 71*i**3 - i**2 - 2*i + 2. Determine s(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/55 - 46\/165. Which is the closest to -1? (a) -4\/11 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h + 34. Let d be q(8). Let a(w) = -63*w - 59. Is 47 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p + 60. Let d be b(-4). Suppose -18 = -5*z - 2*v - 9, d = -4*z + 4*v + 24. Determine i, given that 1\/4 + 3\/8*i - 1\/8*i**z + 0*i**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1.2, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7608, 4, 1, -5 in ascending order.\nAnswer: -7608, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 9*b - 4. Let m be ((-4 - -5) + 1)*-4. Let l be c(m). Solve -f = -3*n, l*f + 8 = -5*n + 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -4 (c) -0.0041 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2788397 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 6) to base 10\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -954*z + 330. Let w be a(-2). Is 2239 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -5\/863298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 5, i: 5, w: 3, y: 5}. What is prob of sequence ikyi?\nAnswer: 125\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15808 is divided by 7827?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 11 = -h, p = -15*h + 10*h - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 7*u**2 + 10. Let c be f(2). Which is bigger: c or -49\/81?\nAnswer: -49\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*z + 8. Suppose -8*j + 10 = -3*j. List the prime factors of -15*(j - (-12)\/z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7324517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3\/6 + t**2\/2 - t. Suppose -2*y + 5*y = -a - 3, 3*a = 4*y - 9. Determine u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, -0.1448, -0.062?\nAnswer: -0.1448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4.3.\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 1 + 1)*(0*d + 4*d - 5*d) - 3*d**2 - 2*d**2 + 4*d**2 - 2*d**2 - d**2 + 2*d**2 + (2 + 2*d - 2)*(-12*d + 8 - 8).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 13552.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*s = -s, s - 4 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113.17 - -112. Let m = -11.83 - -12. Let w = m + l. Which is the smallest value? (a) 0 (b) w (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 848 = 0. Suppose u = 4*s - 4. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98514.\nAnswer: 2, 3, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*k + l + 22, -15 = 3*l. Let t be k*(-2 - -2) + 18. Let w be 129\/27 + 4\/t. Let j(p) = -p + 7. Determine j(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*7*672\/840?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(-12)\/6. Let y(w) = -2 - 2*w**2 + 4*w**3 + 4*w**3 - 2*w**3 - b*w**3. Let f(u) = -7*u**3 + 5*u**2 + 5. Calculate 2*f(g) + 5*y(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -66*6\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 12, 9, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2. Let q(z) be the second derivative of -z**3\/3 + z. Give s(q(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 4) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.585 in -1, 10, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -105?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -129*v**2 - 658*v + 10. Calculate l(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 * -106.38\nAnswer: 5.21262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + -1.40132. What is q rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/17)\/((v\/v**(-3))\/v))\/(v*v*(((v*v**(-1\/4)*v)\/v)\/v)\/v*v\/(v\/v**(-6\/7))*v*v))\/((v\/(v**(2\/5)*v))**(-1\/7)\/(v**0)**(9\/8)) assuming v is positive.\nAnswer: v**(-1643\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = -223 - 1937. Let p = f - -159. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -166343, -3 in descending order.\nAnswer: 3, 1, -3, -166343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*a*h**2*o + 2*a*h**2 - 99*a*h + 10*a*o - h**2*o - 55*h*o + 3447 wrt o.\nAnswer: 10*a*h**2 + 10*a - h**2 - 55*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -22*z. Let t(l) = 14*l**2. Calculate t(r(i)).\nAnswer: 6776*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209900 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3765*n - 162. Let s be p(-6). Let b = s - 13229. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*y = 17 + 6, 5*s = -2*y + 27. Solve 7*z**5 - 98*z**2 - 3*z**s + 694*z - 100*z**3 + 32 - 682*z - 18*z**4 = 0.\nAnswer: -2, -1, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 26, -0.7, -0.3, 0.5, 9\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 8*d - 12*d - 3*m, -d - m = -42. What is the lowest common multiple of d and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15847 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/10 - 11*u**4\/24 + 7*u**2. Let t(p) = 2*p - 2. Let j be t(3). Let g(h) = -2*h**2 + 4*h. Determine j*w(l) + 11*g(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1663176 and 0.1.\nAnswer: 166317.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*t + 10. Let n(m) = 8*m - t + 8*m**2 - 7*m + 12*m. Let o(b) = 4*b**2 + 7*b - 5. Determine -6*n(l) + 11*o(l).\nAnswer: -4*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.004619963 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2007*w + 2003*w - 10*b = 0, 13 = 5*w + 3*b - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10) + (-32812)\/54795. Let n = q - 3397\/21075. What is the closest to -0.1 in 0.1, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249*j**3*r**2 + 113272*j**3*r - 3*j**2*r**3 - 4*j*r**2 - 2*r wrt r.\nAnswer: -498*j**3 - 18*j**2*r - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 b, and 1 c when four letters picked without replacement from ovbcvooboobabkb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 4817*r + 91884 = 0. What is r?\nAnswer: -4836, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -157 + -1?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 171?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the fifth biggest value in -4, 19, -0.2, 5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 21*k + 100. Give o(-24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -30. Suppose 4*j + 4*z = 40, -3*j + z + 34 = -t*z. Let w be j\/(-22)*2*-1. Let h(x) = x**2 - x + 1. Let v(c) = -c + 1. Give w*h(s) - v(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -43, 1, 3 in decreasing order.\nAnswer: 3, 1, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31515, -31516, -31517, -31518?\nAnswer: -31519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + a**2)*(0 - 4 + 0 + (0 + 0 - 2)*(-2 + 2 + 1)) in the form p*a + x*a**2 + l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + (sqrt(2448) - ((sqrt(2448) + 4 - sqrt(2448)) + 3)) + 4 + -5)*4)**2.\nAnswer: -3072*sqrt(17) + 40192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000492658 rounded to 6 dps?\nAnswer: -0.000493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**3 + 22*r**2 - 8*r - 11. Give j(-5).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 0*v**5 + v**5 + (-6*v**2 + 35*v - 35*v)*(-v**3 + 0*v**3 + 0*v**3) + v**5 - v**5 - v**5.\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9 - -1)\/(((-81872)\/102)\/56)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 2*m**3 + m**3 + (2*m**2 + 8*m - 8*m)*(2*m + m - 2*m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 2, k: 3, o: 1, x: 1}. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52363999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.03 - -0.03. Let j = 61.514 + -0.354. Let q = j + n. Round q to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2 - 35*a + 4*a - 1 - 64*a. Calculate the remainder when l(-2) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175915196 by 6.\nAnswer: -87957598\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1552, 1993, 1320, -467, -3368, -7383, -12512?\nAnswer: -18755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862586.\nAnswer: 2, 331, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -473790 divided by -170\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**2 + 2*q - 235. Let a(s) = -s. Determine a(v(c)).\nAnswer: 8*c**2 - 2*c + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v + 1\/6*v**3 - 5\/2*v**2 + 0. What is the units digit of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 66. Suppose -6*n + 5*n + d*l = -202, -l = -1. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(3*n**3 + n**5 - 3*n**3) + 0*n**5 + 2*n**5 + 0*n**5 + 9*n**5 - 11*n**5 + 12 - 2.\nAnswer: -n**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f - 4 = 0. Let q(w) = 6751*w + 4. Let y be q(f). What is y rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9834405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259115221 + 5571.\nAnswer: 259120792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-52)\/18)*350\/350.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36 and -29\/70863.\nAnswer: 70863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, u: 6}. Give prob of picking 1 u and 1 c.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:16 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1091.421s to days.\nAnswer: 0.0126321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376273, 1505039, 3386299, 6020053, 9406301?\nAnswer: 13545043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000798033 rounded to five dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*d - 9. Let f be (-1)\/(0 - 1)*d. Solve 0 = -2*z - 0 + f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10 + 3*a + 2*a - 6*a. What is the units digit of t(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {y: 2, n: 2, q: 7, k: 4, w: 5}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 v, and 1 n when four letters picked without replacement from ynnnvnvny?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/3)*l*l)**(-2\/137)*(l**(-7\/2)*l*l)\/l**3)**(-2\/13))**(1\/20) assuming l is positive.\nAnswer: l**(287\/8220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*f - 3*f + 4*f)*(2 - 3 + 2) + 4*f + 3*f - 2*f + 0*f + f + f)*(3 - 3 - 2*f**2) in the form q*f**2 + x*f + d + y*f**3 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 6 - 4 - -23 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 1, -23, -69, -143, -251?\n\"Answer: -m**3 - 2*m**2 + 5*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 43*j - 8 - 44*j - 13. Let h(u) = 2*u**2. Determine x(h(a)).\nAnswer: -2*a**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 16321 (c) 3 (d) 0.5 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g + 2*f - 5, 5*g = -4*f + 1. Let l be (-8)\/g + (-8 - -5). Let s = 6.2 + -6. What is the closest to s in 1\/2, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2\/7 (c) 0.17 (d) 8 (e) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 42*a - 174. Let l be m(5). Suppose 2*o = -5 + 13, 0 = -4*k + 5*o + 92. Suppose 8 - k = -2*u. Solve h = 3*w + l, 2*h - w - u = w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.5, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Do s and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.3 - 14. Put u, 1\/3, -3 in decreasing order.\nAnswer: u, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/((-3)\/4). Let h = 0.05 + -2.05. Let w = 4 - 4.2. Which is the closest to h? (a) -1\/6 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = -3*z - 10*m, 36 = -z - 6*m. Solve z = 2*v + 3*d, 3*v + 6*d = 7*v - 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/((-6)\/(-2)) + (3 - 0). Solve 3*o = -g + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 >= 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2323 + 2517. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 - 6 - (11 + -29 + 17 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 + 45*z\/4 - 11\/4 = 0. Calculate z.\nAnswer: 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3725 + -3720. Put 4, 2\/9, w, -172, 1 in ascending order.\nAnswer: -172, 2\/9, 1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*r = -0*r + 13, -1 = -q + 3*r. Let p = 371 + -375. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/75, -153, -3, -9?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v - 15, 4*l + 5*v - 69 = 0. Solve 0 = 2*w - 5 + l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12))\/(((-3675)\/672)\/(-175)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, n: 10}. What is prob of picking 4 v?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -72*y + 58. Let k = 18 - 10. Let f = -5 + k. Solve -f - y = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2442491 and 0.004.\nAnswer: 9769.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 14922820371.\nAnswer: -14922820369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2144, 4277, 6402, 8513, 10604, 12669?\n\"Answer: -k**3 + 2*k**2 + 2134*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 3 (c) -2\/5843 (d) 2\/9 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*d**5 + d**4 - 421*d**3 + 453943*d**2?\nAnswer: -4980*d**2 + 24*d - 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let y = -12 + 17. Suppose -f = k - 4, y = 2*k + 3*f - 6. Let t(q) = q + 1. Give k*h(a) - t(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2*o + 1. Let i be p(-3). Put -2, -1, i in decreasing order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 8*c**3 - 33*c**2 + 66*c**2 - 33*c**2.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + (-669)\/108 - 4. Let i = 10 + l. Let q = 7 - 2. Which is the third biggest value? (a) q (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*a + 2*a. Let k(q) = -1 - 4 + a + 3*q. Is k(7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b + 3 - b**2 - 4*b**2 - b**3 + 0*b**2 + 7*b**2. Let v be 17\/4 - 5\/20. Determine p(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/33 - 80\/(-44). Suppose -q + 5 = 3*m. Let s(y) = 8*y**3 - y**3 - 3*y + 1 + y + y**2. Calculate s(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -9 - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820 divided by 1.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -454347?\nAnswer: 454345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20452 is divided by 341?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*u = -27, 5*u = 2*p - 31 + 8. Suppose 4 = p*g - r + 3*r, -5*r = -20. Let a = -29 - -29. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 1 + 20*p + 10 + (-3 + 2 + 3)*(-1 + 5*p + 3 - 7*p) as v*p + s and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2733448?\nAnswer: 2, 341681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*f - 4*a - 9, -2*f - a = 9. Let v be 3\/4*(-8)\/f. Find the third derivative of 4*s**2 + 5*s**2 - s**v - 3*s**3 + 11*s**3 wrt s.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 473285007 and 2193165?\nAnswer: 2366425035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3 - (-5 - 0)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/78 + ((-2)\/(-16))\/(264\/2816).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 2 (c) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 23 = -4*w, 5*w - 2*w - 5*v - 26 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45904 and -3336.\nAnswer: 153135744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 72, 2, 4\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4279 (base 11) in base 8?\nAnswer: -13024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 1 - 7. Suppose -2*f + 6*f = 5*n - 30, -4*n + 24 = 2*f. What is the lowest common multiple of n and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*i**3 - 84*g**2*i**2 + 2*g*i**3 + 25*i**3 + 2*i**2 wrt g.\nAnswer: -4*i**3 - 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -972, -4 in ascending order.\nAnswer: -972, -81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 9 in increasing order.\nAnswer: -7, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3728943*z**4 + 2725483*z.\nAnswer: -44747316*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108235 less than 2?\nAnswer: -108233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, c: 13, l: 3}. What is prob of sequence cg?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 830 and 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, 2440 in increasing order.\nAnswer: -5, -4, 1, 2440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 12. Suppose 0 = 3*n + p*w - 3 - 0, -4*w = 8. What is the derivative of -1 + 2*s**3 + n - 3*s**3 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 35*a**3 + 63*a**3 - 30*a**3 + 7.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158949 and 4872?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11382509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 3740 = 47*h. Calculate the highest common divisor of h and 880.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t - 814554 = -12*t. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-572)\/220 + 3 + 0)\/(-3). Which is the nearest to 2? (a) 2\/5 (b) -5 (c) k (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409532003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 7\/17 in increasing order.\nAnswer: -6, 7\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62796 and 2916.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61662.97 plus -1783.56?\nAnswer: 59879.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 325 = 0. Suppose 88 = 7*c - 3*c. Calculate the remainder when z is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-15 - -28 - 12 - 9) + 8 + -52).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 11. Let w be a(5). Suppose -w*c = -14 - 2. Let p be ((-21)\/(-2))\/(3\/4). Solve -p + 2 = c*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257270079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Suppose a - 5 = -x, -2*a + 14 = x + j*x. Let k = 11 - a. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 63. Calculate the highest common factor of 602 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535097567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*y = t - 25, -4*y + 45 = -5*t. Let h be (75\/(-18))\/t + -1. Is h greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -352*n**5\/5 - n**3 - 13769*n + 1929. Differentiate l(g) with respect to g.\nAnswer: -1408*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36324 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7183460 and -3?\nAnswer: 21550380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s*s\/(s\/((s*s**13)\/s))*s)\/s)*s*s**(2\/15)*s**24\/(s\/(s**(-2\/61)*s)) assuming s is positive.\nAnswer: s**(10157\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 585684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n - 137 - 125 = 134. What is the closest to -25 in 0.5, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) - (-9 - (-39)\/4). Let q = 0.6 + -0.6. Let r = 0.1 - 1.1. Which is the closest to 0? (a) k (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-4) + 27\/(-36). Solve 5*z - 24 = -5*n + 11, -i*n = 5*z - 31 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58368 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-2) + (-189)\/(-126).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211201221122 + 112?\nAnswer: -211201221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*(3 - -1). Let i(y) = -11 - y**u + 3*y + 4 + 4*y. Suppose 8*c - 25 = 3*c. Determine i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**4 + 52*g**3 + 176*g**2 + 266*g + 133. Let a(f) = -f**3 + 2*f**2 + 2*f + 1. Let v(c) = -2*a(c) - j(c). Let v(k) = 0. Calculate k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.2 - -0.8. Let o = -18 + t. What is the second smallest value in 5, o, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 19. Let d(j) = -j**3 - 4*j**2 - 6*j. Let f be d(-4). Suppose 3*m + 5*y + f = 0, 16 = -2*m - 11*y + 8*y. Calculate u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -120*s - 1807. Give d(-9).\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:09 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(-21*r**3 + 21*r**3 + 7*r**4)*(-11 - 7 + 31) + (-4 + 4 - r)*(4*r**3 + 0*r**3 - 5*r**3).\nAnswer: -181*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + 2*sqrt(19))**2 - (sqrt(171) + (sqrt(171) - sqrt(171)*3)) - -2*(sqrt(1216) - (-3*sqrt(1216)*-4 + sqrt(1216)))**2).\nAnswer: 23*sqrt(19) + 350309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232.99133 - -233. Round f to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 12, -2*f + 5*u + 17 = -f. Let s be (-42)\/7*4\/(-6). Let d(r) = r - 2*r - r - 1 + s*r**2 - r**3. Give d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111100 - -1000110101110110?\nAnswer: 1001001000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -501 divided by 1\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 82. Let q be v(30). Let y(l) = l**2 + 3*l + 2. Let s be y(-4). Suppose 14 = q*x - s*x. Calculate the greatest common factor of x and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*x + 4. Let t(y) = 3*y**3 + y. Let i(z) = -4*z + 13*z**3 + 12*z - 5*z. What is x*i(j) + 9*t(j)?\nAnswer: j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12972*b**2 - 8404*b wrt b?\nAnswer: 25944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 3 - a**3 + 10*a**4 - 18*a**4 + 9*a**4 - 14*a**3 + 2*a in the form p*a**2 + r*a**4 + d*a + g + w*a**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*u - 11 = 0, -2*z + 0*u = 4*u - 14. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232 + 3717\/16. Let t = m + -1\/16. What is the closest to -0.1 in 1, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6*(1 - 5). Suppose z*i + 0*i = -3*c + 52, 3*i = -5*c + 88. Suppose 5*n + c = 0, 5*n + 103 = b - 53. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 17. Let y be d(-19). Let u(t) = -3*t**3 - 7*t - 7. Let h(p) = -p**3 + 2 + 0 + 2*p**3 + 2*p. What is y*h(i) + 6*u(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 132, -1, -36 in decreasing order.\nAnswer: 132, -1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 - 43*z + 392. What is p(7)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**8\/o))\/(o*o**(-5\/7))*(o**(-6)\/o)\/o**(7\/5))**(-48) assuming o is positive.\nAnswer: o**(24672\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30217.71 weeks in days?\nAnswer: 211523.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*u - 39 = 0, 4*u - u + 42 = 4*i. Calculate the greatest common factor of i and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 77205493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 10 = 4*j, 0 = 4*r - 9*j + 12*j - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 1*(2 + sqrt(2736)) + -2)**2*-1.\nAnswer: -10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46101 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k = -57 + 95 + 78 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4 + -9535?\nAnswer: -9619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/17699 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h + 109. Let s be m(13). Which is greater: -43 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q - 47*q = -4*n - 331, 5*q - 3*n = 537. What is the lowest common multiple of q and 55?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 16*j + 144 - 136. Solve 18*q + j = 63 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 + -228. What is the second derivative of 69*a**j - 71*a + 10153 - 10153 wrt a?\nAnswer: 828*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 3 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15.042. Let z = 0.0419885 + o. What is z rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4585 + 4585.6. Which is the nearest to 0.2? (a) 4 (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 70 = -2*v - 15*v. Let i(p) = 39*p + 189. Calculate i(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -29, 5 in decreasing order.\nAnswer: 8, 5, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose 18 = -3*u + 2*a, -2*a - 3 = 3. Let x be (-6)\/u - (54\/8)\/9. Solve 12 = -p*d - x*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 0)*(-5 + 5 - f)*(-2 + 2 + f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.34, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 14*v**2 - 10*v**2 - 5*v + 12*v**2.\nAnswer: 16*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*a**3*d**2 - 2*a**3*d - a**2*d**2 + 8*a**2 - 2*a - d wrt d.\nAnswer: -306*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -65. Suppose 2*f + 2*a = -18, 8*a = 5*a - 9. Let v be (1 + (-3)\/f)\/((-1)\/(-18)). What is the highest common factor of v and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*t - 4*t**2 - 1 + 383*t - 11*t**3 - 195*t + 4*t**2 - 3*t**2 to w*t + i + r*t**3 + h*t**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -3. Suppose -267*f - 23 = -244*f. Suppose o + 4 = 1. Sort o, t, f in increasing order.\nAnswer: t, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 4*l**3 - l**3)*(3*l + 3*l - 5*l + (-1 + 1 - l)*(3 - 2 + 4)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5790503909?\nAnswer: 17, 9661, 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*o - 41 = o, 9 = -r + o. Let i(b) = -b - 7. Give i(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2728 - -8110\/3. Let c = 25 + u. Solve 1\/3*g**4 + 2\/3*g**3 + 0*g + c*g**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11877, 46508, 104225, 185028, 288917?\n\"Answer: 11543*h**2 + 2*h + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 13. Suppose 5 = -0*t + 5*t. Let w = -3 + t. Is w greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:52 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 12.856. Let x = z - -0.044. Which is the second smallest value? (a) -5 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001518185 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = 24 + 24. Calculate the least common multiple of (y - -2)\/(-6 + (-595)\/(-100)) and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16800853879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:25 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29531990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from xbbbzxxibzt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -1\/60*l**5 + 5\/24*l**4 + 0 + 5*l**2 + 1\/3*l**3 + 0*l. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**8\/168 + c**7\/105 + 4*c**2 + 9*c. Let g(n) be the first derivative of f(n). Factor g(j).\nAnswer: -2*j**4*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (54 - -11) + (-72 - 49)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222110012020121 - -11?\nAnswer: -222110012020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 42 = 4*d, d - 4 = -2*i - 0*i. Let w = -12 + 19. Suppose 0 = 3*b - w*b - 3*r + 79, 5*b - 4*r = 122. Calculate the remainder when b is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 7*v**5\/60 - 71*v**2 + 16. Let z(m) be the third derivative of 0 + m**2 + 0*m**3 + 0*m - 1\/20*m**5 + 0*m**4. Give w(z(j)).\nAnswer: 63*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 2\/3, 1.4, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1\/19 (c) 4\/5 (d) -2\/33 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*q - 883*q - 905*q + 3888*q - 864*q - 945*q.\nAnswer: -390*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + t + 8634*t**2.\nAnswer: 8634*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202120 - -102?\nAnswer: 202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2327028 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 6. Let s = 0 - x. Suppose -5*c - s - 23 = n, -4*c - 18 = -n. What is the closest to 0 in c, -1\/5, -1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 9*o - 3. What is x(-13)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -44. Suppose 0*x = -b - 4*x - 52, 5*b - 4*x = -260. Let y = s - b. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - o = 6, -2*k - 3*o - 1 = 7. Let u(a) = -2*a**k + a**2 - 14*a**2. Let q(m) = 68 + 75 + 2*m + 67 - 210. What is u(q(g))?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*t**5 + 4*t**2 + 2601*t?\nAnswer: 860*t**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -288179733 - -288231240.00075. Let s = 51521 - v. Let a = 14 - s. What is a rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/9)\/t**(-9))**(-9))**(-30) assuming t is positive.\nAnswer: t**2460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41150 - -225.\nAnswer: 41375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 + 5*p. Let w = -1 + 3. Let f(b) = -3*b**2 - 4*b + 1. Let y(t) = w*x(t) + 3*f(t). Let k be y(-3). Sort 5, k, 2\/7.\nAnswer: k, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 23. Let k be 24\/84 + 262\/14. Let n be x(k). Suppose -3*c - 4*q = 13, -c - n*q - q - 19 = 0. Sort -3\/4, 5, c in increasing order.\nAnswer: -3\/4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*a - 3*a + 5*a)*(-5*a**2 + 2*a**2 + 2*a**2) - a**3 + a**3 + a**3)*(7*a**2 - 2*a**2 - 3*a**2).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -4737. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*r + 88 + 900. Let v(c) be the first derivative of -c**3\/3 - 13*c**2 + 3*c - 2. What is the smallest common multiple of v(r) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2444a7c?\nAnswer: -2444a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2327 - 2326.966. Which is the second smallest value? (a) r (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5385*n**2 - 12*n - 2025092?\nAnswer: -10770*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:38 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 8. Let w(j) = -4*j. Let u be w(6). Let x = u - -12. What is the remainder when 5 is divided by g(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 - (2 + sqrt(200))**2) + ((sqrt(154)\/sqrt(7))\/sqrt(11) - sqrt(2))*-2.\nAnswer: -204 - 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7)*p**(1\/5)*p)\/(p**2\/p**(-1\/8))*(p**(4\/3)\/(p*p**(-6)*p))\/(p**(2\/7)*p**(-5\/4)) assuming p is positive.\nAnswer: p**(4873\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 = 3. Let b(c) = 3*c - i*c - 4*c. Let w(d) = d - 4. Let j(h) = -7*h + 20. Let s(a) = j(a) + 5*w(a). Give b(s(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -205*p - 2253. Let n be f(-11). Which is the closest to -1? (a) n (b) -273 (c) 0.2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24691, 24631, 24571, 24511, 24451, 24391?\nAnswer: 24331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/30 - f**2\/5 + 2*f. Let b(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2642*h**2 + 5272*h**2 - 133*h**4 - 6*h**3 - 2606*h**2 + 132*h**4 - 9 in the form p*h**3 + f*h**4 + q*h**2 + w + a*h and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, j: 16}. Give prob of sequence iiii.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*-2 + sqrt(231)\/(1*sqrt(11)))\/((sqrt(7) + -2*sqrt(7))*-5*6).\nAnswer: -13*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7128.705cm in meters?\nAnswer: 71.28705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkgkgggggkgggggkkk. What is prob of sequence kg?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 1 + 1)*(3 + 6 - 7).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 1.61857.\nAnswer: 1.71857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnmxnqgwxmngnqg. What is prob of picking 2 q and 1 m?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from odddddododdddd?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 77 + 4\/((-12)\/39). Sort -3, t, -6 in descending order.\nAnswer: t, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dll when three letters picked without replacement from {d: 3, l: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -20749998*k + 4. Let w = -15 - -13. Let o be v(w). Suppose 0*y = 5*y - o. Round y to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13735926.\nAnswer: 2, 3, 254369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -4*z - 4*y, z + 4*y = 0. Suppose 0 = n - 11 + z. Let i = 26 - n. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/7 - 270*u**4\/7 + 2578*u**3\/7 - 2034*u**2\/7 - 368*u + 2304\/7 = 0.\nAnswer: -144, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 44)*18 - 8.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(4\/5))*g*g*(g**(1\/4)*g)\/g)**(-2\/3))**36)**(-35) assuming g is positive.\nAnswer: g**1218","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/20)\/((45\/1035)\/((-6)\/(-23))).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) + (-2994 - -2987) + -21*(-2)\/(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67023 + -46116. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 15*n - 19*n + 27950, -j = -n + 9315. What is j rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x + 1)*(-1 + 38 - 9) + 3*x + 12*x - 4*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:42 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33114, -132487, -298114, -529995, -828130, -1192519, -1623162?\nAnswer: -2120059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 15*d - 314 = -5*u - 26, -6*d = -3*d - 0 + 9 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4\/5 + 417*z**3\/5 - 432*z**2\/5 - 1668*z\/5 + 336 = 0.\nAnswer: -140, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 22*c**3 - 40*c**2 + 24*c.\nAnswer: -2*c*(c - 2)**2*(2*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thgh when four letters picked without replacement from {f: 5, h: 3, g: 2, t: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -635, -1729, -2823, -3917?\n\"Answer: -1094*p + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let s(w) = 2*w**2 + 2*w + 1. Determine -s(v) + 3*t(v).\nAnswer: -2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 66?\nAnswer: 65.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:42 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 + 228. Let d(q) be the third derivative of 0*q - 1\/20*q**5 - r*q**2 + 0 - 2*q**3 - 1\/2*q**4. Factor d(n).\nAnswer: -3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 705266796.\nAnswer: 705266796.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 + 3 = 0. Let g be 2\/9*l*-18. Let r = g + 19. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, c: 2, z: 2, m: 3}. What is prob of picking 2 z and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + h - 34. Let g be a(-13). What is the greatest common divisor of 37 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/24*(-1356)\/6328.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.35\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 10. Suppose 0 = -5*r + n*r - 45. Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(135) - -4*sqrt(135)) + sqrt(135))\/sqrt(9))\/(sqrt(24)\/(sqrt(648) - -4*sqrt(648) - sqrt(648))).\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9130641671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from qcyyydrdy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**5\/10 - j**4 + 79*j**3\/6 + 91*j**2\/2 + 6812. Let i(r) = 0. What is r?\nAnswer: -13, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(18\/4)*(-6)\/(-2). Let q(a) = -4*a - 2. Let t(p) = -9*p - 4. What is k*t(o) - 5*q(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:49 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*y + 1816, -28*q = -30*q - 2*y + 1822. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31738 take away 4?\nAnswer: -31742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23706 and 15876?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*l = 19, -164*l - 23 = -13*c - 168*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*w**5 + 5*w**4 - 1760*w**3 + 14*w**2 + 3016626 wrt w?\nAnswer: -7920*w**2 + 120*w - 10560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2*(-1)\/2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 4*f - 13*h - 102 = -3*f, 12 = -2*f - h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8420848669 to four decimal places.\nAnswer: -0.8421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 + 28 = 0. Let d be (-9)\/(-15) + k\/20. Calculate the least common multiple of 10 and (0\/(-3) - d)*-11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1742*m*o**5 + 2*m*o + 3*m - 6 wrt o.\nAnswer: -34840*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0487 and 3?\nAnswer: -0.1461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - 0.8. Let s = 7387 - 7385.79994. Let g = s + c. What is g rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/78 and -94\/2055?\nAnswer: 53430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.67 - 4.67. Let o = -15 - -9. Let t = -32 - -98\/3. Put t, a, o, -3 in descending order.\nAnswer: t, -3, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13342 - 630*g**2 + 13342 + (-25 + 25 + 12*g)*(2*g - g + g).\nAnswer: -606*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3611*d**3*i**2 + 5*d**3*i - 1392*d**3 - 35*d**2*i**2 - d**2*i + 2*d*i + 23*i wrt i?\nAnswer: 7222*d**3 - 70*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -5 - (6 - -1). Let m be ((-10)\/(-25))\/(2\/s). Let g(v) = 3*v**2 + v + 2. Let z be g(m). Solve 2*f = -f - z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 7 + 3 + -9 + 7 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37470642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (2 + -1)\/(1\/(-11)). Solve -5*x - 15 = 3*b, 3*b + d = 2*x - 6*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1799 and 1285?\nAnswer: 8995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1048, 954, 804, 604, 360, 78?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2632.5021 and 0.063382.\nAnswer: 2632.565482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 345?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 + 660*c**4 + 14784*c**3 - 1059184*c**2 + 6453888*c = 0 for c.\nAnswer: -98, 0, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1218 - 1212.86. Do 1\/2 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*2\/(-1302)*-1603. Let c = i + -9\/31. What is the third smallest value in -2, -6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1700630 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*l - 30, 0*l + l + 17 = 3*i. Let n = -189 + 197. What is the tens digit of ((-157)\/(-3) - l)\/(n\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 + 1684\/14. Suppose 0 = 5*w - 14 - 56. Let s be (-3)\/2 + 189\/w. What is the highest common factor of u and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 11268721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(13) + 2 + ((sqrt(208))**2 + sqrt(13) - sqrt(13)) + -3.\nAnswer: -2*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*o + 21*o + 36*o + 62 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(77) + sqrt(77) + sqrt(77)*-3 + sqrt(77)) + sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77) + -2*1*sqrt(77))\/((2*sqrt(121)*2)\/(1*sqrt(539))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 0. Let w(b) = -5*b**3 + b**2 + b. Suppose 0 = -3*o + 5*h + 2, -4*o + 2*h = -3*h - 1. Let j be w(o). Solve -5*r + n = j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2 + (0 - 2 - 2)*(-3 + 1 + 3))*(-4*s**2 - 2*s**2 - 9*s**2).\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 14. Let c be ((-57)\/(-38))\/(6\/(-64)). Let j be 20\/c - 5\/(-4). Solve 5*k + 5*w - i = 0, j = -5*k - 2*w + 7 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*4\/(12\/9). Let p = c + 12. What is k in -4*k - 3*k**2 - 2*k + k - k - p = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from svvvvssv.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven halves of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f, -3*f + 1 - 4 = -4*u. Let w be u\/5*1\/2. Let g = w + 9. What is the greatest common divisor of 36 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 12 - (-4 + (10 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.5307 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101011 (base 2) to base 16.\nAnswer: 2eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z - 47983*z**3 + 47960*z**3 + 8*z.\nAnswer: -23*z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - 4*r - 3*r)*(2 - 4*r - 2)*(-7 + 3 - r + 3) to the form v*r**3 + w*r**2 + i + z*r and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111111000110001100 (base 2) to base 3.\nAnswer: 10221100200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -462, -681, -900, -1119?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2*z - 42 = 0, -3*g = 495*z - 508*z + 273 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25 - (-740)\/(-37)) + (-184)\/54 + -2. Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 505120\/704*96\/14 and 328?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:37 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from {g: 1, b: 18}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 12543884?\nAnswer: 12543885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**0*j)*j)**30\/(j\/(j\/j**2*j*j*j))**3)\/(j**(5\/3)*j*j*j**(-5\/3))**(3\/10) assuming j is positive.\nAnswer: j**(312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 28 = -9*w + 11*w, 0 = 2*w - 4*h - 28. Suppose -w*z + 55 = -29. Sort -3, 4, z.\nAnswer: -3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((4\/8)\/((-12)\/288))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 11*s - 6. Let j be m(-4). Solve -j*w = -2*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 21. Suppose -5*f + 3 = -7. Let j(h) = -2*h**2 + 4*h - 7. Let p be j(f). Let m be z(p). Solve -t + m*t = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010011111111100 (base 2) in base 11?\nAnswer: -97192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (85 - 81)\/(7\/((-7)\/10)). Are t and 2\/137 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296436 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - w = 115, 2*w + 221 = 4*b + 3*w. Let d = b + -20. Let i(s) = 2*s + 1. What is the remainder when d is divided by i(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 26.\nAnswer: -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 207\/36 - (-2)\/8. Let b(f) = -f + m*f - f. Let p(t) = t**2 + 8 - 10 + 2. Calculate p(b(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18419449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 88*p**2 - 7. Give x(-88).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**4 + 340*h**3 + 330*h**2 - 340*h - 335 = 0.\nAnswer: -67, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -10. Let b(z) = -z**3 - 3*z**2 - z - 1. Let g be b(l). Solve -20 = 7*w - g*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.3 (c) 1 (d) 83 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 20, 40, 78, 140?\n\"Answer: m**3 + m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 5)*(-3 + 2 - 1) + 7 + 12 - 3)*(3 + 0 - 2)*(-p + 1 - 1) - 7 - 4*p + 0*p - 3.\nAnswer: -18*p - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 112*y**2. Let r(s) = 2254*s. Calculate r(v(u)).\nAnswer: 252448*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = 4*x, 7*w + 26 = 5*x + 3*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = k + 18488, -2*t + 58875 = 5*k + 151230. Let d = -480197\/26 - k. Calculate the common denominator of d and -57\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s - 1. Let r(i) = 7*i + 14. Let w(u) = -p(u) + r(u). Let t be w(-6). Which is the biggest value? (a) -1 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4 = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 3*k + (-2 - 2*k + 2)*(0 + 3 + 2))*(-22*k + 21*k + 3 - 4)*(-4*k + 3*k + 2*k).\nAnswer: 9*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5321211 divided by 23.\nAnswer: -231357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6412 + 264\nAnswer: -6148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2270 + -4531\/2. Let g(c) be the second derivative of 0*c**4 + 0*c**5 + 2*c + 0*c**3 - y*c**2 - 1\/30*c**6 + 0. What is the derivative of g(p) wrt p?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1303\/8 - 164. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1979*p**4 - 3*p**3 + 3*p**2 + 40226 wrt p.\nAnswer: 7916*p**3 - 9*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 72256?\nAnswer: 144512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(80) + sqrt(80) - (sqrt(80) - 4*sqrt(80)*1))**2.\nAnswer: -80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344133 take away 17?\nAnswer: 344116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (8\/(-6) - (-5)\/15). Let r = b - 7. Let w(x) = -x**2 - 1. What is w(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272560 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/4, 4, -4 in decreasing order.\nAnswer: 4, 1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c = 2*c + 70. Solve -2*a = -y - 6, -c = -4*a - 2*y - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + w - w + 0*w - 2*w**5 + 0*w + (-w - 2 + 2)*(4*w**4 - 4*w**4 + 2*w**4) - 2*w**5 + 0*w**4 + 0*w**4.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.7*-3.\nAnswer: 65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 0, -3*j = 4*c - 0*c. Let t(m) = 16*m + 122. Let f(p) = 3*p + 24. Let r(n) = 11*f(n) - 2*t(n). What is the least common multiple of r(c) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t - 58 + 51 + 7 - 1.\nAnswer: -29*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 2. Let f(w) = -w + 2. Let b(x) = -5*f(x) + 4*t(x). Let v be b(5). Let q(u) = 4 + u + 1 - v. Give q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 5*w - 3. Suppose 4 = 5*n - 11. Give z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 3*b)*(-7 - 6*b + 1 + 4).\nAnswer: -6*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(((-333)\/(-1110))\/(-6*(-2)\/140))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/20067344 and 27\/38830.\nAnswer: 100336720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7027591 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*y = 987, 31*p + 4*y + 1632 = 36*p. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958 is divided by 306?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23718610?\nAnswer: 2, 5, 2371861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 742672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -50. Find the third derivative of -22*r + 9*r**2 + 22*r - z*r**6 wrt r.\nAnswer: -1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 3*c**2 - 14*c + 42. Determine z(5).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**3\/11 + 730266*m**2\/11 - 2190840*m\/11 + 1460568\/11 = 0. Calculate m.\nAnswer: -121714, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -95*a + 4736. Determine s(47).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 13 = 30*v + p, 3*v - 5*p + 30 = 0. Let u(q) = 9*q**3 - 5*q**2 + 8*q - 5. Let h(k) = 4*k**3 - 2*k**2 + 4*k - 2. What is v*h(f) + 2*u(f)?\nAnswer: -2*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -334 - -514. Let k(r) = -r**3 + 10*r**2 - 6*r - 23. Let a be k(9). Suppose 3*c = 2*s - 102 + 17, 0 = 4*s - a*c - d. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 - (-4 - 1)) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/8, 2\/9, 0.3, -341 in decreasing order.\nAnswer: 0.3, 2\/9, -1\/8, -5, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*r - 20. Suppose -r*j + 6*j = 24. Calculate the remainder when 8 is divided by (20\/8 - 3)*j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*o**4 - 287*o**3*s**2 - 1188*o**2*s**2 + 3*o*s + 3*s wrt o?\nAnswer: -360*o - 1722*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7675 divide 3004110868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*g - 1, g + 2 = -m + 2*g. Let n = 4 - 2. Suppose n*r - 2 = 5*r - z, -4*r = 4*z - 8. Which is the third biggest value? (a) 2\/13 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27242 divided by -63.\nAnswer: 27242\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41392598720177 and -1.7.\nAnswer: -41392598720178.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 2 - 2. Suppose -2*y - y - 3*i - 12 = 0, i = 3*y. Let r(l) = 6*l + 8. Let b(s) = -2. Let h(w) = 5*b(w) + r(w). Determine y*h(u) - 5*k(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29 - 69.\nAnswer: -69.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -17. Let x = -19 + 18.5. What is the second biggest value in 1, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(288) + 2*sqrt(288) + -3)*-5 - (sqrt(24) - -3*2*sqrt(24) - sqrt(24) - sqrt(24))\/(sqrt(540)\/sqrt(5)).\nAnswer: -15 + 535*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*9\/(-36)*3*(-154)\/7.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000100 + 1001011101001?\nAnswer: 1010111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6168513002.\nAnswer: 2, 17, 229, 792257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -466861*m**5 + 5*m**3 + 29842297*m**2.\nAnswer: -28011660*m**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8.5 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -11*y**4\/4 - 109*y**3 - y**2 + 126. Let q(a) = a**2 - a. Let k(n) = -f(n) + 2*q(n). Find the third derivative of k(g) wrt g.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -890*f + 5351. Calculate x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516285 is divided by 801.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947861.\nAnswer: 3947861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.29 - 2.49. Let p = f - 31. Let q = 0.7938 - p. What is q rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 19*n - 238. Let y be v(0). Is y less than or equal to -239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*p**3 - 2*p**3 + 15*p**3 + 7*p**3)*(-6 - 2 - 1)*(8*p + p + 2*p) to s*p + d*p**3 + q*p**4 + z + v*p**2 and give q.\nAnswer: -2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -91*n**2. Let m(v) = -2*v. Calculate r(m(w)).\nAnswer: -364*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762335970?\nAnswer: 2, 5, 47, 167, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 6524*b**2 + 4900032*b + 698538816.\nAnswer: 2*(b - 1692)**2*(b + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 216 - 228 = 0. Suppose -4*z + g = 123, 2*z + g = -c*z - 125. Sort 1, -5, 4, z in descending order.\nAnswer: 4, 1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o + 1. Let t(b) = -4*b**3 - 6*b**2 + 6*b + 7. Let w(q) = 5*j(q) - t(q). Let k be w(4). Solve -5 = -5*r + 5*l, -k = 5*r - r + 2*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364 = s + 3*v, 0*s + 4*s = 2*v + 5442. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -4 (c) 4845\/8 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.1 - 9.1. What is the closest to a in 5, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.079255828 - -15.079255508. Let z = -15 + d. Round z to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3640366902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 117, 98, 43, -60, -223, -458?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(170)\/(sqrt(20)\/sqrt(2)))**2 + (5*(sqrt(153) - (1*sqrt(153) - sqrt(153))))\/(sqrt(99)\/sqrt(99)).\nAnswer: sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 145*w - 244*w = -93*w - 45, 5*w = -3*x + 39 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11352\/7 + -1614. Calculate the common denominator of (4\/(-18) - 143090\/(-26199)) + -5 and z.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 p, and 1 w when four letters picked without replacement from pzzzpzppwzpzzpz?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 23*c + 320 = 837. Calculate the remainder when 447 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 330*o**2 - 1592*o + 1592*o + (0*o - 2*o + 4*o)*(4*o + 0*o - 3*o) in the form x*o**2 + i + r*o and give x.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-477)\/(-27) + -27)*(-6)\/8. Solve q + r = -8, 3*q - 5*r - 1 = j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*a**2*x - 6*a**2 + a + 12317*x - 1 wrt a?\nAnswer: -80*a*x - 12*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18593339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3243 + 3243. Solve -g - 5 + 14 = 2*t, -5*g + 15 = x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15060.162 months?\nAnswer: 1.2550135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 15) to base 10.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 - 3*x + 4*x**2 + 5*x - 2. Let m(t) = -t**2 + t. Give -3*m(i) + v(i).\nAnswer: 2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 574376282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 368 = 60*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -77257730 rounded to the nearest one hundred thousand?\nAnswer: -77300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 941, 1883, 2825, 3767, 4709?\n\"Answer: 942*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83960 is divided by 58.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d - 5*z = 40, 0 = 4*d + 4*z - 64. Solve 5*l + 5 = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 82. Let h be d(21). Let z = -142 + 143. Which is the nearest to z? (a) 1\/3 (b) h (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6988*v**3 + 1402*v**3 + 1378*v**3 + 1380*v**3 + 1395*v**3 + 1400*v**3.\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -3740183?\nAnswer: -374017a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 + -123. Let o be 0 - (-2)\/(3 + -1). Suppose 0 = -3*w - w - 2*h + 10, 2*h = -w + o. Solve 0 = 5*t + 4*x - n, 5 - 14 = t - w*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -679 + 678.999997568. Round u to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Let h = i + 0. Suppose -5*r = -h*c + 2*c - 95, 95 = 5*r + 4*c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 20 = 5*g - 6*g, 2*p = -3*g + 35. Suppose 2*r - 2 = -2*t - 4, 5*r = -t + g. Is -4 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25269915?\nAnswer: 3, 5, 11, 153151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000334 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27535 divided by 5507\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209497539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = c + 90, -148*c = -4*o - 150*c + 108. Solve 48*x = o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 25\/1036024 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from {b: 2, d: 3, w: 1, h: 6, u: 7}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -897 + 5345\/6. What is the common denominator of j and -47\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1056\/(-8800))\/(42\/(-20)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 16*3\/(-9). Suppose -2*z - 3*p + p = -2, z = 4*p - 14. Which is greater: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86220\/11 or -7838?\nAnswer: -7838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426777 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1226305, -1226307, -1226309, -1226311, -1226313?\nAnswer: -1226315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 4*w - 5. Let r = 6 - 1. Let d be q(r). Suppose -5*j + 202 + 248 = d. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 11. Let m be f(-19). Let b = 36 - m. Find the third derivative of 7*j**3 - 4*j**2 + b*j**2 - 2*j**3 wrt j.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/6*((-30)\/6)\/(-5). Let s = 0 + 5. Solve -y - s = x*b, 3*b + 0 = -3*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -124.126 and -4.415?\nAnswer: 119.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylyyyyllyy. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.006, -5\/2, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 172\nAnswer: -5\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 13199686\nAnswer: -2\/6599843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (83 + -26) - -73?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 29325.\nAnswer: 16\/5865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2528 + 2357.97. Let t = -170 - f. Let p be 7\/14 - (-1)\/(-3). What is the second smallest value in 3, t, p, 6\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c + 0?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -3, 0.5 in descending order.\nAnswer: 48, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201200012100 (base 3) to base 4.\nAnswer: -1132202223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/60 + 3*w**4\/8 - w**3\/3 + w**2 - 18. Suppose -2*f - 6 = -3*f. Suppose f*m - 32 = 2*m. What is a(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 391 - 291. Let a = b + -99. Do 0.12 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(-5*sqrt(9)*1))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1132 - 1330?\nAnswer: -2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -25*n + 21. Solve n*b + 3 - 7 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 476\/13?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 62, -1139, -4, 2, -5.\nAnswer: -1139, -5, -4, 2, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5215562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c + k + 3, 4*k = -2*c + 2. Let s be c\/(2*3\/(-192)). Let j = s - 23. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/12 - 13*j**3\/6 - 6*j**2 + 68*j + 70. Let f(s) be the first derivative of h(s). Factor f(g).\nAnswer: -(g + 1)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35, 67, 95, 119, 139, 155, 167?\n\"Answer: -2*s**2 + 38*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 968257963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 11*v**2 + v + 11. Let p be z(-11). Let b = 0 - p. List the prime factors of 1 + 3 + 0 + b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26880, -53497, -80090, -106647, -133156, -159605, -185982?\nAnswer: -212275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -7. Let o(d) = 3*d + 3. Let n be o(3). What is the remainder when (102\/n)\/(1\/2) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/(1\/36). Let r be (-22)\/(-18) - (-8)\/z. What is the closest to r in -1\/5, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 57*u**2 + 2*u - 103. Give l(57).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -33.9, -1194, 1\/3 in decreasing order.\nAnswer: 1\/3, -33.9, -1194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68245 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 8*m + 7. Let t be v(-7). Suppose n + f - 5 = 2*f, 2*f + 4 = 0. Suppose r = n - t. Solve 4*g = 7 - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 306957 in decreasing order.\nAnswer: 306957, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 585101?\nAnswer: 5850a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29827376020 and 4885?\nAnswer: 29827371135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/5)*i))**15)**(2\/13) assuming i is positive.\nAnswer: i**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = l + 19, 7*i - 9*i - 6 = 3*l. Differentiate -46*x + 1842 + i*x - 1871 - 13*x with respect to x.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - x**4 - x**4)*(9*x - 9*x + 27*x) - 2*x**5 + 2*x**3 - 2*x**3 + (-6*x**4 + 3*x**4 - 15*x**4)*(-6*x + 4*x + 0*x).\nAnswer: -47*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -101100101110001100 (base 2) to base 15\nAnswer: -39420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -17. Suppose 5*f + 34 = -3*u, -4*f + 6*u - u - 5 = 0. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*u - 7099 + 7099.\nAnswer: -313*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2371 to 2 dps.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -312?\nAnswer: 30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -3*sqrt(847) + 1 - (sqrt(847) + sqrt(847) + 2)*4)**2.\nAnswer: 1540*sqrt(7) + 84749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.9 and 10?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -2 + -8 + 10. Let k = 4 + z. What is the second derivative of 2*v**5 + 2*v + 6*v**5 - 2*v**k wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/7 - 3644*o**3\/7 - 375834*o**2\/7 - 1371920*o + 20739400\/7 = 0.\nAnswer: -1714, -55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.1 - -30.1. Put -0.8, n, -16, 0.3, -1 in decreasing order.\nAnswer: 0.3, -0.8, -1, n, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 45 = -15. Let b = d - 15. Let u be (-4)\/(-6) + (-42)\/(-18) + -2. Put -1, b, u in ascending order.\nAnswer: b, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8031? (a) 0.4 (b) 2 (c) -4241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 1\/2*y**3 + 0*y**6 + 0*y**2 + 0*y**4 + 11\/42*y**7 - 20*y + 0*y**5 + 0. What is the second derivative of c(d) wrt d?\nAnswer: 220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4 - 37*g. Let f(p) = p**2 + 2*p**2 - 4*p**2 - p**2. Give v(f(w)).\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/9, 0.073, 1?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 53. Let r be q(-29). Solve -4*y + 34 = -r*x - y, y + 7 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210*x + 4*x**3 + 22*x**5 + 12*x**3 - 4*x**2 + 5*x**2 - 201*x - 210 + 0*x**5 wrt x?\nAnswer: 1320*x**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m + 1. Let b be f(4). Solve -2*x + i = 2, b = 4*x + x + 3*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 3*a**3 + a**3)*(-4 + 4 - 2*a**2 + (-3*a + 8*a + 0*a)*(3 - a - 3)).\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/8)\/(65\/14560). Let z = q + -388. Solve -z*t = 4*t + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6568800 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142998783*z**2 - 86825503*z wrt z?\nAnswer: -285997566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 r, and 1 z when four letters picked without replacement from {z: 6, h: 4, o: 2, r: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from lidiiiiiiiiidiililii?\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 1410921179.\nAnswer: -1410921178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/7 + 656*y**4\/7 + 20170*y**3 + 11292984*y**2\/7 + 52801119*y + 586851048 = 0.\nAnswer: -267, -49, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.16 - 23. Let n = -159.33 - -160. Let x = n - q. Round x to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(1261\/388)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-1 + sqrt(637)) - ((sqrt(325) - (sqrt(325) - (sqrt(325) + 1 + sqrt(325)))) + sqrt(325))) + -2*sqrt(832) + 1)**2*-2.\nAnswer: -35596 + 148*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 not equal to 0.05673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92087916 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502211, -1004240, -1506271, -2008304, -2510339, -3012376, -3514415?\nAnswer: -4016456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, w: 1, f: 1, d: 3, u: 3, o: 1}. What is prob of sequence fu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 7*o**2 + 7*o. Let c be g(-5). Suppose 3*m = c, 3*u + 18 = 4*m - 2. Suppose r - 16 = -u*r - 2*i, 0 = 2*r + 3*i - 37. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3*q*q**(1\/4))\/(q**(1\/3)\/(q**(1\/6)\/q)) assuming q is positive.\nAnswer: q**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y - 2*k + 13 = 0, -5*y = 5*k - 25. What is the third derivative of -13*l**2 - 21*l**y - 12*l**3 + l**3 + 5*l**3 wrt l?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2) - (8 - -4). Let c(x) = -x**2 - 9*x + 3. Let l be c(j). Factor 1 - l*h**2 - 4 + 0*h**2 - 2*h + 8*h.\nAnswer: -3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367624583 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73876583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*5)\/sqrt(4) - sqrt(24)\/(-5*sqrt(32)).\nAnswer: 201*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271374781?\nAnswer: 257, 1055933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*m = 94*m - 3995. Let n = m + 1472. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 4*y + 3*y)*(y + 3 + 0 - 2)*(-2*y**3 - y + y).\nAnswer: -22*y**5 - 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + -4969?\nAnswer: -5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35914.952 rounded to the nearest 10?\nAnswer: -35910","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 2*c**2 + 2*c - 4. Suppose 2*t + 5 = 9. Let o be m(t). Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226 - 695*d + 226 to the form g*d + b and give g.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*-19)\/(3 + -5). Suppose -l - 2*l + c + s = 0, -4*l - 4*c + 20 = 0. What is the remainder when 18 is divided by (2 - 32\/l)\/(2\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34866025 a multiple of 4114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26730970.\nAnswer: 2, 5, 7, 17, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p + 187. Let d be x(-17). Suppose -29*g = 5 - d. Sort -33, g, 2 in decreasing order.\nAnswer: 2, g, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*48\/(-168))\/(3*17)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31370447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(15\/((-75)\/10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 1\/8*l**4 - 5\/6*l**3 - 2*l**2 + 0 + 1\/60*l**5 + 0*l. What is h(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 + 2*u**3 + u**2)*(0*u + 3*u - u) + (-2*u - 4*u + 2*u)*(2*u**3 - u**3 + u**3) as b*u**2 + x*u + s + t*u**3 + k*u**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7943776 centuries to decades.\nAnswer: 7.943776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1900 - -2796. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.55972 milliseconds in seconds?\nAnswer: 0.02955972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 37*c - 3841 = -15601. What is the smallest common multiple of 20 and c?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2 + (0 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3920\/896 - (-4)\/(-1). Let s = 0.9 - 1. What is the fourth biggest value in z, 3\/2, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 23*o = -115. Let z = -1 + 0.6. Let g = 0.6 - 0.9. Which is the closest to 11? (a) g (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 25 + 32 = 0. Let t = -5 - -8. Suppose -2*p + 95 = t*p. Calculate the highest common factor of p and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcsshvun. What is prob of picking 1 n and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 + 608\/(-48))*-18. Let z(a) be the first derivative of a**3\/3 + 3*a**2 + 5*a + 1. Determine z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03703886 and 16.\nAnswer: 0.59262176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.76897653 and -0.8.\nAnswer: 4.96897653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, -33.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 176\/4 + (-2)\/(-2). Suppose f = 2, 2*h + 5*f = h + y. Suppose -5*g = v - h, 4*v - 4 = 2*g + 4. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 x when three letters picked without replacement from pfpapphxp?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/5)*q)\/((q\/((q*q*q**(-4))\/q))\/q)*(q**(5\/3)*q)**16 assuming q is positive.\nAnswer: q**(622\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1737*b + 5203*b + 8*b**3 - 1732*b - 1734*b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 + -22916884?\nAnswer: -22916535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -38. Let d = 34 - n. Suppose -3*l - 1 = -d. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0, -1, -0.039?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 16. Let u be 3\/z + ((-4)\/5)\/2. Suppose -i + 2 = -3*f, -4 + 0 = 3*f + i. Is u at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -61*c - 763. Let g be l(-13). Calculate the highest common divisor of 24 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -47. Let h = -8 - x. What is the nearest to h in 0.5, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i + 1. Let f(z) = 4*z**4 + 24*z**3 - 24*z**2 + 56*z + 12. Let t(r) = -f(r) + 24*p(r). Find j, given that t(j) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((600\/25)\/8)\/(6\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011010 - 0?\nAnswer: 110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 71.\nAnswer: 5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 10 = 2*c, 3*l + 23*c - 27*c + 14 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(54)*1)*4)**2.\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l**2 - 6*l**2)*(-7*l**2 + 10*l**2 + 17*l**2) + (-5*l**2 + 4*l**2 + 5*l**2)*(-3*l + 3*l - 2*l**2).\nAnswer: -68*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let y(q) = 20*q - 2. Determine y(p(m)).\nAnswer: 20*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3919*k - 7917*k - 3686 = -3901*k for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -h + 5*q + 293, 3*h - 4*q = 624. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 + -1.4. Let g = i + -3.9. Let z = g - -12. Which is the biggest value? (a) z (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(2*v**3 + 0*v**3 + 0*v**3)*(v + 3*v - v)*(-1 + 0 + 2).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1826715133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0 + 9. Solve -5*u - 2*x = -0*x - 5, -15 = -g*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 76?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 171, 0.\nAnswer: -4, 0, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20401 and 57362?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -37. Suppose -b - 4 = -0, w + 5*b = t. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 11:30 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*b + 3557, b + 9*n - 1768 = 10*n. What are the prime factors of b?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 43 = 15. Let k(y) = -4*y**3 + 7*y**2 + 13*y - 7. Let h(s) = -2*s**3 + 3*s**2 + 6*s - 3. Give c*h(v) + 3*k(v).\nAnswer: 2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77603 is divided by 521.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - w + 3 - 5)*(-3 + 1 - 5).\nAnswer: 7*w - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*n - 232*n + 48 - n**2 + 95*n in the form c*n**2 + d*n + k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, x: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -7*o + 30. Let d(n) = -8*n**2 + 12*n. Let p(y) = 88*y**2 - 132*y. Let r(h) = o*p(h) + 32*d(h). What is the second derivative of r(g) wrt g?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/12 and -197\/358710?\nAnswer: 717420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - 1768*x + 85*x**2 + 1768*x + (-x**2 - x**3 + x**2)*(4*x - 4*x - 2*x) + 0*x**4 + 0*x**4 + 2*x**4.\nAnswer: 2*x**4 + 85*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -20. Suppose 5*c = a*d - 100, 2*d + 2*c - 82 = -2*c. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29860 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**2 - 302*l + 60.\nAnswer: 2*(l - 30)*(5*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -676, -1352, -2028?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-196)*3\/9*72\/20.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 2440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4526 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5261607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 8878?\nAnswer: -8878.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 5, t: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-12)*(-600)\/(-50)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.49236 + -31810.73\nAnswer: -31811.22236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9806*b**2 - 10035.\nAnswer: -19612*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 548.53 - 553. Let q = s + 5.322. Let u = q + -1.12. What is u rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 180 in -1\/37, 0, -21\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4474 - -4474. Put 2, c, -0.3, -7\/12 in ascending order.\nAnswer: -7\/12, -0.3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32416331?\nAnswer: 17, 1906843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27981 - -7?\nAnswer: 27988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/(-108) - 374\/(-748). Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 51*x + 651. Determine n(40).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2646683.954 - -2644402. Let t = -2287 - z. Let g = t - -0.046. Is g smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3663040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.97318336 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 6. Let q(c) = -2*c + 1. Let w be q(p). Calculate the remainder when 14 is divided by (-9)\/(-3)*w\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/36199 and -87\/63494.\nAnswer: 43366402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -224*o - 3676. Give a(-16).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) 5 (b) 3435 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.415144 and -6565129.\nAnswer: -6565128.584856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.057967 + -5.062. Round r to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*z**5 + 117*z**4 - 117*z**4 + 18*z**4 + 17*z**5 - 18*z**4 + (0 - 3 + 7)*(-2*z**5 + 3*z**3 - 3*z**3).\nAnswer: 39*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b - 15916 - 4*b + 15915. Calculate x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(3\/5)*p)\/p*p*p*p*p*p\/(p**(-1\/20)*p)*p)**(-3\/2))**(-2\/45) assuming p is positive.\nAnswer: p**(109\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.381 - -0.181. Sort 0, y, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 - 17106*b**3 - 17107*b**2 = 0. Calculate b.\nAnswer: -1, 0, 17107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (354 - 354 + 45*c)*(-1 + 1 + 2) - c + 0*c + 3*c + 5*c - 27*c + 11*c.\nAnswer: 81*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 2262 - 470 = 0. Let h be t\/(-24)*(-3)\/(-2). Let i be h*(3\/5 + 32\/(-20)). Solve 4*z - i = 4*y, -5*y + 0*z + 4*z = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 0.04 (c) -0.4 (d) 0.918 (e) 11\/4 (f) 7 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -132513*i**2 - 15 + 40 + 2*i**3 + 132515*i**2 in the form u*i**3 + d*i**2 + n + k*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1308, 1310, 1312?\n\"Answer: 2*w + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 1\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 284*j - 285*j + 1952. Suppose 1960*n - j*n = 3272. List the prime factors of n.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-10 - -3) + 28\/2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h + 2238*h**4 + 41*h**5 - 2238*h**4 wrt h.\nAnswer: 820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 6. Suppose 0 = m - s + 238 - 704, 3*m - 4*s - 1403 = 0. Let b = -456 + m. What is o(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*y - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 1. Let p(l) = l + 1. Let j(t) = -c(t) - 4*p(t). Let g be j(-5). Suppose -3*i - g = -5*q, -3*q + q - 4*i = 12. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2665 + 2*f - 5701*f**2 + 1344 + 1320 to the form j*f + o*f**2 + p and give o.\nAnswer: -5701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(833) - (sqrt(833) + 0 - sqrt(833))) + sqrt(833))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 57*c + 407. Determine b(55).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378444 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 divided by 21698?\nAnswer: 57\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 + -224. Let m be 30\/(-6) - (-4 - y\/(-16)). What is the closest to 0.2 in 0.1, m, 3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12)\/(-26*2\/24)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + -0.3. Let q = -5.87 + -0.13. Let f = q - v. What is the third smallest value in f, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/5 - 3339*q**2\/5 + 32525*q + 165963\/5 = 0?\nAnswer: -3387, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.52 - -7. Let y = -278 - -277.444. Let h = y + m. What is h rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -12*c + 5, 5*t + c - 46 = 0. Solve 4*s + 2*n + t = -11, -5*s + 5 = -5*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 92, 195, 350, 563, 840, 1187, 1610?\n\"Answer: g**3 + 17*g**2 - g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 104 = -l + 3*l, w - 116*l - 17 = -112*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-65) + (-2)\/(-4). Which is smaller: 1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130855, 130841, 130815, 130771, 130703?\nAnswer: 130605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 351, 4, 5 in descending order.\nAnswer: 351, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x*x**(-1)*x))**(-18)*x**6*x\/x**(-4\/5))\/(x**(-5)\/(x*x**3))**(-3\/5) assuming x is positive.\nAnswer: x**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.065 + -0.085. Let t = c - -0.02. Let h = t + -5. What is the biggest value in h, -4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -77047711?\nAnswer: -77047713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18473 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48048 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1917592 is divided by 7101.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 325*s + 3343. What is r(-116)?\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4) + (0 - 0) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = v - 23. Let z(c) = -38*c**2 + 5 + c**3 + 16*c**2 + 18*c**v - 6*c. Let d be z(5). Solve d*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 7}. What is prob of sequence oe?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161\/111 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-16)*f**(2\/3)\/f)\/(f**(3\/4))**(-29) assuming f is positive.\nAnswer: f**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1237*d - 1237*d + 2476*d + 24)*(d - 19*d + 0*d).\nAnswer: -36*d**2 - 432*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82484 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 10?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3727563ml to litres.\nAnswer: 0.0003727563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 48*h**2 + 12. Let j(f) = 6*f**2 + 2. Let m(a) = -6*j(a) + o(a). Let x(u) = 170*u**2. Determine x(m(c)).\nAnswer: 24480*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 33*j - 6. Let q be z(-10). Let g = q + 7. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (0 - 1*4). Suppose 0 = -4*j - k - 1 + 5, -4*j = 3*k + r. Let f = 8\/15 - 1\/5. Sort -0.2, f, j in decreasing order.\nAnswer: j, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280599 and 1751?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -2*w**3\/3 - 3*w**2 + 21*w. Let h(i) = i + 1. What is 11*h(j) + 2*s(j)?\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 3) + 0 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-15) - 2333\/(-220). Let c = -203\/11 + x. Find the common denominator of -73\/3 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.39 and 595.\nAnswer: 15107.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 65 + -56\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -59, -88, -117, -146, -175?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 20 + 0*b - 2*b.\nAnswer: -2*b + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 71 = -3*x, 4*t + 169 = x + 172. What is the remainder when 1389 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5736 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 45*q. Let g(b) be the first derivative of -4*b**3\/3 + 121. What is f(g(t))?\nAnswer: 32*t**4 - 180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.303 to 2 dps.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10928, -27331, -43734?\nAnswer: -60137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3168 at least as big as -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -2023?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2815 + 29130*w**2 + 4848*w**2 + 1352 - 4165)*(-5 + 0 + 3) in the form y*w**2 + g + z*w and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-72) - (-71)\/6. Let b(r) = r**2 - 8*r - 5. List the prime factors of b(g).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 931818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m - 8. What is the lowest common multiple of 26\/2 - (8 - 11) and t(5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-96)\/(-1 - -5))\/(-1). Let z = 26 - i. Suppose 2*n + 2*w - 152 = 0, -z*n - 3*w - 49 + 203 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6240 and 585?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 923 - 920. Solve -a*p = -5*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82763595 divided by -28989.\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.04 + 0.04. Let r = 13.3 + -13.2. Sort 2\/13, m, r in descending order.\nAnswer: 2\/13, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -9. Let t = n - 11.34. What is t rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 31*p**3\/6 + 2*p. Let o(f) = -f**2 + 8*f - 4. Let k(l) = l**2 - 14*l + 7. Let z(d) = -4*k(d) - 7*o(d). Give z(i(x)).\nAnswer: 2883*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve x - 15 = z, -4*z = 797*x - 796*x + 10 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 65 - -14 - (-20 - (-18 + 13))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 14.4.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 62674296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - u**2 + 1. Let g be (-10)\/4 + 1\/2. Let d(w) = 7*w**3 + 2*w**2 - 2. Give g*o(m) - d(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/300 + w**4\/120 + 2*w**2 + 17. Factor b(v).\nAnswer: v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -22. Let f = 8.8 - n. What is the closest to -1\/3 in f, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5764933 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2821871*-0.5.\nAnswer: 1410935.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 20*a**3 - 4*a**2 + 89*a - 477. Is 37 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000547806 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441072.\nAnswer: 2, 90067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from mmwmumuu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2. Let z = -815 - -815. Let y(o) be the first derivative of z*o**2 - 14 + 0*o + 1\/3*o**3. Give y(x(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3208.7 - 3209. Which is the third smallest value? (a) -1\/3 (b) -0.4 (c) -1.09 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(-4*u + 4*u + u) + 2*u + u - 5*u + 2*u + 180632 + 0*u - 178941 to r*u + v and give v.\nAnswer: 1691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-16)\/12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408217297 to the nearest integer?\nAnswer: 20204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/4)\/(-3) + 8667\/(-1053)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**3\/3 - 27*t**2 - 56*t. Let g be d(29). Solve 2*m - 5*f = -35, -3 - 12 = g*m + f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2. Let z(p) = -16*p + 21. What is 22*t(b) + 2*z(b)?\nAnswer: -32*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 11:06 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 79. Is k(23) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -773*h*l**2 - 3*h*l - l**2 + 663*l wrt l?\nAnswer: -1546*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820*n**3 - 1630*n**3 + 812*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.17 (b) 0 (c) 2\/3 (d) -0.5 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (48 + 2)\/2. Let w = -9 + 12. Suppose 2*h - 20 = h + w*c, -4*c = -h + u. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25816 - 25815.9. What is the fourth smallest value in 10, l, 0.075, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -886740 divided by 60.\nAnswer: -14779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 6. Suppose 0*x + l = -2*x. Is 10 a factor of (-6)\/x*40\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3 (c) -1201315 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, v: 2, k: 1}. What is prob of sequence kb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 7738605*w + 309552200 = 0. Calculate w.\nAnswer: -1547761, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 - h**3 - 3*h**3)*(-21 - 56 + h + 28) to x*h + t*h**3 + c + w*h**2 + o*h**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.86, 2\/7, -1, -0.1, 2.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8 + 2 + 4525\/724) - 51.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10*u = 128. Suppose -i = -3*v - 1 + u, 0 = 3*i. Suppose -12*m = -15*m + v*a + 61, -4*a = 4*m - 60. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 715.9358 minutes?\nAnswer: 42956148000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 166154 (base 8) to base 9\nAnswer: 102018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364094 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010001110100 (base 2) in base 8?\nAnswer: -302164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {d: 6, b: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v**2. Suppose -4*k - 70 + 90 = 0. Let i(o) = -k*o + 470 - 470 + 3*o. Give i(f(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - q**3 + 12*q - 1 - 15 + 12 + 2 - 5*q**4 in the form p + g*q**2 + f*q + b*q**4 + t*q**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, and 1 r when three letters picked without replacement from {r: 1, m: 6, d: 1, e: 2, k: 2, g: 7}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 24*f = 25. Let q be f + 1 - 3*-2. Solve 16*d + 4*d**5 - 8*d + 36*d**3 - 20*d**4 - 17*d**2 - 11*d**q = 0 for d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + 73. What is the remainder when x is divided by 56?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1566, -1368, -1076, -684, -186?\n\"Answer: c**3 + 41*c**2 + 68*c - 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*k + 1750 - 622 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280929?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-56))\/(4\/(-7)*3\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+116\nAnswer: 116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2755 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 1, 2, -3, 4, 91, -1 in descending order.\nAnswer: 158, 91, 4, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7451\/1090 - -7\/109. Calculate the common denominator of 29\/10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*s = -16 - 22, 3*q - 27 = -3*s. Let c = q - 17. Let p = c + 6. Solve -o - 5*f + 20 = -p*o, -4*o = 4*f - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 3612164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 - 28) + -27 + 87 + 6 + -1 + -3?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, x: 1, r: 7}. What is prob of picking 2 r and 2 o?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1280717, -1280706, -1280695?\nAnswer: -1280684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*z - 19. Let j be (-3)\/(z\/1)*1. Let x be (-3)\/(-33) - 90\/(-99). Which is the closest to -13? (a) -3 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Let n(z) = -2544388*z**2 + 20277*z + 6759. Let x(g) = -753*g**2 + 6*g + 2. Let p(l) = -2*n(l) + 6759*x(l). Determine m(p(w)).\nAnswer: -564001*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -118 times -3.71529?\nAnswer: 438.40422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 48 = -4*b. Let p(g) = -137*g - 34. Let y be p(b). Suppose 2*r + y = 2994. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 549558\/55 - 112\/(-3080)?\nAnswer: 69944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 11*x**2 - 1. Let n(l) = 7*l**3 + 74*l**2 - 24*l - 30. Let g(p) = 6*j(p) + n(p). What is g(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105893, 26, -2 in decreasing order.\nAnswer: 105893, 26, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -23*g**5\/2 + 26655*g**4\/2 - 104057*g**3\/2 + 123621*g**2\/2 - 20788*g - 2310 = 0.\nAnswer: -2\/23, 1, 2, 1155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 209322 plus 0.4?\nAnswer: 209322.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92092, 368317, 828700, 1473241, 2301940?\n\"Answer: 92079*p**2 - 12*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1578 - 1568 + 2*r**2 + r**3 + 8*r - 9*r**2. What is the lowest common multiple of 78 and x(6)?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 2:35 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132245938?\nAnswer: 2, 11, 31, 211, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -75. Let z = -65 + f. Let v = z - -6. Which is the fourth smallest value? (a) v (b) -2 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3\/4 (c) -0.156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2.9. Let v = q + -6.9. Is v at least -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -235*q - 1950 + 8295. Solve -51*a + 120 = -q*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12285 and 12285?\nAnswer: 12285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 17\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -1\/26, 3\/29, -57, 3.\nAnswer: -57, -12, -1\/26, 3\/29, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1313*v - 1155 with respect to v.\nAnswer: 1313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.44 and 0.1.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/24*-3*6. Suppose -5*x = 4*y - 299, 187 - 6 = 3*x + 2*y. Let f(r) = -30*r - r**2 + x*r - 29*r - 1. Give f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6653745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (644\/161)\/((((-12)\/(-14))\/(-3))\/((-48)\/252)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001344857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50469 is divided by 47688.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6*0*1. Suppose -2*l - l = n. Solve l = a - 6*a + g - 18, 3*a - 3 = -4*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14518960 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -11. Let s be (-4)\/6 - n\/(-6). Solve -s = j - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14070, -28042, -42034, -56052, -70102?\nAnswer: -84190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4697*g + 115478 + 287534 - 74222 = 0 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/208)\/((-2)\/(-13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -86, 1, 68 in increasing order.\nAnswer: -86, 1, 34, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241 + -232. Let n be 3\/9*h - -2. Solve 4*z + 7 = v - 2*v, 3*z - n*v = -11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69916 is divided by 1075.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-406)\/(-112))*((-3)\/(-3))\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497246 or 2983469\/6?\nAnswer: 2983469\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4036 = -19*q + 4739 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2293 is divided by 253.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Suppose -9 = -s*y - 3*y. Calculate the least common multiple of y and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9753 - 0.31.\nAnswer: 9752.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.936 - 3.8. Let b = v + 10.664. Round b to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -515 - -138. Let h = q - -377.00000645. What is h rounded to 7 dps?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*9\/30)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55148747 is divided by 90?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (423 - 311) + (9 - 253).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**2 - 3586*q - 234158?\nAnswer: -4*q - 3586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1957, 2, -0.4, 0.3, -42181 in decreasing order.\nAnswer: 1957, 2, 0.3, -0.4, -42181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586 divided by 7.\nAnswer: 586\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 9)*(-5*w**2 + 4*w**2 + 2*w**2).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -12. Let g = -254\/5 - h. Let q = 80\/3 + -26. Put q, g, 5 in decreasing order.\nAnswer: 5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-400)\/75)\/(2\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50643.44 grams in micrograms?\nAnswer: 50643440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 83*h + 2. Let v(a) be the third derivative of 83*a**4\/24 + a**3\/2 + 7*a**2 + 8. Let u(g) = -4*p(g) + 3*v(g). Differentiate u(z) wrt z.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61\/6 or 1.6?\nAnswer: 61\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14984972\/13 + 1152053. Let h = -633 - i. Is h at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 203, 317, 441, 575, 719?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of (-20)\/6*(47 + -1145)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68724281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:36 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let x(y) = 5*y**2 - i + 3 + 2*y**3 - 3. Let w = 187 - 188. Let c(f) = f**2. What is w*x(t) + 5*c(t)?\nAnswer: -2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 - 6 + (-5 + 10 + 0)*(-3 + 1 - 1))*(3 - 3 + 3*a).\nAnswer: -69*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.07.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 117 = -117. Suppose -2*i + 595 - 235 = d. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h**(1\/2))\/((h\/(h*h*h*h\/(h**(-2)\/h)*h*h*h))\/(h*h\/h**(-1\/5)*h))*(h**(-2\/5)\/(h**5\/h*h))**(-34) assuming h is positive.\nAnswer: h**(1953\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65) + (sqrt(65) - 5*(sqrt(65) - sqrt(65)*-6)) + 1*sqrt(65)*-4)\/(((sqrt(180) + 1*sqrt(180) - sqrt(5)) + 2*sqrt(405))*5).\nAnswer: -36*sqrt(13)\/145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 - 121. Let n = u + -58. What is the second biggest value in 4, n, 1\/8, -3\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 15) + 6 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-376)\/(-32) - 3) + (-1)\/(-4). Suppose -5*s + 15 = -5*m, -2*m - 2*s + 8 = -6. Solve 0 = -m*l - 1 + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 4. Let d(j) = j**2 + 0 + 0 - 1. Let t(r) = -d(r) + q(r). Let k be t(2). Which is the nearest to k? (a) -4 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 179 - 27 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277*m**2*o**3*y - 9*m*o**3*y - m*o**2*y - 3*m*y + 2*y wrt m.\nAnswer: -554*o**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 times 0.02?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1823963698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98 (base 15) to base 11.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 66621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 92*c**2 + 1024*c**2 - 11*c.\nAnswer: 1116*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73829*j - 1228 + 147654*j - 73827*j.\nAnswer: -2*j - 1228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464341 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = x + a, -3893345*x = -3893340*x - 2*a + 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**3 - 1\/30*x**6 + 2*x + 1\/4*x**4 + 1\/20*x**5 + 0*x**2 + 22. What is the third derivative of w(p) wrt p?\nAnswer: -24*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(196) - sqrt(196)*-2) + sqrt(196) + sqrt(196) + sqrt(196))\/((sqrt(32) + sqrt(2))*-1 - sqrt(2)))**2.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 5, m: 5, g: 5}. Give prob of sequence aa.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 6*h = -4, -20 + 72 = 25*u - 21*u - 6*h for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 71.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 0.3291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjv when three letters picked without replacement from {i: 10, v: 3, s: 1, o: 2, j: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2277, 4587, 6873, 9123, 11325, 13467, 15537?\nAnswer: 17523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -42. Let o be z\/2 + -29*169. What is o rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/3003)\/(18700\/21175 - (-40)\/(-88)).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 3*m**2 + 18*m. Let c be j(6). Let q(u) be the second derivative of 0 - 1\/12*u**4 + 7\/2*u**2 - 1\/20*u**5 + c*u**3 - 2*u. What is q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -614 + 620. Suppose -a + w*a + 3*f = 13, 0 = a - f - 9. Let g be -3*2\/2*-1. Solve 2*t - a*k + 22 = -k, 9 = -g*t - 2*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5*(-4)\/(-20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**3 + 2*h**2 + 3*h - 4. Let i(s) = 40*s**3 - 10*s**2 - 16*s + 22. Calculate 2*i(f) + 11*y(f).\nAnswer: -8*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - (-4 + 1))*(1 - 2). Solve -l*g = 7 + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 - 2*v**2 + 3*v - 3. Let z be x(-3). Let n be 2\/11 + 140\/z. Let p = -6 + 5.9. Which is the third smallest value? (a) n (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 11 + 0*p - 3*p**3 + 17.\nAnswer: -3*p**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -261*j**5\/5 - 351*j - 368. Find the first derivative of p(w) wrt w.\nAnswer: -1044*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/5 and 29\/317.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5)*(-2 - 1 + 2)*(q**4 + 2*q**4 - 4*q**4).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4059 and -0.2727.\nAnswer: -1106.8893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1753 + 123 = z + f, z + 5*f = 1868. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 70*l + 63. Let n(o) = -o - 1. Determine -4*b(p) - 252*n(p).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(204) + 4*sqrt(204)) + sqrt(204)*5*5)\/(sqrt(144)\/(sqrt(12)*2) - -4*sqrt(60)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t - 53. Let a be p(6). What is the tens digit of 146 + (-7 - -5) + a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 12*y + 8. Let s(v) = 3*v**2 - 26*v - 17. Let l(u) = -2*s(u) - 5*x(u). Suppose 14 = -2*w - 0. Determine l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.28, -1\/20, 3, -3.5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 16830 = 15045. Solve 4*f + 17 = 3*k, 11 = k - u*f + 81*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3977013 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1237, 1740, 3071, 5644, 9873, 16172, 24955, 36636?\nAnswer: 51629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 175 = 3*m, -2*m - 4*q - 112 = -9*q. Let h be 9*2\/6 - m. Let g = h + 14. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.6524152835 + 5.\nAnswer: 35.6524152835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) 2\/5 (c) 0.042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**4\/8 + 5*m**3\/6 + 4*m**2. Determine u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.083754 grams?\nAnswer: 83754000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixteen sevenths of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxhr when four letters picked without replacement from {h: 7, w: 2, d: 3, x: 3, r: 3}.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = -23. Let o = v + 9. Let m be ((4\/o)\/26)\/(9\/18). What is the third biggest value in 22, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - r + 188. Let w be x(0). Suppose u - w = 5*a, -5*u - a = -0*a - 992. Let l = u + -72. Calculate the greatest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:56 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245423072 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -277 - -192. List the prime factors of 32\/48 - k\/3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 15) in base 6?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/1783 in -1\/2, -4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 337114993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 7*q**2 - 10*q**2. Let v(h) = 4*h + 7. Determine z(v(m)).\nAnswer: -96*m**2 - 336*m - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -13. Let m = o - -21.000004. What is m rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 55 = -25*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2276, 2\/65, 2.29, -0.9 in descending order.\nAnswer: 2276, 2.29, 2\/65, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1138 + 130.\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/261)\/(4\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 28\/24 - 2\/12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -106927047 and 46960.\nAnswer: -106880087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -380 + 439. Find the second derivative of 18*z**3 + 44*z**3 + 2*z**3 - q*z wrt z.\nAnswer: 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5 = 329*p - 330*p, -4*c = 5*p - 31 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 - 2*n - 6. Let g be d(-6). Let p(o) be the first derivative of o**4\/4 - 2*o**3 + o**2\/2 - 6*o + 47. Determine p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + z**2 + 54*z + 16. Let b be h(8). Let l(w) = w**2 + 42. Give l(b).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3101 or -3111?\nAnswer: -3101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 9, y: 6, i: 2}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1152) - (sqrt(1152) - (sqrt(1152) + 1))*-2))**2.\nAnswer: -1536*sqrt(2) + 18496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**2 - 5. Let z(m) = m**2 + 1. Let u(i) = -b(i) - 5*z(i). Let f(r) = 5*r. Determine u(f(j)).\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(-123) + (1*-142)\/(10 + 7 - 14)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 2 - (sqrt(20)\/(sqrt(64) + sqrt(4) + sqrt(4)) + sqrt(5)).\nAnswer: 2 + 65*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 131133790 to the nearest 10000.\nAnswer: 131130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v = 1. Let q(k) = k + 1 - v. Let o(j) = -12*j**2 - j. Let c(d) = -35*d**2 - 3*d. Let i(n) = -c(n) + 3*o(n). Give q(i(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13) + -1)*-5)**2 + 3 + sqrt(117) + 1 + -5 + sqrt(117)*1*6.\nAnswer: -29*sqrt(13) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let f = -3530.4 + 3530. Which is the third smallest value? (a) u (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + -2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 234266 in descending order.\nAnswer: 234266, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -12.8. Let i = 3 - y. Sort 5, 0.3, i in descending order.\nAnswer: 5, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a + a + 2*a + a - a + (3 - 3 + 2*a)*(0 + 2 + 0) + 2*a - 3 + 3 + 2 - a - 2 - 3*a + 3*a + 2*a + 0*a - 2*a + 3*a - a + 8*a - 5 - 6*a.\nAnswer: 12*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, -21, -57, -89, -117?\n\"Answer: 2*q**2 - 46*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7065, -25336, -43607, -61878, -80149, -98420?\n\"Answer: -18271*c + 11206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**3\/3 - t**2 + 4*t - 13. Let o(v) = -v + 1. Give g(x) - 3*o(x).\nAnswer: x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -468726 and -468727 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t + 2*t - 5*t)*(2 - t - 2)*(1417 + 291*t**2 - 1417) as o*t**2 + w + c*t + k*t**4 + s*t**3 and give k.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 10*l + 4. Determine i(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 8439?\nAnswer: -42195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 2. Let w(t) = -6*t + 6. Suppose 2*v - 5*z - 7 = 0, 3*v + 0*z - 2*z - 38 = 0. Give v*y(s) + 5*w(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -62. Put 0, 3, s in ascending order.\nAnswer: s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10410.58l?\nAnswer: 10410580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 8*v**2 - 35*v**2 + 7*v**2 + 8*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8.07. Sort b, 2\/7, 0.1 in ascending order.\nAnswer: b, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164373072 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*p + 162, 6*p + 2*n - 160 = 3*p. Let q = 79 - p. Suppose 2 = 5*g + 2*x, -3*x + 3 = -3*g - 0*x. Solve -2*f - 4 = -g*f, -5*a - f = q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 43*v - 24. Let t(m) = 89*m - 40. Determine -7*s(d) + 3*t(d).\nAnswer: -34*d + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1112953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65169 is divided by 1810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 3*s + 1, -2*s + 46 = -d + 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -51.101227763057.\nAnswer: -51.601227763057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 43*g + 26. Let y be i(21). Solve -2*k - y = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 - 6*h - 8. Let k(p) = -p**2 - p - 1. Let q = 74 - 47. Let d be 9\/(-2)*(-36)\/q. Give d*k(j) - v(j).\nAnswer: j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 + -2 + 6. Put 5, -5, d in descending order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 6358.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((15\/(-9))\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45, 117, 205, 315, 453, 625, 837, 1095?\n\"Answer: f**3 + 2*f**2 + 59*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 5*x**2 + 5*x**3 + 0*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2745\/(-305)*(6\/8)\/(36\/8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 + 37222*t + 3333780 = 0. Calculate t.\nAnswer: -18521, -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1870 divided by -34.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1714 - -0.171410692. Round v to 7 decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 7*s + 6. What is the least common multiple of t(4) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 5*y**2 + 6*y**2 + (-2*y + 2*y - 2*y)*(-3 + 3 - 3*y) - 4*y**2 + 4*y**2 - 2*y**2 - 2*y**2 + 0*y**2 + 3*y**2 + 2*y**2 - 4*y**2 + y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 893655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-18))\/(44\/198)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - ((-1 - 7) + 2)) + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.803 - -0.013. Let f = 0.59 + g. Which is the third smallest value? (a) 1 (b) f (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 133835988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(108) - (sqrt(108) + (-3 + sqrt(108) - sqrt(108))**2)) - ((sqrt(12) + sqrt(108)\/(sqrt(18)\/sqrt(2)) - sqrt(12))*-6)**2)*5.\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3063 and 8.\nAnswer: 24504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -59, -102?\n\"Answer: -43*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1266 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 2*p + 3. Let w be g(-1). Suppose -3*f - 4*t = -3, 4*f - 6 = -w*t + 5. Solve 4*u - 41 = -0*n - f*n, -5*n = -2*u - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89.823 + 0.777. Let i = z - -29.4. Let r = -120.0081 + i. Round r to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 68\/759?\nAnswer: 68\/759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-13 - (-6 - 0)) + 4). Let q(m) be the first derivative of 11*m + 0*m**4 + y*m**3 + 14\/5*m**5 + 0*m**2 + 16. Differentiate q(f) wrt f.\nAnswer: 56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/252)\/((3135\/(-10))\/19)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 95. Let t = l + -39. Let x be (-2)\/(8\/10*(-4)\/(-8)). Put -3, t, x in ascending order.\nAnswer: x, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -0.48482.\nAnswer: 0.0290892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 4) to base 15\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/((-3)\/3 - 0). Let z(d) be the third derivative of 0*d**4 - 1\/10*d**5 - 6*d**2 + 0*d**3 + p + 0*d. Give z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**4\/6 + l**3 + 3*l**2 - 3*l. Let o be r(6). What is o rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*b - 9*u + 6*u, -2*b + 4*u = -16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*n + 88*n - 170*n = -5. Suppose 1 = -b, -2*m + 4*b + b = -5. Is (-57 - -58)*(m + (n - -444)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 4 = -23*l. Let u be 4\/1 - (-6 + l). Find the third derivative of -10*k**6 + k**2 - 3*k**2 - 17*k**u wrt k.\nAnswer: -3240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 175*q**2 + 990*q - 550. Let f(y) = -8*y**2 - 45*y + 25. Let v(t) = -45*f(t) - 2*x(t). Solve v(g) = 0.\nAnswer: -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2592 - 636. Let p = d - -4571. Suppose 3*n - p = -86. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201 + 10030203?\nAnswer: 10013002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = -2. Suppose 0 = -4*m + 3*j - 2*j - 17, 0 = -3*m - 2*j - 10. Let z = 5 - 0. Put z, m, o in descending order.\nAnswer: z, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times 237.204\nAnswer: 49.81284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 107. Let i be (d - (-5)\/(-5)) + -2. Sort 1\/2, 1\/8, i, -5 in increasing order.\nAnswer: -5, 1\/8, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/13))\/u)\/(((u\/(u**(3\/2)*u))\/u)\/u*u)*(u\/u**(1\/3))\/(((u*u\/u**0)\/u)\/u)*u**4*u**2*u*(u*(u*u*u**(-1\/3))\/u)\/u*u\/(u\/u**(-4)) assuming u is positive.\nAnswer: u**(521\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 0*h**2 + 2*h**3 + (-3 - 1 + 2)*(-3*h**3 + 2*h**3 - 5*h**3) + 4*h**3 + 11 - 11.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -9*f + 65 - 3\/2*f**2. Determine h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4679.000004277 + 4679. What is s rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/80 - 573\/(-8) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.4. Let s(q) = q + 3. Let p(i) = i + 3. Let d be p(-4). Let o be s(d). What is the closest to -1 in o, 2\/23, l?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11125258 to the power of 1\/2, to the nearest integer?\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 take away -35556540722?\nAnswer: 35556540723.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4636528 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*o + 1539 = 5367 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**3 - 11*j**2 + 3*j - 5. Let h(c) = -3*c**3 - 7*c**2 + 2*c - 3. Give 8*h(i) - 5*z(i).\nAnswer: i**3 - i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f + 1. Let r be u(-1). Suppose -89 = 15*b - 254. Suppose -3*v - 5*p = -b + 38, v - p + 1 = 0. Sort 3, v, r in decreasing order.\nAnswer: r, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 4*s + 141. Let p(w) = w**2 - 12*w + 10. Let a be p(4). Let x = a - s. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + f + 178*f**3 - 9*f**2 - 175*f**3 to j*f + b*f**3 + a*f**2 + z and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4490067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {g: 3, s: 5, a: 3, k: 1, c: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -683, -2625, -5813, -10247, -15927?\n\"Answer: -623*h**2 - 73*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a century in months?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 smaller than -722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (253935\/45144)\/((5\/(-10))\/((-2)\/12)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 16*c**2 + 16*c + 17. Let y be j(-15). Suppose y*a - 2 = a. Suppose 2*i - 2*m = 26, 0 = a*i + 7*m - 3*m + 4. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13025 divided by -2605?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10124 + -1356601\/134. Let v = -12737\/7 - -1823. Find the common denominator of u and v.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(128) + (sqrt(18) + 3)**2.\nAnswer: -30*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -613, -800, -1167, -1774, -2681, -3948?\nAnswer: -5635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2 = -2*t, 3*t = v - 5 + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**5 + 5*v**3 - 5*v**4 + 17*v**3 - 15*v**2 + 3*v**3.\nAnswer: -5*v**2*(v - 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1613 + 214 + 1655*u**5 + 2146*u**5 + 5*u + 0*u + 256 wrt u?\nAnswer: 76020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Let f(p) = 3*p**2. Give f(z(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*v - 77, 5*b - 116 = -8*v + 197. Let i(d) = -8*d + 6. Let g be i(-5). What is the highest common factor of b and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 17*n + 16*n - 3, -3*a = -4*n - 4. Let v(f) = -4*f**3 + f. Let p be v(-1). Sort a, -4, p in decreasing order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 230*m**2 + 187*m - 65. What is the hundreds digit of q(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - -3) + -4 + 4 + 18 + -42\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 15*v - 93. Let z be c(12). Let h = -1 - -15. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 8\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {x: 2, n: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4591*g - 105294 - 45710 + 27047 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 + 3*m + 2. Let g be 1 - (2\/(-2) - -4). Is l(g) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17*g + 17*g + 9008 - 9009 + 13*g. Let s(t) = -27*t + 2. Calculate -9*k(v) - 4*s(v).\nAnswer: -9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -35 (c) -3\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1525 (base 8) to base 11.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51, -44, -49, -72, -119?\n\"Answer: -q**3 + 14*q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3832 - -3827. What is the nearest to -0.2 in 5, 7, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2262 and 20.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*f**4 - 3*f**3 + 420*f**4 + 0*f - 7*f - 215*f**4 as d + q*f**2 + u*f + x*f**4 + v*f**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - r = -4*r + 5, 4 = 4*r. Suppose -24 = j*l + 5*y, -3*l + 0*l - 2 = -y. Let h(s) = -s**3 + 4*s + 3. What is h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 626 - 626.000000955. What is v rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 + 0.22. Let s be 2*2*(-2)\/24. Let b = -4 - -1. What is the closest to q in s, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**2 - 114*u - 32. Give r(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34157, 34156, 34155, 34154, 34153, 34152?\n\"Answer: -w + 34158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1499871, -1499827, -1499783, -1499739, -1499695?\nAnswer: -1499651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 87, 155, 197, 213, 203?\n\"Answer: -13*w**2 + 107*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.6151 + 118737180.\nAnswer: 118737173.3849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2 - 0. Suppose -x + v = 7. Let p be 4\/x - (-5850006)\/9. What is p rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 485 and 4622341?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let p = 0.9 - 4.9. Which is the nearest to d? (a) p (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Suppose 3*a = -y*a. What is the third derivative of a*u**4 + 2*u**2 + u**4 + 3*u**4 wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:39 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -24*y - 3. Let z(c) = 24*c + 4. Let u(k) = -6*h(k) - 5*z(k). Calculate the smallest common multiple of 24 and u(1).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 28 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 526 and 299569624?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65285112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1363 - 1370. Which is the third smallest value? (a) -2 (b) n (c) 0.2 (d) -2\/3 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32966, 264080, 891362, 2112890, 4126742?\nAnswer: 7130996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 555.716 and 3.\nAnswer: 558.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 30. Let z be s(-4). Let 30*i**z + i**3 + 23 - 2 - 68*i - 6*i**3 + 8*i + 19 = 0. Calculate i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9039, 402, 0 in decreasing order.\nAnswer: 9039, 402, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30242 + -20342. Is l a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/3 (b) 2 (c) 87 (d) 4 (e) -77 (f) -2 (g) 0.028\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67344*m - 67350*m + 27 = 5*g, -51 = -6*m + 3*g for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1503 + 1496. Let v(j) = -7*j + 14. Give v(s).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -3*q - 43 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*sqrt(2299) - 3*sqrt(2299)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 568*m**4\/9 + 3970*m**3\/9 + 5638*m**2\/9 - 20*m\/3 = 0.\nAnswer: -5, -2, 0, 3\/284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 50*d**2 + 2*d - 48. Calculate a(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(1\/(-36) - 14\/63). What is the closest to -15 in 0, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11123127?\nAnswer: 3, 937, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/2 - 9*o - 24 = 0 for o.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6203323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 3*r - 10*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 152 = -47*k + 22. Let p(h) = -82*h + 6 + 3 + 2. Is 25 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-21)\/(-15)*(-1372)\/(-21609))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3178 and -97.\nAnswer: -308266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.37 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171*t + 9 - 9.\nAnswer: 1171*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12836 divided by -2\nAnswer: -6418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 1900416492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 2*m - 1. Let d(q) = 10*q**3 - 5*q**2 - 10*q + 62. Let s(p) = -d(p) + 5*u(p). Find the first derivative of s(t) wrt t.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 2*f + 1. Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -24, 18, 22, -3\/4.\nAnswer: -24, -9, -3\/4, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*(sqrt(1331) - (sqrt(1331) - (sqrt(1331) + -1))) + 0 + (sqrt(1331) - sqrt(1331)*2)) - (-1 + sqrt(1331) + -3 + sqrt(1331)*-3*-6))**2.\nAnswer: 480491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7677424*d**3 + 34*d**2 + 15473792*d + 1?\nAnswer: 46064544*d + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 107*d**2 + 3096*d + 103. Give c(-29).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(22\/5))\/(x\/(x*x*x**25)) assuming x is positive.\nAnswer: x**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024283 rounded to seven decimal places?\nAnswer: -0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, s: 6, y: 6, i: 3}. Give prob of sequence ii.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 783*i + 15297. Give z(-19).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 times -36.055?\nAnswer: 0.036055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-1)\/33*-5)\/(5301\/(-58311))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 10}. Give prob of picking 3 t.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 u when three letters picked without replacement from hzuhuhzhhzwwuuhuuw.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4387109, -17548450, -39484019, -70193816, -109677841, -157936094, -214968575?\n\"Answer: -4387114*i**2 + i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 33*z**2 + 55*z + 10. Let j(p) = -65*p**2 - 100*p - 19. Let f(d) = -6*j(d) - 11*k(d). Let w(a) = 28*a**2 - 4*a + 3. What is 4*f(r) - 5*w(r)?\nAnswer: -32*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:54 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*j**2*p**2 - f**2*j + 4*f*p**2 + j**4*p**2 - j*p**2 - 2*j wrt j?\nAnswer: 4*f**2*p**2 + 12*j**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 4, -1.\nAnswer: -1, -1\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**4 + 1024*v**3 - 1656*v**2?\nAnswer: 48*v + 6144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*u + 27 + 3 = 0, l + 5*u = -5. Is (-3 - 84\/(-20))*l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8983496.\nAnswer: 2, 1122937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 891 in 0.1, -0.8, 1\/3, 0.3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 3*t**2 + 1 + 4*t**2 - 2*t**3 - 5*t**4 in the form m*t**2 + u + q*t + z*t**4 + o*t**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5037*x**2 + 9526*x**2 + 10781*x**2 in the form o*x + q*x**2 + u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k + 5*r - 64 - 222, -16*k = 23*k - 34*k + 3*r + 191 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 5*k - 1. What are the prime factors of i(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 6.3, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42540.94 - -43012. Let c = f - 364. Let r = c + -107. Is r > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3\/32192, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-40)\/(-25) + (-11)\/(-15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*n + 95*n = 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5993 and 13\/5?\nAnswer: 29965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.89, 517?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2552704\/(-1295))\/308*(-150)\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597 = -2*n - 9. Round n to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**2 + 2*r - 2. Let t(v) = 22*v**2 + 4*v - 4. Determine -13*g(w) + 6*t(w).\nAnswer: -11*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4282, -8952, -13560, -18106, -22590?\n\"Answer: 31*l**2 - 4763*l + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a = -32*a + 65 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8.4, -1\/2, 0.01, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by -2 + 15\/5 - (0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k + 5*s - 43, -3*s = 3*k - 33. Let t = 11 - k. Let m = -4275\/11 + 389. Which is greater: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (8 - -3) - (15 - 19)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - ((-8 - (21 + -14)) + 8)) + -10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/13*1\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/33 + 28\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10396 (base 10) to base 16.\nAnswer: -289c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821937 is divided by 273977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -0*x + 5*x + 4*k, 0 = 5*x - 3*k - 532. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2.7, 2, -1.6, -83?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*j + 240, -2*r + 2*j + 61 = -r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4672 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.5 in -3, 2\/19, -0.1, 2\/7, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 542.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767980661?\nAnswer: 7, 17, 593, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 + 23. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(1\/10)\/((-76)\/304)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/7 - 8\/28. Suppose -a = j - 5. Solve 2*t = -2*i + 1 - 11, 15 = -j*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195523193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62940077 a multiple of 853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(242)*4 - (sqrt(242)*-1 + 4))**2 + 0)*1.\nAnswer: -792*sqrt(2) + 19618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7547 - a - 7547. Let b(v) be the third derivative of -v**7\/336 - v**5\/60 + v**2. Let c(p) be the third derivative of b(p). Determine h(c(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13*v - 56. Let s(b) = 30*b - 126. Let l(t) = -4*s(t) + 9*u(t). Let g(z) = 575*z. Determine g(l(f)).\nAnswer: -1725*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15243250 (base 6) to base 3\nAnswer: 1000011110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42544*w = -42564*w + 377580. What are the prime factors of w?\nAnswer: 3, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 1, e: 2}. Give prob of picking 1 e, 2 a, and 1 r.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4963 + 7?\nAnswer: 496a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/((-165)\/(-18)))\/(-5). Let b = -33\/175 - u. Sort b, 2, -0.4 in increasing order.\nAnswer: b, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m - 10*m**2 - 114*m + 10*m**2 + 3*m**3 + 46*m - 5*m**3.\nAnswer: -2*m**3 - 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0)\/((-1)\/1 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -383.47 times 3\nAnswer: -1150.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.075 + 0.075. Let j be 28\/(-45) + (-4)\/(-18). Let i = -2.07 + 1.57. Which is the third biggest value? (a) j (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*m - 40, -2*m + 15 = 4*s + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25813217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {r: 4, h: 5, f: 2}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -2)*10\/(-15). Suppose n*r = 11*r - 54. Let w(f) = f**3 - 6*f**2 - 3*f + 8. What is w(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3023122 - -103?\nAnswer: -3023014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1312)\/(-16)*(-2)\/(-4). Find the second derivative of -45*u**4 + 170 - t*u - 170 wrt u.\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-95) - -10) + -6\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357389003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a week?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*b - 100*b - 6*b in the form x*b + f and give x.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 157449672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/4 + 3*h**2 + 27*h\/4 - 10 = 0.\nAnswer: -8, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((8\/(-6))\/2)\/(36\/7074). Let i = c + 133. Solve -2 = -0*p - i*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**3\/3 + 7*g**2 - 64*g. Suppose -5*p = -2 - 3. Calculate the smallest common multiple of o(-3) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 7, -10, -45, -104, -193, -318, -485?\n\"Answer: -y**3 + 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -4 - 5)*(-1)\/(-30). Let m(p) be the second derivative of 0*p**3 + 0 + u*p**6 + 3*p + 1\/3*p**4 - 3\/10*p**5 + 0*p**2. Solve m(k) = 0 for k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100010101101001101 + 11?\nAnswer: -10001100010101101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29002?\nAnswer: 2, 17, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133 - 2026344?\nAnswer: -2026211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485788 divided by -121447.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*j**2 + 3)*(-3*j - 2*j + 4*j) - j**3 - 2*j**3 - 5*j**3 + (-2*j - 1 + 1)*(-j**2 + 2*j**2 - 2*j**2) + j**3 - 2*j**3 + 0*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, d: 1, u: 1, k: 1}. What is prob of sequence dt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/(-18)*(-42)\/(-4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let n(l) = 1091792625*l + 1. Determine n(w(j)).\nAnswer: 1091792625*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 643659403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 383197.\nAnswer: 12\/383197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s + 1713*s**2 + 17*s + 19*s.\nAnswer: 1713*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(-11)\/((-88)\/(-96))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68)\/sqrt(4)*-5 - ((sqrt(17) + -1)*-3)**2) + -3*(-1*(0 + sqrt(17)) - sqrt(17) - 6*(sqrt(17) + 1)).\nAnswer: -468 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Suppose -5*c + v*c = -2*u - 7, -5*c = 4*u - 41. Suppose -4*h = u*b - 156, 135 = 4*b + h - 15. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5)*45\/36. Let t = -211 - -1897\/9. What is the nearest to n in t, -4, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 10*k + 15. Suppose 4*z = 20 + 20. Let n be y(z). Suppose 7*a + n - 120 = 0. What is the lowest common multiple of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 425422 + -5232?\nAnswer: 420170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.1, -9.1, -78, -2343, -2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**7\/210 + u**5\/30 - u**3\/2 + 4*u. Let z(k) be the second derivative of t(k). What is the second derivative of z(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8944523, 8944519, 8944513, 8944505, 8944495?\n\"Answer: -z**2 - z + 8944525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/111 + 18 + (-13395)\/(-703)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 8, v: 5}. What is prob of sequence hv?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 50 = -11*k. Let h(g) = -g - 11. Let p be h(k). Which is smaller: p or -18\/43?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -470 and 828546?\nAnswer: 829016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 41*v**3 - 21*v**3 + 19*v**3.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.911582 less than 5?\nAnswer: -0.911582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 31*z - 126. Let n(r) = 115715*r**2 + r - 28. Let d be n(z). What is d rounded to the nearest one hundred thousand?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2. Let p(q) = -58*q + 9. What is k(p(h))?\nAnswer: -10092*h**2 + 3132*h - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 201\/37967 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250\/3 + 85. Let q(b) = -2*b**3 - 3*b**2 + 2. Let z be q(-2). Suppose 4*r - 11 = -i, 6 = 3*r + 2*i - z. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + n = 14127, -2*s - 16*n = -13*n - 28258. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 9 + 12 + (2 - 1 - 2)*(3 - 3 + 1))*(-d + d - 2*d) + d - 5*d + d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/2))\/(j*j**2)*j**(5\/4)\/(j\/j**5))\/(j\/(j\/(j**(4\/3)\/j*j))*j*j\/j**(-2)*j*j)**16 assuming j is positive.\nAnswer: j**(-1387\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2290 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1339 + 1365 = 13*u. Solve 0 = z - 4*y + 5*y + 2, -4*z - u*y = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -1.1. Let v = 0.12 + -0.02. Which is the nearest to h? (a) 0 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 3*t**3 + 2*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -204544 and -662?\nAnswer: 135408128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44940113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34270 is divided by 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 609570 - 322379. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2)\/(4 - 1). Suppose q = 2*o - 8. Suppose a**4 + 0*a - 5*a**3 - a**5 - a - a**3 + o*a**2 + 3*a**4 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6 + 24. What is the smallest common multiple of x and 1802?\nAnswer: 9010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.0243 + 34. Round b to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 60*c**3 - 144*c**2 + 512*c.\nAnswer: 2*c*(c - 32)*(c - 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*t + 965 = 93*t. Let z = 1539\/8 + t. What is the smallest value in 1\/4, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7946.864 days in nanoseconds?\nAnswer: 686609049600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1249 + 1319. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26.936742 months?\nAnswer: 2.2447285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 12 = -2*s, -5*s = 5*p. What is the third derivative of -8*u**5 - 33*u**4 + 33*u**4 + 2*u**2 - 5*u**s wrt u?\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 1. Suppose -2*z + c + 2 = -4*c, 5*z = -4*c + 5. Let q(l) = l**2 - 4*l - 2. Determine z*q(h) + 4*y(h).\nAnswer: h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3)*u\/(u*u**(-11)))**(-2)\/((u*u**(-3\/2)\/u*u**8\/u*u)\/(u**0\/u)**(-31)) assuming u is positive.\nAnswer: u**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 + -9 - 3*1. Suppose 3*m - l*h + 16 - 51 = 0, 0 = m + 4*h + 11. Solve -4*w + 8 = 0, 0 = n + m*w - 8 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53054 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33\/2 - -16. What is the second biggest value in 2, a, -3, -18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-132)\/64 - -2)*-158 and (-10507)\/474 + 6\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4566994 divided by 1.\nAnswer: -4566994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 192*h - 4445. Calculate j(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5704 < -3386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28342605 divided by -3385?\nAnswer: -8373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/8047641 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + ((-1485)\/(-300) - 2*((-1288)\/320 + 4)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115972085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -2*z - 2*s, 1041*s - 18 = 2*z + 1044*s + 86 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62.9 - 2267.\nAnswer: -2329.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3172*w**2 - 41947*w + 41947*w.\nAnswer: -3172*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*b**2*g**5 + 2*b**2*g**2 - 7*b*g**5 - 29*b*g**2 - 4*g**2 wrt g?\nAnswer: 1680*b**2*g**2 - 420*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170168 is divided by 1279.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1008 + -9073\/9. Which is the closest to 2\/5? (a) k (b) -2\/5 (c) 0.4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112.23 + 116.23. Put -0.4, i, 0.9, -0.04 in increasing order.\nAnswer: -0.4, -0.04, 0.9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6612\/(-152))\/((-15)\/10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = 2*i, 4*i = 2*l - l - 20. Suppose t - 15 + 10 = l. Suppose t*j + 16800 = j. What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/60 - 2*f**3\/15 + 3*f**2\/10 - 1041*f. Factor w(o).\nAnswer: (o - 3)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20778)\/8)\/(-9 + 69\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85028 is divided by 260.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048428 rounded to four dps?\nAnswer: 0.0484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty ninths of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107\/114 + (-325)\/390.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.99 + -0.01. Let n = 10 + -3. Let y = n + -3. Which is the third smallest value? (a) -2 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 6*m - 3. Let h be b(5). Suppose -5*w = 5, h*v + 68 + 621 = w. Let c = 546 + v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 9. Let j be o(-7). Suppose -2 = -j*w + 2. What is the highest common factor of 14 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88, -175, -262, -349, -436, -523?\n\"Answer: -87*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/9 + 20*w**4\/9 - 62*w**3\/9 + 44*w**2\/9 + 64*w\/9 - 64\/9 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159\/12*-2 - 1414\/(-404).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 + f - 3. Let b be m(6). Suppose -229 = -b*d + 671. Suppose 6*r - 10*r = -d. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -91 (b) -387 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 3*r**2 + 4*r + 2. Let s = -163 - -160. Determine l(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64828*f**4 + 69110*f**2 wrt f.\nAnswer: -1555872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 293 = 19. Let m = h + 55. Let y be (15\/(-20))\/(m\/(-2)). What is the nearest to 1\/4 in -1\/3, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25140642 is divided by 708.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from fffdwwppfpy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -24*p**2 + 18*p + 18. Let b(h) be the second derivative of -h**4\/12 + h**3\/6 + h**2\/2 + 29*h - 15. Calculate a(c) - 18*b(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/32*2 - (-52)\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1034826 divided by -78.\nAnswer: 13267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 26*t + 11. Let y(j) = 9*j + 4. Let f(v) = -6*x(v) + 17*y(v). Let w(u) = -8*u + 5. Suppose -11 = q - 0*q. Let b(g) = q*f(g) + 4*w(g). Determine b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -89. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*z - 23 + 67*z + 23.\nAnswer: 859*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 26. What is the hundreds digit of -9 + 3488\/24 + q\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 16, -0.3, -17, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 76, 109, 146, 187?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 32) + (11 - -11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 - 9 = 0. Let r = -5 + d. Is 8 a factor of (-1)\/(-3) - 100\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/376 and -143\/3324?\nAnswer: 312456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*a - 85, -7*k + 65 = 5*a - 5*k. Solve 0*f = -4*f - 2*m - 2, 5*m + a = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*-2 + 1*sqrt(42)\/sqrt(2))\/(4*(sqrt(825) + sqrt(825)*-1 - sqrt(825))\/sqrt(11))*4.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 + 2 + t**2 + t**3 - t. Let l be p(1). Does 10 divide (2\/2 - -27)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2742 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 25. Suppose 7 = -5*q - b. Let y(h) = -h**2 - 10*h - 3. List the prime factors of y(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 17 = -2*y, -4*n - 3*y = 2*y - 8. Let r be n*(2 - 1)*-1. List the prime factors of (-14)\/(r + (-28)\/8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*a. Let z(s) = 0 + 1 + a. Let b(h) = 4*h**6 - 3*h**2 - 6. Let t(j) = -b(j) - 6*z(j). Find the third derivative of t(k) wrt k.\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10 + 11*b**2 - 10*b**2 - 8*b - 1. Let q be j(1). Let s = -7.85 + 8. Put q, s, 4 in descending order.\nAnswer: 4, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = 5*l + 195, 0 = -4*n - l - 147. List the prime factors of n\/(-8)*10 + 2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.053 + 0.253. Let v = -559\/6 + 6137\/66. Which is the second biggest value? (a) k (b) -8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6472 + 6478. Let u(z) = -3*z - 3. Let x be u(4). What is the remainder when x\/2*(-4)\/2 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1635*j**3 + 74*j**2 - 68*j - 4. Calculate s(1).\nAnswer: -1633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/8)\/(45\/60) + -10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4 = 4*c + 13, -4*c - 22 = 2*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*r - 1)*(1 - 6 - 2 + (0 - 2 + 1)*(1 - 2 + 5))*(-2*r - r - 7*r) to s*r + j + t*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/9177 and 36\/2261.\nAnswer: 156009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-3))\/(20\/(-69420)). Round w to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55, 58, 59, 58, 55?\n\"Answer: -s**2 + 6*s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5 - 15. Suppose -3*b = -p*g + 1175, 3*g - g + b = 470. What are the prime factors of g?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 23. Which is bigger: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, y: 4, o: 5, t: 1}. Give prob of sequence otyo.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2044, 2\/15, 2, 2\/9, 0.1, 3 in descending order.\nAnswer: 2044, 3, 2, 2\/9, 2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10.79 times -2.7101\nAnswer: 29.241979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 8*n**2 + 8*n - 22. List the prime factors of s(9).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1370 + 1429.9. Let z = n + -59. Put 0.3, -1, z in descending order.\nAnswer: z, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -0.4. Let j = 13.65 + 0.35. Let f = -17 + j. What is the third smallest value in -1\/2, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*(-40)\/(-15). Suppose -2*z = a, 2*d + 5*z - 8 = 10. Calculate the remainder when 41 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-4)*(-8)\/3. Let j be (0 - 5)\/(4\/20). Let p = f - j. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 12*t**2 + 13*t + 26. Calculate f(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*a + 186*a = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -29\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 376018862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 13.5. Let p = 16.5 + -16. Sort j, 1, -0.1, p in ascending order.\nAnswer: -0.1, p, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u*u**(1\/4)*u)\/u))\/u*u)\/(u\/(((u*u**(-20)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 - -2488?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 41*b + 167. Let f be a(-4). Solve -1 - 11 = -f*q + m, -5*m + 35 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-63)*(-225)\/(-1000)*(-15)\/(-9).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -444 in 72, 4\/5, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15ee (base 15) to base 4\nAnswer: 1021310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*g + 147. Calculate the remainder when g is divided by 2\/(-3) - (2 + (-400)\/24).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 47226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*l**4 - l**3 + 2*l**2 + 186 wrt l.\nAnswer: -5112*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*a**2 - 28*a**2 + a**3 - 24*a**2 - 27.\nAnswer: a**3 + a**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -11644\/21 (b) 22.7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -21. Suppose -2*d = 2*d + 3*i - p, 3*d + 4 = 2*i. Solve d = -5*k + 5 + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0236 - 11.0236. Put -1\/8, 0.4, -2\/9, x in ascending order.\nAnswer: x, -2\/9, -1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*c + 1380 = 11*g, 4*g + c - 1113 = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 973, 3281, 7781, 15205, 26285, 41753, 62341?\nAnswer: 88781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-21))\/(66\/776391). Suppose 4*s = 4*w - 13420, 2*s - s - b = -2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-30)*4\/((-6)\/(-3))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1228064646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 19 + 44. Find the third derivative of f - 3385*f**2 + l*f**4 - 4*f + 3387*f**2 wrt f.\nAnswer: 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101\/4 + -25. Let v = -407 - -407.4. Let c = 19.17 + -19.2. Put t, -4\/9, c, v in increasing order.\nAnswer: -4\/9, c, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -11. Solve -5*v + 4 = -j, 5*j + 5*v = -24 + h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o**2 - 53*o + 25. What is z(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + -6*-6*((-2*sqrt(76))**2 + (sqrt(304)*1)**2)).\nAnswer: -87572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -17*f. Let q(l) = 7*l + 5. Let v(u) be the third derivative of -u**4\/3 - u**3 + u**2. Let x = -220 - -226. Let p(j) = x*q(j) + 5*v(j). Give p(m(i)).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3122 - 3?\nAnswer: -3125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 84*d + 136 = -45*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/c)**(-21\/5)\/(c**(-2\/9)*c**(-3)) assuming c is positive.\nAnswer: c**(1292\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -15*k**4\/8 - 6*k**3 + 68*k**2. Let n(r) = -r - 1. Give -m(z) + 36*n(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17*k**3 - 27*k**2 - 9*k + 4. Let p(i) = -16*i**3 - 26*i**2 - 8*i + 4. Suppose 8 = -2*o + 4. Let h(l) = o*s(l) + 3*p(l). Factor h(m).\nAnswer: -2*(m + 1)**2*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 449\/3. Let u be 4\/6*3\/(-14). Which is the third smallest value? (a) i (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 19 - 22 - -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10921 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*h - 103 - 3908 = 1089 + 1140 for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 - p. Let c(k) = 5*k**3 - 6*k**2 - 4*k - 2. Determine -6*b(h) + c(h).\nAnswer: -h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -83*j**4\/2 - 195*j - 178. What is the derivative of c(x) wrt x?\nAnswer: -498*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*d + 3 + 35*d - 13*d in the form j + a*d and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*20\/(-6)*24\/(-15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10059876.\nAnswer: 2, 3, 61, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 57*j**4\/4 - 772*j**3 - 9093*j**2\/4 - 1202*j + 285 = 0.\nAnswer: -2, -1, 10\/57, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 92 - 73. Let b = j + 35. What is h in -4\/11*h**b + 2\/11*h + 2\/11*h**3 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 701 - 101. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 0 - (-9 + 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9*-3 + 0. Let m = 1 - f. Let r be 1\/3*m + -1. Solve -h + 3 - 4 = r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 + 11120?\nAnswer: 20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + a. Suppose 16 = -a*p + 148. Suppose 2*u = -5*h + 114, 5*h + 5*u - 28 - 77 = 0. What is the remainder when p is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -969502*f*j**6 - f*j**4 + 26*f*j**2 - 2*f*j + 2*f + 14194*j**2 wrt j.\nAnswer: -116340240*f*j**3 - 24*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/43008 and 43\/78848.\nAnswer: 473088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2)*1\/(-1). Let x = -1\/43 - -460\/21629. Let o = -1501\/4024 + x. Which is the nearest to -2? (a) 5 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + 79. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 p when three letters picked without replacement from lfspkfpa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6686 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34101017 is divided by 3369.\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -753153*q - 1011. Let k be w(13). Round k to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 271187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48136 + 21451 - 2380*h**2 + 4765*h**2 - 2387*h**2 - 204515 - 1360*h.\nAnswer: -2*(h + 340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-2864.\nAnswer: -286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 55*o. Let p(q) = 3795*q. Let l(v) = 4*p(v) - 275*s(v). Let w(x) = -x**2. Calculate w(l(k)).\nAnswer: -3025*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 62566.05 nanograms?\nAnswer: 0.00000006256605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(45\/10 - 3). Let x = 0.06 - -1.94. Let w = x - 2. Which is the second smallest value? (a) w (b) d (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 84810, 169488, 254166, 338844, 423522, 508200?\n\"Answer: 84678*f + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37073 = -5*d - 74557. Let z = 267761\/12 + d. Calculate the common denominator of -93\/28 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 5. Let t be r(-8). Suppose -2*g + 20 = t*g, 5*b - 6299 = -g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86*g**2 - 789*g + 789*g + (2*g - g + 0*g)*(g + 0*g - 3*g) + (-1 + 0 + 3)*(-g**2 - 2*g + 2*g) + g - g**2 - g.\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-2 - -296 - (-3)\/(-3)). Suppose -6*s + w = -628. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 194*k - 2709. Determine p(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**2 + 2457*f + 2467*f - 5043*f + (-4 - f + 4)*(0*f - f + 0*f) + f**2 - 4*f + 4*f.\nAnswer: -7*f**2 - 119*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:40 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 99, 269, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -108.00000034. What is c rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 2*l + 5. Let c(g) = 3*g**2 + 7*g - 16. Let u be (-5*35\/(-50))\/((-4)\/8). Calculate u*v(f) - 2*c(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**7\/210 - y**6\/90 - y**3 - 3. Let f(r) be the third derivative of b(r). Find the third derivative of f(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -16*l + 2. Let h(a) = -24*a - 2. Determine d(h(n)).\nAnswer: 384*n + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3 + 12. Let v be ((-48)\/o)\/(3\/60). Is v\/5 + (-6)\/(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**3 - h. Let q be u(-1). Let w be (1\/2)\/(1\/q). Solve -w*p - 21 = 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62340664 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(2 - 4*a - 2)*(-5*a + 4*a + 6*a).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1059173 and 886.\nAnswer: 1060059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:47 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 30*r - 106. Let n be w(26). Let b be 52\/(-3)*51\/n. Calculate the greatest common divisor of b and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10 + 3 - -6) + (-14)\/5 and 41\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 966463673 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 667, 2782, 6307, 11242?\nAnswer: 17587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1042814826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 4309a?\nAnswer: 43095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33614?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683 (base 12) in base 10?\nAnswer: -2691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -79 - 69 - 101 + 34*h - 96 + 302. Give o(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((8 - (5 + 1)) + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 6*m = -5*f + 72, -4*m = 8. Let h be (-46)\/30*((4 - 23) + f). Factor -h*i**2 + 10\/3*i - 5\/3*i**3 + 0.\nAnswer: -i*(i + 5)*(5*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 117*v + 123*v + 4)*(v - 3*v - v).\nAnswer: -18*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24585031 divided by 9?\nAnswer: 24585031\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89567687 is divided by 44783835?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 28*b - 131. Let k be l(4). Is -46\/25 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111 take away -199391?\nAnswer: 199390.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 2.38.\nAnswer: -66.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11645 + 10651.4. Round o to the nearest 10.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 5*q - 3*q)*(2 - 2 + 2*q)*(2 - 2 - 2)*(-1 - 2 + 1)*(-15 + 11*q + 15)*(-4 + 2 - 2) in the form u*q**3 + x + w*q**2 + l*q and give u.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 73\/3, 3\/4, -0.2, 13, 0.1, -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -442 (base 7) to base 10\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 - 6*h + 7. Let t(g) = -g + 1. Let o(r) = -6*t(r) + z(r). Let s(f) = 5*f**3 + 6*f**2 + 6. What is 6*o(k) - s(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/35 and 51\/507530.\nAnswer: 3552710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*q - 1 + 26*q**2 + 200*q + 315*q**2.\nAnswer: 341*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -19, -14, 0.725?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -14) + -72 + 55 - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38071, -76158, -114237, -152302, -190347?\n\"Answer: q**3 - 2*q**2 - 38088*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2. Let m = 36 + -34. Let y(a) = -29 + 29 + 8*a**m. Calculate n(y(v)).\nAnswer: -192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 843474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2135 + 24684. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 151470.9183611 and -3.\nAnswer: 151467.9183611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2 = -2*v. Let z(s) = 0 - 5 + s + v. Calculate z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37345, -39849, -42353?\nAnswer: -44857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8876)\/22824*(-3)\/(-1).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 60.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7428 - -29535\/4. Let q = 44 + z. Which is the second smallest value? (a) 0.1 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - ((-3337)\/(-329) - (-14)\/(-2))).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 1, q: 1, k: 1, e: 2}. Give prob of picking 1 k and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9494210 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -66 (c) -5 (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttftffxxiftvfifx. What is prob of picking 1 x and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253 and 1656?\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 23. Let u = -11 - f. Suppose o + u*o = 4*r - 285, r - 69 = -2*o. What is the remainder when r is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:26 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.6719 + -18.54. Round d to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 6*a + 5. Let x be u(-6). Let g(z) be the third derivative of z**5\/30 - z**4\/4 + z**2. What is the remainder when g(x) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 9 = -2*r + s, -5*r = -s - 11. Let k be (-3)\/(-2)*(3 - 1). Let p(d) = -2*d + 2*d - d**2 - k*d**r. Let l(f) = -2*f**2. What is l(p(a))?\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 6*f**2 + 819*f + 5684.\nAnswer: -(f - 29)*(f + 7)*(f + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + l + 6 + 205, 5*z + 4*l - 231 = 0. Let v = 41 - z. Let c be (3\/(-6)*1*0)\/v. Solve 2*u - 4*u - 4 = c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -196.39. Let z = d + 3.38. Round z to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = -3, -4*p + 2*x - 178 = 0. Let d = -32 - p. Calculate the remainder when 41 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 10*d = -2, -25 = -m - 2*d. Suppose 1205 = -m*p + 6978. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 + 12*h**2 + h - 21. Let a(o) = o**3 + 2*o**2 + o - 1. Calculate 6*a(s) - z(s).\nAnswer: 3*s**3 + 5*s + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.1 (c) 6809 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 15*m**3 - 13*m**3 + 2*m**2 + 3 to r*m + f*m**2 + x*m**3 + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13199842 times 0.2\nAnswer: 2639968.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(152)\/sqrt(4) + -4*sqrt(38)*-2)\/(sqrt(72)*6).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3\/2*i**3 - 152 - 18*i + 147\/4*i**2 - 3\/2*i**4. Let k(o) = 0. What is o?\nAnswer: -4, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from nwiinya.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18*y. Let r(i) = i + 6. Let w(l) = -1. Let k = 24 + -30. Let n(x) = k*w(x) - r(x). What is f(n(o))?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 317?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h**5 + 8312*h**4 + 87096*h**3 + 54064*h**2 - 446892*h - 151848 = 0 for h.\nAnswer: -9, -3, -1\/3, 2, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8237 - -10436. Calculate the remainder when c is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 112*h - 12. What is j(-37)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 8*c + 10. Let z be k(-5). Suppose y = -5 + 2, 0 = -i - 5*y - 390. Let q be (-550)\/i - (-2)\/(-3). Put z, 1, q in decreasing order.\nAnswer: 1, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 e when three letters picked without replacement from eppppppp?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*t + 2*g + g, 0 = -2*t + g + 37. Suppose -l + t = 4. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 10:54 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 - 529 = -6*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ipippppi.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/104 and -101\/18.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 11. Let u(b) = -b + 4. Let r(p) = -6*m(p) - 17*u(p). Let k(w) = 4*w + 9. What is -2*k(i) - 9*r(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + 2*((sqrt(128) + sqrt(8))*-2 - sqrt(8))\/(sqrt(484) + sqrt(484)*2 - sqrt(484)))**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -58.8, 0.21, 0.2, -0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d - 3*d - d)*(-d + 3*d + 0*d + 2*d - 2 + 2 + 0*d - 2*d + 0*d + (2 + 1 - 4)*(4*d + 0*d - 2*d) - 5*d + 2*d + 2*d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**2*v**4 + 15*d**2 + d*v**4 - 2*d - 9*v**4 - 11*v**2 wrt v.\nAnswer: -96*d**2*v + 24*d*v - 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1390068160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29688.75mg to kilograms.\nAnswer: 0.02968875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 668751606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 + 15985\/54. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2 + 1 + 0. Let f = g + 2. Suppose -f*d + 2*t = 5*t - 45, -2*d + 18 = -t. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let z(i) = 8*i**2 + 15*i - 4631. What is z(g(o))?\nAnswer: 8*o**2 - 15*o - 4631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.4 (b) -4.9 (c) 1 (d) -3 (e) 5\/6 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = 2*v + 2*d, 2*d = 5*v - 11. Suppose v*k - 45 = -9. Let y = -7894 - -7906. What is the smallest common multiple of y and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -157?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2 + 11*k + 12. Let x be h(-4). Suppose -7*z + 6 = x. What is the third biggest value in 2, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26219 + 11963*l**3 - 45581 + 23258 wrt l?\nAnswer: 35889*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 + 4637556*f\/5 + 9275152 = 0.\nAnswer: -10, 2318788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 16*u + 80. Let y(x) = -x**2 - 7*x - 4. Give y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/664 and -25\/2.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10164055 (base 7) in base 11?\nAnswer: -535285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/6)\/7)\/((-34)\/((-20808)\/(-243))).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -16*k + 11. Give u(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*w - 509*w = -5076 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 99 - 96 = -3*u, -5*a + 23 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q + 604723 - 604733 + 5*q - 2*q**2 + 64*q**3 + (-q + 3 - 3)*(-3*q**2 + q**2 + q**2).\nAnswer: 65*q**3 - 2*q**2 - 2*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Suppose 5*f = 3*q + 35, 4*f + p*q = -f - 5. Solve 4*j - 7 = -5*l, 3*l - 3*j + f = 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 7:08 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152310250?\nAnswer: 2, 5, 609241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 - 1 + 3*p + p + 1 - 1 + (-2*p + 2*p + p)*(1 + 1 + 0).\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)*(21 - 7). Let n(v) = -5*v**2 + 3*v - 3. Let k(g) = -24*g**2 + 14*g - 14. Let j(o) = x*n(o) + 3*k(o). Let q(c) = 5*c. What is q(j(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 9496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1961975.5 rounded to the nearest 1000?\nAnswer: 1962000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 862\/431 + (0 - (1 - 0))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - (sqrt(220)*-2 + sqrt(220)))\/sqrt(11) + (sqrt(180) - sqrt(180)*-1 - sqrt(180)))\/(-1*-2*sqrt(20)\/sqrt(2)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1874 + 1840. Let y(d) be the second derivative of -11*d**3\/6 + d. Let h(u) = 2*u. Calculate j*h(s) - 6*y(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:07 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - q = -0*q, 3*z + q = 0. What is the derivative of 3*w**3 - 2 - 1 - w**3 + z*w**3 wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045572.\nAnswer: 2, 41, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:05 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227 + -213. Suppose g - x*g + 4329 = 0. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b - 0. Let n be b\/6*(-6)\/3. Let v = -0.02673 - -0.52673. What is the third biggest value in -2\/7, 5, v, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 = -5*k + 2*j, 0 = -3*j + 3. What is the remainder when k is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3984176 in decreasing order.\nAnswer: 5, 1, -3984176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -30*k + 45. Let b be y(-4). What is the highest common divisor of b and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -1.6. What is the closest to 1 in -2\/3, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -4, 1\/4, -5 in descending order.\nAnswer: 3\/5, 1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (9 - 12 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:31 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971406 take away 4?\nAnswer: -1971410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/30 + s**5\/20 - 16*s. Factor l(u).\nAnswer: u**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363648 divided by 45456.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14841685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 784 = -436. Let a = 73 - w. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5 + p + 4*p + p. Suppose 12 = -0*m - 2*m. What is the lowest common multiple of 7 and o(m)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(120) + (sqrt(120) + (sqrt(120) - sqrt(120)*4 - sqrt(120)) - sqrt(120)) - sqrt(120)))\/((1*sqrt(100)*-6)\/sqrt(10)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 43 - (102 + -96).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 2*y)*(-7*y + 2*y + 4*y) + (-4*y - 64 + 64)*(0 + 0 - 2*y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s**2 + 2*s + (0*s + 2*s + 0*s)*(-s - 1 + 1) - 2*s**2 - 2 + 2 + s + s**2 - s)*(52777*s - 52803*s + 1 + 0).\nAnswer: 104*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sar when three letters picked without replacement from {u: 1, a: 1, r: 1, s: 1, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*u**2 - 4132*u - 66096 with respect to u.\nAnswer: 18*u - 4132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k + 1\/3*k**3 + 0*k**2 - 1. Let u(y) = 3*y**2 + 4. Let v(m) = -5*g(m) + 2*u(m). Differentiate v(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 29. Let y be x(13). Sort y, 1, 6 in ascending order.\nAnswer: y, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 372.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19525, 20543, 21561?\nAnswer: 22579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -11, -0.3, -7923, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*t - 6, -5*t + 6 = 4*d - 7. Suppose 2*s - 25*r - 162 = -22*r, 0 = -d*s - 5*r + 130. What is the greatest common factor of 225 and s?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 27 = -3*d, 2*d - 6*b + 3*b + 13 = 0. Let h = -5 - d. Solve 2*m + m = -h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 plus 16782?\nAnswer: 16844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9*z + 2098 = y, 4*y - 3*z - 8399 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 502 and 27.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1127 and 15094156.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-36) - 1\/(27\/(-1344)). What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 8. Let c(k) = -2*k - 5. Let s be c(z). What is the second derivative of -16*m**4 + 2 + s*m**4 - 2 + 3*m wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/2)\/d**4 assuming d is positive.\nAnswer: d**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-124)\/(-6) + 6\/18. Let t be 2\/7 + 456\/k. Let i = 3 + -1. What is the highest common divisor of i and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 13 + 8)*(-3*z**3 - 4*z**3 - z**3).\nAnswer: -104*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 4*p - 3. Let i be a(-3). Let t be 0\/((-4)\/20*-5). Suppose -5*m + 15 - 20 = t. Put 3, i, m in increasing order.\nAnswer: m, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2*p + 2)*(p**2 + 6*p**2 - 4*p**2).\nAnswer: -6*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15126680*f**3 + 1262*f**2 - 508*f - 1 wrt f.\nAnswer: 90760080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 3*j + 3. Let i = -313 + 315. Let g be a(i). Let x be (0 - -1)\/((-2)\/10). Sort 5, -4, g, x in increasing order.\nAnswer: x, -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 60*z + 8. Let n(p) = 9*p + 1. Let w(o) = 4*g(o) - 28*n(o). What is w(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10756 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: What is (15\/(-5))\/(6\/4)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*j - f, -24 = -21*j + 25*j + 4*f. Is 2 a factor of (2 + 113)*(36\/(-20))\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 5)\/8)\/((-1)\/(-2)). Let l be (32 + 2 + 0)\/p. What is the least common multiple of 24 and 4*5\/20 - l\/2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/2 + 31\/4. Let j = 60 + -60. Which is the third smallest value? (a) j (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d**4 + 11*d**4 - 2*d**4 + (2 - 1 + 5)*(d**4 + 5*d**4 - 2*d**4) to g*d**3 + c*d + u*d**2 + n*d**4 + y and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -25. Let u = -2 + s. Let j = u + 93\/7. Which is the third smallest value? (a) 0 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (8 + -1 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2475 = -2224*v - 251 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7342 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = s - 72, -3*s + 8*s + 60 = -3*w. Let f = 5638 + -140982\/25. What is the common denominator of w and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -125, -223, -359, -545, -793, -1115, -1523?\n\"Answer: -2*p**3 - p**2 - 55*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14*l - 26. Let c(b) = -3484*b**2. Give w(c(k)).\nAnswer: 48776*k**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 6\/919, 166, -0.2 in descending order.\nAnswer: 166, 0.14, 6\/919, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 31. Let r be (-12)\/21*g\/(-30). Factor -r*h - 4\/3 + 2*h**2.\nAnswer: 2*(h - 1)*(3*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -13, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12098.\nAnswer: 2, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -439c + -1?\nAnswer: -43a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8493122ml?\nAnswer: 0.0008493122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8240 = 15*q + 5*q. Let o = 418 + q. Solve -3*h + 2*j = -0*j + 2, 5*h + o = 4*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*j - 6. Solve -j*o + 15 = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/2 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*r**3\/3 + 179554340*r**2\/3 + 51301237*r\/3 + 1221458.\nAnswer: (r + 3664374)*(7*r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -21, -17, -13, -9, -5?\n\"Answer: 4*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 425.61 + -425.6100075154. Round j to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147766.\nAnswer: 2, 73883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 + 2. Suppose 0 = 6*v + 23 + 43. Let w(r) = -r**3 - 10*r**2 + 10*r - 9. Let i be w(v). Which is the closest to 1? (a) i (b) -0.9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -387 in decreasing order.\nAnswer: 3, -2, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**3 - 6*t - 5. Let p be z(-1). Is 24 a factor of 30\/(-6) + 1 + (p - -286)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 428, 443, 488, 581, 740, 983?\n\"Answer: 3*x**3 - 3*x**2 + 3*x + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*v = 23, -103259*w + 103322*w - 5*v = 214 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-16))\/(5\/80*6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36783 - -7401. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t**2 + 69*t**2 - 128*t**3 + 130*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -13. Suppose -p - 24 = -b*z, 0 = 2*z - z - 3. Let w(y) = y**2 + 9*y + 12. Does 12 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 5. Let j be k + ((-6)\/(-2) - 1). Solve -2*i - 10 = 4*b, -j = 3*i + 3*b + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3050 - 3045. Solve 7*y + n = c*y + 9, -y = -5*n + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 991, 998, 1007, 1018, 1031, 1046, 1063?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -132*p - 1548. Calculate the least common multiple of k(-13) and 11.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*x**2 + 836*x**2 - 406*x**2.\nAnswer: 1079*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from cccjjccj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.151319mm in meters?\nAnswer: 0.004151319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 7*l = 49875. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 86.52. Let g = q + 0.519999784. Round g to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200313 - 3?\nAnswer: -200322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 706\/(-54) + 13 - (1 + (-771)\/567).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x. Let z(m) be the first derivative of 70*m**3 + 1441. Give y(z(b)).\nAnswer: 840*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-912 + 2336 + 1102)*(4 - 2 - 11 + j).\nAnswer: 2526*j - 22734","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l + f - 5*f, 2*l - 2 = 4*f. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 91688.79.\nAnswer: 91688.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 18633*a - 409923. What is i(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -i + p, -3*i - 7*p - 27 = -2*p. Let u = i + 5. Is -4 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o**3 - 567*o**2 - 272*o + 1717. Calculate y(-51).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 4*n + 2. Let o be i(4). Sort -23, o, 0.\nAnswer: -23, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13002 (base 4) to base 7.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4304959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2096 - -0.4?\nAnswer: -2095.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0.5. Which is the nearest to y? (a) -5 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2884639291.\nAnswer: 41959, 68749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2155*c**3 + 2*c - 2230*c**3 + 4348*c**3.\nAnswer: -37*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23322 divided by 3?\nAnswer: -7774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-169)\/(-2))*20\/(-6) 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 3:23 AM and 8:48 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 1059*u - 1106. Let p(k) = -5*k**2 + 3175*k + 3330. Let h(s) = -3*p(s) - 10*v(s). Factor h(j).\nAnswer: -5*(j - 214)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 4, r: 3, s: 1}. Give prob of picking 1 s, 1 r, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-10))\/(3\/(-12)). What is the greatest common factor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*w - 21*w + 38 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ad71 - 5?\nAnswer: ad6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 8*p**2 - 14*p + 3. Let v be a(-6). Suppose -6*n = -v*n + 7983. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Suppose -3*c + c + 26 = 0. Let u = -9 + c. Solve 2*x = -u*r - w, -3*x + r - 4 + 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/819 + (2204\/(-377))\/(3\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -774943722 + 0?\nAnswer: -774943722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:04 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/160 and 73\/12720?\nAnswer: 25440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 723?\nAnswer: -5\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - k = r - 1, -5*k - 5*r - 35 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 135*f - 1570. Let k be m(12). Solve 23*a + 142 = k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321567\/20 - 16083. Suppose 3*z = 6, 12*z - 27905 = 3*t + 17*z. Let c = t - -111755\/12. Find the common denominator of w and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1732*v**5 - 949128*v**4 - 7424164*v**3 + 28989888*v**2 - 20709904*v + 95040 = 0. What is v?\nAnswer: -540, -11, 2\/433, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361660, -723321, -1084982, -1446643?\nAnswer: -1808304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 613180 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4240, 2 in decreasing order.\nAnswer: 2, -11, -4240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 + 6*l - 4. Let f be w(4). Suppose 0 = f*v - 13 + 1. Suppose -4*p = -v*k - 141, k - 156 = -5*p - 2*k. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171622386.\nAnswer: 2, 3, 13, 31, 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 54. Let f = 20 - x. Which is greater: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqiiqbbquuqiiqq. Give prob of sequence uqi.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11671 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -88*s. Let v(a) = 11*a. Determine v(d(u)).\nAnswer: -968*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19143 + 36629. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -1) + (-79 - (-55 - 35))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 10*r = -44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + (67 - 62)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 567 + -553. Does 3 divide (-9)\/63*-3 - (-1674)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 5*d - 75 = -5*p, -2*d - 4*p + 20 = 0. Suppose 0*i = -5*m - 3*i + d, -3*m + 4*i = 17. What is the greatest common divisor of m and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 2*h**2 + h + 2. Suppose -4*d - 4*d = -16. Calculate t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*m**3 - 2*k**3*m**2*y + 4*k**3*m + 4*k**2*m**2*y + 4*k*m**6*y + 2*k*m**2*y + 118*m**3*y + 20*y wrt m?\nAnswer: 12*k**3 + 480*k*m**3*y + 708*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - i)*(2*i + 0 + 0)*(-285*i + 285*i - 3*i**2 - 4).\nAnswer: 6*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-2*9\/36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4 = -4*t, -51*u - 4 = -47*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.1, 2\/3, -0.01 in descending order.\nAnswer: 2\/3, 0.1, -0.01, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3112 - 124?\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 355669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22257 and 429797508?\nAnswer: 7419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - (226\/8 - 13\/26) and -3 - ((-273)\/24 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102\/13 in -0.21, 0.3, -1\/6, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 3 + 6 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1563463750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13650 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 p, and 1 g when three letters picked without replacement from {z: 3, p: 6, g: 2, e: 4}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592324 a multiple of 1769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 153251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -85078 (b) 1\/5 (c) -58 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 8, 4, 43, 5, -3 in ascending order.\nAnswer: -3, 4, 5, 8, 37, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -7, 1036.\nAnswer: -7, 1, 3, 1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15563684069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -389817009 divided by -6\nAnswer: 129939003\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2218 - 1438. Let h = -780 + d. Solve h = -p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + i = -4846459, 2*m - 3029490 + 606243 = -3*i. Let s = -4508384 - m. Round s to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -13. Let o = p + -17.5. Is -3 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -6, 1, -4, 161, 5, -1 in descending order.\nAnswer: 161, 15, 5, 1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 29 - 35. Let g(l) be the second derivative of l**3\/6 - l**2 - 2*l. Let h be g(7). Solve -4*u + 3*a - r = 0, 8 = -u + h*u + 3*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 5, g: 1, t: 7}. Give prob of sequence th.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145097 and 7833.\nAnswer: 3047037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmfmmmmmmmm. What is prob of picking 2 f and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 + 2*s**2 + 6*s - 3. Let i(q) = -3*q**3 + 2*q**2 + 5*q - 4. What is -3*i(b) + 4*k(b)?\nAnswer: -3*b**3 + 2*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 7 = -t, 3*t - 8 = -2*l - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*x**2\/2 + 31*x + 9\/2.\nAnswer: (x + 1)*(53*x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 2*c - c**3 - 15 + 0 + 0*c + 10*c**2. Let g be q(10). Suppose -g*d + 5 = 20. Is d less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/3 and 29\/157485018?\nAnswer: 157485018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w**2 + 207*w**2 - 97*w**2 in the form s + u*w**2 + h*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -444*v - 7140. Determine m(-16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.45 + -6.55. Let f = -263\/4 - -65. What is the second biggest value in d, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 501*c**2 - 8*c + 389 wrt c?\nAnswer: 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2419812 and 2688680.\nAnswer: 24198120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 34. Let d be (9*12 - 3) + 0\/k. Suppose 4*j = -5*c + 143, -3*j - 12 = -c - d. Round j to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(24\/(-106))*24\/(-3). Let w be (1 + y)*((-16)\/(-12) + -2). Suppose -a - 2*n = 2*n - 24, -3*n + w = 4*a. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 2*j + 4*j**2 - j**3 + 2*j**4 - 5*j**2 + (75*j**3 - 31*j**3 + 331*j**3)*(j + 0*j - 3*j).\nAnswer: -748*j**4 + j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujuj when four letters picked without replacement from {u: 2, j: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1954342 - 1954332.99997. Let i = d + -9. Round i to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/(-60) - (-4)\/6. Let v = -49 + 49. Which is the closest to v? (a) -2\/13 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4\/6 + 5*y**3\/3 + 10*y**2\/3 - 5*y\/3 - 5\/2 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -643, -16\/7, -2\/7, 1\/18 in decreasing order.\nAnswer: 1\/18, -2\/7, -16\/7, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 9 = 3. What is the smallest common multiple of -1*(-52 - 1) + y\/(-2) and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -63, 0.05, 9\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/35 and -67\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4441499cm?\nAnswer: 4441.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31549824 divided by -6528?\nAnswer: 4833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*t - a - 4, 4*t + 8 = -5*a. Let o be 4 + -1 + (t - -2). Solve 2*d**2 + 2*d**o - 10*d**2 - 4*d**2 + 2*d**3 + 8*d = 0 for d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 10:03 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602 = -4*z + 118. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 60 - 6*x + 108 + 9 - 10*x - 5*x + 22*x.\nAnswer: x + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-6)*68016\/456274?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 5*j + 6. Give u(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*y**3 - 160*y**3 + 268*y**3 - 18*y**2 + 28*y**3.\nAnswer: 385*y**3 - 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 35*k + 9. Let a(f) = -18*f - 4. Let r(s) = 7*a(s) + 3*x(s). Suppose 0 = -7*n + 12*n - 100. What is the least common multiple of r(-1) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/6 + 4\/6. Let k(l) be the second derivative of -2\/3*l**3 + 2*l - 1\/10*l**5 - l**2 + 0 - 1\/3*l**4. What is k(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxtxtt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = -16. Let z be g\/6 - (-6)\/(-4). Let d be -1 + 2 + 3\/(-2). Is d at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -33, -54, -91, -150, -237, -358, -519?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 8*g**2 - 9*g + 8. Let f be s(7). What is the tens digit of -3*(64\/f)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 7*t - 2. Let y = -1 + 5. Suppose -2*g + y = -2*l, g = -0*g + 5*l + 2. Let k be (1\/g)\/(5\/(-50)). What is s(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 (base 9) in base 13?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 1. Let g(u) = 3*u - 24. Let w be g(9). Let b(i) = -3*i**j + 2*i**w + i**2 + 0*i**3 - 2*i + 3*i**3 - 1. Determine b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1163*f**2. Let q(h) = 29*h. What is q(y(j))?\nAnswer: -33727*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1203 in 503, 34, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(42\/15 + -3). Let o(c) = -g*c**2 + 2*c**2 + 2*c**2 - 8*c**2. Let i(h) = 10*h - 8*h - 3*h. Calculate o(i(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18 + 2*y + 1265642*y**2 - 1265643*y**2 + 2*y + 4*y. Give i(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 275*d**3 - d**2 - 1. Is f(1) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1533710353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(12\/(-94))*545121. Let t = g + 3240229. What is t rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-21))**(1\/14)\/(i**(-18))**30)**(-18\/5) assuming i is positive.\nAnswer: i**(-67869\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 231416959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 250 = 188 - 268 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11 + 9 + 2*z**2 + 2. Let a(b) = -2*b**2 + 6*b**2 - 3*b**2. Determine s(a(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10 + -29)*(-8 + 20\/4) is divided by 88?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 11.02. What is v rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 19*a**5\/4 + 19*a**4\/12 - a**3\/6 + a + 47. What is the third derivative of r(d) wrt d?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -62*c - 26. What is n(-2)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {v: 1, r: 2, o: 3, q: 7, s: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 - (-7)\/(-14). Suppose -3*j = -15 - t. Find the second derivative of -41*k + 1 + 32*k + 5*k**j - 1 wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3500\/150*(4\/(-15))\/(1\/(-9)). What is the highest common divisor of f and 12796?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -351283 and 21.\nAnswer: -7376943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 5. Let v(t) = 2. Let y(z) = -z - 2. Let j(i) = -3*v(i) - 2*y(i). Let a(l) = -3*c(l) - 8*j(l). Determine a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100422 and 1047258?\nAnswer: 7330806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -87 + 85 + 3*k**2 - 6*k - 4*k**2 + 2*k**2. Let c be q(7). Calculate the remainder when 11 + (6\/c)\/((-2)\/5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 2271?\nAnswer: 49962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, 5\/2, -1004.8, 0 in ascending order.\nAnswer: -1004.8, -0.1, 0, 0.3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/7, -4, -126\/13, 2\/13?\nAnswer: -126\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*p = 0, 5*c = p - 3*p. Suppose -2*u = -c*u - 8. Solve 4*l = 2*r + 2*r - 20, -u*l - 15 = -3*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10797964 and 56?\nAnswer: 151171496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c + 4*n + 4 = 31*c, 3*c - n = 26. Let h(k) = k**3 - 9*k**2 - 7*k - 24. What is h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from sssevhj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187109\/177 + 1057. Find the common denominator of -16\/11 and c.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004963 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1397, -2722, -4047, -5372?\nAnswer: -6697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-231)\/(-56) - 6\/48. Suppose -y + 5 = 2*n - l, -n + 3*y + 1 = 0. Solve -n*u - 13 - 3 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k - 50. Let r be q(5). Which is smaller: r or 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**2\/2 + 12*y - 5. Let f be t(-5). Find z, given that -f*z**3 - 12*z**2 - 9*z**3 + 2*z + 2*z = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) 7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from zzylhl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from ttuttttit?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/7 - 41*s\/7 - 40\/7 = 0?\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920064 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2062 and -6434055482?\nAnswer: 6434055481.7938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 + -9?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 98217350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 952375517 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 2:54 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 3*n + 55. Let z be i(6). Let d = -956 - -1911\/2. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*q**2 - 6565*q - 133950 = 0. What is q?\nAnswer: -893\/14, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v**2 - 33*v + 22. Let f(j) = 47*j**2 + 131*j - 90. Let k(d) = 22*c(d) + 6*f(d). Find w such that k(w) = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 5*z + 11. Let t be -2*237\/66 + (-58)\/(-319). Determine w(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64345266.\nAnswer: 2, 3, 73, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 - w - 1. Let v(k) = -3*k**3 - 9*k**2 - k - 4. Let c(h) = -5*r(h) + v(h). Let f be c(3). Let o = f - 21. Solve -x - o = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1\/22 (c) -976\/9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 + 2*u**2 + 6 - 4*u**2.\nAnswer: 9*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 103327 = -34*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1660, 6745, 15252, 27181, 42532?\nAnswer: 61305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11399*b + 11393*b + 52109 - 52108.\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(4\/532) + 94\/235?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -591*y. Let z(b) = -4*b. Determine p(z(t)).\nAnswer: 2364*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w**2 + 11*w + 11. Let z be 200\/25 + (-5 - 2 - -1). Let u(g) = 7*g**2 + g + 20 - 19 - 12*g**2 + 4*g**z. What is 4*b(v) - 44*u(v)?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4294 - 26842 = -7*b. Is (-6)\/(-9) + 0 - b\/(-6) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 0*c**2 + 6*c + 7\/3*c**3 + 1\/4*c**4 - 18. Let l be j(-7). Calculate the highest common divisor of 60 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*q = -3*f + 5, -2*q + 31 = 5*f. Suppose -5*c = 18*r - 19*r + 7, f*r = c + 35. Solve 0 = l - r + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7532 and 112.\nAnswer: 30128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 4, -0.5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 35*l - 7. Let c(t) be the first derivative of -t**3\/3 - 29. Give c(q(h)).\nAnswer: -1225*h**2 + 490*h - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7789?\nAnswer: 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 3*u - u - 6*u - 6 + 6 + (-u - 2 + 2)*(-3 - 2 + 3) to the form m + l*u and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 46 = -x - 2*x, -4*x - 16 = 0. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*u**4 + 70\/9*u + 44\/9 - 22\/9*u**3 + 2\/3*u**2 = 0. What is u?\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppep when four letters picked without replacement from ppppzez.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 2. Let o(z) = 3*z - 3. Let a(v) = 3*v - 3. Let q(r) = 3*a(r) - 4*o(r). Let j(n) = -6*i(n) + 5*q(n). Differentiate j(x) with respect to x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnn when three letters picked without replacement from {h: 4, n: 4, w: 1, v: 3, x: 1, q: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, d: 2, r: 1, a: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**14*t*t)\/t*t**16)\/(t\/t**0*t)**6 assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/2 - 109*z - 220 = 0.\nAnswer: -2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -602 divided by -301\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2 = 12. Let h(s) = -s**3 + 2*s. Let g(i) = -i**3 + i. Let c be (-6)\/3 + 2*-1. What is c*g(p) + m*h(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 12*u**2 - 14*u + 73. Let q be n(9). What is the highest common factor of 31 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 + 4 = 0. Suppose 9 = 2*f + a. Determine d so that -2*d**4 + 0 + 3*d + d**2 + 3 - 2 - 3*d**f = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9631 divided by 2.\nAnswer: 9631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 168*o + 0*o**2 - o**2 - 168*o. Suppose -3*r = -2*v + 18, -3*v + 2 - 5 = 3*r. Let p(k) = 2*k**2 - v*k**2 - k**2 + 4*k**2. Determine z(p(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n + 25. Let m(z) = z - 4. Suppose 129*y + 14 = 127*y. Let o = y + 3. Calculate o*t(i) - 25*m(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - n + 4*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5142400 + 22?\nAnswer: 5142422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3198148*q**2 - 952785*q.\nAnswer: 6396296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -742431*i. Let j(g) = 45*g. What is j(r(y))?\nAnswer: -33409395*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1977 - 1950. Calculate the highest common divisor of 19 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 3*f**2 - 3*f**2 - 23*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7.054. Let m = n - 0.0567. Round m to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14682\/5 - 2951. Is u greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*s + 1 - 1)*(-4*s - 595*s**2 - 11*s**3 + 595*s**2).\nAnswer: 297*s**4 + 108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**19)\/k)**(-2\/97)\/((k**(-3\/14)*k)\/(k\/k**(-7\/6)*k*k)) assuming k is positive.\nAnswer: k**(6047\/2037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:02 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*h - 237, -r + 464 = 3*r - 4*h. Suppose 0*x - 3*x = -r. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024707 rounded to 7 decimal places?\nAnswer: -0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3*5\/6))\/((-4)\/60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*s**2 + 2426*s + 277883?\nAnswer: 124*s + 2426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 - 4 = 3*n - 4*w, 2*w - 57 = -n. What is the remainder when 151 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.61828787 take away 0.31576?\nAnswer: 38.30252787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*g - 2. Let h(a) = -a - 1. Let l(u) = -88*u**3 - 4*u - 5. Let k(p) = g*h(p) - l(p). Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.946 + -0.054. Which is the biggest value? (a) 2\/7 (b) -2\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x - 16. Let s be z(12). Suppose 7*v - 2*v - s = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v - 21. Let h be f(-5). Let n = h - -62. Let d be 3\/n - 78\/(-18). Solve 5 = 3*p - d, -2*m - 5*p + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/621 and 107\/2346.\nAnswer: 21114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25165193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 363, -0.262, -4 in ascending order.\nAnswer: -4, -0.262, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2987, -2980, -2971, -2960, -2947, -2932, -2915?\nAnswer: -2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 248*x - 261*x. Let j(t) be the second derivative of -14*t - 1\/12*t**4 + x*t**2 + 0 + 0*t**3. Let g(n) = -36*n**2. What is j(g(c))?\nAnswer: -1296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - 2010121?\nAnswer: -2022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*w + 19 = 0, 93 = 4*h - 5*w + 88. Solve -2*j = -d - h, -3*j - 94 = 3*d - 79 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 6\/11, 0, 0.01318?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-1682)\/(-6728)) - 1010*3\/1014\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 - 0.21. Which is the nearest to t? (a) -4 (b) -0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -552.9 times -0.22\nAnswer: 121.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171\/2 + -3233\/38. Let w = -137\/190 + i. Is -0.2 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - (3 + -2 + sqrt(162))) + 3)*5 + 4 + 5)**2 + 1.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2226, -7638, -16484, -28770, -44502, -63686?\nAnswer: -86328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(280))\/(-2*sqrt(160)))\/(-2*-1*sqrt(64) - sqrt(64)*-1*6).\nAnswer: -sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gigr when four letters picked without replacement from {m: 3, r: 6, i: 2, g: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m + 1. Let o(c) = -3*c - 3. Suppose 0 = 27*j - 30*j - 9. Give j*o(l) - 9*v(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*j + 702 + 183*j + 151*j with respect to j.\nAnswer: 303","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110202 (base 4) to base 11\nAnswer: a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 16 + 34. Suppose -3*b + t = w - b, 4*w + b - 48 = 0. Suppose 2*m - 452 - 16 = 0. Calculate the greatest common factor of w and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177073\/12 - -14768. Find the common denominator of 81\/22 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6328 times -0.11\nAnswer: -696.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (29 + 1 - (9 + 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 0*v + 4*v + 2*v**2 + 16 - 12. Suppose 6 = 2*m - 4*t, -4*m = -2*m - 2*t. What are the prime factors of h(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35362 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*h**2 + 175*h**2 - 76*h**2 + 44*h**2.\nAnswer: 371*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 210*-8\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/21 - 4185\/35. Let m = -119 - z. Suppose -4*w + y + 0*y + 229 = m, 4*y - 128 = -2*w. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*t + 23. Let w = t - 22. Which is bigger: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/17 (b) -3 (c) -6 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 + 15 = 0. Suppose 3 = -q*s + j, -3*s - 2*j + 9 = -5*j. Let z(v) = -v**2 - v. Let w(h) = -2*h - 1. Let l(r) = w(r) + z(r). Calculate l(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252242 + -253373.01. Let s = r + 1126. Round s to one decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = -24*d + 696 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 1 + 2 - 6. Let w(a) = 2*a + 2. Let u(i) = 3*d(i) + 2*w(i). Let j be u(10). Let h(p) = p - 7. Determine h(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/5, 2, 0.4, 57, 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/217*(-21)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 313978 greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from knnynnvyyxkx.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938, 1887, 2836, 3785?\nAnswer: 4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 + 3*r. Suppose -f + t + 3 = 0, 0*t = -f + 2*t + 3. Let v be d(f). Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54835 - 34512. What are the prime factors of s?\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10032140232 - 11?\nAnswer: -10032140243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 12 = -4*r, 8*v + 947*r - 946*r + 82 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s + 1071. Let n = s + -530. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 37. Let h = -4 + f. Suppose -2*j + 24 = 2*l + 2*l, 5*l - 5*j = 60. What is the smallest common multiple of h and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*q*v + 3*f*q - 160*f*v + 1391188*q*v + 56409*v wrt q?\nAnswer: -2*f*v + 3*f + 1391188*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/3)\/3 + 9. Suppose 0 = 9*a - 4*a - q - 2839, 2256 = o*a + 3*q. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.249 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * -2121.\nAnswer: 699.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 4. Let f be d(-2). Let h(i) = 19*i**3 - 7*i**2. Let t(w) be the second derivative of 3*w**5\/10 - w**4\/6 - w - 201. Give f*h(m) + 7*t(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6))**24)**(-31) assuming q is positive.\nAnswer: q**4464","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 8*b**5\/5 - 17*b**4\/2 - 32*b**3\/3 + 5*b**2 + 59. Find p, given that u(p) = 0.\nAnswer: -1, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 357?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let h(r) = r - 4. Let v(q) = q**3 - 6*q**2 + 6*q + 1. Let f be v(5). Let d be h(f). Put d, j, -3 in ascending order.\nAnswer: -3, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.58, -5, -24.01, -0.5, 2.\nAnswer: -24.01, -5, -0.58, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 51*b + 3. Let o be j(4). Let x be ((-6)\/15)\/(o\/105 + -2). What is the second derivative of 5*a**3 - 9*a - 2*a**5 - 5*a**3 - x*a**5 wrt a?\nAnswer: -320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -588*l**3 - 3*l**2 - 14*l + 2. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/45)\/((-12)\/(-300))*(-156)\/65\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let t = -15.6 + 14. Let d = t + 1.6. Sort -1, k, d.\nAnswer: -1, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 314, 479, 644, 809?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*j + 96*j + 11*j)*(-14*j**3 - 3 + 3).\nAnswer: -2674*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i - o - 50 = 0, i - 35 = 4*o. Suppose v + 5*t = -39 + 6, -85 = 5*v + 5*t. Let w = v + i. Solve -7 = 5*a + r, -w*a - 3*r + 11 = 2*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 + y - 3. Let o be a(-3). Find the common denominator of 9 and (-6)\/21*159\/o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 9.8. Is u greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1793.00000285 - -1793. Round w to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47512772 is divided by 2849?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15400*u**4 + u**3 - 6459 - 4*u**3 - 30677*u**4 + 15645*u**4 wrt u.\nAnswer: 1472*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304346 rounded to the nearest 1000?\nAnswer: 2304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 4*a - 52. Suppose -2*y - y = -a. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875.0727 days in hours?\nAnswer: 21001.7448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1267*p**3 + 12*p - 691 - 21*p**4 - 15*p + 1256*p**3 + 18*p**4 wrt p.\nAnswer: -36*p**2 - 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 674*q**2 - 7*q - 107. What is the ten thousands digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1352 - 1316 + 0*j - 6*j**3 + 2*j wrt j?\nAnswer: -18*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66437 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2 - 9*h + 10*h**2 + h**3 + 5 + 22*h. Let q be v(-8). What is the third derivative of -3*a**2 - 4*a**2 + q*a**4 - a**2 wrt a?\nAnswer: 648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -204423, -408922, -613415, -817902, -1022383, -1226858, -1431327?\n\"Answer: 3*n**2 - 204508*n + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 69765 times -313\nAnswer: -21836445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1 (c) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46515382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -85, -133, -185, -241, -301?\n\"Answer: -2*r**2 - 38*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24038.\nAnswer: 2, 7, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:10 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 4*t + 7, 5*f - 33 = -4*t. Suppose -4*s = f*s - 79830000. Round s to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/3 - 2*y**2\/3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 27*k - 211. Let a be q(6). Let s(h) = h**2 - 16*h + 4. Does 15 divide s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 6*q + 30. Let v be u(8). Suppose t - 2*p + 1 - v = 0, -5*t - 5*p = -110. Calculate the greatest common factor of t and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 3*j, -6*j - 4*k = -j - 32. Suppose 10*c = 11*c - 98. Suppose 0 = 9*o - 2*o - c. Solve -2*f = o - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c + 14*c + 12*c**3 + 0*c**3 + 0*c**3 - c**3 + (-5*c + 0*c + 3*c)*(3*c**2 + 5*c**2 - 2*c**2) in the form s*c + t*c**2 + k*c**3 + o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 1. Let j be f(1). Suppose -j*o - 1 = -21. Let c = -120 + 124. What is the remainder when o is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/(-360) - (-4)\/(-30). What is the nearest to n in -1\/4, 5, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -1.2732.\nAnswer: -1.3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12 - (-27)\/4. Suppose 0 = 4*h + o - q, -19 = 2*h + 3*o + 2*o. Find the third derivative of 4*g**2 - 25*g**h - g**2 + 19*g**3 wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z - 5. Let h be q(-9). Let p be (-24232)\/(-130) - 15\/(-25). What is the highest common divisor of p and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 206*b + 6 + 1)*(2*b**3 + 3 - 3) to the form q*b**4 + v*b**3 + n + c*b**2 + k*b and give q.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 43*o**2 - 4*o - 8. Calculate y(-2).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19740\/(-4512)*2\/(-10).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2460 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 0*v - 5\/4*v**4 + 0*v**2 + 20*v**3 + 70. Factor t(f).\nAnswer: -5*f**2*(f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 203\/5. Put -3, z, 0.4 in decreasing order.\nAnswer: 0.4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 l when four letters picked without replacement from {h: 4, a: 2, v: 1, l: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 235*q - 226*q - 8445600. Let g be q\/(-18)*(-90)\/(-4). Round g to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2527.4 - 2526. Put l, -3, 0.04, 5 in increasing order.\nAnswer: -3, 0.04, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 983*d*f*g + d*f + 75*d*g + 6*d + 15*f**2*g + 286*f**2 - 28530 wrt f?\nAnswer: 983*d*g + d + 30*f*g + 572*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11306*-0.1\nAnswer: -1130.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -35104 not equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b**4\/4 + 47*b**3\/4 + 371*b**2 + 277*b - 80 = 0. Calculate b.\nAnswer: -10, -1, 2\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 176. Suppose -5*k + 663 = i. Suppose -k - 28 = -4*m. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-80) - (-33)\/5. Suppose h*d - 2*d - 75 = 0. Solve -2*v + v - 4*k = 13, v - d = 3*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 22*n**2 + 45*n + 480. Determine m(-23).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/2 - 166*y**3\/3 - 1763*y**2 - 3362*y - 833. Let a(s) = 0. What is s?\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 27 - 33 = -o, 5*i + 4*o - 24 = 0. Solve 3\/4*f**5 + 39\/4*f**3 - 9*f**2 + 3*f - 9\/2*f**4 + i = 0 for f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2. Let q(t) = 11*t. Let p(z) = -54*z. Let u(w) = 5*p(w) + 24*q(w). Determine u(c(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 8*c**2 + 8*c + 32. What is q(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 1506\/210 - (-4)\/10. What is the smallest value in -5, -1, p, -1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -781\/114 - -400\/57. Determine t so that 1\/2*t - 1\/2*t**4 + 1\/3*t**2 + p - 1\/3*t**3 - 1\/6*t**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183545045, 183545046, 183545047, 183545048, 183545049, 183545050?\nAnswer: 183545051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 5*x)*(-9 + 9 - 3*x)*(1 - 4 + 2)*(-3*x + 2*x**3 + 3*x).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2563 + -2562.9999967. What is p rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -106, -786, -2622, -6190, -12066?\n\"Answer: -96*i**3 - 2*i**2 - 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -v + 5, -v = -0*o - 5*o + 4. Let w be ((-4 - 34\/(-9))*-9)\/(-7). Which is the nearest to w? (a) -1 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547521 divided by -182507.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/3 - 66*d**2 - 134. Let f(v) be the second derivative of j(v). Let p(k) = 23*k. Calculate f(p(l)).\nAnswer: -184*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t - 791 - 289 = 0 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819138*j + 17*t = -1819136*j - 20, 0 = -j - 5*t + 10 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*h = -8, -4*i + 19 = -4*h - 1. Suppose -8 - 4*k**2 - 9*k - 27*k - 9*k**i - 3*k**2 = 0. What is k?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 436, 110954, 3.\nAnswer: 3, 436, 110954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570661 and 3549?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 3*v**5 + 0*v**2 + (-3*v**2 + 2*v**2 + 2*v**2)*(v**3 - 3*v + 3*v).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7831, 19546, 31263, 42982, 54703, 66426?\n\"Answer: w**2 + 11712*w - 3882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 15*j. Let k(u) = -4*u + 52. Let y be k(14). Let b(i) = i**2 + 4*i - 8. Let l(c) = c - 2. Let n(x) = y*l(x) + b(x). Determine w(n(f)).\nAnswer: -f**4 - 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27549?\nAnswer: 3, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1144*g*o**3 + 4*g*o**2 + 2*g*o - 5*o**3 + 1324*o**2 + 1 wrt o.\nAnswer: -6864*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15216 = -12*r + 60*r. Find the second derivative of 319 - 5*y + r - 634 - 48*y**2 wrt y.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - k + 3*k + (-71*k - 660*k + 150*k)*(-3 + 2 + 0)*(4 - 2 - 1) + 4*k - 4*k + 2*k in the form b*k + u and give b.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**5\/3 + 10*a**4\/3 + 50*a**3\/3 + 10*a**2\/3 - 46*a\/3 - 20\/3 = 0.\nAnswer: -2, -1, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1533 and -80\/21.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d - 27*d - 2*d**2 + 10.\nAnswer: -2*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muvm when four letters picked without replacement from usqnvmm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46842642 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*k + 40, 0 = -197*r + 198*r - 4*k - 7 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.2, 1\/136, 2\/5, 1\/7, -0.72?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12 - 5*w - 12 + 3*w. Let k(i) = 1215*i**2 + 1134. Let m(n) = 2*n**2 + 2. Let p(y) = 2*k(y) - 1134*m(y). Determine p(b(z)).\nAnswer: 648*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/1010 (b) 4\/3 (c) 0.05 (d) 1\/3 (e) -2 (f) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*l + 2799238 = 301*l. List the prime factors of l.\nAnswer: 2, 13, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 7*t - 40. Let w be 2 - t - (-592)\/180. Let r = -1\/9 - w. Which is the nearest to r? (a) -0.3 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (-102)\/(-21))*-1. Which is the closest to -1? (a) -0.1 (b) p (c) 1 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17746304 is divided by 11050.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.1 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -81. What is the units digit of p\/((-2 - -3) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906623 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - 3 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 3*o**2 + 4*o**2)*(6*o + 2*o + 6*o**3 - 5*o) + (-o**4 + 0*o**4 + 2*o**4)*(10*o - 23*o + 0*o).\nAnswer: 5*o**5 + 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:23 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from fkhkz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 2*a**2 - 3*a**2 + (a + 2*a + 7*a)*(0*a + a + 0*a).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2*k*k)**(-9\/7)\/(k**(3\/7)\/(k\/(k\/(k*k**(-15)*k*k))*k)))**(-7\/6) assuming k is positive.\nAnswer: k**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*m + 7*m. Let c be 2\/(m\/((-40)\/(-2))). Suppose -c = -3*w + 4. Solve -w = -l + 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 3)*(q + 1 - 1) + (-13 - 9 - 11)*(2*q - 6*q + 2*q))*(-4*q**2 + 4*q**2 + 4*q**2)*(5*q - 5*q + 2*q**2).\nAnswer: 512*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55712 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326151 take away -291439?\nAnswer: 2617590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 4. Let c be m(-4). Let j be c*2*(-2)\/4. Suppose 1688 = 4*p - j*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24139, -24181, -24223, -24265, -24307?\nAnswer: -24349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:33 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:10 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43119 and 870365.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -3269?\nAnswer: -3270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 divided by -4?\nAnswer: -339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1. Let y(w) = w**2 + w - 2. Let c(v) = 2*s(v) + y(v). Let o(h) = h**3 - 3*h**2 - 3*h + 1. Let j(i) = 6*c(i) + o(i). Suppose j(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -2498?\nAnswer: 25\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:15 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5103257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1059266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 + 12337?\nAnswer: 12253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 30 - 28 + 2 - 16*n + 24 in the form m*n + a and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4180*f + 1871356 - 1871356)*(15 - 7*f - 15) in the form b*f**2 + t + w*f and give b.\nAnswer: 29260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**4 - 3*h**3 - 2*h**2 - 21. Let z(i) = 2*i**4 + 3*i**3 + i**2 + 21. Let l(u) = 3*r(u) + 4*z(u). Find the third derivative of l(o) wrt o.\nAnswer: -24*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**4 + 0*i**4 - 2*i**4 + (-2*i**3 + 6*i**3 - 3*i**3)*(28 - 28 - 82*i) as h*i**3 + p*i + z + b*i**4 + g*i**2 and give b.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p**2 - 70550 + 2*p - 4*p + 70340 + 2*p to h*p + n*p**2 + o and give o.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (151 - 151) + (-2)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28096?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 6 - 7)*(2*s**2 - 2*s**2 - 3*s**4).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1524.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 78, -1828, -4, 5 in increasing order.\nAnswer: -1828, -4, 0, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - s + 2 - 1 = 0, 0 = -3*w - s + 5. Let i(q) = -3*q**w + 2613*q - 2613*q. Let f(b) = b**2 - 3*b. Determine f(i(d)).\nAnswer: 9*d**4 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -30*r**2 + 2*r - 1. Let d(h) = -2. Determine -d(y) + i(y).\nAnswer: -30*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21891 - 13504. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*n*w**2 - 42*n*w - 31*n + w**2 - w - 126 with respect to w.\nAnswer: 52*n*w - 42*n + 2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 27*v - 8*v)*(3 + 0 + 0)*(6 - 10 - 3).\nAnswer: 630*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1044*b**4 + 1047*b**4 - 157*b**4 + (2 - 2*b**2 - 2)*(b**2 + 2*b**2 - 4*b**2))*(3*b - 2*b - 3*b).\nAnswer: -3872*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 0.01. Let i = 3 + y. Let a = i + -3.5. What is the nearest to -0.1 in -3\/5, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755*o + 74 = -1763*o + 5*m, 0 = 5*m - 50 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**5 + 2*a**5 + 2*a**5 + (87*a - 87*a - 18*a**2)*(-2*a**2 + a**3 + 2*a**2).\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 1. Let q be t(-3). Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3413, 3415, 3417, 3419?\nAnswer: 3421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728386.\nAnswer: 2, 364193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b - 56*b = 50 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-45297\nAnswer: -22648.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 5761 = 5705 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 22934*g - 22937*g = 54, -4*g = 4*a + 52 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 29*r**2 + 31*r + 26. Give a(28).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21432 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1896081*p. Let t(d) = 28*d. Determine t(r(m)).\nAnswer: -53090268*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 - 909*y**2 - 177391*y - 144. Give z(-135).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/(2\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234620 is divided by 759?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 4. Let z be o(5). Let t(j) = 5*j - z + 2*j**3 - 12*j + 10*j**2 - 3*j**3. What is the units digit of t(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59901 + -34381. List the prime factors of l.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -19*m**4\/24 + 13*m**2 + 4. Let z(s) = 5*s. What is b(z(u))?\nAnswer: -95*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a97719 - 0?\nAnswer: -4a97719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*-1*1\/2. Suppose -m = v - 14, -26 = -3*v + v - 3*m. Suppose 0 = z - 5*q - 14, z - v = -2*z + 2*q. Solve -4*u = -0*u + 12, i*o = z*u - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = -3*l, 0 = -2*t + 5*l - 0*l - 15. Let f(n) = 22*n**2 + 5*n + 5. Let w be f(t). Suppose -9*u - u + w = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1062 - 0)\/(3\/2). Let s = c + -31. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 1373551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*g - 220 = -a, -5*g = 4*a - 131. Let t = -29 + a. Is (t + -9)\/(2\/838) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**2 + 90*x**2 - 126*x**2 - 234*x**2.\nAnswer: -289*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 983*j - 987*j + 35, 3*j + 2*u - 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/45*36\/8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 64.73389 kilograms?\nAnswer: 64733890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 + -0.12. Let h = -8.09 + f. Which is the nearest to 1? (a) 0.3 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 199*d + 200*d = -8, -5*r - 4*d = -73 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*l**3 + 25*l - 387?\nAnswer: -18*l**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 13 - 5 - 8*d**5 + 6*d + 10*d**5 + 3*d. What is the derivative of b(m) wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y + 0*y - 2*y)*(3 - 6 + 1) - 2*y + 4 - 4 - 2*y + 4 - 4)*(7*y**2 - 18*y**2 - 6*y**2).\nAnswer: 136*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 2*b. Let r(x) = 10315 - 3*x - 10315 + 2*x**3 + 0*x. Determine 8*d(c) - 5*r(c).\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Suppose -6 = 4*l + 2, 0 = -f*y - l + 170. Is (-1)\/2 + y\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)\/(y\/y**(1\/8))*(y**2*y)\/((y*y**(-2\/3)*y)\/y))\/((y**(1\/3))**25)**(-10\/11) assuming y is positive.\nAnswer: y**(18367\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 112308017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 264688494*l**3 + 30993*l**2 - 4047?\nAnswer: 1588130964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3800 is divided by 929.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -o - 2*n + 14, 1 = -2*o + 5*n. Let m(d) = d**3 - d**2 + 12. Let g be m(0). Suppose -g = -4*r + 5*z, 3*r + z - o = -r. Solve 2 - 14 = -r*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49579780 divided by 5.\nAnswer: -9915956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0396 - -0.0395789. What is m rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*z + 10. List the prime factors of (-24 + z)\/(2\/(-17)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3*z - 4*z)*(6*z + 7*z - 3*z**2 - 7*z)*(z**2 - z**2 - z**2).\nAnswer: 6*z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 + 2*s. Let i(r) be the second derivative of 3*r**5\/10 + 17*r**3\/6 + 17*r**2\/2 + 126*r. Let d be i(-1). Calculate v(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*i - 69*h + 38*i - 2 wrt i.\nAnswer: 3*h + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340 a factor of 10517874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + w - 1)*((2 + 0 - 3)*(5*w - 2*w + 5*w) - 3*w - w + 2*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + -2*sqrt(60))\/((sqrt(60)*1 + sqrt(60))\/sqrt(12)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1220745 and 7072770?\nAnswer: 686058690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 307 in -1\/9, 10, -2\/23?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20937?\nAnswer: 3, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 11 + 12)*(-149*t**3 - 91*t**3 - 25*t**3) to g + v*t + u*t**2 + k*t**3 and give k.\nAnswer: -3180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -379569 + 2?\nAnswer: -379567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 + b - 7. Let t be a(6). Suppose 0 = -4*k + 6*k - 10, -4*q - 4*k = 4. Let z = t - q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*q = 146*q - 15*q + 47436 + 13174 for q.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2. Let q = 1 - l. Let m(y) = 62*y. Let j be m(0). Solve -5*a + q*b = j, -a - 2*a + 3*b = -9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 17 = 7*p - 27 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a - 86*a - 746 = 1321 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f - 4*c = 47*f - 248, 0 = 2*f - 3*c - 113. Sort 5, 3\/2, 0.1, f, -1\/7 in increasing order.\nAnswer: -1\/7, 0.1, 3\/2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/2))**(10\/3))**(-44)*(n**(-6)*n)\/n**(4\/3)*n**(3\/2)\/(n\/n**(-2\/7)) assuming n is positive.\nAnswer: n**(-3337\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 202757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2448 + -2449. Sort -9, g, 4, -4, 83 in descending order.\nAnswer: 83, 4, g, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82357203 to the power of 1\/2, to the nearest integer?\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192))**2 - (sqrt(3) + sqrt(75) + 2))*-4.\nAnswer: -3064 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 12 - 3) + (3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -101*w + 6. Let f(m) = 100*m - 7. Determine 4*f(i) + 5*x(i).\nAnswer: -105*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -361, -398, -437, -478, -521, -566, -613?\n\"Answer: -m**2 - 34*m - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6103266, 12206528, 18309790, 24413052, 30516314, 36619576?\nAnswer: 42722838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 61\/2, -0.4, 7, 1, 0.3 in descending order.\nAnswer: 61\/2, 7, 1, 0.3, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73021021 a multiple of 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36331 is divided by 10425?\nAnswer: 5056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-224)\/42*(-30)\/4. Suppose -2*s - r + 0*r = -29, 5*r - k = -3*s. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 39265968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 + 30\/(6 - 1) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + 121 + 20*f**3 - 40 - 40 to the form l*f**2 + m*f**3 + n + c*f and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-24) + 2\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -67, -92, -117, -142, -167?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 840*h + 1070*h**2 + 240*h - 303*h**2 + 2182*h**2 + 2490*h**3 + 311*h**2 + 45*h**4 = 0. Calculate h.\nAnswer: -54, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1041 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -83\/3, 0, -2.\nAnswer: -83\/3, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*j = -61, 0*j = 4*n - 2*j - 244. Suppose 0 = -s - 2*s - 4*f + 56, -8 = s - 4*f. Suppose 6 - n = -5*k + 5*w, -2*w = -k + s. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -112, 4\/7, -2\/37, 5, -2 in ascending order.\nAnswer: -112, -2, -2\/37, 4\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/60 + q**4\/4 + 4*q**3\/3 - 2630*q**2. What is w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4 + 21. Sort u, 2, 1 in increasing order.\nAnswer: 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.42 + 1.72. What is the closest to a in -1\/2, -2\/9, 0.2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 171*r + 3084. What is o(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.275 years in millennia?\nAnswer: 0.412275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 436 = -264. Let r be 446\/18 - 10\/(-45). Calculate the greatest common factor of r and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 5. Suppose 22*g - 20*g - 20 = 0. What is the remainder when c(g) is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7426 centimeters in meters?\nAnswer: 0.097426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-64)\/(-20) - 4)*-35. What is the greatest common divisor of s and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 81. Which is the third smallest value? (a) s (b) -3 (c) -3\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*d - 3*a + 11, -4*d - 7 = -3*a. Let k be (51\/d)\/3*(9 - 7). What is the tens digit of 7 + k\/(-2) + (-258)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3117\/3123 - -1) + (-48)\/24. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = 1. Let s(g) = 7*g - 2. Let v be s(b). Solve 3*h + 6 = -v*z - 4, -2*h - 11 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102.93 + 102. Let q = i - 0.41. Let b = 1.3 + q. What is the second smallest value in -2, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**(-36))**(1\/12)*((k\/(k*k*k*k\/k**(-2\/13)*k*k))\/(k*k*k**(4\/3)\/k))**12 assuming k is positive.\nAnswer: k**(-1090\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27743720, 27743727, 27743720, 27743693, 27743640, 27743555?\nAnswer: 27743432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 12*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 3)*(-4*v**2 + 2*v**2 + 4*v**2) + (406*v**2 - 140038 + 140038)*(4 - 4 - 1) - v**2 + 0*v**2 - v**2)*(-3*v + 3*v - 3*v**3).\nAnswer: 1212*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5*w + 30, 73*w + 42 = -5*n + 69*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r + 5. Let z(x) = 3*x + 1. Let i(w) = -d(w) + 5*z(w). Let n(q) = 36*q. What is -204*i(c) + 6*n(c)?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43477 (base 9) to base 4\nAnswer: -13002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68, -89, -110, -131?\n\"Answer: -21*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16140 + -242099\/15. Let s(i) be the third derivative of 7\/300*i**5 - 1\/24*i**4 + 0 + 0*i - o*i**3 - 2*i**2. Determine w so that s(w) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgxgwwwwxwgxw. Give prob of sequence xwxw.\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 471 (b) -1\/3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4013.\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -114*l - 27. Let c(i) = -31*i - 7. Let q(y) = -11*c(y) + 3*p(y). What is q(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 5*y + 1. Let b be l(-6). Suppose u = 3*c + 22, u - 22 = 4*c - 4*u. Let o = c - b. Sort 1, o, 4 in descending order.\nAnswer: 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433779894 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62054 - 102?\nAnswer: 61652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-5)\/(800\/58) and 83\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 14\/58477?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0582419 less than -0.115849?\nAnswer: -0.0576071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*(sqrt(91) + sqrt(91)*-3 - sqrt(91)) - sqrt(91)))\/(sqrt(14)\/(sqrt(2) + (sqrt(18)\/sqrt(144) - sqrt(2)))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000338195 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -2528485?\nAnswer: -2528484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssjjjsssjs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21665, -21668, -21671, -21674, -21677, -21680?\nAnswer: -21683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2545 - -30235?\nAnswer: 32781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738606 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -110673707.493 and -0.05?\nAnswer: 110673707.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/25701 and -23\/12468939?\nAnswer: 162096207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 12*z + 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -60\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = -3*a + 80 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d - 154*d**2 + 327*d**2 - 151*d**2 + 2 wrt d.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:18 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 2 + sqrt(343))*-3.\nAnswer: -42*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 32 + ((-5)\/5)\/(-4*6\/(-72)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11759 - -0.1?\nAnswer: 11759.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7732 + 5?\nAnswer: -7726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2278 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*k - 2*k. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9120 - -7744. Is l\/12 + (2 - 7\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/5 - 305941176*a\/5 - 5850000198266436\/5.\nAnswer: -4*(a + 38242647)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 24. Let u be (-3)\/(1 + (-15)\/z). Let x = u + 0. Calculate the remainder when 3 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97307629051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**5 - 3*v**4 + 54*v**3 + 54*v**2 - 243*v - 243 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -275*d + 1267. Give p(5).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 260\nAnswer: 49\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*b - 2*b = 88, 5*b = 4*v + 44. Let u = v + 8. Let z(j) = -4*j - 2. List the prime factors of z(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 1650912*s + 4952709.\nAnswer: 3*(s - 550301)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 15*m + 8*m)*(3 - m - 3)*(-5*m**2 - 19*m**2 + m**2).\nAnswer: 46*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -967093, -1934184, -2901275, -3868366?\n\"Answer: -967091*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116516 is divided by 7700.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(29\/145)*(12 - 25)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 0*d**5 + d**5 + (4*d**2 - 4*d**2 + 2*d**4)*(4 - 4 + 2*d) + (31*d**3 - 31*d**3 - 9*d**5)*(5 - 2 - 4).\nAnswer: 14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 13 - (-85 - -75) - 2) + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969*c**2 + 7950*c**2 - 983*c**2 + 2*c**3 - 5998*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*s + 4*r, -2*s + 5*s = 4*r - 10. Let g be (0 - -37) + s\/3. Let b be (-2 - -1)\/(122\/(-854)). Calculate the greatest common divisor of g and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4157656 (base 8) in base 4?\nAnswer: 10031332232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d = -34*d - 2. What is the second derivative of 5 - 2093*g**2 + d*g + 2093*g**2 - 114*g**5 wrt g?\nAnswer: -2280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -0*f + 5*a + 6*a - 64 + 10, 5*f = 6*a + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.3 + -4. Let w = q - -0.7. Let p = 0.6 + -3.6. Sort 0.3, p, w in decreasing order.\nAnswer: w, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -44*k**2. Let z(w) = -32*w**2. Determine z(u(r)).\nAnswer: -61952*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + (8 + 7 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 10 = 0, 4*g = -r - 31 + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*t + 49*t = 35*t - 6240 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 847 = 4730. What is the highest common factor of 39 and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397977?\nAnswer: 7, 41, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 6:11 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-13 - -27) + -89 + -3 + (2 - -8)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**4 - 6211*l**3 + 18*l**2 - 2*l + 4?\nAnswer: -72*l - 37266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.787 in 0.3, 0.04, 1497?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 + -0.02440391512563.\nAnswer: -0.16440391512563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.808012 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 4. Let q be n(-2). Let i(v) = v - 21. Let r be i(q). Let g = 11 + r. Solve g = 3*m - 6 - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w - 11 = 5*g - 73*w, -23 = -3*g - 5*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + 3. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i + 355. What is the least common multiple of y(-14) and 222?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 8*z - 6. Give j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11132226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7594, 7445, 7148, 6685, 6038, 5189, 4120, 2813?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.34 and 2033720.\nAnswer: 2033719.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3. Let k be 6\/(-14)*(-6)\/9. Let u be 16\/(-24) - 16\/(-15). Which is the nearest to k? (a) u (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2149*r - 2*r**2 - 7844*r - 2122*r to q*r + n + k*r**2 and give q.\nAnswer: -7817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 21222.7.\nAnswer: -84890.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - l = 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 10, 1\/5, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 + 8*h**3\/3 + 4*h**2 + 6*h - 10. Calculate f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112112212122 (base 3) in base 16?\nAnswer: -45ec6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**4 + 1382*n**3 - 12*n**2 + 50*n - 22454250 wrt n.\nAnswer: 8*n**3 + 4146*n**2 - 24*n + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*y + 59, 0 = 3*i - i + 3*y + 35. Let b = 50 + i. Suppose -47 - b = -3*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 + 39*d - 28. Let i be s(-15). Let n = i - 287. Factor 1\/3*j**2 + n - 1\/3*j**3 + 0*j.\nAnswer: -j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0563749683 - -14.\nAnswer: 13.9436250317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79137, 79143, 79151, 79161, 79173, 79187?\n\"Answer: h**2 + 3*h + 79133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10352*o**3 + 56*o**2 + 28*o + 14. Let r(j) = -3451*j**3 - 20*j**2 - 10*j - 5. Give 5*n(a) + 14*r(a).\nAnswer: 3446*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46234.3 + -46234. Let x = 4 + -3. Let a = 1.2 - x. What is the closest to t in a, -3, -4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 - 38.47. Let k = 42 + x. What is the closest to -0.05 in k, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78139 is divided by 12970.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 96. Let z be t(19). Let b = -14 - -16. Suppose -b*m - 10 = 4*h, -3*h - h + m - 7 = 0. Sort h, z, 4.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -182, -270, -358, -446?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 83 + -8?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**2\/2 + 36. Let y(t) = 149*t - 70*t - 75*t. What is y(q(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31701.5 micrometers?\nAnswer: 0.0317015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192413021.\nAnswer: 17, 665789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 2)*-1 + sqrt(272)*3*4)**2.\nAnswer: -176*sqrt(17) + 32916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -441\/47, 0.5, -53, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273472205 take away 1.01?\nAnswer: 2273472203.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(l**2 - 6*l**2 + 2*l**2).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 4*s**2 - 2*s**2 + 3 - 3 - 2*s**2 + (-s + 2*s - 2*s)*(2*s + 0 + 0) - 3*s**2 + 6*s**2 - s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/24 - 5*u**3\/3 - 845*u**2. Calculate g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 17, 2\/5, 0.03?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 141337109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(304) + (-3*sqrt(304))**2)*4 - sqrt(304)) + -4.\nAnswer: 12*sqrt(19) + 10941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a**(2\/7))\/(a*a*a**18\/a*a*a\/(a\/(a**(-7)*a))*a))**(4\/3) assuming a is positive.\nAnswer: a**(-440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*k + 132 = 4*k, -h + 65 = 3*k. Let n(v) = 0*v - 5*v - 8 + 1 + 2*v**2 + v. Calculate the remainder when h is divided by n(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 1. Let i be a(-6). Suppose -2*o + 2*m = 8, -o + 0 - 20 = -i*m. Solve o = z - 4*n, 5*z + 3*n = -0*n + 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229344 and 1056?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2712 - 1925. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = 0, 4*r + 22 - 6 = -2*h. Let i be 84\/224 + 4630\/48. Let p = 97 - i. Which is the nearest to 1? (a) p (b) h (c) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 552861\/737 or 750?\nAnswer: 750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-10)*(-140)\/(-56). Solve -5*q - 6 = -2*k, -4*q + 3*k + s = -2*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 67*b + 1342. What is the hundreds digit of y(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12*d = -117. Let k be -1 + 25 + (-2 - -1). Let h = k + d. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/(h*h**(-6\/11))*h)*h*h**(-1)*h\/h**1*h**(-4\/3) assuming h is positive.\nAnswer: h**(-29\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1366, -2752, -4144, -5542, -6946?\n\"Answer: -3*l**2 - 1377*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30103 is divided by 1157.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 127. Let y = o - -58. Let k(s) = -80*s**3 - 3*s**2 - 3*s - 1. Is k(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1.9, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*l**3 - 12624*l**2 + 6306*l - 788.\nAnswer: 2*(l - 394)*(4*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**3 + 23*z**2 + 592*z + 332694?\nAnswer: -3*z**2 + 46*z + 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 948, 3863, 8722, 15525, 24272?\n\"Answer: 972*h**2 - h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2415 + -2387. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**47*(d**6)**(-1\/5) assuming d is positive.\nAnswer: d**(-946\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*a + 130, 13*m + 71 = 2*a + 10*m. Let u(i) = -i**2 + 6*i + 7. Let p be u(6). What is the highest common divisor of a and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -26. Suppose 0 = 4*d - z + 8. Solve -4*s + 1 = -b + 10, d*s = 3*b - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 7*s**2 + 5*s + 1. Let o = 8 + -4. Suppose 0 = a - 3*a + 26. What is the remainder when m(o) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -369 - -585. Let f = -21153082.800111 + 21152866.8. Let y = t + f. Round y to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1331.753ug?\nAnswer: 0.001331753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/4)\/((-5)\/540*-105)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(-56*j + 394 - 394)*(2 - 3 + 3).\nAnswer: -336*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**2 - 3*x + 2. Give j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/8 + 17\/2. Suppose 3*j = j + 18. Let x = j - q. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11770 and 448437.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((1 + -3)\/2)*-73. Let n = -9 - v. What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (57\/6 - 3)*(10 + 236\/(-26)). Let y(d) = -16*d + 69. What is y(r)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 26 = 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.3891373 rounded to three dps?\nAnswer: -48.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98543 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/3)*(v\/(v**(-4\/7)\/v))\/v*(v**(10\/7)\/v)\/v**(1\/7) assuming v is positive.\nAnswer: v**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*o + 84, o + 42 = 3*n - 2*n. Calculate the remainder when 123 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502478, 502479, 502480?\nAnswer: 502481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -439\/1335 + -2\/445. Let h = -29 - -26. What is the nearest to i in h, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*s - 1330 - 550. List the prime factors of (-1 - s)*-13*(-36)\/(-27).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, 17, 185, 423, 731?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/36 and 23\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, 14, 3 in decreasing order.\nAnswer: 14, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 14. Let d be m(-8). Let v = 18 + d. Let b(r) = -r**3 - 8*r**2 + r + 6. Give b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168999 by -493.\nAnswer: -168999\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 506765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7503, -7722, -7941, -8160, -8379?\nAnswer: -8598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1354 less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w**2 + 4*w + 6. Let y be d(-3). Let c = y + 46. Suppose -3*i = -2*t - 1179, c*t - 407 = i - 2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 26*s + 96. What is the smallest common multiple of 6 and l(23)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*q + 342690, -5*q + b + 283748 = -1825. List the prime factors of q.\nAnswer: 2, 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssk when four letters picked without replacement from {k: 13, s: 6}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 1\/((2*1\/(-20))\/(-2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:04 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350444537 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742836843.\nAnswer: 11, 158439713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442008 is divided by 10279?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/1)\/((-4)\/6). Let o be u\/((-6)\/8*2). Let f be ((-15)\/5)\/(3\/o). What is the biggest value in f, 1, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2129381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/15)\/((-1)\/(-20)). Suppose 2*s - 2*a + 0 + o = 0, -16 = s - 4*a. Solve -3*c = -2*r - 11, -2*c + c + r + 5 = s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-118440)\/(-128) + 2\/((-48)\/9). Let y = 927 - o. Find the common denominator of 83\/36 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 0*m**3 - 2*m**3 + (-3*m**2 + m**2 + 0*m**2)*(3*m - m - 3*m) + 25*m**3 - 43*m**3 - 92*m**3.\nAnswer: -112*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 145443 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-5 - 4) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(7\/2))**41*(s*(s*s*s*s\/((s*s*s\/(s\/(s*(s\/s**(-24))\/s))*s)\/s)*s*s*s*s)\/s*s*s)**(16\/11) assuming s is positive.\nAnswer: s**(3515\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4}. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.55 - -211.05. Let z = h + -207. Which is the second biggest value? (a) 1\/6 (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 35. Let x be o\/(-4)*(-3)\/(-6). Let j(s) = s**3 + s**2 + 2. Let l be j(0). Is x at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17893 and 16004980.\nAnswer: 464144420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {u: 7, x: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 264259181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*-1 + sqrt(847) - 3*sqrt(28)) + (1*(-1*sqrt(7) + 3))**2)*-5.\nAnswer: -80 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96367742.\nAnswer: 2, 421, 114451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 6. Let u = 48 - -162. Let r be (-1974)\/u - (-16)\/(-10). Determine j(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 7*a**2 - 6*a. Let t be (12\/14)\/(7\/(-49)). Let f be k(t). Let y = -257\/3 - -85. Is f smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*l - 222 + 967 = 0, 3*l = 12. What is the remainder when 749 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 405739688 or 405739686?\nAnswer: 405739686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 17 = -j, -3*j + 3638*g = 3643*g - 5. Let s(o) = -o**3 - 8*o**2 - 2*o - 14. Let b be s(-8). Solve 0 = -l - 5*r + 20, -b*r + j = l + 2*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*a - 15. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -4275531873.\nAnswer: -4275531871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 9*t = 8848. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*h + 30 + 28 = 0, 15 = 5*h. Is 10 a factor of (-1688)\/q*-4 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673268, 673182, 673096, 673010, 672924, 672838?\nAnswer: 672752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*w - 154, 3*w + 147 = 234*v - 231*v. Solve -50 = -v*d + 208 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 + 208)\/(2 + 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = -4*d - 1, 14 = x + 2*d. Suppose 0 = -4*m + 18 - x. Let i = 22 + -18. Solve i*u = -m - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - -1234?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + u. Let d(y) = -20*y**2 + 5*y. Give d(j) - 5*t(j).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000689638 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1934511 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b - -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -182701.\nAnswer: -5\/182701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 - -294. What is the remainder when p is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - 69. Let p = i + 468. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 678.1 - 678.5. Which is the nearest to -17\/8? (a) -1 (b) o (c) 2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2 - -3) + 4. Suppose 2*z = d*z. Let t be 0 - z - (-8 + 3). Solve -3*l - t*s = -1, -3*l - s = s + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1016 and 11303.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(30) - (sqrt(30) - -3*sqrt(270))))\/(-3*(sqrt(6) + sqrt(54))*6).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v + 2*v + (-1 + v + 1)*(-12 + 0 + 1) + 0 - v + 0 + (0*v + v + 2*v)*(-4 + 2 + 1).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*h - h. Suppose 4*u = -r + 33, 8 - 41 = -3*u + h*r. Suppose 4 = 7*k - u*k. Put k, -0.1, -6 in ascending order.\nAnswer: -6, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 - 7*s**3 + 811130*s**2 + 1 - 1 - 811121*s**2.\nAnswer: s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30343541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 3. Let s = 39 + v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Let r be (-2 + 9\/3)*l. Suppose 4*q + 4*z - 60 = 0, r*q + 2*z + 0*z = 69. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 127 - 2*c - 396.\nAnswer: -2*c - 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-14*d - 69 + 69)*(3*d + 2*d**2 - 3*d + (d - 5*d + 2*d)*(-d + 2*d + 2*d)).\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 154*s**3 + 38*s**2 + 38. Let h(q) = -q**3 - q**2 - 1. Give 228*h(u) + 6*v(u).\nAnswer: 696*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**5\/20 - 5*w**4\/12 + 5*w**3\/6 - 3*w**2\/2 - 29*w. Calculate g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 - 341. Let y be (-625)\/(-1 + 0) - (-69 - o). What is the greatest common factor of 37 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -0.11 (c) 1\/2 (d) -0.3 (e) 6\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 123 = 41. Suppose -r = -7*p + 177. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p**(-2\/53)*p)\/p))\/p)\/(p\/p**(-4)) assuming p is positive.\nAnswer: p**(-369\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19429281659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 6*c**2 - 4*c - 1. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -51) + (15 - 68 - -36) + 8.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(0 - (-2 + 3)). Find the second derivative of 0*q + q - 10*q**4 + 0*q + u*q wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16278, 16081, 15882, 15681, 15478, 15273?\nAnswer: 15066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2259 or 2260?\nAnswer: 2260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3025 - 2947. What is the remainder when b is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**3 - 3*k**2 + 3*k**2.\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 32 - (1 + -1 + 51 - (21 + -14)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let r(w) = 7*w. Determine h(r(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 1810 = -2*s + 1882, -4*s + 25 + 55 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -9799, 8, 2, -5.\nAnswer: -9799, -5, 2, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3466555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 41, 5, -4 in decreasing order.\nAnswer: 41, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/36 + -1\/9. Let l(g) = 52*g**2 + 16*g - 72. Let r be l(5). Suppose 0 = r*n - 1303*n - 15. Put n, b, -2.2 in ascending order.\nAnswer: -2.2, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**2 + 26*i**2 + 3670*i + 26*i**2 - 74*i**2 + 964*i.\nAnswer: 2*i**2 + 4634*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 292 and 46173668.\nAnswer: 46173668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 48. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23010 + 111230?\nAnswer: 22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-368)\/644)\/((-8)\/112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -29 + 124*o + 127*o + 5 - 255*o. Let x(k) = 15*k. Calculate x(j(s)).\nAnswer: -60*s - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - -454656?\nAnswer: 454712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.464493 to three dps.\nAnswer: -4.464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, -1, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {f: 1, m: 1, u: 2, e: 1, p: 4, i: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 29*d - 10. Let o be c(-14). What is the biggest value in o, 0.3, 2\/17, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let k = -1 + 6. Suppose -h = -2*h + k. Which is the nearest to -1? (a) r (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k + 20. Let h be k*((-32)\/12 + 2). Solve l + h*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 + 58 = -3*k + 4*x, 9 = -3*k - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/(12\/112)*(-9)\/3969*-6?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 557, 1691, 3565, 6167, 9485, 13507, 18221, 23615?\n\"Answer: -2*p**3 + 382*p**2 + 2*p + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63577, 127178, 190779, 254380, 317981, 381582?\nAnswer: 445183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) - ((sqrt(243) - (-1 + sqrt(243) + sqrt(243))) + 3)) + ((sqrt(243) + 1)*3 + sqrt(243) - sqrt(243)))**2 - 6*(sqrt(243)*1 - sqrt(243))*-5)*1.\nAnswer: -90*sqrt(3) + 6076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + (16 + -6 + 4 + -14 - 10)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 4, -4, -48 in descending order.\nAnswer: 5, 4, -4, -8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqbxzqbxqb. What is prob of sequence qbzq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*c - 2*c = -445, y - 3*c = 101. Suppose 3*n - 5*q - y = 0, -2*n + 19 + 51 = q. Calculate the highest common divisor of 272 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 10:44 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:39 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 31. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8262806*z - 10134823.\nAnswer: 8262806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91376 is divided by 13052.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -3 - (-1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 42 = 3*p, 11*p + 4*r - 108 = 5*p. What is the remainder when 719 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600 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 y(f) = -22. Let k(j) = -4*j + 41. Let m(o) = k(o) + 4*y(o). Let d(c) = 6*c**2. Determine d(m(v)).\nAnswer: 96*v**2 + 2256*v + 13254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 13*o**2 - 316*o - 5881. Let x(c) = -4*c**3 - 24*c**2 - 610*c - 11763. Let j(f) = 11*k(f) - 6*x(f). What is the derivative of j(b) wrt b?\nAnswer: 6*b**2 + 2*b + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, o: 10, h: 2}. What is prob of picking 1 h and 2 o?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4580 - -4570) + (0 - -105) + (2 - 5)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27704\/5 + 5538. Which is the third biggest value? (a) n (b) 4\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 + 2 - 2). What is the second derivative of c*k - 3*k - 3*k + 0*k - 14*k**3 wrt k?\nAnswer: -84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 - 18 + 5)*(125*a**4 - 75*a**4 - 123*a**4) in the form b*a + j*a**2 + d*a**4 + i + h*a**3 and give d.\nAnswer: 3431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(88)\/(sqrt(11)*1)) - (1 + sqrt(180))*1.\nAnswer: -5*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 709720951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**7\/2520 - l**6\/720 - l**5\/30 - l**4 - 20*l. Let p(h) be the third derivative of u(h). Give p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 10.5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y + 7*y - 2*y**3 + 10 + 2*y as t + g*y**2 + q*y + c*y**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 h when three letters picked without replacement from kkkkkkkkkhkkk?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/(((k**(5\/3)\/k)\/k)\/k))*k**6*((k\/(k*k*k*k**7))\/k)\/k**(-6) assuming k is positive.\nAnswer: k**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, c: 6}. What is prob of picking 3 c?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 4*x - 6. Let w be (4\/(-1))\/(0 + -1). Solve 4*s = w*u - 20, s - x*u + 3 = -12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -13*v - 58. What is the common denominator of 6 + v + 130\/(-116) and 121\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 5*y**3\/6 - y**2\/2 + y. Let b be c(-2). What is the smallest common multiple of 8 and (-12)\/54 - b\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 a when four letters picked without replacement from {x: 2, g: 6, e: 2, k: 1, a: 7}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120684562 is divided by 2772?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - j - 50 = 0, -3*w + 3*j + 12 = -30. Suppose 81 = -t - 2*v + 309, -5*t + 1126 = 3*v. Is ((-3)\/(72\/t))\/((-4)\/w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 2*s**2 - s - 2. Let m(q) = -8*q**3 - 9*q**2 - 4*q - 8. Suppose 0 = 3*u - 0*o - 3*o + 15, -3*u - 4*o = 43. Give u*n(b) + 2*m(b).\nAnswer: 2*b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2058*i + 1026*i + 1030*i. Let d(y) = -260*y. What is r(d(u))?\nAnswer: 520*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(270) + sqrt(270))\/sqrt(9) - sqrt(30) - sqrt(30)*1*-2)\/(6*(sqrt(294) - (sqrt(294) + 2*sqrt(294)))).\nAnswer: -sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4299742 divided by 34\nAnswer: 126463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 0.1 in descending order.\nAnswer: 16, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q + 74*q - 24*q**3 + 21*q**3 - 33*q**2 + 34*q**2 in the form w*q**2 + g*q**3 + j*q + k and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 36 = 0. Let h be w\/(-9) - 35\/(-21). Suppose -3*a - z + 79 = 4*z, 5*a - 137 = -h*z. Is a a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 36 + 30 - 74 - 2*s. Give c(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18254019 <= 18254019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -662477716*r - 739097137?\nAnswer: -662477716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41614501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31701103*b*s**3 - b*s**2 - 518*b*s - 2*b - 187*s**2 - 43 wrt s.\nAnswer: 190206618*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = r - 52, -2*g + 2*r = -3*r - 26. Suppose -4 = -b + 21. What is the remainder when b is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/117 - (14296\/663)\/2. Let g = l - 12\/17. Calculate the common denominator of -95\/2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2 - 1 + 5 - 2*v**3 + 4*v - 5*v**2. Let l be c(-4). Suppose -4*x + l = -2. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 645, 2372, 5183, 9102, 14153?\n\"Answer: 4*d**3 + 518*d**2 + 145*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 88066\/19913?\nAnswer: 88066\/19913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**3 - 8184*y**2 + 120290*y.\nAnswer: 18*y - 16368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*1 + sqrt(1152)*2)\/(sqrt(1089)*-1*-2)*4.\nAnswer: 34*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2173485477 to 3 decimal places.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + 127. Let y = -212 + r. Is y smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 7 = 5*v - q, 2 = -5*v + 4*q. Suppose -v*g = 4 - 8. Is (1\/g)\/(10\/1780) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.1. Let x = -4.3 + 4. Which is the third smallest value? (a) u (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (355\/(-60) - -6)*4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/2178)\/(105*14\/630).\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-1 - -4) - 8. Let r(i) = -i**3 - 6*i**2 + 1. Let m be r(v). Which is smaller: m or -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + s - 21 + 6 = 0, 19*x + 255 = -29*x - 3*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d3a (base 14) in base 9?\nAnswer: -12076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -4*(sqrt(12) - (sqrt(12)*3 + sqrt(12))) - ((sqrt(96) - -2*sqrt(96) - sqrt(96))\/sqrt(8) - sqrt(12)))\/(sqrt(12)\/(sqrt(12)\/sqrt(6))*-6*-6).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21301030 (base 4) in base 6?\nAnswer: -505124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*o - 69*o + 2*v - 9 = 0, 2*o + 16*v + 42 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288449, 0, -14, -3 in descending order.\nAnswer: 288449, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-180))\/((-2)\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*861.2152\nAnswer: 4306.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11309 and 449.\nAnswer: 5077741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/49145 and 51\/20.\nAnswer: 196580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rppreeprrpk. Give prob of picking 1 p and 2 r.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 + -284.599717?\nAnswer: -284.789717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 3 - (86 - (16 + -56))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -154*a - 3631. What is p(-28)?\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Let u(s) = s - 1. Let l(r) = -11*r + 2. Let a(x) = l(x) + 3*u(x). Let c be a(-2). Let b(d) = -15 + c + 5*d**2. What is p(b(f))?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 9*x**2 + 16*x - 109. Let v be n(9). Let b(u) = u**3 + 5. Let w be b(0). Let j(m) = 8*m - 4. Let h be j(w). Is v at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g - 3*d + 5 = 0, -3*g - 2*d + 8 = 0. Solve -g*m + 6*m = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165265?\nAnswer: 3, 5, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjaaajjajclcljlj. Give prob of sequence llca.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22737 + -23486. Is -747 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58202 by -11.\nAnswer: 58202\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153080 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 895*k**3 + 4*k - 38 wrt k?\nAnswer: 5370*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 165275 = 2*h + 7013, 215366 = -5*w - 4*h. Let f = 63751 + w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 16083 = -3315. List the prime factors of g.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2081, -2081, -2089, -2111, -2153, -2221?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3744479733?\nAnswer: 3, 53, 23550187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*u**2 + 73*u**2 + 24*u**2 - 26*u**2.\nAnswer: 113*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-15)*30\/12. What is the nearest to -7\/5 in 1\/8, w, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.86 - 24.96. Let w = -24.1 - b. Let m = 2.7 - 3. What is the second smallest value in m, 3, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-24)\/34)\/(-4))\/((-3)\/(-2)). Which is the nearest to -2\/5? (a) 5 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:54 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 622717841 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -46, -96, -238, -502, -918, -1516, -2326?\n\"Answer: -5*d**3 - d**2 + 50*d - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:34 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/(-10))\/(-28))\/((-2)\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5*q + 45 = -0*q - 5*t, -2*q - 228 = -3*t - 259 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 649*b - 656*b + 2606*b - 660*b - 659*b.\nAnswer: -18*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-5)\/((-60)\/2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*x**3*z**3 - 5573*x**3*z**2 + 11*x**3 - 2656970*x**2*z**3 - 2*x**2*z**2 + 3*x*z**2 + 2*x*z wrt z?\nAnswer: 24*x**3 - 15941820*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732272450 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**4 + 3*j + j - 4*j + 6*j wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -50. Let d be ((-1 - 15)\/4)\/(4\/y). Solve d*s = 14*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**11\/66528 + g**10\/15120 - g**9\/12096 - 79*g**5\/60 + 103*g**2. Let t(p) be the third derivative of j(p). Factor t(w).\nAnswer: -5*w**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/7 (b) 102 (c) 5 (d) 48 (e) 0 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*s - 64 = 34*h - 116*s, 0 = h + 4*s + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.11 + 49.89. Let l = 50.99942 - x. Round l to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6160000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -117743 greater than 3455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25930 + 25932. What is the second biggest value in l, 3\/64, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 11?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 188812*a - 48 = -188809*a, -2*a - 6 = -6*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1219.1 - -1217.1. What is the third biggest value in 2\/21, -5\/6, i, -3\/7?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and 367768.112?\nAnswer: 367756.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/28*(814\/(-333) - (-7 + 95\/15))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282602 is divided by 3810?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(2*sqrt(24)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/2 - (-2)\/(-4). Let d be 2*((-1)\/(-2) + 1). Put d, 0.3, o in ascending order.\nAnswer: o, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 457677 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7233872 is divided by 2411274.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g*g*g*g*(g\/(g\/(g*g**9\/g)))\/g*g))*g*g*g)\/g)\/(g*g*g*g\/(g\/(g*g*g\/(g*g*g**(9\/5)))))*(g**3)**(2\/95) assuming g is positive.\nAnswer: g**(1317\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 192, 275, 338, 375?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1, -8, 625, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 y when four letters picked without replacement from {j: 4, y: 2, x: 4, d: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*2 + 5)**2*6 - (sqrt(19) + 1*sqrt(19)*-2 + 5)*-5.\nAnswer: 1435*sqrt(19) + 65839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 8. Determine q(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 350\/733?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 3*q - 7. Let c = -4 + 9. What is the remainder when l(c) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 1785*k**2 - 1785*k**2 + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -16, -5*p = -4*f - 905 - 1234. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 6*i**2 + 2*i + 3. Let p be h(6). Solve 4*t - t = p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3036 = 45*y. Let m be ((-2)\/9)\/(44\/y). What is the smallest value in 0.4, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-6) + 54\/2. Suppose 0 = -5*h + 2*h + m. Is 9 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2 + 504*i + 442*i + 51 - 904*i wrt i?\nAnswer: 2*i + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.078, -200161?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55084249*q + 211067073 with respect to q.\nAnswer: -55084249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 651\/14*13\/((-351)\/(-900))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5257338 is divided by 2405.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -17. Solve 3*d = -5*w - 5, -c*d + 5*w = -37 - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13\/5)\/((n\/(n*n**(6\/11)\/n))\/n*n))\/((n**(-5\/3)*n*n)\/(n*n*n**(-2)*n)) assuming n is positive.\nAnswer: n**(-394\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 3 - (35 + 0 + -47)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -23*h**2 - 11*h - 3. Let u(w) = -24*w**2 - 13*w - 4. What is -5*l(i) + 4*u(i)?\nAnswer: 19*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(88))\/(sqrt(6)\/sqrt(3)*1).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, -12, 5, 239.\nAnswer: -12, -2.9, 5, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = 2*u - 2, -5*u + c + 23 = 0. Suppose 472 = u*f - v, -297 - 183 = -4*f - v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)\/(((d**2\/d)\/d)\/d))\/(d**(2\/13)\/d*d\/((d\/d**(-12))\/d)) assuming d is positive.\nAnswer: d**(796\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41644 + -42024.57. Let q = w - -392. What is q rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107 = 12*n - 357. Let z(i) = 68 + 65 + 14*i**2 - n - 4*i**2 + i**3. What is z(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 8 + 12 + 2 + 14 + 8*s. Suppose -3*q + q - 10 = 0. Let n be k(q). Sort -2, 5, -1, n in decreasing order.\nAnswer: 5, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35782 is divided by 168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -347?\nAnswer: -347.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {p: 3, m: 4, t: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12045 is divided by 708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 164077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5537\/(-420)*(-6)\/(-21)*-1 and -64\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**2 + 42 - 13 - 4 - 2*r - 16 - 3.\nAnswer: -22*r**2 - 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988109?\nAnswer: 988109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -10 (b) 44.5 (c) 5 (d) -2 (e) -1 (f) -0.4 (g) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18115 - -18114.9. Let n(u) = -u**2 + 3*u + 4. Let m be n(4). Which is the nearest to w? (a) -4 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.635425ml in litres?\nAnswer: 0.008635425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -1094310?\nAnswer: 1094313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 60 = -j, 5*o + 2*j = 152 - 77 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*n - 341*n + 3 + 128*n**2 - 3 as u*n**2 + a + l*n and give u.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2930*d - 135524 = 475*d - 870*d - 661*d for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000953339 rounded to 5 decimal places?\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -28726299444.\nAnswer: -28726299444.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 4}. What is prob of picking 1 c and 2 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2089.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*4*-1*((-1 + sqrt(162))*3 + 5)*3.\nAnswer: -3888*sqrt(2) - 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22974.0600095 - -22974.3. Let v = k - 0.24. What is v rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 3989992745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12240044 - -304?\nAnswer: 12240403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/(-450)*30\/(-24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y**2 - 99*y + 27*y**2 - 7*y**2 + 2*y - 7*y**2 = 0. What is y?\nAnswer: 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-11988)\/48)\/((-1)\/24). Let j be 4 + -1 + o\/2. What is j rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(144) + 4*(sqrt(144) + sqrt(144) + 2*sqrt(144)) - sqrt(144)) + sqrt(144))\/(2*(sqrt(800)*2 - sqrt(800)))*-1.\nAnswer: 153*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40058416231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194529\/5 + -38906. What is the fourth smallest value in -13, -3, 13, -8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689093 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5417243 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.973 - -0.027. Let j = -29 + g. Which is the nearest to 0? (a) j (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6 + 37 - 5*g**2 - 4*g**2 - 31. Let o(n) = -29*n**2. Give o(w(t)).\nAnswer: -2349*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50 (b) -22 (c) -0.4 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10788.9 to the nearest one hundred.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 3 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 55212300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 12. Let w = -3 + c. Suppose y + 3*y + 4*a + w = 0, 3 = 5*y + 3*a. Calculate the greatest common divisor of 12 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0727 + 32?\nAnswer: 31.9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1221 (base 4) to base 11\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*(0 + sqrt(5)))**2 + (1*(sqrt(5) + 0) + sqrt(5))**2 + -2 + 0)*-4*1.\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14561, 2, 0 in ascending order.\nAnswer: -2, 0, 2, 14561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-2888)*171)\/((-2)\/24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000136074 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -105*j - 7. Let a be k(-7). Suppose -3*b - 879 = -3*i, -3*i - 2*b + a = -151. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 60*z**2 + 1732*z - 229. Calculate n(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37264660 a multiple of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 5)*(78493*n**3 + 2220 - 1107 - 18*n**2 + 17*n**2 - 1113) to y*n + m*n**2 + u + s*n**3 and give s.\nAnswer: -156986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2397704689+0.5\nAnswer: -2397704688.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4476 (b) 0.4 (c) 0.08 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - -25. List the prime factors of l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**7\/7560 + k**6\/270 + 21*k**3 + 143*k**2. Let f(v) be the first derivative of n(v). Suppose f(t) = 0. What is t?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (12 - 14) + (15 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/54*6\/8)\/((-168)\/(-108)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 1 - 20\/(-2). Let b be (8\/(-6))\/((-4)\/f). Find the third derivative of -2*j**4 - 4*j**3 - j**2 + b*j**3 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/21270870 and -88\/45?\nAnswer: 21270870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5760 and 2846860?\nAnswer: 819895680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*n - 1 = 0, n + 2*n + 1 = 2*a. Let -4*g**a - 10*g**2 + 8*g**3 + 8*g + 2*g**2 - 2*g**4 - 2 = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 161038390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-4) + 2\/(-8). Suppose 2*r + 2*u + 12 = 0, 5*u + 2 + 4 = y*r. Let z be (-10)\/(-5) - 3*r. What is the greatest common divisor of 121 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 606103 and 606160 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -58*q + 55. Give m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 5:35 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6039 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - -1) + -54 + 54\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1807*r + 1811*r - 3*h + 31, 3*r + h = -7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5867)\/((-3)\/(-3 - 0)). Let o = 164293\/28 + h. Let d = -9\/14 - o. What is the closest to 0.1 in d, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y + 49*y - 4098*y**2 + 4096*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76943\/13520 + -3\/845. Let v = -251 - -213. Find the common denominator of k and 415\/4*v\/1045.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + d + 1617 = 0, 0*d - 3*d = 3. Does 89 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2541) + 1*-1*sqrt(2541) + sqrt(2541))\/(-3*sqrt(108)).\nAnswer: -11*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (8 + 8 - 8) - 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9572408 centimeters to nanometers.\nAnswer: 9572408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61498 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 4, f: 3}. Give prob of picking 1 p and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 25236510.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.839 * 0.3\nAnswer: 0.5517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2053 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -6*j**4 + 40*j**3 + 66*j**2 - 12*j - 32 = 0.\nAnswer: -1, 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4535 - 3270 + 0*k - 6*k - 1265.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(55) - sqrt(55)))\/((1*sqrt(539) - sqrt(539)) + sqrt(539)).\nAnswer: -18*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 450 = 5*l. Suppose 5*o = -2*g + 2*o + 194, -5*o = 2*g - 190. Calculate the greatest common divisor of l and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**6\/6 - 3*p**5 - 17*p**4\/4 + 5*p**3 + 8*p**2 - 109. Suppose a(j) = 0. Calculate j.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64103059 or -64103065?\nAnswer: -64103059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 106 = 5*w + 45. Solve w = 6*s + 33 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -488 + 486. Let l = -775 - -2480. Let b be (-14)\/10 + 1 + 992\/l. Sort 5, 1\/2, b, c in descending order.\nAnswer: 5, 1\/2, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -34*x**2 - 31*x. Let i(a) = 8*a**2 + a. Let z(b) = 15*b**2 + 2*b. Let p(g) = 2*i(g) - z(g). Determine w(p(f)).\nAnswer: -34*f**4 - 31*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 25*n - 17. Let b be z(4). Let k = b + 58. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/30 (b) 1\/6 (c) 15 (d) 1.8 (e) 6\/7 (f) 1 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let h = -5.94 + 6. Let q = -0.16 + h. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61492 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178491.\nAnswer: 3, 59497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-4400173 + 2*(-2)\/4). Suppose 3*o - 5049802 - s = -5*h, -3150015 = -o + 3*h. Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2141011 rounded to three dps?\nAnswer: -21.214","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbiv when four letters picked without replacement from tvtvbittvtvtvtvtvv?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1100\/880)\/(1\/4*1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y, -3*p + 0*p - 3*y - 2004 = 0. Let c be p\/(-70) + (-6)\/(-14). What is the highest common divisor of c and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i**2 - 20*i + 3. Let f = -64 + 46. Let n = -1 - f. Let y(o) = -4*o**2 - 7*o + 1. Calculate n*y(l) - 6*s(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 303*q**2 + 690*q + 1360. Calculate n(-2).\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(2\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 + 11*r**4 - 1 - 22*r**2 + 20*r**2 + 5*r**3 to i*r**4 + n*r + m*r**3 + q*r**2 + f and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447571729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1194 + 3152. Calculate the remainder when s is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 + 12200*p + 97728 = 0.\nAnswer: -8, 6108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3 + 9*k**2\/2 - 6*k + 2. Determine f, given that n(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 34150?\nAnswer: -34143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1082?\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 667 - 7*z + 0*z + 4*z - 2086)*(3*z - 4*z + 0*z) as n*z**2 + b*z + w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -99a2e (base 15) to base 7\nAnswer: -4102412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 2 k when four letters picked without replacement from aakbkapa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -53. Suppose i = 3, -x*u - u + 83 = -3*i. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62870131 is divided by 1939?\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/90 and -173\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 7*y**2 - 6*y + 4. Let v be u(-8). Let q(x) = -x**2 - 15*x - 21. Let n be q(v). Solve 1 + n = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8243377529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d - 18*d**2 + 3*d - 559 + 559.\nAnswer: -2*d*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(9\/4)*u)*u\/(u\/(u\/(u\/u**2))*u) assuming u is positive.\nAnswer: u**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 1580850*r - 124954336125.\nAnswer: -5*(r + 158085)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11 = 3*c, 5*f + 5*c = 2*c - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 1, u: 4, n: 2, s: 2, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2*q. Let n be k(-4). Suppose -n = -2*f + 10. Solve 3*j + 6 + f = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13797293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28915.\nAnswer: 5, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 363040720 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:06 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 25, 1\/8, -1\/4, 2, -2\/11 in ascending order.\nAnswer: -1, -1\/4, -2\/11, 0, 1\/8, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1064 - 2399?\nAnswer: -3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 4 - -11) + -3. What is the tens digit of 227\/o + (-12)\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Suppose j - f = 2*r, 4*r - 10 = -3*j + 2*j. Let c = -4 + j. Solve c*m + 5 = -3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97697 - 33510041\/343. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058281 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3736 is divided by 570?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 31*d - 69. Let r be o(13). Suppose r + 50 = 3*z. What is the greatest common factor of 96 and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 - 5*l. Let s be 6*-2*(-8)\/24. Suppose 12 = 3*r - 0*r. Let d(k) = 9*k**2 + 0*k**2 - r*k - 4*k**2. Calculate s*u(n) - 5*d(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(2*-1))\/(46\/46).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 20. Solve 2 = -g - 0*p - 3*p, -h*g - p + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 4*s - 40, 2*s - 10 = -5*k. Suppose -2*g + k = -2, -v + 3*g = 2. Let l = v + -7. Solve -6*m + 2*m - 8 = l, -2*m + 4 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 5*t**3 - t + 7*t**3 - 14 + t**4 + 0*t**4 to the form u*t + o*t**3 + g*t**2 + x + p*t**4 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595385757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.94 - -0.24. Let u = q - -20.7. Let f = 1 + 0. Which is the nearest to f? (a) -4 (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose w*j + 8 = 3*j. What is the least common multiple of 1 - 24\/(-10) - 22\/55 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 18 = 5*s + 7, -z + 5 = 2*s. Solve 3\/4*d**3 + 0*d + 3\/4*d**z + 2*d**4 - 1\/2*d**2 + 0 = 0.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/11 + 166*y\/11 - 13668\/11 = 0.\nAnswer: -134, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*f = 3, -3*s + 2*f + 21 = -f. Let x = -1 + s. What is the remainder when 21 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-5))\/((-12880)\/(-175)))\/((-2)\/(-16)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*b = -90, 4*w + 0*w = -b + 129. What is the common denominator of (-101)\/69 - (-22)\/w and 73\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1151\/7 - -165. Let l be 3\/(2\/(-4) - -2). Is l > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -15. Let c(t) = -2*t - 8. Let q be c(f). Let s(k) = k**3 - 4*k**2 - k + 3. What is s(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2313 * -32\nAnswer: -74016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*x + 10. Let y be (-6)\/(12\/x) - -138. What is the greatest common divisor of y and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -37\/2*z**2 + 0*z**5 + 42 + 0*z - 218\/7*z**7 + 0*z**6 + 1\/3*z**3 + 0*z**4. What is the third derivative of x(k) wrt k?\nAnswer: -26160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r + 80*r + 99 + 197 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8271 and 0.4.\nAnswer: 3308.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144464?\nAnswer: 2, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*x - 33, 3*u - 45 - 9 = -5*x. Let o(i) = 0*i**2 - 2*i**2 + i**2 - 1 + x*i. Calculate the remainder when o(4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/31 + -25\/93. Is i < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i + 2*i)*(-4*i**4 + 2*i**4 + 4*i**4) + 3 + 3*i**5 - 3.\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -6*f**2 - 112. Let t(x) = 2*x. Calculate u(t(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 2 (b) 10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8578270 is divided by 608.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h - 47. Let y = 176 - 190. What is the tens digit of v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*z, -3*h - 8*z = -12*z + 337. Let s = -121 - h. Does 11 divide -4 + (147\/s)\/((-8)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -84. Let w = 2.8 - -11.2. Let d = w + y. Which is the nearest to d? (a) -1 (b) 4 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-14) - 78\/(-63). What is the smallest value in -0.5, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 82*d. Let h(v) = -72*v**2 + 40*v**2 + 34*v**2. Give w(h(k)).\nAnswer: 164*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134010 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18268*q + 7934*q - 15633*q + 34250*q to the form f + n*q and give n.\nAnswer: 44819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.60442 to one dp.\nAnswer: -78.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*o**3 - 249*o**3 - 222*o**3.\nAnswer: -297*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**2 + 0 + 0*g**6 + 0*g**5 - 2\/3*g**3 + 25\/42*g**7 + 0*g**4 - g. What is the second derivative of a(n) wrt n?\nAnswer: 500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2. Let t(i) = 2*i + 63899151. Calculate t(n(b)).\nAnswer: -4*b**2 + 63899151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 - 5*k - 6. Calculate a(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425908006?\nAnswer: 2, 212954003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17807 + 2522856583\nAnswer: 2522838776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyysyyyyiyiiiyymiy. Give prob of picking 1 s, 1 i, and 1 m.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270 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: Factor -l**2\/3 + 16\/3.\nAnswer: -(l - 4)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/13, -44039\/3, 0.7?\nAnswer: -44039\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + ((-6)\/(-4) - 191292\/(-24)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 12*b**2 - 3*b + 11. Let i = -54 + 42. What are the prime factors of k(i)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.032 and -21.\nAnswer: -20.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 3. Suppose 0 = -x - l + 2. Let r = x + -8\/7. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*j + 98, 0 = 5*j - 0*j - 4*n - 96. Suppose -19 = -3*v + 4*s + 16, -5*s - j = v. Differentiate 22*f**3 - f**2 - v + f**2 wrt f.\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.3 - -288.3. Let v = j + -271.7. Let k = -2\/53 - -222\/265. Which is the closest to 0.3? (a) 4 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 3*y + 5. Let z(i) = -i**2 + i + 1. Let u(t) = v(t) + 2*z(t). Let h = 1 - 2. Let b(r) = -1. Let n be 0 + 24\/(-3 + -1). Give h*u(q) + n*b(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -504 + 262. Let h = 319 + r. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.4643 and -1834.\nAnswer: -1831.5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 6 = -14*t - 10*k, t + 3*k + 2 = -2*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8097 is divided by 165.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 442053 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*s - 7, s + 2*m = -0 + 4. Suppose 2*g - 285 = 5*d, s*g = -g - 4*d + 393. Is g a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2775?\nAnswer: -8325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-14) - (-101640)\/294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*f = -257591 + 250647 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(176\/12) - 252\/(-77). Suppose 0 = 3*i + 25 + 5. List the prime factors of (-528)\/i - j\/(-15).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:13 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 963*a**3 + 983*a**3 + 1005*a**3 - 4898*a**3 + 982*a**3 + 975*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - (-4 - (-20)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 20*o**2 + 48*o - 58. Let d be z(22). Let m(g) = 2*g. Let r be m(6). Let c = d - r. Calculate the remainder when 70 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 6 = 28*t, 2*r = t + 462. Which is greater: 231 or r?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(-122*y + 56*y + 41*y) + 3*y + 0 + 0.\nAnswer: -122*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2190307*s + 7 + 1 + 2191299*s to the form v*s + u and give v.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 26*i**5\/5 + 37*i**4 + 88*i**3 + 56*i**2 - 64*i - 544. Factor r(f).\nAnswer: 2*(f + 2)**3*(13*f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000051349 rounded to 7 decimal places?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 3\/5 (c) -2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -12. Calculate the lowest common multiple of 7 and 5 - (l\/3 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i - 202. Let a(m) = -3*m - 12. Let d be a(-6). Suppose -9*p + d*p = 15, -p + 47 = 2*f. Calculate the remainder when i is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -345?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 - 5*n**2 - n**2)*(0*n + 0*n - 3*n) + (-3*n - 1 + 1)*(-3*n**2 + 6*n**2 - n**2) + 8 - 8 + 12*n**3 to u + x*n + t*n**2 + i*n**3 and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -4151*j**3\/6 - 39*j**2\/2 - 2520*j. Differentiate y(l) with respect to l.\nAnswer: -4151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 + 20 - 15) - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 37, 99, 199, 343, 537, 787, 1099?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.339 - -11.4. Let f = x - 3.181. What is f rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 <= 0.148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 154897417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6383980 and 1480.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**3 - 3*l**3 - 2*l**2 + 2*l**2 + 2*l**2 as m*l**3 + j + q*l + a*l**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 68.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142\/19 or -6?\nAnswer: -142\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74*r - 105*r - 141*r)*(-48 - 66 + 99) to the form f*r + m and give f.\nAnswer: 4800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllvlllv. Give prob of picking 2 l.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -l - 33, -l - 36 = -4*y + 3*l. Suppose -4*c + 0 = 3*n - 18, -5*c + 19 = 2*n. Solve -y*v + c*v = 3*a + 2, 0 = v - 5*a + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -20038*q - 233. Let x(v) = 514*v + 6. Let j(f) = 6*h(f) + 233*x(f). Let y(o) = 25*o. What is j(y(z))?\nAnswer: -11650*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 + 198*s - 972. What is a(44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -194, -465, -854, -1367, -2010?\nAnswer: -2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*z + 31*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 35. Let z = 18 - q. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 18*r + 27. Suppose -19*u + 18*u = 3*m - 120, -5*m + u = -200. Calculate the lowest common multiple of t(-17) and m.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 17*u**2 + 27*u - 19. Let t be j(-15). Let y = -43 + 56. What is the greatest common factor of y and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 0*j = 119. Find the second derivative of -16*x**3 + x - j*x**3 + 102 - 103 + 0*x wrt x.\nAnswer: -198*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.33837, -13, 1, -3 in descending order.\nAnswer: 1, -0.1, -1.33837, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + (-4 - 0). Let v = 102 - 99. Put v, x, -8 in decreasing order.\nAnswer: v, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k + 4. Let u be 1\/((5 - 4)*1). Calculate the remainder when b(-4) is divided by (65\/(-20))\/(u\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 4*f - 3*f)*(-9 + 123*f - 21 + 30) to the form u*f**2 + y*f + d and give u.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.206 - -4.794. Let z = 0.67 - 0.07. Let p = 0.3 - z. What is the closest to 1 in p, s, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k - 5*k + 10*k)*(-6 + 4 + 3)*(0*k + 0*k + 6*k)*(2*k**2 - 2 + 2).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923717?\nAnswer: 337, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 235805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -110230?\nAnswer: 110302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**6\/360 - o**3\/2 + 5*o. Let a(w) be the second derivative of z(w). Let b(h) = -h. What is a(b(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 7 - 2)*(-2 + 0 + 0)*(2*z + 0*z - 4*z) in the form j*z + l and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - d - d**2 - 3*d**3 + 4*d**4 + 17*d**3 + 0*d**3 - 18*d**3 - 2 as h*d**4 + x + o*d**2 + b*d + g*d**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5*l + 4*b**4*l - 36*b**3*l + b**3 - 3*b**2*l - 1138*b**2 wrt b.\nAnswer: 60*b**2*l + 96*b*l - 216*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17 and -311852738?\nAnswer: 311852737.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1385c7 + 3?\nAnswer: -1385c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 112597 + -112596.8999995. Let n = 0.3 - 0.2. Let r = o - n. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -38, -59, -80?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 33.3. Sort 2\/9, w, -2 in decreasing order.\nAnswer: 2\/9, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22836.5535 - 22799. Let r = -0.0535 + w. What is r rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 53*b**3\/3 + 478*b**2\/3 + 433*b\/3 + 8\/3 = 0.\nAnswer: -8, -1, -1\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92367989 to the power of 1\/2, to the nearest integer?\nAnswer: 9611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/74368 and 71\/3984.\nAnswer: 223104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 110000010010111111100101010?\nAnswer: 110000010010111111100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9379220, 18758441, 28137662, 37516883, 46896104?\n\"Answer: 9379221*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 77077697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 7*z**4\/12 - z**3\/3 + 17*z**2\/2 - 201*z. Suppose -3*g + 14 = -0*b + b, -g - 12 = -3*b. What are the prime factors of r(b)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1270*z**2 - 56*z - 5?\nAnswer: -2540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11859 is divided by 11847?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + (9 - (11 + -26 + 2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78.971 + 0.029. Let v = m + -80. Is v != -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 2:38 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -13, -14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5061 + -30433\/6. What is the common denominator of -14\/27 and j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16190 = 5*m, -f = -5*m - 352 + 16554. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(270)\/sqrt(6) - (-1*sqrt(50))\/sqrt(10)) + -4)**2.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgffgf. Give prob of sequence ggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 18 = -218 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.886 rounded to 1 dp?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11015 (base 6) in base 9?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 0, 8*a = -2*d + 3*a + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-20))\/(((-33)\/6)\/((-3)\/(-3)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 22. Let n be f*(-2)\/(-16)*33\/(-55). What is the second smallest value in n, -0.5, 12\/7, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2416*c*q**4 - 3*c - 852*q**2 + 10*q wrt q?\nAnswer: 57984*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/(-3*sqrt(5))*-4)\/((sqrt(30)*1 - sqrt(30))\/sqrt(10) + sqrt(3) + (sqrt(243) + 2*sqrt(243) - sqrt(243)))*-3.\nAnswer: -4*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)\/(c*c**(-5\/6)))**4 assuming c is positive.\nAnswer: c**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*x**4 - 931*a*x**2 + 3*a*x - 3601*a - 215*x**5 + 259*x wrt x?\nAnswer: 24*a*x**2 - 1862*a - 4300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 106 - 22 = 340. Solve 13*p + j = -55 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526896 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 428*k - 16. Let g(h) = -143*h + 5. Determine 2*c(r) + 7*g(r).\nAnswer: -145*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -12*w - 200. Let k = 4 - 3. Let u(z) = 13*z**3 + z. What is the remainder when w is divided by u(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 0.99\nAnswer: -30.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -98038.7 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*i = -14, -2*o = i - 3*i + 2. Let c be 19*(28\/70 - o\/(-5)). Solve 12*z - c*z - 35 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9784 + -9795. Sort 5, -1, -2, n, 6 in decreasing order.\nAnswer: 6, 5, -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 2, q: 7, d: 1}. What is prob of sequence ss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - 38\/(-14). Let a be 4 + (-12)\/(-30)*-5. Suppose a*k + k - y = 0. Sort -1, -5, k in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/3)\/b)\/((b**4*b)\/b))**(-45))**(30\/13) assuming b is positive.\nAnswer: b**(4500\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4511671 and -2.5?\nAnswer: 4511668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121011012202 (base 3) in base 2?\nAnswer: 11001111011000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/270 and (-2 - 6312\/(-3159))\/(32\/3072).\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 0, 343 = 2*k + 8*g - 13*g. Let c = -148 + k. Suppose -4*z = 3*s - 67, s + 8 = 3*z - 39. What is the highest common divisor of c and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 23*d + 4 = -1029 - 1255 for d.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5)*(3 - w**4 - 3) + (2*w - 2*w + 2*w**2)*(4*w - 4*w - 8*w**2) to the form t*w**2 + f*w + a + c*w**3 + v*w**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/81)\/(12\/(-36))*1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.99 to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246736510 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -3*m + 4*d, -17*m + 450 = -d + 1288. Let n(c) = -9*c - 440. Calculate n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7*w + 5. Let v be g(-8). Suppose 0 = k + 2*k - 12. What is the least common multiple of 6 and k\/(-10)*150\/v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h - 3. Let j(f) = 20*f**2. Calculate j(o(u)).\nAnswer: 720*u**2 + 720*u + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2150 (base 7) to base 16\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t - 20. Let n(w) = w**2 - 2. Let d be n(2). Let g = -4 - d. What is the remainder when o(g) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -334*f**2 - f + 4. Let i(w) = 670*w**2 + 2*w - 9. Determine 3*i(m) + 7*t(m).\nAnswer: -328*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-80))\/((20\/(-5))\/(-8))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 939\/420 + 2\/(-7). Let t = -7\/4 + r. Put -0.1, -2\/3, t in ascending order.\nAnswer: -2\/3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.381625ml in litres?\nAnswer: 0.006381625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4)\/((-603)\/1407).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i + 181. Let w(p) = 46*p - 6. What is the remainder when w(6) is divided by d(20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 2, d: 1, z: 1, f: 1}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89 + 108?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90829815587*u**2 + 11*u - 11*u - 90829815585*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 256741205 divided by 7?\nAnswer: 36677315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -44. Calculate the remainder when 6 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(36\/3)*(0 + 0). Let l be (-5)\/(-5)*2 - (p - -3). Let c(q) = 7*q**2 - 2*q - 1. Let m be c(l). Solve 3*n - m = -o, -2*n = -7*n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 162*l**2 - 71*l - 1057. List the prime factors of c(-16).\nAnswer: 37, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 301?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -65. Suppose 2*q + 33 = r. What is the highest common divisor of q and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*j**2 - 7*j - 12*j + 22*j wrt j?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1838622.\nAnswer: 1\/612874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3*v**2 + 3*b**3*v - 3*b**2*v + 257*v**2 wrt b?\nAnswer: 3*b**2*v**2 + 9*b**2*v - 6*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 340, -5, 24, 1 in descending order.\nAnswer: 340, 24, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 + 6*l + 10. Let h be m(7). Let b = -103 + 100. Sort b, 1, h in ascending order.\nAnswer: b, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z. Let d(f) = -3*f - 4. What is d(h(g))?\nAnswer: 9*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcuctct. What is prob of sequence uct?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-5) - (-1 + 2). Let q be (w\/9)\/(1\/51). Suppose -5*r + 5*l + 247 = -r, r - 73 = -l. Calculate the highest common factor of q and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -1 (c) -3\/8 (d) 1\/6 (e) 0.5 (f) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Suppose 14 + 1 = y*q. Let j = 32687 - 32687. Put 10, j, -1\/4, q in decreasing order.\nAnswer: 10, q, j, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let t be b(2). Solve 0 = -2*f + 5*x + 30, -t*x + 3*x - 9 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -32*a + 7192. Is x(99) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 376*x - 661 + 661 + 7074*x as z*x + w and give z.\nAnswer: 7450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -100, 43, 244, 503, 820, 1195?\nAnswer: 1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 6*i**2 + 7*i - 4. Let r be l(-4). Solve -264*y + 260*y = r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 11. Let u be t(5). Let a be 6 + (1 - u)\/(-2). Let o = 46 - 30. Solve a*w = w - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 949c + 7e6?\nAnswer: 9c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10 + 4)*(-4)\/(-20)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 3258?\nAnswer: 26064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11363\/6 or -1895?\nAnswer: -11363\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -1589848?\nAnswer: 4769544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -665*z - 56. Let p be q(8). Calculate the common denominator of ((-560)\/p)\/((1\/(-4))\/1) and 2 - (1 + (-177)\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffx when three letters picked without replacement from vvffvvvvxvxg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5*d**2 - 13*d + 11. Let l(y) = -y**3 - 4*y**2 - 14*y + 11. Let x(p) = 6*h(p) - 5*l(p). Let f be x(-9). Solve f*q + 2*q = -16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 23. Let i = p - -9. Suppose i = g + 4*a - 4, 4*g - 7 = -4*a + 9. Let s(m) = -m**3 + 5*m**2 - 2*m - 3. Calculate s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**2\/2 + j - 10722. Let g(s) = -42*s + 12. Determine -g(c) + 12*i(c).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 22.2. Let v = 3.3 + u. Let n = 2 + -2.4. What is the nearest to 2\/5 in v, n, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11779 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1188)*6)\/(sqrt(363)*-1 + 1*sqrt(12)\/sqrt(4)).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-1 - 3 + 3)*(3 + 1 - 6)*(-16*x + 12 - 21 + 6).\nAnswer: 32*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 208824?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/60 - 22\/(-10). Suppose 3*j - j = m. Solve -4 - j = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287421 to the power of 1\/2, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**6\/3 + 24*r**5\/5 + 77*r**2 - 209. What is the second derivative of v(a) wrt a?\nAnswer: 40*a**3 + 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 411 = -39. Suppose -65*j**4 + 35*j + 110*j**3 + 1 - r*j**2 - 6*j**5 - 4 + 21*j**5 - 2 = 0. Calculate j.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -7 + 0*i + 0*i**2 + 0*i**4 + 25\/7*i**7 - 1\/6*i**6 - 31\/3*i**3 + 0*i**5. Find the third derivative of c(r) wrt r.\nAnswer: 3000*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -3\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.2 (b) 27 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/141829 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - 4 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 43*y - 60*y = -3971100. What is the ten thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, v: 3, n: 6, j: 2, o: 1, h: 2}. What is prob of sequence vjqq?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99442 + 183275. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20) + 4\/(-10). Let y = l + 5. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110111 (base 3) to base 16\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(300) - (2 + (sqrt(300) - (sqrt(300)*2)**2)) - (sqrt(300) - ((-2*sqrt(300)*-3)**2 + sqrt(300))))*-5 + -2)*-3.\nAnswer: 179973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (0 + -17 - 12 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 357\/(-414) + (-115)\/30 + 4. Let d = f - -172\/115. What is r in d*r**3 - 21\/5*r**2 + 21\/5*r - 4\/5 = 0?\nAnswer: 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 19 + 3*p.\nAnswer: 3*p + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 508185 and 3198?\nAnswer: 541725210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/105744 and 22\/7.\nAnswer: 740208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(s**2 - s**2 + 3*s**3) + 2*s**3 - s**3 - 2*s**3 + s**2 - s**2 + s**3)*(13*s**2 - 4*s**2 + 2*s**2).\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - -30. Suppose 4*p - t = -2*k, 0*p + 8 = 4*p. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 1628*u**3 + 2*u**2 - 1628*u.\nAnswer: -2*u*(u - 814)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/370185 and 64\/1305.\nAnswer: 1110555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4 - (-4 + 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-417)\/(-1956)*14 + 6\/(-2). Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d + 32 = 0. Let y(a) = 32 + a - d. Let u(x) = -11*x**2. Determine y(u(j)).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 745 by 6.\nAnswer: 745\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117168358 minus 16216?\nAnswer: 117152142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19.8*0.026\nAnswer: 0.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by -18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + z - 6*z = -40, 12 = s + 5*z. Let q be (-3)\/(-21) - (-181)\/s. Let r(k) = 2*k - 28. Is 15 a factor of r(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (455\/78)\/((-85)\/306)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21004 is divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*(u\/u**(1\/11))\/u)\/u)\/u)**24*(u**(-6\/7)*u)\/(u\/u**(3\/2)) assuming u is positive.\nAnswer: u**(-237\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1603601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 + 25. Let c be q(0). Calculate the greatest common divisor of c and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1891.4 - -1072. Let r = k + 819.58836. Let q = r + -0.19. Round q to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300033074?\nAnswer: 2, 11, 37, 151, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -12*l**4\/13 - 4982*l**3\/13 + 30216*l**2\/13 - 45486*l\/13 = 0.\nAnswer: -2527\/6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/((-4)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8364680*b**2 + 6 - 6.\nAnswer: 8364680*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5199704 rounded to three dps?\nAnswer: 3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 1. Let x(m) = 7*m + 3. Suppose 2*a - 5*s = 5, 3*a = -s - 4*s - 30. Calculate a*k(y) - x(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, r: 2, g: 1, t: 6}. What is prob of picking 1 r and 1 g?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*m = 588. Suppose 1280 = m*z - 80*z. Calculate the greatest common divisor of z and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x. Let g be x*2\/(-6) + 1. Let c be g\/(-5) - 122\/(-10). Calculate the greatest common factor of c and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/9 - 151*w**4\/3 + 11441*w**3\/9 + 74486*w**2\/3 + 644252*w\/9 + 89240\/3 = 0.\nAnswer: -10, -3, -1\/2, 46, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctnt when four letters picked without replacement from {n: 1, c: 2, t: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062558916 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-18))\/(20 - 18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 19*m**2 + 9*m. Let q be d(-3). Calculate the highest common factor of 32 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a8 (base 11) in base 14?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7851140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -88643045.\nAnswer: -2659291.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90393227*v**5 + 3*v**3 + 30588*v - 2751 wrt v?\nAnswer: 1807864540*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222320 (base 5) to base 14.\nAnswer: 2bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -r + 5*y, -10*r + 5*y = -6*r - 44. Which is smaller: -6\/17251 or r?\nAnswer: -6\/17251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6126?\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 + 233*a**2\/3 - 41*a\/3 - 26 = 0. What is a?\nAnswer: -39, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:29 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85317.\nAnswer: 3, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 15 = 0. Suppose 95 = 4*o - 5*t - 0*t, -q*t + 11 = o. Suppose -5*p = -p - o. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9282 is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3983*q + 5*u = 3981*q - 72, q - 5*u = 84 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*l - 4, 86*l = 84*l - 3*i - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7735 - -0.77464. What is w rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 0.1. Let x = 44 + -47. What is the smallest value in 5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a27 (base 11) in base 10?\nAnswer: -5232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 2*z - 2. Let x be k(0). Let v be (1\/x)\/((-1)\/4). Suppose -v*r + 4*y + 31 = 5, 4*r - 13 = -5*y. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134*b**5 + 157*b**3 - 89138*b wrt b?\nAnswer: -2680*b**3 + 942*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84.999884 + -85. Round s to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 663857326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.03, 7, -3\/7, 3\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6188447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 - 21*v + 2. Give q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -5*v - h, 2 = -h. Suppose 2*w - 3 = -11. What is the nearest to -2\/3 in -1, w, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -10445211?\nAnswer: -10445210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/5 + (-8)\/(-20). Let c = -6 + 6. Suppose 46 = 3*b - j*t, 5*t + 58 = -c*b + 4*b. 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 (0\/(-1))\/3 - 735\/420?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3f5d4d (base 16) to base 9\nAnswer: 7728328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461200?\nAnswer: 2, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 39. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.39 - 28.61. Let o = -28.962 - c. Let k = 0.038000675 - o. Round k to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -258*s - 17. Suppose 5 = 9*l - 49. Let t be 4 + 7\/(-1) - l. Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6496 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10183121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188308 * 0.05.\nAnswer: 9415.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8623 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-3)\/((-9)\/(-6)). Let f = 4 - w. Suppose -2*k - 9 + 25 = f. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -21*n + 40*n + 4 + 86*n. Let o be u(-12). List the prime factors of (-32)\/(-240) + o\/(-30).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.11 + 0.11. Let k = a + 6. Which is smaller: 6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 91*h - 582. Let d be s(6). What is the nearest to -4 in 2, 4, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4870004718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-48)\/28)*(-2)\/14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/21)\/((-6)\/(-4)). Which is the second smallest value? (a) 3 (b) 0.7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65601 and 42624?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2541, 2538, 2535, 2532, 2529?\nAnswer: 2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from mzfzmmjommmmmfmmjmj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 23, 39, 59?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by -516.\nAnswer: -50\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b)**(2\/13)\/(((b*b**33*b)\/b)\/b**(-5\/2)) assuming b is positive.\nAnswer: b**(-937\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 115, 156, 197, 238, 279?\n\"Answer: 41*a + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 18*a**2 + 18*a - 5. Let u(p) = p**3 + p**2 + p - 1. Let j(h) = 2*u(h) - w(h). Does 9 divide j(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:22 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/7 and (-133)\/(-36) + 2\/(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**3 - 76275*z**2 - 356840715*z - 469959547805 = 0.\nAnswer: -6523, -2209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 151, 334, 645, 1078, 1627?\n\"Answer: -k**3 + 70*k**2 - 20*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 18 = 2*w, 2*g - 6*g + 3*w = -13. Suppose -o = -5*k + 247, 3*k - g*o - 204 = -k. Suppose 0 = -x + 50 - k. Put -0.3, 3, x, 2 in decreasing order.\nAnswer: 3, 2, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/42*(-4 + 13\/26). What is the highest common factor of w and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 - 9 = -2*d, -l = -4*d + 26. Let f be ((-18)\/8)\/(d\/16). What is the common denominator of 315\/(-196) - f\/(-8) and 71\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536853283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 8:12 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from chhhchhhh.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - -11) + 0 + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2. Let b be w(2). Let u = -6 + b. Round u to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, 12, -1, 1, -416.1?\nAnswer: -416.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11503?\nAnswer: 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 7226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -637195661 divided by 639113.\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 5\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71\/3 - 24. What is the closest to 2\/5 in -2, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -120*z. Let h(g) = -6*g + 4. Give h(b(y)).\nAnswer: 720*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:34 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3 + ((-45)\/(-2))\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(-o**2 - 3*o + 3*o) - 11*o**3 - 19*o**3 - 16*o**3.\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3354084.\nAnswer: 2, 3, 93169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -101*w**7\/210 + 32*w**3\/3 - 113*w**2. What is the derivative of f(l) wrt l?\nAnswer: -404*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/(-4)*24\/(-18). Calculate the greatest common divisor of 45 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 6*a**2 - 2*a + 5. What are the prime factors of o(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/3780*-54)\/((-1)\/(7\/(-20))).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 1100086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43903, 87803, 131703, 175603?\n\"Answer: 43900*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:59 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*2\/18)\/((-8)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/(-12))\/2)\/(75\/540).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56858 is divided by 2350?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = -3*y - 7, 6 = 3*y. Let w be (-2)\/a - 15\/21. Let i(d) = -7*d + 1. Calculate the smallest common multiple of i(w) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 12010221?\nAnswer: -12011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20128.67375045769 - -47515536.60374931769. Let v = 47495409 - t. Let s = v - 1.07. What is s rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -b12?\nAnswer: -b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*u**3 + 16*h**3*u - 124*h**3 + 17*h**2*u**3 + 1601*u**3 wrt h.\nAnswer: 18*u**3 + 96*u - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.4, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 201, 253?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -148*o - 1149. Determine z(-6).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 23. What are the prime factors of ((-12)\/c)\/(2\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ntnnnnt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 5504\/101?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 63 = 3*k, -o = -3*o + 3*k + 17. Let b be (7\/((-21)\/288))\/(o\/(-56)). Calculate the greatest common factor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84364 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -191. Suppose -503 = -7*z - 391. Solve -4*c - z = -w*x, -3*x = 3*c - c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/3 - -2)\/((-2)\/(-18)). Let o = c - 41. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/(-5 + (-69)\/(-12))*-46.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.1. What is the nearest to 0.1 in w, 1, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 0.116?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 158\/1659*1*7. Let n = 1.2 - 7.2. Put n, 4, s in descending order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81615479 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - c**2 - c - 16. Let d be s(-3). Solve d*w = -16 + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - s - 2. Let v(b) = 7*b**2 + 3*b + 5. Let n(c) = -c**2 + 9*c - 12. Let k be n(7). Give k*v(f) + 5*o(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/15 (b) 993 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 56 = 4*b + 4*d, d = 5*b - 131. Suppose -4*f - 1725 = 1099. What is the units digit of 2\/(-13) - f\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-4)\/(-2) - (-38 - -8 - -36). Let o(w) = w**2 - 3*w + 3. Suppose 0 = -r + 2*r - 2. Let f be o(r). Sort -5, y, 3, f in decreasing order.\nAnswer: 3, f, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + (-366)\/(-15). What is the common denominator of 2 - (3\/6 - 2) and (-187)\/i - (-40)\/60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846870 to the power of 1\/2, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28585069 divided by -28585069\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071529 to seven dps.\nAnswer: -0.0000715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/4 + -1 + (-135)\/(-60). What is the hundreds digit of 4535\/(-50)*-2 + w\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44754324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4424*g = 4445*g - 840. Suppose -188 - 202 = -5*m. Calculate the remainder when m is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 4049 + 3*q**3 - 3868 - 2*q**3 + 0*q**3 + 0*q**3 + (2 - 3*q - 2)*(-q**2 - q**2 - q**2).\nAnswer: 5*q**3 + 181","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -18252456.080458?\nAnswer: 18252434.080458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**3)\/(a*a**0))**(21\/4) assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*38248\nAnswer: -76496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 22 = -19. Let g be -4 + 0 + 1 + x. Which is the third smallest value? (a) -1\/2 (b) -1 (c) 0 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25\/3 - 8. Let i(b) be the first derivative of 1 + 0*b - t*b**3 + 1\/2*b**2. Find the second derivative of i(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**2 - 165*d + 165*d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + (-33)\/45. Let h = 176 - 171. Which is the closest to 0.2? (a) j (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3917449 and 3761.\nAnswer: 3761.3917449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttgttgtttttttt. What is prob of sequence gt?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589161.\nAnswer: 3, 196387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 58 + 1 + 3443 + -3538\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 2*d**3\/3 - 41*d**2\/2 + 22*d + 5. Let g be b(20). Suppose -k + 152 = m - 3*k, -g*m + 2*k + 308 = 0. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(288) + (-1*sqrt(288))**2) - sqrt(288)) + 5 + 3*((2*sqrt(288))**2 - sqrt(288))*1.\nAnswer: -36*sqrt(2) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 3, x: 3, d: 6, k: 1, r: 1}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 31198 and 3842 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(-3 + 35\/14). Let w be (1 + 0)\/((-49)\/(-42) + c). Solve 4*l - 26 = -w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 38*m + 26. What is i(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1700) + 1 + -5 + 2*sqrt(1700).\nAnswer: -1 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 29 - 27, 4*l = 4*w - 8. Solve -w*i = -48 + 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:53 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a08 (base 13) in base 5?\nAnswer: -313421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + 10. Suppose 21 = -4*b + r. Solve b*p - 4*p = 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -4\/21*k**3 - 11\/7*k**2 - 18\/7*k - 209. Factor z(o).\nAnswer: -2*(o + 1)*(2*o + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 = -r. Let n be r\/4 - (-15)\/4. Solve -5*i - 3*f = -15, n*i - 10 = f - 3*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3330, -13424, -30246, -53796, -84074?\nAnswer: -121080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7073 is divided by 640?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 6*y**3 - 553*y**2 + 4*y**3 - 2296*y**2.\nAnswer: y**3 - 2849*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/11 + 2 + (-18 - -21).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/186571 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13640 + 401*r + 13640)*(19 + 35 - 30).\nAnswer: 9624*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2416*p**2 - 4*p + 4*p + 943*p**3 + 955*p**3 - 1767*p**3 wrt p?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -148, -476, -1110, -2152, -3704, -5868, -8746?\n\"Answer: -17*w**3 - 5*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1137486787*g**5 - 284811468*g wrt g.\nAnswer: -22749735740*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2028, 4054, 6080, 8106?\nAnswer: 10132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 9*g**2 - 9*g - 8. Calculate the least common multiple of y(10) and 75\/21 + 6\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*h**3 + 432*h**2 - 6*h - 432*h**2 - 17*h**3 + 4 wrt h?\nAnswer: 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 630 + -589. What is the remainder when 654 is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*v**4 + v**3 + 631.\nAnswer: 76*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03222 - 8106.4?\nAnswer: -8106.43222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 + -0.08. Let j = -17\/10 + 6\/5. Which is the nearest to j? (a) u (b) -5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15 = -3*y + 2*y, 5*y - 5*g = -25. Let n(o) = o. Let h(u) be the third derivative of u**5\/60 - u**4\/12 - u**3\/6 - 2*u**2. What is y*h(i) - 3*n(i)?\nAnswer: -i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 2. Let x be r(2). Let a(l) = -l**2 + 204*l - 1759. Let z be a(9). Put x, 5, -2, z in decreasing order.\nAnswer: 5, -2, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trt when three letters picked without replacement from trtt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-5 + -1)) + -1 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 51504045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4904.7 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - 6. Suppose -w*z + 189 = z - 2*h, 0 = -2*h + 6. Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1*sqrt(12)*4)\/sqrt(6) - (5 + sqrt(2)*1 + 5*sqrt(6)\/sqrt(3) + sqrt(2))))**2 + -5.\nAnswer: 44*sqrt(2) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 2548774?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {h: 4, p: 4, y: 1, t: 1, d: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1405964837318 and 0.13.\nAnswer: 1405964837318.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0942937l to millilitres.\nAnswer: 94.2937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.3 * -835.\nAnswer: -5260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -42. Let q(c) = c**2 + 5*c + 7. Let p be q(g). Let t(h) = -p + h**2 + 0*h**2 - 2*h - 5*h. What is t(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 273*w - 268*w + 500. Let s be 18\/(-5) - (-5)\/(w\/8). Let d(a) = -50*a - 3. Is d(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -16 + 13 + 14 - 71) + 17.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 16*v - 25. Let m be z(-14). Suppose d = -4, 4*k - 4*d + m*d = 152. Suppose 0*j = -j + k. Solve -j + 12 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1104821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 + 30 = 0. Let h = p - 8. Let w(v) = v**3 - 8*v**2 + 10*v - 3. Let x be w(h). Solve 5*n - 2 - x = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035207976 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/10))\/n*n)\/n*n**11*n*(n**16)**(6\/13) assuming n is positive.\nAnswer: n**(2533\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 11. Suppose -o - 2425 = 3*m, f*m - o + 4055 = 3*m. Round m to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + (2 + -5 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = 114. Calculate the remainder when i is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 - 6. Give s(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:26 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g. Let k(y) = 0 + 4 - 4*y**2 - 4. What is k(i(b))?\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20426966 and 12?\nAnswer: 122561796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1271344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 18. Let z be m(-5). Let u = z - -38. Solve -5*a - h - 9 = u, -4 = 2*a + 5*h - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let g(x) = x - 1. Let y(v) = -5*v - 4. Let o(h) = h + 1. Let c(s) = -9*o(s) - 2*y(s). Let u be (4 + 2)*4\/6. What is u*g(q) + z*c(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -29. Calculate the remainder when 20 is divided by (3\/h)\/(27\/(-198)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 0 = 1620. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -932.9 - -933. What is the nearest to 1 in o, 0.4, 0.5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x - 129*x**2 - 15*x + 80*x - 21*x - 24*x.\nAnswer: -129*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80545 = 5*a - 4*s, 48334 = -3*a + 7*s - 6*s. Let d = a - -483449\/30. What is the common denominator of d and 64\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 15 = -19*o. Solve -3*t - t - 20 = o*y, -3*y = t + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2264587 and 5083?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(88\/(-12)))\/((-3)\/20)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 11. Suppose -3*t - 2*l = -7*l - 1, -x = 4*t - 3*l. What is the biggest value in t, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137019624.\nAnswer: 2, 3089, 86477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 74\/14 + 18\/315*-5. Let r(w) be the third derivative of 0*w + 0 - 1\/12*w**4 - 2\/9*w**3 - 1\/90*w**k + 4*w**2. Let r(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 143\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.38 + 6.48. Sort -3\/4, 6, h in ascending order.\nAnswer: -3\/4, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 61, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 13.3, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 1. Let d be h(-1). Differentiate -3*b**d + 3*b**2 - 4 + 6*b**3 with respect to b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from twvjqstv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgssgssskszkkfsfs. What is prob of picking 2 g, 1 z, and 1 s?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 192*f + 10098. Give g(-52).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 24*c**2 + 28*c + 159. Let d be b(24). Let y = 834 - d. Factor 0*o**y + 3\/5*o + 0 + 7\/10*o**2 - 1\/10*o**4.\nAnswer: -o*(o - 3)*(o + 1)*(o + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Suppose i*t - 5 = 3*m + 4, -4 = -m - t. Let v = -0.0161 - -8.0161. Is m bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2394, -2238, -2082, -1926?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 36 + 7*r**2 - 5*r**2 - 128*r.\nAnswer: 2*r**2 - 128*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-1) - -6) + -4*2 + 2414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230 - -237. Let h be 0\/(8*t\/28). Let s(n) = -n**3 + n**2 + n + 9. Determine s(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2. Let j(y) = 15*y + 13. Let q(h) be the first derivative of -7*h**2\/2 - 6*h - 3. Let u(c) = 6*j(c) + 13*q(c). Determine t(u(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, z: 2, u: 7}. Give prob of picking 3 u and 1 z.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -17*g + 2. Let h be j(-2). Let m = -22 + h. Suppose -a + 5*b = m, 0*b + 3*b = 2*a. Solve f = 2*u + 3, -4*f = 3*u - a*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 4, v: 8}. What is prob of picking 2 v?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100 (base 2) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121 - -14464?\nAnswer: 14585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.10879 - 0.10879. Which is the fourth smallest value? (a) q (b) 3 (c) 4\/3 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(350)*1)\/sqrt(10) - 1*sqrt(70)\/sqrt(2))\/(2*((sqrt(60)\/(sqrt(24)\/sqrt(2)) - sqrt(5)) + sqrt(180))) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14376 + -9782. List the prime factors of o.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18313721?\nAnswer: 167, 109663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51\/35 - -13\/7. Suppose 9*z - 10 = 4*z. Suppose 5*s + 8 = -q + z*q, 3*q - 14 = 5*s. Sort -0.4, x, s in increasing order.\nAnswer: s, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Let w be -2 + (3 - -3) - 0. Suppose -w*t - y - 3*y = -436, -g*y = -15. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 70*a + 5. Let r(w) = 14*w + 1. What is 2*d(o) - 11*r(o)?\nAnswer: -14*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 6*q + 5*q**3 - 4*q to the form x + w*q + n*q**3 + i*q**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(231\/(-45)) + 2 + -4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = 3. Suppose -m - 2*i - r = 0, -5*m - 3*i + 4*i - 9 = 0. Is 2\/3*(-753)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:15 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 10560069.\nAnswer: 10560069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1346\/18 - (-4)\/18. Let i(q) = -q + 39. Let b(a) = -2*a + 76. Let k(w) = 3*b(w) - 5*i(w). Let l be k(3). Calculate the highest common factor of l and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.51 + -2.5. Is -0.03 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:11 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o = -31*o - 14 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 6850*m - 3139197. Calculate n(-545).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(-7) - 2)*(-11 + -2). Solve 5*s = -h - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*f + 2\/3*f**3 - 4\/9 + 8\/9*f**2 = 0. What is f?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 101212201120020001?\nAnswer: 101212201120020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 14. Solve j + 5 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/6*(-25)\/(4250\/68))\/(10\/(-168))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1062300 divided by 88525\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*i = -2 - 8, 3*q = 4*i + 2. Sort -8, -3, q.\nAnswer: -8, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*m**2 - 11*m + 11*m to the form t + a*m + r*m**2 and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1932.8974?\nAnswer: 9664.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421, -4471, -15491, -36967, -72385, -125231, -198991, -297151?\nAnswer: -423197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -18 + (4 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 533444 (base 6) to base 11\nAnswer: 2a826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39310522 or 39310521?\nAnswer: 39310522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -3\/2*b**3 + 2\/15*b**5 + 0 + 5\/12*b**4 + 0*b - 12*b**2 - 1\/120*b**6. Let q be f(9). Solve q = -3*v + 1 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 10. Let t(u) be the first derivative of 0*u**3 + 1\/5*u**5 + u**2 + p*u + 0*u**4 + 3. Find the second derivative of t(b) wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(3*sqrt(78) + sqrt(78)) + sqrt(78))\/(sqrt(96)*-1))**2 + -5*(-3*-1*sqrt(117) + -4).\nAnswer: -45*sqrt(13) + 1893\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, h: 10}. What is prob of sequence thhh?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*c - 4578 = -1308 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2643594, 2643567, 2643540?\n\"Answer: -27*j + 2643621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*t + 5 + 5*t**3 + 43 - 46 as g*t + z*t**3 + c + p*t**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 61*o = 525 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ooosooooooooooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15756742 and -3.8679.\nAnswer: 15756738.1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = -16*n - 367 + 151 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1035.58, 1 in ascending order.\nAnswer: -1\/6, 1, 1035.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 2. Let s(r) = -3*r. Let v(o) = -4*q(o) + 6*s(o). What is v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5322970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -4\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3331*j**2 + 146834*j - 966818888 wrt j?\nAnswer: 6662*j + 146834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - w**3 + 23*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.064 - 4.064. Let b = -524\/21 + 74\/3. What is the second biggest value in 1\/2, a, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5802.96 - 5803. Which is the biggest value? (a) -0.5 (b) -0.38 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j**3 - j**3)*(-3 + 2*j**2 + 3) + 11 - 2*j**2 + 14*j**5 - 11.\nAnswer: 18*j**5 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*l = -8, 5*l = 2*q - 23 - 15. What is the nearest to -2\/3 in 20, q, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + g - 2*g)*(0 + 14 - 5) to q*g + r and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -594 - -601. Let u(p) = 19*p**2 - 10*p + 7. Let v(f) = 6*f**2 - 3*f + 2. What is r*v(l) - 2*u(l)?\nAnswer: 4*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3045 - 3046. Suppose -5*u - 110 = -5*z, 0 = -4*z + u - 18 + 97. What is the third smallest value in g, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7754420 and 7160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -26*y + 81. Let r be h(3). Suppose -4*q + r*z = 1362 - 4262, -q = -4*z - 712. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (2*sqrt(2178) - sqrt(2178)))\/sqrt(9).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -17 - 16 - 15 - 4*h + 50. Let q(d) = -d. Give q(u(m)).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -802064839\/6023 + 133167. Are -1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-140)*287\/(-2) - -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*2\/16*(-24)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + u + 0*u = -29, 5*o + 2*u = -33. Let b be 9\/(-78)*o*(-32)\/(-120). Find d such that -b + 2\/13*d**2 + 0*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 (base 11) in base 2?\nAnswer: 101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1056 and 12639264.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -2*sqrt(152)*-4)\/sqrt(8))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g*g\/g**(-4\/13))\/g)*g\/(g**(-4\/13)*g)*(g\/g**4)**(-39) assuming g is positive.\nAnswer: g**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 - 2*s**3 + 270*s**2 + 1276*s**2 - 2*s**4 - 445*s**2 in the form v*s**3 + t*s**4 + i*s**2 + o + w*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -48.9983. What is z rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2 + 60*w + 288 = 0. What is w?\nAnswer: -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 5*c - c - 5 + 3 in the form g*c + l*c**2 + q + j*c**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -371663072 divided by 2111722\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**3 + 3*w**2 - 7*w + 4. Let j(v) = -5*v**3 + 2*v**2 - 6*v + 3. Calculate -5*j(d) + 4*r(d).\nAnswer: d**3 + 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*n + 0 = -0*n + 2*n + 7, 0 = -3*j - 6*n - 30 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 740568*a*r**2 - 165163*a*r wrt r.\nAnswer: 1481136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1116*p**3 - 5*p**2 - 63*p?\nAnswer: 6696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01048505498 to four dps.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 283207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276887, -1107534, -2491947, -4430126, -6922071, -9967782?\nAnswer: -13567259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1228 + 753 - 628 - 714 - 1142)*(3*w**3 - 2*w**4 - 3*w**3) as s + u*w + v*w**4 + y*w**2 + d*w**3 and give v.\nAnswer: 5918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 - (12 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 9 = -304*l + 299*l, -4*l = -3*y - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 3. Let r be d(2). Let w be r\/((-3)\/(-6) + -2). Let n(j) = -j**2 + 6*j + 71. Let x be n(12). Sort w, x, 3 in decreasing order.\nAnswer: 3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewzwjtd. What is prob of picking 1 d and 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1264 - -1264. Solve 3*n - 9 = h - m*h, -h = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556193*j + 9492 = -556645*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 80467.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -197, -404, -617, -836, -1061?\n\"Answer: -3*h**2 - 198*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 49*u - 52*u + 3 = 0, -i - 2*u + 2 = 0. Solve 2*x - 5 = c - i*c, 5*c + 25 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 403 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 37*m = 180 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1765 and 1769942?\nAnswer: 8849710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1 (b) -5 (c) -51 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(11 + 160\/(-15))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.3 - 58. Let c = -2.5 - y. What is the nearest to -1\/2 in c, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 - y - 1 + 5*y + 2*y. Let l(s) = 0 + 13*s + 1 - 5 + 2 - 11*s**2. Let t(o) = 13*i(o) - 6*l(o). Determine h, given that t(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + p**2 - 3*p + 4. Suppose -2*d + 5 = -5*j, -d = -2*j - 2*j - 7. What are the prime factors of f(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169912979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12807 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.32 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 163, 222, 263, 280, 267?\n\"Answer: -a**3 + 78*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 121*d + 12. Let m(q) = -332*q - 35. Let p(o) = -4*m(o) - 11*w(o). Calculate p(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 + 5*c**4 - 17*c**3 - 21*c**2 = 0 for c.\nAnswer: -7, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.8 + 6. Let x = 0.4 - l. Sort 3, -2\/17, x in decreasing order.\nAnswer: 3, x, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) 13\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d**3*q**3 + 35*d**3*q - d**3*y**3 + 3*d**2*q**3*y**2 - 9*q**3*y**2 - 2*q*y**3 wrt d.\nAnswer: -30*q**3 + 210*q - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1019c6 + 127?\nAnswer: -10189f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149.8 + -313.6. Let k = -164 - i. Which is the nearest to 0? (a) 4\/3 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - 3.91. Let o be (-1)\/(-4) + 7\/(-12). Let p = 44 + -39. Which is the closest to 1\/5? (a) p (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -735, -3, 26, 1, -2 in increasing order.\nAnswer: -735, -3, -2, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 102. Which is the closest to -1\/4? (a) n (b) -2\/41 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 57189 = -p - 19183, 4*c = 4*p - 151992. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -580*j + 785*j + 4715 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 smaller than -1971327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 + 4*g**2 + 0*g**2)*(759 + 54 + 367 - 514 + 748).\nAnswer: 15554*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.1 - -8. Let k = 0.01 + -4.01. Which is the closest to i? (a) k (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b - -74?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 33*s**2. Let a(b) be the first derivative of 4*b**3\/3 + 422. What is i(a(c))?\nAnswer: 528*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/4)*j*j)*j**(-2))**38*((j*(j**(-2)*j)\/j)\/j**(-1\/6))\/(j**4*j**(-1)) assuming j is positive.\nAnswer: j**(-439\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 + 73680*g**4 + 271289445*g**3 - 1090096430*g**2 - 13846829700*g + 14665563000 = 0. Calculate g.\nAnswer: -7370, -6, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96465, 96463, 96461, 96459?\nAnswer: 96457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2) + (3 - 1). Let x = n + -1. Let u be (-8)\/132*3\/x. What is the second smallest value in -0.2, 2\/19, u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**6 + 44*r**3\/3 - 57*r**2\/2 + 1879. Find the second derivative of g(b) wrt b.\nAnswer: -120*b**3 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g - 22. Suppose 34*a = 38*a - 88. Let c be i(a). Calculate the highest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 1, -18, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 10*c - 242 + 152, 2*c = -3*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhihgijzhigtzh. What is prob of picking 3 j and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/24*(-3)\/(-8). Let t = -6.8 - 32.2. Let k = 44 + t. Put j, 1, k in increasing order.\nAnswer: j, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-2)\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -8, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1, -309 in decreasing order.\nAnswer: 2, 1, -5, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*v + 251*v = -27042. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 + 0)*(-9*i + 10*i + 15 - 39)*(0 - 1 + 0) to the form x*i + w and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 5*u**3 + u**2)*(3524*u + 3378*u + 1490*u - 17291*u + 3603*u).\nAnswer: 26480*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**3 + 57*d**2 + 9*d - 55. Suppose 77 = 2*y + 2*z - 3*z, 3*y + z - 128 = 0. Calculate the remainder when y is divided by s(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908455782 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 14*h + 70182 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 9. Let d = 12 + -8. What is the remainder when 7 is divided by p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*k**2 + 12*k**3 - 183*k**2 + 370*k**2.\nAnswer: 12*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 908 by -1.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (321\/(-321))\/((44\/56)\/11)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (-6610 - -6503).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - 14\/7 - (4 + 1). Let g be (-4 - -8)\/(-4)*(a - -2). Solve 12 = -g*m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:00 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 38 - (39 + -25)) + -60.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*135\/(-1944))\/((-220)\/(-99))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 15712?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35552 - -3?\nAnswer: 35555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(-1*4*(3 + sqrt(192))*1*2)**2*5.\nAnswer: 184320*sqrt(3) + 771840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1547 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 14*p**2 + 31*p**2 - 1 + p. Let m be 9\/(-4) + (-42)\/24 + 3. Let y be z(m). Calculate the highest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14207321?\nAnswer: 653, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*l - 223 - 67, c - 3*l = 170. Let a be 1 + 21\/(-4)*(-148)\/111. Suppose -a*j + 13*j - c = 0. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -31*d + 3497. Calculate k(113).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 3*j**2 + 3*j**2)*(6*j - 2*j - 3*j) + (-3 + 4 - 3)*(0*j - 3*j**3 + 0*j) - 5*j**3 + 2*j**3 + 42*j**3.\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 26*u - 7. Let n(y) = -13*y + 3. Let h(o) = -92*o + 658. Let q be h(7). What is q*n(w) + 6*g(w)?\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16562607 (base 8) to base 2\nAnswer: 1110101110010110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -87. Calculate the common denominator of ((-4)\/u)\/(32\/220) and 97\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 6*v + 15. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5088.96 millennia?\nAnswer: 61067520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 303\/33 - 4\/22. Find the third derivative of -19*j**5 + 5*j**2 - n*j**2 - 9*j**2 + j**2 wrt j.\nAnswer: -1140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/3*1)\/(-1). Let m(g) = -75372*g - 10*g**2 + 2*g**2 + 75370*g - 1. Give m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26769, -29075, -31381, -33687, -35993?\nAnswer: -38299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -303, -1214, -2731, -4854, -7583?\n\"Answer: -303*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from jfjnjjjnnfxfjjx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62419 is divided by 30641?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -19\/20?\nAnswer: -19\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -765\/1351 + -1\/193. Let r = -0.9 - -0.91. Which is the smallest value? (a) r (b) m (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 140*d**3 + 4*d**2 - 7*d + 4. Let p(r) = 279*r**3 + 7*r**2 - 13*r + 6. Let t(b) = 5*o(b) - 3*p(b). List the prime factors of t(-2).\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 4)*(4*j + 7 - 7) + 7 - 7 - 14*j)*(-2 + 1 + 0) + (11 + 36 - 15)*(j - 2*j - j) as c + z*j and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1.3 (b) 1 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(3 + -4 - 0). Sort -5, x, 0 in decreasing order.\nAnswer: 0, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 3908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 0. Suppose -14 = -o + 7*x - 2*x, -m*o - x + 17 = 0. Suppose 0*q + 3*u = -3*q + o, q - u = -3. Solve i = -q + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 11. Suppose -5*y - m = 25. Let v be (4\/(-4))\/(2\/y). Solve 10 = -r - v*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 1888, 4407, 7934, 12469?\nAnswer: 18012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 32. What are the prime factors of 0 + 22*9\/u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 21*q + 52. Let u be y(-18). Is (u + 4 + -4)\/((-2)\/4907) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 79*t**2 + 13*t - 13. Let r(p) = 20*p**2 + 3*p - 3. Calculate -26*r(q) + 6*s(q).\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68, -67, -66, -65, -64, -63?\n\"Answer: l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*j**3 + 29 - 2*j - 118 + 39 + 34 + 25 as n*j**2 + s*j + b*j**3 + q and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let t be -2 + (0 + 9 - -1). Let q = t + -5. Let u(f) = 3 - q - f + 0. Determine m(u(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((143\/11)\/(-13))\/((-6)\/(36\/2))*11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1498339*s - 749168*s - 749168*s. Let u(j) = 1 - 19*j**2 - 1. What is h(u(n))?\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241747 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:36 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) -48 (c) 2\/375\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*1*-1*-2)\/((sqrt(192) - sqrt(192)*3 - sqrt(192)) + (sqrt(1452) - (sqrt(1452) - sqrt(1452)*-2 - sqrt(1452)) - sqrt(12))).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.661 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2027809, -8111265, -18250359, -32445091, -50695461?\nAnswer: -73001469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193 - 1193 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 31 = 5*h, -5*u + 3*u = -h + 3. Let x = -51 + 55. Suppose -v = -x*v + 357. Calculate the greatest common divisor of h and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/12 and -20\/56649.\nAnswer: 226596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 - 9 = 0. Suppose -5*l = 4*b - 0*b - 24, -3*l = 4*b - 16. Sort z, -2, l.\nAnswer: -2, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 330, 342, 354?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-3 - -1) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2))\/l**(-27)*(l**(1\/2)*l*l)**(-12\/5))**(-16) assuming l is positive.\nAnswer: l**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 17 + 2)*(-3*i + 19*i + 16*i)*(-93 + 93 + 22*i**3) in the form t*i**3 + h*i + s + a*i**4 + n*i**2 and give a.\nAnswer: -30272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70490 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/3 - 208*p**4\/3 - 5194*p**3\/3 + 11236*p**2\/3 = 0.\nAnswer: -53, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -13)*(-5)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 1, u: 1, x: 1, j: 1, a: 2}. What is prob of sequence keu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -338077, -676171, -1014251, -1352317, -1690369, -2028407?\n\"Answer: 7*o**2 - 338115*o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20917\/7 + -2993. Find the common denominator of 7*1\/((-4)\/(-18)) and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v + 8. Let y(g) = -9*g + 15. Suppose 0 = 2*a - 6 + 28. Let b = -36 - -42. Give a*i(d) + b*y(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 10*s**2 + 6*s + 15. Let x be p(10). Suppose -x = -g - 0*g. Suppose -6*c + 11*c = g. Solve -c + 0 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6636243.9 and -2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 97*b + 900. Calculate i(-12).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 25*k + 201. Give j(8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - ((sqrt(125) - (sqrt(125) + -1)) + 5) - (2 + sqrt(15)\/(sqrt(3)*-2 + sqrt(3))))**2 + 1.\nAnswer: -96*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2622, -2638, -2668, -2712, -2770, -2842, -2928?\n\"Answer: -7*n**2 + 5*n - 2620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1590056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 + 4*p**2 + 2*p**3 + p**3 as s*p + z + x*p**3 + m*p**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/222*(3 + (-1605)\/565). Let r = q - 78521\/639693. Calculate the common denominator of -17\/30 and r.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1734100 or -1734102?\nAnswer: -1734100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-135)\/(-21) + (-3)\/7. Suppose k*t = 3*t + 9. Solve -u - t*u - 4 = 0, -4*z = -4*u + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 17*w**2 - 5*w**2 - 5*w**2 - 9*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49.05957 and -110.\nAnswer: 5396.5527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:43 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from qnqwfw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-201)\/134*34\/12)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z + 8*z**2 - z**2 + 0*z**2 - 5*z**2 + 4. Let a be l(-5). Let w be 12*1*(-2)\/a. Let i(g) = -g**2 - 5*g - 5. Calculate i(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxxzrdzdzxxdzx. What is prob of sequence dzd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**4 + 14*o**3 - 11*o**2 + 11*o. Let z(j) = -j**3 + j**2 - j. Suppose 5*u = -214 - 6. Let b(q) = u*z(q) - 4*f(q). Solve b(t) = 0.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 139 + 246a?\nAnswer: 25a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1179 - -1194. Solve 3*y + 0*y + 20 = 4*p, -n = -3*p - 2*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqfffff. What is prob of sequence fff?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Suppose 0 = 2*y + 2*w - 16, -3*y + 28 = 3*w + w. Suppose y*c - 25 = -9. Sort c, s, -2\/3 in descending order.\nAnswer: c, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 4, a: 8, b: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*u - 6 = 1, -5*u = -2*x - 17. Suppose 138 = x*y + 3*v - 1039, 4*v - 586 = -2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2089 by 34.\nAnswer: 2089\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 665. Let p = l + -79. Suppose 0 = 2*d + 2*d - n - 55, 4*d - 2*n = p. Calculate the remainder when 27 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31\/3, -1\/6, 0.7?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)\/r)**9*(r**(2\/3))**(-47))\/(((r**5\/r)\/r)**(-5\/4))**(3\/4) assuming r is positive.\nAnswer: r**(-2665\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzqz when four letters picked without replacement from {q: 2, z: 6, k: 11}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88698401 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 346 + -351. Which is bigger: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*w**2 - 12791*w + 255925.\nAnswer: -10*w - 12791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 9*p - 74627. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365895161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -41724522*k. Let u(w) = w. What is u(l(t))?\nAnswer: -41724522*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - 9*b**2 + 12*b + 29. Let l(q) = 9*q**3 - 19*q**2 + 26*q + 59. Give -6*l(p) + 13*w(p).\nAnswer: -2*p**3 - 3*p**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g**3 - g**2 + 4*g - 5. Let w be (4\/6)\/(14\/105). Let s(o) = 7*o**3 - 2*o + 3. Let h(b) = w*s(b) + 3*x(b). Is h(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 9*r**2 - 2*r - 2. Calculate w(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17227227 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*6\/(-105)*7\/((-105)\/(-25)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -35. Let p(c) = 24*c - 49*c + y + 24*c. Let m be p(-4). Solve -2*r = 3*r + m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -1 - (285\/55 + -5). Put -5, 0.052, b in ascending order.\nAnswer: -5, b, 0.052","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*c**2 - 163*c**2 + 8254*c**4 - 2 + c**3 - 523*c**4 to y + x*c**4 + b*c**2 + f*c + k*c**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 5*c)*(-c - 2*c + 5*c) + (2*c - c + 0*c)*(-83*c - 37*c - 34*c).\nAnswer: -150*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/120 + h**4\/12 + h**3\/36 - 5*h**2\/2 - 10046*h. Factor r(q).\nAnswer: -(q - 5)*(q - 3)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1631717 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 180.1. Let i = 0.47 + 1.43. Let t = i - s. What is the third smallest value in -0.5, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9*s + 622 = 4*s, 4*j + 3*s + 833 = 0. Let u = 333 + j. Are u and 125 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.89341098 rounded to 3 dps?\nAnswer: 8.893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 - 72*g**4 - 1037*g**3 + 8278*g**2 - 13152*g + 5984 = 0. What is g?\nAnswer: -44, -34, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 179071.8 rounded to the nearest 100?\nAnswer: 179100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 970847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 20. Let o be (-11 + q)*(-3)\/2. Suppose 0 = 2*p - o*j + j + 16, -20 = 2*p - 3*j. Let i(h) = -h**3 - 5*h**2 - 3*h - 5. Determine i(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f + 42. Let m be y(-10). Suppose m*u = 10*u + 8240. Let v = 3251 + u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.5, -1, 6, 0.35189?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 4*y**2 - 5*y + 16. Let d be i(-5). Solve 60*z = d*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-20))\/(6\/5). Let v be (-2)\/9 - 1528\/9. Let z = -1193\/7 - v. Which is the nearest to j? (a) -2\/11 (b) 3\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 14291, 3, 77, -4 in increasing order.\nAnswer: -4, 3, 77, 14291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 160?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 4*m**2 + 4*m**2 + (3 - 3 - m)*(4*m - m - m) - 5*m**2 - m**2 + 2*m**2)*((-2 + 4 + 0)*(2 - 5 + 1) - 1 - 3 + 2).\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.2 and 37292?\nAnswer: -604130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/((-44)\/16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + (2 - 5))*145. Let k = u + -26. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6107 - -0.0893. What is the second smallest value in 0.4, -0.4, n, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**3\/11 - 1878872*c**2\/11 - 1878878*c\/11 - 469720\/11.\nAnswer: 2*(c - 234860)*(2*c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 - 1570245*y + 2465669360025\/2.\nAnswer: (y - 1570245)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 8*s - 5. Let v be x(-7). Suppose -w + k + 6 = 1, -5*w = 4*k + v. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -84*x - 11. Let l be w(2). Let p = 203 + l. Calculate the remainder when 164 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-45)*42\/1260*-25.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.82 + 62. Let h = -0.73 + i. Let t = h + 0.45. Which is the fourth smallest value? (a) -1\/5 (b) t (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 121 (b) -0.1 (c) -0.5 (d) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 6*l + 152 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4415 + 2562. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 14580 = -3*j, 3*y - 2*j - 8767 = -4*j. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:14 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 7*y**2\/2 - y - 10. Let x be (-3)\/6 - 6\/4. Let g be (-4)\/(-12) - x\/3. Calculate t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-6)\/8 + 2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 7 (b) 1 (c) 1.52 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j + 574. Let w be t(30). What is the greatest common factor of w and 2048?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*a = 3*r + 20, 3*r - 4*a + 12 = 0. Let x(q) = 32*q + 156. Let n be x(r). Calculate the greatest common divisor of 154 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117\/88 + 995\/616. Which is the third biggest value? (a) -4 (b) 1\/4 (c) 3\/5 (d) -5 (e) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-6\/7))\/z)\/((z**6\/z)\/z*z))\/(z*z\/(z\/z**(-2\/7)))**(2\/9) assuming z is positive.\nAnswer: z**(-271\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g - 10. What is the remainder when x(3) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1798 + 1803. Put 14, c, -3 in ascending order.\nAnswer: -3, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Suppose 0 = 4*l + x, 2*d = 2*l - 0*l + 200. What is the greatest common divisor of d and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 6373279?\nAnswer: 6373276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 - 2*g**4 + 12 - 5*g**3 + 2*g**2 + 2 to m*g**3 + c*g + u*g**4 + x + k*g**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 13*c**2 + 6*c - 33. Let j be y(-15). Let v = j + 1153. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:15 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 1 + sqrt(245) + -4)**2 - (4 + sqrt(245)*-2)**2 - (-4*2*sqrt(245) + 4)**2.\nAnswer: -15703 + 476*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 7:12 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-2)\/9) + 2\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-47055929)\/43852424 - (1 - 55\/56)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 0*h**2 + 0*h**2 + 4*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 365694?\nAnswer: 2\/60949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0*r - 21*r**2 - 2*r + 3*r + 2*r + 20*r**2 - 3. What is i(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/5)\/(3\/(-15)). Let q = -1 - c. Let g be (0 - 0)*(-6 + q). Solve -3*f + 5*z + 13 = g, -5*f + 2 = -z - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let n be (-1)\/3*(1 + y). Let h(w) = -w**3 + 2*w**2 + w. Let s be h(-1). Are n and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -12, 2, 16, 30?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 57.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20865, -83351, -187501, -333321, -520817, -749995?\nAnswer: -1020861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70654.54l?\nAnswer: 70654540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 141062 - 28070 = 0. What is o rounded to the nearest one hundred?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320 (base 4) to base 12\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-122)\/(-4) + -21)*-2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4450 and 70.\nAnswer: 31150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + e672?\nAnswer: e671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 1. Suppose 3*v - 3 = -3*f, -3*v - 1 = 2. Let l(x) = -5*x**f + 5*x + 6 + 0*x**3 - 8*x + x - 2*x**3. Calculate l(k) + 6*p(k).\nAnswer: -2*k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6507586, -6507582, -6507576, -6507568, -6507558?\n\"Answer: a**2 + a - 6507588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 21 = -3*n, -21 = -3*x - 0*n + 3*n. Let v be 3\/x*48\/21. Factor v*c - 4\/7*c**2 + 12\/7.\nAnswer: -4*(c - 3)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*y = 7, 2*y - 11 = -2*p - 3*y. Suppose n - 3*v = -2*n, 28 = p*n + 4*v. Solve n*g - 8 = -c, 2*g - 3*c = -c - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778574?\nAnswer: 2, 3, 7, 17, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.97 - 6. Let p = 2.03 + q. Which is the third smallest value? (a) 0.4 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/3 - 110*i**2\/3 + 29884*i = 0. What is i?\nAnswer: -241, 0, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n + 149*n = -2*n - 26*n - 12768 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (18 + -15 - (-4 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**4 + 2*y**4 + 0*y**4 - 1232 + 615 - y + 615 - 91*y**2 as h + m*y**3 + z*y**2 + l*y**4 + i*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 4 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127 + 1326 - 1007 + 1287 + 249)*(0*i - i**2 + 0*i) to h + f*i + m*i**2 and give m.\nAnswer: -1982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9210100 to the nearest one hundred thousand.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -237 (b) -1\/4 (c) 10 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from aaapaayasyyaapapap.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852291376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69234.996255 - -0.003745. Let x = -69244.8737 + p. Let g = -9.9 - x. What is g rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9889\/23445 + -2\/4689. What is the common denominator of 49\/9 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115 divided by 223?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2118\/6354)\/((-1)\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 305544841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in -1\/4, 1\/3, -0.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5))**(-25)\/((c\/c**30*c)\/c)**(2\/11) assuming c is positive.\nAnswer: c**(1433\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62984497 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(21)\/(sqrt(28)\/sqrt(4)) - (-2 + (sqrt(3) - (sqrt(12))**2) + sqrt(3)*-1*1).\nAnswer: 5*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1148*p + 2 + 1148*p + 9*p**3 - 40*p**2 - 13*p**3 to the form i*p**2 + f + h*p + j*p**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t**6 + 0*t + 1\/2*t**4 + 11\/336*t**8 + 13*t**2 + 0*t**5 + 0*t**3 + 0 + 0*t**7. Find the second derivative of d(q) wrt q.\nAnswer: 220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 4187?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1389469*f + 5557861. Determine y(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 10 + 26. Let r = w - -43. What is the tens digit of 2728\/r - (-4)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5396*w**2 + 5571*w**2 - 16518*w**2 + 5568*w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 2*n - 1. Let q be j(1). Let z be (2\/2)\/(1\/(-5)). Put 1, z, q in ascending order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 5*u**3\/6 - 5*u**2 + 3*u. Let o be (-27)\/(-3) - 2 - (10 - -9). Let n be z(o). Is 1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:44 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5453818528 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 15) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q + 40. Let z be (-5)\/2*q\/5. Is z at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2472 + 2493. Suppose 0 = n + 1 + 2, -27 = -d + 2*n. Calculate the highest common factor of u and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(27\/432)\/((-5)\/(120\/(-1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 + 310. Let j be (7 - p) + (-1 - (-17)\/(-5)). Suppose 29 = -4*y - 7. Is y at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 3*v**3 + (-2*v**2 + 4 - 4)*(0*v - 2*v + v) + 3 - v**3 - 3)*(367*v**2 - 7*v**2 + 313*v**2).\nAnswer: -1346*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {k: 6, h: 3, f: 1, m: 3, o: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 6 = -2*r + r, -5*r = -5*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = -7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, b: 6, i: 2}. Give prob of picking 1 u and 1 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {o: 1, j: 5, r: 1, t: 3, z: 1, c: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 105 + -5035?\nAnswer: -4b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -4*a - 5*g, -5*a - g + 84 = -44. Let q = 28 - a. Suppose -q = -0*p + p. Sort p, 9, 3, -2 in descending order.\nAnswer: 9, 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 108*j + 2*j**2 + 4 + 1 - 101*j. Suppose 0*a + 4*a - 11 = q, -3*q - 20 = a. Let b be (6\/q)\/((-19)\/(-133)). What is s(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 15*h + 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -11. Let w(h) = -6*h**3 - h**2 + 2*h + 3. Let s be w(-2). Let c = s + g. What is the remainder when c is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-4)\/(-1236))\/(24\/((-144)\/(-5)))\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97.7 - -101.7. Which is the nearest to -2\/3? (a) y (b) -4 (c) 192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 16*i + 33 = 13*i, -2 = 2*i. Solve -21 = -n*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12140303 - -13?\nAnswer: -12140240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/6042 and -5\/4?\nAnswer: 12084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 566\/5 - 1363\/15. Calculate the common denominator of z and -137\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -78\/49 (b) -29 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*y - 201 = 579. Solve -35*b = -37*b - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5354*f**2 - 3*f - 16069*f**2 + 5366*f**2 + 4*f + 5373*f**2.\nAnswer: 24*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.338 - -1.389. Which is the nearest to -2\/7? (a) 2\/7 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142088096*y**4 - 148608564.\nAnswer: -568352384*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*8 + (-6 - -6). Let g(y) = -y**3 - 8*y**2 - 9*y + 2. Let l be g(w). Suppose 3*p - l = -11. Solve -1 = -3*a + 4*o, -p = a + 4*a - o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52402, 38, 5, -2 in descending order.\nAnswer: 38, 5, -2, -52402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 78 = 3*d, -104 = -4*d - 11*x + 7*x. Suppose -c = -l + 14, -6 + d = -5*c. Let -5\/3*j**3 + 5*j**2 + l*j - 40\/3 = 0. Calculate j.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i - 12 = 0. Let h = 95 - 96. Which is the closest to 2? (a) 8 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -822401, -822393, -822385, -822377, -822369, -822361?\nAnswer: -822353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79282600 divided by -15856520?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5684992447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*g = 3*z - 394, -2*z + 215 = 5*g. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.371109 - 13.37. Round i to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1408 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18230.\nAnswer: 2, 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/11 - 56*d**3\/11 + 908*d**2\/11 + 1000*d - 11550 = 0 for d.\nAnswer: -35, -15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1067542 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2310*l - 2307*l - 2*y - 28, -2*l = -4*y - 48 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 360 + -354. Factor -31*q**3 - 5*q + 17*q**3 - 10*q**2 + 10 + a*q**3 + 13*q**3.\nAnswer: 5*(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-15)*(-471)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 33*u**2 + 282*u - 65. What is h(40)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-24)*74\/333\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 234869*c*n**3 + 3*c*n**2 + 15*c - 3482*n**2 wrt n.\nAnswer: 1409214*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 3*m - 4. Let w be r(7). Solve h - 3*q + 22 = 2*q, 4*q - w = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13434 (base 5) in base 12?\nAnswer: -793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 11 + 11)*(3 - 10 + 0)*(-18*y + 84 - 84).\nAnswer: -252*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 7:17 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4859 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3)\/(2\/8). Suppose -d*u + 3*m + 16 = 0, 0 = u - 0*m - m - 3. Let a(c) = c - 1. Let w be a(u). Calculate the greatest common divisor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 42550.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17136698 by 734.\nAnswer: 23347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2 + 1. Let x be 2\/a + (-20)\/(-15). What is the second derivative of -3*c - 4*c**5 + x*c + c**5 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436 + 364 = -9*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/6)\/(1\/10). Suppose -3*o = f + o - 38, -s*o = 5. Calculate the highest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by -16263.\nAnswer: -490\/16263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 7. Let n be i(11). Suppose o = 1 + n. Suppose o*u + 2 = 3*u, 4*u = 3*m + 2. Is m at most as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-1342)*9\/(-2))\/((-1758)\/(-2344))?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 2*o**3 - 4*o**2 + 2436*o - 2436*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 246 = -g - z, 0 = -2*z - 10. Let l = g - -996. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*z = -2371 - 1325 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124 + 78. Let j = b - -134. Let s = -2 + 10. What is the greatest common divisor of j and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005051734 rounded to seven decimal places?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 3 - 2 - -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163.884 - -164. Let t = 34.116 - v. What is the biggest value in t, 3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/133218 and 23\/44406.\nAnswer: 133218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61260*p**2 - 265*p - 30661*p**2 - 30629*p**2 to the form c + b*p**2 + s*p and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, y: 2, m: 2, v: 5}. What is prob of picking 2 y?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2839*m*n*o + m*n - 80*m*o*t**3 + 53*n*o*t + 2*n*t**2 - 535*t**3 wrt m?\nAnswer: -2839*n*o + n - 80*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**2 - 2*r - 11. Let n(b) = 8*b**2 - 9. Let x(a) = -7*n(a) + 6*o(a). Let p be x(-4). Solve -5*v + p = -12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.188? (a) -298312 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 10*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71196 greater than 71196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -463.\nAnswer: 23\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let c(i) = -i**2 + 22*i**2 - 14*i**2. What is z(c(n))?\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 196. Let k = p - -190. Let n = k - 91.4. What is n rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*a - 321. Find the third derivative of -33*g**4 + a - 107 + 12*g**2 wrt g.\nAnswer: -792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:35 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401988117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -766.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(152)*-2 + sqrt(152)) - sqrt(152)) + sqrt(152))\/sqrt(8)*-4)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 509 or 198702\/391?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-77)\/35 - -2)*-55. Suppose 0 = 4*u + 15*s - r*s - 1728, -3*u + 3*s = -1284. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/2 in 2, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/25)\/p*p\/(p**(3\/22)*p*p))**(-15) assuming p is positive.\nAnswer: p**(3393\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 6*p + 4*p)*(0 + 1 - 2)*(1 + 1 + 1) + 3*p - 2*p + p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7637 divided by -2\nAnswer: 7637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2\/4 - (-202)\/4. Let u = o + -58. Is u at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.66\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*g = 2*g + 24, -4*j - 2*g + 6 = 0. Suppose r = -2*m + 1, j*m + 37 = 4*r - 0*m. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-1 - 8) + 4 - -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-884)\/(-14)) + 2298\/(-2681)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen ninths of a week?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230231211 - 11021?\nAnswer: -1230302232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*x**5 + 102158*x**4 - x**3 + 2*x**2 + 1012*x - 4 wrt x?\nAnswer: -600*x**2 + 2451792*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -292 (base 12) to base 16.\nAnswer: -18e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 2*q + 40. Let v = 35 - -38. Let o = v - q. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -185542, -371038, -556534?\n\"Answer: -185496*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2248 + 21*w**2 + 8*w + 2231 - 3*w. Let o = -10 + 18. Is y(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26856995677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {b: 6, v: 1, t: 6, j: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14982009103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/6 + -23\/6. Let y = 73 - 75. Put y, -5, h, 4 in descending order.\nAnswer: 4, h, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aa7ecb1 + -7?\nAnswer: -aa7ecb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002221 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9))**8\/(k**(-2\/5))**(-28))**(-29) assuming k is positive.\nAnswer: k**(12296\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:00 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/((-100)\/(-10)) + (1 - -236). What is the common denominator of 23\/10 and (265\/m)\/(3\/12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2496917529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75546?\nAnswer: 2, 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)*n*n**(-5))**9)**(-1\/3) assuming n is positive.\nAnswer: n**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 2*k - 4. Let l be q(-4). Let v = l - -40. Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 17*z**2 + 10*z - 12. Let t be w(8). Suppose 4*i = 3*b - 0*i - 112, 3*i = t*b - 140. Solve -7*c = c + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 16.5. Let j = 34710996.599887 + -34710980. Let p = f + j. Round p to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 724?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -4.9. Let g = d + -4. Let r = 3.82 - 3.72. Which is the closest to 0.1? (a) 4\/7 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**2 + m**2 - 2*m**2 - 6*m**2 - 2*m**2. Let d(t) = t + 22. Give u(d(l)).\nAnswer: -20*l**2 - 880*l - 9680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(sqrt(304) + -2)**2 + -2 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + -2*sqrt(1539))) - sqrt(19))).\nAnswer: -22*sqrt(19) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -53. Let y = p - 58. What is the nearest to 1 in y, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 2. Let r(k) be the third derivative of -6*k**2 + 0 + 0*k + 1\/12*k**4 - 2\/3*k**3. Determine 5*g(j) - 2*r(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + 8. Let k = d - 21. What is the greatest common factor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 6*d**2 - 2*d**2)*(0*d - d + 0*d) + (-d - 3*d + 5*d)*(-3*d**2 - 4*d**2 - 2*d**2).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.04 + 1.34. Let u = -47 - -33. Which is the nearest to u? (a) s (b) 2 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f + 1241*f + 171*f.\nAnswer: 1443*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -775531, -1551037, -2326545, -3102055, -3877567, -4653081?\nAnswer: -5428597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13343115 + -22043115. Round o to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3903 + 207. Let o = -817 + q. Solve -o*n + 4*j = 30, -5*n + 0*j = -2*j + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5233492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -10)\/((-2)\/73). Suppose 5*w - k = 2*b, 3*w - 81 - 180 = 3*b. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-5)\/2*220\/6325)\/(-1)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 459296 greater than 918589\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p - 20*p - 21*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2246c - 6d?\nAnswer: 223ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1523*r = 1525*r + 4216, -3*r + 1026 = y. Suppose -67 = -3*w + 59. Calculate the greatest common divisor of y and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e + 1?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/((-84)\/2)*(0 - -1). What is the second biggest value in -0.23, v, -1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -58. Let i(k) = -k**2 + 8*k + 5. What is the remainder when w is divided by i(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 5\/3, 1052, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/239 (b) -0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-819)\/(-104) - (-2 - -7)) + (-17 - 525\/(-30))?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75600 divided by 126.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 329*a**4\/4 - 131*a**3\/3 + 2*a - 360. Find the third derivative of s(z) wrt z.\nAnswer: 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11605 (base 7) to base 10\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 2*r**2 - 4*r**3 + r - 3*r**2 + 1 - 4*r**3. Let z be p(-1). Suppose -2*f = z*b - 6*f + 8, -4*f = -b - 5. Is -6\/5 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b73 + 146?\nAnswer: -3a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:45 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367427330 a multiple of 2417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iayysiyyiyiiiyiisuii. Give prob of picking 1 i, 1 a, and 1 y.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*i - 120 = -528*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*q = -40*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72290732?\nAnswer: 2, 17, 73, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2696954 - 2696955.949873. Let s = -1.95 - m. Round s to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12807412 to the nearest integer?\nAnswer: 3579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2449709 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3281409g?\nAnswer: 328140900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42702760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8467876, 8467874, 8467872?\n\"Answer: -2*k + 8467878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -172\/5. What is the second smallest value in -0.2, z, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/2)*j**(-6))**(1\/6))**(2\/53) assuming j is positive.\nAnswer: j**(-3\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(-232 - 60*a - 99*a + 161*a + 2*a**2).\nAnswer: -10*a**2 - 10*a + 1160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (-4 + 5 - 3)*(2 - 2 + 2) + 0 - 1 + 0 + (3 - 4 + 0)*(-71 + 138 - 54) - 2 + 6 - 1)*(-5*r - 7*r - 41*r).\nAnswer: 901*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 19966*n + 59877. Calculate s(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 2*u**4\/3 - 5*u**3\/6 - 2*u**2 - 744. Let a(r) = r**3 - 6*r**2 + 2*r - 8. Let w be a(6). Is d(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.8 times 0.5?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 299.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010222012102 (base 3) to base 16.\nAnswer: -21a109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -86*u**2 + 3924*u + 1247. Determine d(46).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -88, -183, -278?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 322896 divided by -4\nAnswer: -80724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 9279 and 9293 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {r: 2, o: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 59*r**2\/3 + 259*r\/2.\nAnswer: r*(r + 7)*(r + 111)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, l: 3, m: 5}. What is prob of picking 2 m and 1 l?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -5*i**3\/3 - 8. Let c(f) = -2*f**3 + f**2 + 16*f + 3. Let v be c(-3). Let m(p) = 18 - v - p - p. Give k(m(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.233 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**4 + 13*u**3 + 49*u**2 - 38*u - 15. Let t(x) = 5*x**3 - x**2 + 2*x + 1. Let g(y) = 2*t(y) + v(y). What is the second derivative of g(m) wrt m?\nAnswer: 12*m**2 + 138*m + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944250261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496785 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyqq when four letters picked without replacement from {d: 1, q: 2, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 4*g, 5*t - g + 44 = -5*g. Let c(l) = l + 7. Let r be c(t). Let y(z) = 16*z**2 + 2*z + 1. What are the prime factors of y(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32226 is divided by 5234?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 6 + u**3 + 4*u - 5*u**2 + 12*u**2. What is the remainder when t(6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wltxwelwwxwwxtewx. Give prob of sequence ellx.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + -6*(-2 + sqrt(363))))**2.\nAnswer: -11880*sqrt(3) + 118512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46907 take away 5127.3232?\nAnswer: -5126.85413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 21 = -7*x, 3*l - 2*x - 25 = -48 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253 + 233. Let t = -39033\/10 + 3899. What is the common denominator of ((-2)\/b)\/(200\/(-12375)) and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1275 divided by -3\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v**3 - 18*v**2 - 102336*v + 12730786.\nAnswer: -12*v**2 - 36*v - 102336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, y: 2, k: 1, q: 3, x: 1, v: 1}. Give prob of picking 1 k and 1 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 333*u**2 - 3*u + 21. Let m be j(0). Solve -141 = -26*c - m*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141076655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 180, 2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 834 - 751. What is the remainder when m is divided by (4 - (-10)\/35)*7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1817172 and 129798.\nAnswer: 1817172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 4*t - 10*t = -17*t + 3, t + 6 = 4*b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j + 1661 + 739. Let s = 372 + j. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, t: 7}. Give prob of picking 3 t and 1 v.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6768 and 141376?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**7\/21 + 4*w**6\/15 - 2*w**5\/5 - 11*w**4\/3 + w**3 + 18*w**2 - 42*w. Determine z, given that j(z) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/3 - 7*j**3\/3 - 17*j**2\/3 - 3*j = 0. Calculate j.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444068?\nAnswer: 2, 19, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1349, -2671, -3947, -5153, -6265, -7259, -8111?\n\"Answer: 4*l**3 - l**2 - 1347*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 56, 175, 394, 743, 1252, 1951, 2870?\n\"Answer: 5*u**3 + 5*u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r. Let t be g(-6). Let u(v) be the second derivative of 0 - 1\/6*v**3 + 1\/2*v**2 + v. What is u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6 - 154\/(-105)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 71274.5 and 5.\nAnswer: 71279.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let s(k) = -5999*k**2. Calculate s(i(w)).\nAnswer: -53991*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 645973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.2445 millimeters in meters?\nAnswer: 0.4922445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6956 and 71\/1598.\nAnswer: 118252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28431439 by 5.\nAnswer: 28431439\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {o: 1, t: 1, s: 1, r: 2, l: 2, q: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 - -196. Find the first derivative of 135*g**3 - 86*g**3 - 4 - n*g**3 wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-88 + 87 + 235)*((2*a + 0*a - 3*a)*(4 + 1 - 4) + 0*a - a + 3*a).\nAnswer: 468*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*((sqrt(209) - (sqrt(209) + sqrt(209)*5))\/sqrt(11) - sqrt(19)).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23351 + -1494503\/64. Calculate the common denominator of 43\/40 and z.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15644 - 15632. Solve -m = 2*a, -4*m + 9*a = s*a + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36180 (base 9) to base 16.\nAnswer: 5e92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xftp when four letters picked without replacement from {p: 1, f: 3, x: 6, t: 8, y: 1}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aa - -89?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -56894, -2\/5, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - 4) + -8 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-495)*11)\/(1\/45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = 0, 0 = 3*o + m - 216 + 39. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(57) - -3*sqrt(57))*6 + sqrt(57))\/sqrt(3))**2.\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -a64384 (base 11) to base 4\nAnswer: -12200003013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.83 + 0.04?\nAnswer: 176.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = 9 - 89. Let j(o) = -7*o**2 - 3*o - 1. Let a(n) = 3 - 1 - 3 - 14*n**2 - 5*n - 1. Determine f*a(v) - 7*j(v).\nAnswer: -7*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13. Suppose 0 = s - k*s + 2. Is 2 a factor of (-16 - s)*(3 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 17\/3, -0.4, -1?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08401 - 0.01599. Sort -1\/4, t, 4, 30, -1 in descending order.\nAnswer: 30, 4, t, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 19) + 47 - 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 15 (c) 1059 (d) 519\/4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*j - 113*j - 24, 48122 = 5*f - 3*j. What is the highest common factor of 58 and f?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001694 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((566\/1698)\/(7\/(-498)))\/((-6)\/(-7))\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344201601 - -344201513.9999745. Let t = 115 + -28. Let a = t + m. Round a to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-5100)*-3*-5.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -52*(-4)\/16 + -8. Suppose 23540 = m*g + 17*g. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -5, 16, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285162*s**3 + 285158*s**3 - 855491*s**3 + 285160*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14223\/50 - -567\/2. Find the common denominator of o and ((-274)\/90 - -3)*82\/(-4).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285604464*-2.\nAnswer: 571208928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10822, -21645, -32468, -43291, -54114?\n\"Answer: -10823*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -4*v + 35*n, 2*n + 807 = 3*v + 722 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3756090*x**2 - 1482519*x?\nAnswer: 7512180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4823 divided by -7\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4.7. Let i = j + 0.3. Let c = -164 + 164.2. Sort 1\/8, i, c.\nAnswer: i, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217.6 bigger than -55320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -129 - -154 - (-1 - -19)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 698482, 3, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - 7782\/(-18). Calculate the greatest common factor of c and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03310031 - 0.0331. Round r to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35963, 35977, 35991, 36005, 36019?\n\"Answer: 14*r + 35949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365 + -363. What is the lowest common multiple of i and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 5, -4, 2, 4, 1, 440 in descending order.\nAnswer: 440, 5, 4, 2, 1, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 4*u - 11*u - 21*l + 61, u - 2*l = 2*l - 12 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-10)\/(-24)*10\/(12000\/(-45))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 757 - 733. What is the third biggest value in u, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4051 is divided by 1345.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 0.2, 0.1, -0.2, 4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 67, 98?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 3.8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 o when three letters picked without replacement from aaaooa?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5500) - 1*sqrt(5500)) + 2*sqrt(55)*2)\/(((sqrt(50)*2)\/sqrt(10) - (sqrt(320) + sqrt(320)*1 - sqrt(320)))*-2).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + 3 + (29 - 0). Solve y = -5*w - 3*x, -5*w + x = -4*x + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1371606 divided by 3.\nAnswer: 457202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let h = -115 + 34. Let r = h + 566\/7. Sort f, r, 4.\nAnswer: r, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/31)\/(y*((y\/y**24)\/y)\/y*y))\/(y*y**17*y**13) assuming y is positive.\nAnswer: y**(-246\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601 + 338 + 126 + 137 + 8*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -22. Are z and 83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(1\/4)\/g)*g)**(4\/35)\/(g**3*g**(1\/3)*g*g*g*g)*((g*g*g**(-2\/9))\/g**(-3))\/(g**1\/g*g)**(-21\/2) assuming g is positive.\nAnswer: g**(5203\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 2, r: 1, p: 2, j: 1, q: 1}. Give prob of sequence lry.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**3\/6 - 11*h**2\/2 + 35*h. What is b(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*q - 32 = 0, -21*z + 20*z - 3*q - 13 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*l - 151*l = 1230. Let b = 855 + l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by -1238\nAnswer: 117\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 142*b - 1583. Let r be c(11). Put 9, 4, r in decreasing order.\nAnswer: 9, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*d**3*s**2*y**2 - 4*d**3*s*y**2 + 10*d**2 - 2*d*s**2 - 86*s**2*y**2 wrt d?\nAnswer: 360*s**2*y**2 - 24*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f + 2*z, -3*z - 18 = -4*f - 2*z. What is the smallest value in -1\/4, -4\/3, f?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375620686*j**2*v + 50*j**2 + 2877216 wrt v?\nAnswer: -375620686*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/252642 and 83\/78.\nAnswer: 252642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5 + 24*l**4 - 196*l**3 + 200474*l**2.\nAnswer: -60*l**2 + 576*l - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1727.8 + 9799.2. Let l = n - 11526.961974. Let u = l + -0.038. Round u to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 - -261. What is the highest common divisor of c and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 5*o + 0*o - 2*o + 3*o - 2*o + (3 - 2 + 1)*(-1 + 1 - o))*(-5*o**3 - 7*o + 7*o) to r*o + b*o**3 + p + y*o**2 + u*o**4 and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1053\/(-2430))\/(234\/(-36))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 493 = -5*v + 7*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 706 (base 12) to base 4\nAnswer: 33312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose 24 = -2*r - a. Let q be (r\/(-15))\/(2\/5). Solve -3*d = -q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 4*t**2 + t + 2. Suppose -4*p + 9 = 2*j - 15, -5*j - 15 = -5*p. Suppose 0 = -4*c - j + 18. List the prime factors of d(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.5332 micrometers in centimeters?\nAnswer: 0.01715332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/2*22890\/5232*(-8)\/(-7).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 356 and 3649.\nAnswer: 14596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(171) + sqrt(171)) + sqrt(171))*3)\/(sqrt(18)\/(sqrt(4)\/sqrt(2) + sqrt(2)) + -5*sqrt(144))*1.\nAnswer: -12*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 402394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsbd when four letters picked without replacement from {d: 1, s: 1, b: 1, t: 2, m: 1, v: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 961, 3739, 8327, 14725, 22933, 32951, 44779?\n\"Answer: 905*j**2 + 63*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((-375)\/10750)*2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 11\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - 3*k - k)*(-4 + 3 + 0) + 121*k + 4 + 96*k - 166*k as b + q*k and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -20 - (-2 + (-2 - -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 28*h + 606\/7.\nAnswer: -2*(h - 101)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -108*z**2 - 6266*z - 112. Determine c(-58).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1107608 and 77\/57041812?\nAnswer: 114083624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 4*s - 4. Let r(x) = 3*x**2 - 7*x - 7. Let q(l) = 7*p(l) - 4*r(l). Let c(f) = 2693*f. Calculate q(c(j)).\nAnswer: 14504498*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by -3.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(-4 - 65\/(-15)). Suppose j*s - 5*s = -4*v + 54, -s = -v + 14. Suppose -v*r = -11*r - 12. Is r smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767 and 1310685?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*o = 4*o + 1151, 2*r + 1141 = o. Let v = -364 - r. Let k = -131 + v. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:27 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-22))\/((-4)\/8) - (2 - (-645)\/(-125))\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -1521?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44\/9 + -5. Let l = -2253 + 2252.8. Which is the nearest to l? (a) 2\/11 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46261 + 68792. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3642 divided by -6614\nAnswer: -1821\/3307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, and 1 m when three letters picked without replacement from {c: 2, n: 1, i: 4, f: 1, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1024 - -1023. Which is the third smallest value? (a) -214 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-25)\/6 + (-9)\/27)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70701?\nAnswer: 3, 23567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.94? (a) 0.1 (b) 5 (c) 0.7 (d) 655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 3*x - 2*x)*(-3*x - 2*x**2 + 3*x) - 11*x**3 - 745 + 747 + 3*x**3 + 0*x**3 + 0*x**3 - x**3 as v + a*x**2 + w*x + b*x**3 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/35 in -3, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3047466 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {i: 6, z: 2, g: 1, a: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - 1) + -14 + -10 + 8 + 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7550 and -0.6?\nAnswer: -4530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - -1) + (-485 - -466) - -16.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 + 6 = 0. Suppose 5*h + 0*h - 300 = 0. Calculate the highest common divisor of j and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 - 6*o + 170. Let n be x(-35). What is n rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -7. Which is the closest to -2\/3? (a) -0.02 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5\/4, -9, 0.081, -2\/35 in ascending order.\nAnswer: -9, -2\/35, 0.081, 1\/2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120158 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767349?\nAnswer: 3, 11, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 26*z + 17. What is j(-9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from kcccccckkcckcc.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2. Let i(d) = 49*d + 9 - 31*d + 59*d + 54*d - 36*d. Calculate c(i(x)).\nAnswer: 27075*x**2 + 5130*x + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(304) + -1 + sqrt(304))**2 + -2.\nAnswer: 48*sqrt(19) + 1223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -268*g - 148. Let s be b(-43). Suppose -s - 176 = -32*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7720, 8372, 9026, 9682, 10340, 11000, 11662?\n\"Answer: f**2 + 649*f + 7070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 16. Let a be u(18). Let w be (a\/6)\/(1\/(-147)). Let j = -35 - w. What is the smallest common multiple of 2 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 + 3066*s**4 - 853776*s**3 + 65803158*s**2 + 1269859923*s + 1203199920 = 0. What is s?\nAnswer: -15, -1, 207, 624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1640*c**5 - 48*c**2 + 6?\nAnswer: 98400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -3, -7, -0.3 in ascending order.\nAnswer: -94, -7, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546844464 is divided by 2205018.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57939388*w**2 - 54617862*w.\nAnswer: 115878776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4434 (base 7) in base 4?\nAnswer: -120321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 h when four letters picked without replacement from iikiiiiih?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18740758.\nAnswer: 2, 617, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 7*t - 110. Calculate m(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1) + (-1 - 2). What is the closest to t in 0, 5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 6. Let s be y(4). Let k = -33 - -35. Does s = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/896 - 19*b**7\/560 + b**6\/160 + 401*b**5\/80 + 2301*b**4\/64 + 1521*b**3\/16 - 1596*b**2. Suppose n(i) = 0. Calculate i.\nAnswer: -3, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*n = 44, 3*n + 149 = 3*q + 2*q. Is -3 + 2 + q + 2 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 3\/4*r**4 + 2 - 2*r + 2\/3*r**3 + r**2. Let d(c) = -10*c**3 - 6*c**2 - 6*c + 7. Give -2*d(x) - 7*s(x).\nAnswer: -x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -0.0553?\nAnswer: 0.9447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from eeeeweeeweeeewe?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 25\/42*p**7 + 57\/4*p**5 - 16\/3*p**6 - 15\/2*p**4 + 0*p**3 + 0*p**2 + 0 + 27*p. Factor t(f).\nAnswer: 5*f**2*(f - 3)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 6:00 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -12 - -20) + -6 + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19012 is divided by 192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, 0.3, -3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -212210211100 (base 3) to base 12\nAnswer: -1a7239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -28, -75, -154, -277?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -7*i**4\/24 + 12*i**3 - i**2 + 29*i - 81. Calculate l(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 589 = 593 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -34. What is the highest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 - 12*q + 18. Let i be 15*(-42)\/189*3\/(-5). Calculate u(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 1871.08?\nAnswer: 1875.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1323*q**3 - 24*q**2 + 24*q - 24. Let m(t) = -265*t**3 + 5*t**2 - 5*t + 5. Determine 24*m(r) + 5*x(r).\nAnswer: 255*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a**2 - 17*a - 12. Let m(o) = -5*o**2 - 9*o - 6. Let s(u) = -4*k(u) + 7*m(u). Suppose 8*c + 39 = 167. Let v be -1 - 117\/(-78)*c\/(-6). What is s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298\/15, -2\/17, 224, 2\/3.\nAnswer: -298\/15, -2\/17, 2\/3, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208 + 632\/3. Factor -q - 2\/3*u**2 + 8\/3*u.\nAnswer: -2*(u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23817 is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4.5 (b) -542 (c) -2 (d) -62 (e) 2\/7 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, h: 1, x: 3, w: 1, o: 4}. Give prob of sequence oxwx.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23149 divided by -5\nAnswer: 23149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67556440531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*w = 1141. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-111)\/63 - (-16)\/12. Which is the nearest to -0.5? (a) f (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 6*g**2 - 7*g + 11. Suppose 2*m + 2 = 0, 28 = 3*h + 176*m - 180*m. Determine n(h).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2769715060 and -0.1?\nAnswer: 2769715059.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 11 + -16 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3292*o - 253505. Calculate m(77).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o**2 + 733*o + 72*o**3 - 6446*o - 2*o**4 + 82*o**3 - 88*o**3 wrt o?\nAnswer: -24*o**2 + 396*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169.48 - 170. Let r = 87.8277 - 87.31. Let v = y + r. What is v rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -16*x + 44 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.6274429 to three dps.\nAnswer: 48.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 4393016.\nAnswer: 21965080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*z = -29, -d - 2*d + z + 47 = 0. Suppose -140 = -t - 148. Calculate the remainder when (-114)\/(-4) + t\/(-16) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555, -556, -557, -558, -559, -560?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(720) + 5*(sqrt(720) + 0) - (sqrt(720) + (sqrt(720) + 1 + -3)**2 + sqrt(720) + (sqrt(720) + 1)**2*-2).\nAnswer: 144*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 18. Let a be 8\/(-3)*9\/v. Is 10\/20 - 282\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.055, 1.\nAnswer: -2, -0.055, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1208 - -1210. Find y, given that 1\/6 - 1\/6*y + 1\/6*y**3 - 1\/6*y**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3049? (a) -5 (b) -2 (c) 1\/8 (d) 2\/3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*k - 48, -5*h + 5*k + 49 + 26 = 0. Calculate the highest common factor of 204 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - 22\/20. Let t = 0.02 + 0.28. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 take away -1000143382?\nAnswer: 1000143749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4658, 4, 3 in increasing order.\nAnswer: -4, 3, 4, 4658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*z - 2 = 0, -k - 6 = -3*k - z. Let g be ((-1)\/(k - 1))\/(2\/(-8)). Solve -1 + 9 = g*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2 = -4*b + 10, 5*k - 4*b - b + 37 = 57 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1749\/17 + (-32)\/(-272) - -2. Suppose k*y = -4*f + 103*y + 386, 3*y = 2*f - 181. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 298971?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29058 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -20.5 (b) -13 (c) -3\/2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21592.\nAnswer: 2, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 7:29 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h + 6*h. Suppose -5*p - h*l = -8830, 4*p + 2*l - 4*l - 7046 = 0. Suppose 6*r - 7034 = 2*r - 2*b, -r + 5*b = -p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273961652 - 250041\nAnswer: -274211693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -131. Suppose 69 - x = 7*m. Let l(j) = -j**3 - j**2 + j - 4. Give l(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8871, 8763, 8551, 8211, 7719, 7051?\nAnswer: 6183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 - 10 = 0. Calculate the remainder when 18 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {s: 7, l: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -1. Let h be 3 + 10\/(-4) - (-81)\/6. Suppose 28 = -14*n - h. Which is the third smallest value? (a) n (b) m (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.1. Let c = -149\/2 - -73. What is the closest to n in c, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 70 - -4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -503, 9, -2, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 460\/3450 - (0 + (-64)\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 15*m**4\/4 + 97*m - 113. What is the derivative of l(w) wrt w?\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*k + 1104, 0 = -2*k + 3*k + 4*n - 547. Let r = k - 3873\/7. Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868021 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -34*n - 8. Solve 0*c - n*c = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 + 1194*a**4 + 1203*a**3 - 2394*a**2 = 0 for a.\nAnswer: -2, 0, 1, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 divided by -2?\nAnswer: -389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 707, 1305, 1893, 2465, 3015?\nAnswer: 3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 47. Let d be z(9). Suppose -3*s + 4 = -s + o, 2*s - 8 = -d*o. Suppose 2*f + s*f = 270. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18954, 179 in increasing order.\nAnswer: -18954, -3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (12 - (-6 - -5) - 12)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18639 (base 10) to base 9.\nAnswer: 27510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10360.0259 rounded to the nearest 10?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -510 - -517. Solve -z + 2*w = u, -5*w + 58 - 18 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*f**2 + 116*f wrt f?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.11. Let g = 65.967 - 66. Let z = g - f. Round z to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 + 191 + 22*d**3 - 376.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*1*(-187)\/(-4). Let j be a\/(-1360) - 2\/16. Which is smaller: 160 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - i + 21 - 9)*(-5 + 35 - 2) to t + q*i and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19930962 or 19930963?\nAnswer: 19930962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3672, 3686, 3720, 3780, 3872, 4002, 4176?\nAnswer: 4400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 15*m - 25. Suppose 0*y + 310 = 2*y - 2*g, -5*y - 5*g + 755 = 0. Calculate the remainder when y is divided by c(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 6503.5.\nAnswer: 6509.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 131*m**2. Let i(p) = 240*p - 10 + 4 - 236*p + 6. Give i(r(z)).\nAnswer: 524*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*c, 26*u = 28*u + 3*c - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Simplify (j\/(j**(-1\/5)\/j*j*j*j))**(-12)\/(j*j**(2\/33)*j*j**5*j) assuming j is positive.\nAnswer: j**(254\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 55 + 26 - 51 = 0. Which is bigger: z or -40?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + -1 + 367 + -365?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/18)\/(3\/(-9)). Let k(z) be the second derivative of -4*z - 1\/9*z**3 + h*z**2 + 0 + 1\/36*z**4. Solve k(l) = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4030 (base 5) to base 11\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**3 + 5*h**2 - 1. Let k = -17 - -11. Let i(s) = 6*s**3 - 4*s**2 + 1. Calculate k*i(w) - 5*j(w).\nAnswer: -w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2634*z + 5. Let q(w) = -22*w + 1. Calculate g(c) - 3*q(c).\nAnswer: -2568*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 4601 + 4594 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = x - 27763, 13*x + 5*q = 6*x + 194373. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 45*u + 1. Let g(y) = 88*y. What is -2*g(z) + 5*o(z)?\nAnswer: 49*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.139 or -0.16?\nAnswer: -1.139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 706 or 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 + d - 2 + 1 - 4*d**2 + d**3. Let z(y) = y**3 + 2*y**2 + y + 2. Suppose -5*s + 4*h + 1 = -1, s = 5*h + 13. Let w be z(s). Calculate b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*p + 2 = -z, 5*p - 15 = 0. Let v(w) = w**3 + 3*w**2 + w + 3. Let q be v(z). Solve 0 = -0*y + y - q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 9*i - 3*i + 4*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 2*n**2 + n**4 + (-2*n - n + 2*n)*(-5*n**3 + n**3 + 2*n**3) + 2*n + 2*n + 4*n**4 - 3*n - 5*n**4 + 4*n**4 - 2*n**4.\nAnswer: 4*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 12, -1\/5, 0, 430, -3 in descending order.\nAnswer: 430, 12, 0.5, 0, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + -2 + ((5*(sqrt(300) - (sqrt(300) + 1*sqrt(300))) + sqrt(300))**2 - sqrt(300)) + 2.\nAnswer: -10*sqrt(3) + 4801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 43*b - 104*b + 47*b - 143 - 44 = 0, 3*o - 54 = 4*b - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 8*b - 14)*(4*b**4 - 2*b**4 + 0*b**4) + 5*b**4 - b**5 - 5*b**4.\nAnswer: -17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 300*c*u**2 - 795*c*u - 28147*u**2 - 6*u wrt c.\nAnswer: 300*u**2 - 795*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18*v - 26. Let a be f(-9). Let n = a - 269\/2. Factor 3\/4*l**5 + 3\/4*l**3 + 0*l + n*l**4 + 0 + 0*l**2.\nAnswer: 3*l**3*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142*6\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 104, 112, 136, 182, 256, 364, 512?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 42. Let m(q) = 7*q**o + 0*q**2 - 4*q**2 - q**2. Let v(u) = -72*u + 72*u - 5*u**2. Determine v(m(i)).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*8\/60*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20*d. Let n(t) = -2*t - 2. What is n(a(x))?\nAnswer: -40*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255989361.\nAnswer: 3, 1109, 76943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 25?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122809260 divided by 11298.\nAnswer: -10870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4854975 millimeters in micrometers?\nAnswer: 485.4975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142786735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4 - 6 - 2) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 4, l: 2, b: 3, n: 1, q: 4}. Give prob of picking 2 q, 1 b, and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 7812 = -7854. What is the second smallest value in g, 469, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69634 and 87616?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4107 and 14208.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27878 + -18204. What is the common denominator of (-8)\/14 + o\/980 and 11\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2461703 and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**6\/30 - 29*p**5\/4 + 37*p**3\/3 + p**2 + 564*p. What is the second derivative of a(l) wrt l?\nAnswer: -12*l**2 - 870*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/(-2 + (-8)\/(24\/(-9))). What is the highest common divisor of 33 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 7*i**4\/12 + 5*i**3\/6 + 3*i**2\/2 + i. Let c be l(-4). What is the highest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 400*h**2 + 67*h + 39. Let o(f) = 201*f**2 + 31*f + 18. Calculate 13*o(u) - 6*z(u).\nAnswer: 213*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4, 21, 8 in descending order.\nAnswer: 21, 8, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoo when three letters picked without replacement from {o: 5, u: 2, p: 1, h: 8}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 + -6 - -11) + -88.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 + 4. Let j(t) = 23306*t**2. Determine w(j(q)).\nAnswer: -2715848180*q**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7 = -2*u + 17, 2*h = u - 17. Suppose -3 = -2*x + u. What is the remainder when 0 + (1 - 0)*9 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 648301212 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000264645065 rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -120 + 151 + -45 + (21 - 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609127877 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72538315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -639 + 648. Solve -6 = p*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q. Let x(u) = u. Let n = 966 - 992. Determine n*x(y) + 6*j(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*s - 4*s + 9*s - 23)*(0*s + 3*s - 5*s)*(4*s - 4*s - 5*s**2) to g + w*s**4 + p*s**3 + c*s**2 + k*s and give p.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 33077?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*i - 3*r - 2, 0 = -i + 5*r + 27. Let h(z) = 3*z**2 - 4 - z**i - 7*z + 4*z**2 - 7*z**2. Let c be h(-6). Solve 0 = -c*w - 1 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m - 50*m + 14652 = 0. Let x = 6691 + m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116240 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 90bc?\nAnswer: 90ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 25318817.\nAnswer: -5063763.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(70)\/sqrt(2) + sqrt(35))\/(sqrt(126)\/sqrt(2))*1)**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154 + 156. Which is the nearest to -1\/2? (a) o (b) 4 (c) 3\/2 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/47 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160162587 * 4.\nAnswer: -640650348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -27*j**3 + 2*j**2 - j - 2. Suppose 2*v = -3*o + 20 - 7, -2*v - o = -3. Calculate the remainder when 75 is divided by f(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/7510 and 3\/82610?\nAnswer: 82610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, u: 2, d: 3, g: 1, m: 1}. What is prob of picking 1 g, 1 i, 1 m, and 1 u?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-349)\/2 + 3\/(-6) + 2. Let h = 480 + k. List the prime factors of h.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5148500*a**4 - 23174977 wrt a.\nAnswer: -20594000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 1133.34\nAnswer: -54400.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 13*x - 12*x - 164, 0 = -x - 5*r + 140. Calculate the least common multiple of 20 and x.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60 + 325?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/24 + 5*z**3\/6 + 32*z**2. Let o be v(-2). Let s = 43\/14 + -18\/7. Which is the nearest to 0? (a) s (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17))**38*(l\/l**3)**(-20) assuming l is positive.\nAnswer: l**(-606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148413279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-2) + (-49250)\/8230 - (0 + -3). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 88*j - 15. Determine b(-30).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 - 34 + 7*t**2)*(-2 + 3 - 4) to the form u*t + q*t**2 + c and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, k: 1, y: 2}. What is prob of picking 2 y, 1 a, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334 + 352 - 1027 + 341 + 292*l**2.\nAnswer: 292*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2. Let l(s) = -296*s**2 - 259*s + 259. Let b(y) = -y**2 - y + 1. Let v(p) = 518*b(p) - 2*l(p). What is w(v(x))?\nAnswer: -10952*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161329.\nAnswer: 7, 19, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 8*y = -8. Let g be (-4 - -7)\/(6\/y). Solve 0 = -3*h - 4*d + 4, -6 = g*d + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 427401 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 greater than or equal to -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Let c be ((-39)\/f)\/((-9)\/24). Solve -5*q = -4*o - c, 5 = -3*o - q - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9956452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 (base 10) in base 5?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 4. Suppose 3*k - 2*k = v. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5. What is the lowest common multiple of o\/2*(3 + 29) and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8700 + -8665. Solve 40*c = v*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240))\/(sqrt(30)\/sqrt(6)*-4)*1.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136583*n**5 + 2011*n + 8.\nAnswer: -2731660*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**13*d*d*d**(-2\/15)*d assuming d is positive.\nAnswer: d**(238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-60))\/((-2)\/3)*(-345)\/253\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 17 - 3 = -2*i, -4*r - 3*i = -18. Let o be (46\/r)\/(10\/30). What is the greatest common factor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -127 (b) 2\/7 (c) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12864906*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9607.569us to minutes.\nAnswer: 0.00016012615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28\/19 - 131\/76. Which is the nearest to -0.1? (a) -2\/5 (b) 1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 1 + n**2 - 1\/6*n**4 - 4\/3*n + 0*n**3. Determine o so that d(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + x - 4*x + 2133, 0 = -3*x + 9. Let o = y + -490. Suppose -4*n = 3*z - o, 5*z + 146 = n + 517. Round z to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2439 + 5104. What are the prime factors of u?\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.91 and -0.24601?\nAnswer: 0.2238691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + (-110)\/30. Is x\/(1 - 7)*178 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000010112121 (base 3) in base 13?\nAnswer: 879700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + v**3 + 2*v + 0*v**3 - 9*v**2 + 6 + 2*v. Let w be a(9). Calculate the greatest common divisor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95632455 is divided by 3379.\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 - 80 + 130)*(-4*u**2 + u**2 + 2*u**2).\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 9*y - 7*y to the form f*y + r and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 239, 380, 537, 704, 875, 1044?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r - 74*r - 210 = 0. Suppose r*t - 160 = -97. Let 9\/2 + 9*j**3 - 15\/2*j - t*j**2 - 3\/2*j**5 - 3\/2*j**4 = 0. What is j?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d + 43*d - 80*d**3.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-6)\/15*-1)\/(176\/(-330)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -153902 = -153903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131859403 - -131859403.398946845. Let v = y + -85.398935545. Let b = v - -85. Round b to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 2.3. Let t = -11 - -8. Let m = -1 + -3. What is the second smallest value in r, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 3) + -23 + 3 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4942*r + 9. Let s(n) = -32404702*n + 59016. Calculate -19672*q(m) + 3*s(m).\nAnswer: 4918*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 5, t: 5, g: 2, l: 3, w: 3}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -35. Let d be 1\/1*39\/y. Suppose 0 = -3*z - 2*t + 278, 2*z = -2*t - d*t + 178. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/4 - 4*u**3\/3 - 3*u**2 + 3*u - 6. Let k be q(5). Let j be ((-20)\/(-6))\/(2\/3). Sort k, 2, j in decreasing order.\nAnswer: j, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 679 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10552 + 5?\nAnswer: -10543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 130.8, 0?\nAnswer: 130.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25768 is divided by 1367?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - -2 - (-2)\/(-2). Let q be 6\/x - 3*(-4)\/30. What is the greatest common divisor of q and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 1\/21, 4 in descending order.\nAnswer: 4, 1, 0.2, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-30) + 822249\/55620)*(2 + -1) + -15.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -22. What is the second smallest value in -0.4, 5, 33, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbm when three letters picked without replacement from ccjjjbmjmmc.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:46 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261239 is divided by 86962?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-77)*(-40)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**3 + 61*w**2 - 43*w - 35. Let g be h(-6). Let i(b) = -b**3 - 7*b**2 - 6*b + 1. Let z be i(-7). Is g less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4498287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*j + 478, 5*j = -2*q + 658 - 176. Let x = 125 + j. What are the prime factors of x?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g - 20. Suppose -l + x + g = 0, 0*x - 8 = -5*l + x. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p - 6. Let n(q) = 20510*q. Determine l(n(c)).\nAnswer: 287140*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*b - 1. Let o be b*((-1880)\/30 + (-1)\/3). Let n be 7*((0 - 3) + 4). Calculate the highest common factor of o and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + 1 + (-30 - 18 - -22).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 + -10030333?\nAnswer: -10030232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:27 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/5 - 2022*l**3\/5 + 203613*l**2 + 4104676*l\/5.\nAnswer: l*(l - 1013)**2*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((3 - 60) + 62 - (-2 + 74))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7)*c**6\/c)**(1\/18)*(c**(-5)\/c**(1\/2))\/((c**(-1)\/c)\/c)**30 assuming c is positive.\nAnswer: c**(10685\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 324552912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-5)*(15 - 10). Suppose -2*p + 2133 = 3*i, -4*p - 2236 = -a*i + 608. 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 5247.299 years in millennia?\nAnswer: 5.247299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1147 from -1420315.\nAnswer: -1421462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -65*l**2. Let x be (9*-2 - (2 - 3))\/(-1). Let r(w) = x*w - 40*w + 13*w + 11*w. Calculate r(s(j)).\nAnswer: -65*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23712197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2 - 260976770*t + 3405443723981645 = 0.\nAnswer: 26097677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l + 16. Let q be n(-1). Sort 3, 1, q, 0 in ascending order.\nAnswer: 0, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -15240707711.\nAnswer: -15240707711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6268.108ml?\nAnswer: 6.268108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 2283*z - 468216.\nAnswer: 3*(z - 168)*(z + 929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/41 in 4, -24, 120, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*n**2 + 1013*n**2 + 6*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - (-5)\/(20\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 164.208168 microseconds?\nAnswer: 0.0000000019005575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 3*s)*(0*s - 3*s + 5*s)*(-6*s + 7*s - 7*s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 3) in base 5?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3250*m - 2014991. Calculate k(620).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2 - 749460*b + 2248407 = 0?\nAnswer: -249823, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134415 is divided by 8905.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*k. Let k*m**2 + 3*m**3 - 4*m + m**2 + 4 - 4*m = 0. Calculate m.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:11 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*g - 16, 3 = -g + 2*g + w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.335588ml to litres.\nAnswer: 0.008335588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6249 + 23087. Let i = w + -16850.9984. Let b = i - -13. Round b to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -133*i**2 + 14*i + 30. Give b(-2).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291824 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2631908930.\nAnswer: 2, 5, 7, 461, 81559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:15 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17230 take away 242.4?\nAnswer: -17472.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65034.\nAnswer: 2, 3, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 942*d**2. Let s(i) = 2481*i. Calculate s(w(k)).\nAnswer: 2337102*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 35.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/11610 and -26\/3?\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 55 + 179 + 38 - 57 - 26*h - 57.\nAnswer: -26*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q + 2*q**2 + q**2 - 4*q**2 + 2*q**2 + q**2 + 0*q + 0*q + (-1 + 7 - 4)*(0*q**2 - 4*q**2 + 5*q**2) + 35*q - 15*q - q**2 - 35*q.\nAnswer: 3*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -635, 62 in decreasing order.\nAnswer: 62, -5, -635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -22. Let r be 4\/2*(-66)\/(-4). Let s = r + -23. Solve 5 = -m*b + s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -3*-3*sqrt(77))\/(2*(sqrt(63) - sqrt(7))).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 - 239 - 5*g**3 + 421.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1880304 and 26\/963?\nAnswer: 603577584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -934504 or -4?\nAnswer: -934504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = 4*f, 7*s + 4 = 6*s + 5*f. Solve -17 = -s*p - 47 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*91\/52*41\/(12915\/(-225))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 107, 410, 911, 1610?\n\"Answer: 99*b**2 + 6*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 57*a + 12. Let g(q) = -4*q**2 - 57*q - 12. Let y(p) = 4*g(p) + 5*v(p). Is 7 a factor of y(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -47?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*m - 3*g, 3*m + 2*m + g = 127. Suppose -4*h + 12 = -4*p, 2*p + h = -3*p + 15. Suppose p*d - 50 = m. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - -12 - (-288)\/(-116). Let b = 253\/377 - h. What is the smallest value in b, 3, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m. Which is the nearest to m? (a) 5 (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943849837?\nAnswer: 7, 67, 769, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1956 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 3 = d, 5*h = d + 15. Let n(w) = -2*w + h*w - 5*w + 4*w - 2. Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c*n*w**2 - 22*c*n*w + 2*c*n + 4*c*w**2 + 1526*c*w + n*w - 4*w wrt n.\nAnswer: 11*c*w**2 - 22*c*w + 2*c + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 3. What is b(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/20 - c**4\/2 + 7*c**3\/6 + 2*c**2 - c. Let p be r(-7). Suppose -22 - 26 = -p*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (3 - (2 - (-13 - (-8 + 6))))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 - 388*s**2 - 1136*s - 752 = 0. Calculate s.\nAnswer: -94, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 4*x + 1. Let p(f) = -f**3 - 7*f**2 - 6*f + 5. Let d be p(-6). Let h be o(d). Let r(j) = -j + h*j - 6*j. Give r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 - -10000?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 229 - 229.219. Let c = 319120.2189783 + -319120. Let r = h + c. Round r to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943574 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*k - 16 = 0, -5*p - 5*k - 36 = -6*p. Suppose -2*h + 3*j = 7*j - p, -3*h + 79 = -5*j. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 151 - l**2 - 10\/3*l**3 + 0*l - 71\/4*l**4. Find the third derivative of p(c) wrt c.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {f: 3, k: 9, c: 4}?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 + 2*f + 2. Let h be d(5). Let u = -168 + 180. Solve -5*c - k + h + 8 = 0, 3*c = k + u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 84, 0.4, -2\/3 in decreasing order.\nAnswer: 84, 0.4, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1251 + -1252. Put 1, -4, d, -3 in decreasing order.\nAnswer: 1, d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2379\/183)\/((12\/30)\/((-7)\/(7\/(-2)))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**2 - 41*k**2 - 151*k + 113*k wrt k?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 2*a + 33. Let s be z(-9). Let k = s + 103. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**6\/72 + 3*q**5\/4 + 135*q**4\/8 + 4*q**3\/3 - 25*q**2. Let g(f) be the first derivative of l(f). Suppose g(c) = 0. What is c?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3683 - 160\/(-144)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 1, x: 5, j: 1, m: 1, q: 3}. Give prob of picking 2 q, 1 j, and 1 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**4 - 136*z**3 + 130*z**2 - 2*z + 6. Let i(t) = -4*t**4 - t**3 - t**2 + t + 1. Let c(x) = 6*i(x) - w(x). Suppose c(y) = 0. What is y?\nAnswer: 0, 1\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 80*p + 2834. What is i(-36)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9953227 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, u: 3}. Give prob of sequence uux.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*i - i - 4*i + 1.\nAnswer: -3*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 8 - -9) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 688*j - 675*j - 1738620. Round j to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166 and 4?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 51*b**2 + 6*b + 5124. Calculate r(-49).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2949, -23516, -79341, -188052, -367277, -634644, -1007781?\n\"Answer: -2938*v**3 - v**2 + 2*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u - 12*u + 2 - 1. Let r = -12518 - -12517. Determine h(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 c when four letters picked without replacement from vvcicvciivvcvvvvcvi?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76072077 at least as big as 76072085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10)*(-10)\/2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 91512?\nAnswer: 183024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 2, t: 2, c: 1, i: 3, e: 4}. Give prob of sequence ciee.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*2 - (8 - 10\/710). Which is the closest to 0.3? (a) x (b) 1 (c) -2\/11 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 499?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, -5\/2, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/3*(-655)\/(-10480))\/(-3*155\/90)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 9) to base 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 27*i + 54. Let l be a(-25). Suppose l*f - 23 = -3*c, 0*c - 2*f + 9 = -c. Calculate the greatest common factor of 11 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hggg when four letters picked without replacement from hgghhhghgg.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h**2 - h**2 + h**2)*(3*h - 3*h - 2*h) + 3*h**3 - 3*h**3 + 3*h**3)*(-4 + 7*h + 7 - 2).\nAnswer: 49*h**4 + 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 726*z - 24. Let b be -2 - (-12)\/10*5. Let f be j(b). Round f to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72 * 1.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -30. Suppose -2*s = -2*s + d*s. Suppose 3*c + 5*p - 204 = s, p + 0*p = -3. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2075773 times -2?\nAnswer: 4151546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -6. Suppose -218*a + 223*a = -10. Let d be (5\/(120\/6))\/(a\/8). Let g(j) = j**2 - j + 1. Let b(z) = -3*z**2 + 3*z - 5. What is d*b(k) + u*g(k)?\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -1019, -3477, -8259, -16139, -27891, -44289?\n\"Answer: -129*p**3 - p**2 - 2*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 2. Let l(w) = -2*w - 3. Suppose 2*h = 6*h - 4*m - 28, 5*m - 31 = -h. Suppose -h = -i - 8. What is i*l(c) - 5*f(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204.1028 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 915 or 896?\nAnswer: 915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 = 127*c - 1066. Solve 9 = 5*m + c*y + 44, 5*y = m - 23 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-5)*737\/134?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 5*q**2 + 3*q + 8. Let s be m(6). Let v be ((-3)\/(-2))\/(s\/(-20)). Suppose 0 = -3*l + v + 51. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*d + 1. Let f(s) = -12*s**3 - 10*s**2 - 10*s - 10. Let p(u) = -u**3 - u**2 - u - 1. Give d*f(y) + 20*p(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 2, p: 4, j: 3, o: 1}. What is prob of picking 2 j and 2 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8239 + 3849 = 8*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 276970560*c - 3835634555335680 = 0. Calculate c.\nAnswer: -27697056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -8, -2 in decreasing order.\nAnswer: 2, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r - 45. Suppose -149 = w - 143. Let j be m(w). What is the second derivative of 6*d + 19*d**3 + 16*d + 10*d**j wrt d?\nAnswer: 174*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-20) - 138\/990 - (18 - 19). Which is the nearest to y? (a) -0.5 (b) -4 (c) 1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 divided by 2796?\nAnswer: -197\/1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 13. Calculate the smallest common multiple of a and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 330*j + 13. Suppose -4*d - 14 = -2. Let u be b(d). Let n = -1442 - u. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i + 2. Let r(o) be the third derivative of -9*o**4\/8 - o**3\/2 + 22*o**2 - o. Let k(w) = 7*q(w) + 5*r(w). What is k(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 2 in descending order.\nAnswer: 9, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1087 + 1093. Calculate the remainder when 227 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.721 * 0.3.\nAnswer: 0.2163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.7 - -34. What is the biggest value in -0.3, m, -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p**2 + 12. Let x(w) be the first derivative of -w - 1\/3*w**3 + 0*w**2 + 3. Determine v(g) + 10*x(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u - 3*u + 0*u + 2 + 4. Let l(s) = 23*s - 49. Let x(h) = 6*l(h) + 51*z(h). What is the first derivative of x(r) wrt r?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-13 - (-16 - -15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14166 (base 8) in base 6?\nAnswer: 44554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2. Let s(f) = -f + 1. Let t(g) = -g**2 - 1. Let y(a) = s(a) - t(a). What is 2*j(k) + y(k)?\nAnswer: -k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 33\/5. Which is the nearest to 0? (a) 8 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**5 + 317472*k**4 - 11193846699*k**3 + 131333210721930*k**2 + 6065572272156300*k - 6196894289349000 = 0?\nAnswer: -47, 1, 35290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:51 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (270\/(-675) - (-4 - (-238)\/5))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 3. Let q be s(0). Suppose q*n + 0*n + 57 = 3*p, -2*p + 32 = 4*n. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/612*(-9)\/2*(-15 - (-344)\/24).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295323 and 17478300?\nAnswer: 6027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - -7)*(-6)\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) - (-11)\/2. Suppose 2*c - x*c + s = -35, -s - 8 = -c. What is the smallest common multiple of c and 48\/60*(-230)\/322*(-21)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9614497 millennia in months?\nAnswer: 11537.3964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*l + 92, -4*b - l = -132 - 66. Calculate the least common multiple of b and 9.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, q: 2, f: 9}. Give prob of picking 1 l, 1 y, and 1 f.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.314033 take away -0.2363?\nAnswer: -0.077733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12*(-9)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*j + j + 10, 5*t - 2*j - 34 = 0. Suppose 22 = 4*y - t. What is the remainder when 60 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/47086 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 61\/42, 5 in descending order.\nAnswer: 5, 61\/42, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33939 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28 + 0.02. Let q = -0.45 + 0.03. Let h = -0.02 - q. Put 3, x, h in decreasing order.\nAnswer: 3, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246737 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3207*o**2 - 9*o + 1. Let v be m(1). Suppose n + v = 2*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -39, -84, -183, -354, -615, -984?\n\"Answer: -3*h**3 + 12*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9203 - 4888. Calculate the remainder when o is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.031 equal to -20\/349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-1 + 3 + sqrt(75) - ((sqrt(75) + -2)*6 - sqrt(75))) + 3 - 3*((sqrt(75) + ((-5 + sqrt(75)*-2)**2 - sqrt(75)) + sqrt(75) - sqrt(75)) + -2).\nAnswer: -951 - 325*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44880 and 3937965.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7250\/30163 or -1?\nAnswer: 7250\/30163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h. Solve h - 1 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 6*n**2 - 19*n - 26. Determine b(-4).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90328 - 62353. Suppose -d = -28*o + 13*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 136*q**2 + 4*q - 4. Let j(b) = -407*b**2 - 11*b + 11. Let d(k) = -4*j(k) - 11*m(k). Let y(f) = -929*f - 922*f + 1850*f. Calculate d(y(v)).\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + -4 - 1256\/(-48) - -1 and 97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 2*q = -2*v - 450, 3*q = -2*v + 180. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24806.54 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/207 - (-10)\/(-115) - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 29. Let m(s) = 3*s**3 + 2*s - 3. Let f be m(1). Let c(j) = -1134 - 2*j**f + 1134. What is y(c(z))?\nAnswer: 4*z**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13591327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/2? (a) 0.2 (b) -4\/5 (c) -6\/25 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2 - sqrt(110))\/sqrt(5) + -5*sqrt(88))\/(-6*1*sqrt(11) + (sqrt(11) - 2*sqrt(11)*2)).\nAnswer: 13*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008061 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2744 and 206808.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m + 3. What is the common denominator of 3\/(-3 + m) - -16 and 2 + 2\/((-14)\/13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -20?\nAnswer: -59\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -161*k - 4. Let g(p) = -81*p - 2. What is 7*g(q) - 4*i(q)?\nAnswer: 77*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 9. Suppose w*c + 2 = 10. Find the first derivative of 1 - c - v**2 - v**2 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 7 = -29*v. Solve 1 + v = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 794748 and 38580?\nAnswer: 3973740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-8)\/(-12))*-50. What is the tens digit of (-2390)\/k + 4\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 13.82. Let c = l - -1.42. Let w = c - 2.6. Is w at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 + 7*o + 1. Let h be q(-7). Let l(u) = 780000*u. Let x be l(h). Suppose -2*r = -5*r - x. What is r rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**2 + 1\/40*b**5 + 9\/4*b**3 + 3\/8*b**4 + 2*b + 0. Let c(n) be the first derivative of q(n). Factor c(m).\nAnswer: 3*(m + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -11*u**3\/6 - 2*u**2 - 21*u. What is the first derivative of p(s) wrt s?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 2*w**2 + w**4)*(1267 + 1406 - 454) to the form r*w + l + g*w**3 + q*w**4 + z*w**2 and give q.\nAnswer: 2219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.36*4\nAnswer: -9.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/728 and -57\/5?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -451 (base 7) to base 9.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 - 156. Is s greater than -43\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 0*n**3 - 2 - n**3 + 15*n**3 - 10*n**3 + 39*n**3 + (-2*n + 0*n + 0*n)*(3*n**2 - n**2 + 0*n**2).\nAnswer: 39*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -24*j. Let b(w) be the second derivative of -w**4\/12 + w. Give b(y(p)).\nAnswer: -576*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1)\/(2\/(-4)). Suppose -4*z + z - 4*w = -35, -g*w + 15 = -z. Solve z*b + 3 = -a - 14, -4 = -2*b - 4*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.055 (c) -3\/5 (d) 18\/55 (e) 0 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91629 + 28221707\/308. Find the common denominator of -67\/1716 and w.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-78)*1\/((-25)\/(-30)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4019273 and 4019273 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -60, 15, 0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(1 - 1 - 4*w) + 3 - w - 3.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 53*l**2 + 53*l + 17. List the prime factors of n(-55).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c - 9. Let h(o) = -108 + 55 + 52 - o. Give -51*h(x) + 6*s(x).\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {z: 7, g: 1, s: 2, p: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 3*a**2 + 2*a - 1. Determine s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356252297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.74 + -0.65. Let d = 618 - 618.1. Which is the nearest to d? (a) i (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2632*z**2 - 5267*z**2 + 177*z + 2636*z**2.\nAnswer: z**2 + 177*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (462\/33)\/(3605\/(-206)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154770 and 116178?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 14. Let y = l - 1. Is 7 a factor of 31 + (y - (-1 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t. Suppose t = 4*y - 12, -4*n - 15 = -3*y - 2*y. Let q = 686 - 3432\/5. Which is the nearest to n? (a) q (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16584 and 124?\nAnswer: 514104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*36\/(-891). Do 0 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3839 by -456.\nAnswer: -3839\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 102 = 132 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -15605*h**2 - 5*h - 8. Let z(c) = -10403*c**2 - 3*c - 5. Let m(n) = -5*l(n) + 8*z(n). Let p be m(-1). What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-8)\/(-1))\/(-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 279.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -17*m + 8. Let r(o) = o**2 + 23*o - 9. Let u(f) = 3*g(f) + 2*r(f). What is u(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, 0.2, -1 in descending order.\nAnswer: 8, 0.2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1233 = 3*q, -12*w + 17*w + 1231 = 3*q. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1423333296 by 2695707.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s + 1 + 138582*s**3 - 9*s - 138570*s**3 - 2*s**2 + 10*s to h*s + n*s**2 + l*s**3 + o and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + 0.1. Let w = 47.116 - 47. Let t = w - d. Round t to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47976*j**3 + 52411 wrt j?\nAnswer: 143928*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29858 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0976 * 0.06\nAnswer: 0.005856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:21 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/14462 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 113. Let s = p - -52. Calculate the least common multiple of 80 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 2674.\nAnswer: -2674.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57358 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1131 plus -21216?\nAnswer: -21216.1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 - 36 - (-2 - 2). Is ((-4614)\/n)\/((-57)\/(-266)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5248, -5249, -5250, -5251, -5252, -5253?\n\"Answer: -f - 5247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 24 + (1 - -39) + -8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m**2 - 361083824*m + 80240848 = 0. Calculate m.\nAnswer: 2\/9, 10030106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/434)\/(-1) + (-324)\/5022?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5079590 and 1075?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5710, 5713, 5716, 5719, 5722, 5725?\nAnswer: 5728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:03 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -212021?\nAnswer: -212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -16. Let u be -9 + 7 + m\/4. Sort u, 0.1, -1\/5 in increasing order.\nAnswer: u, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 70 = -9*p. Suppose y - 5*s + 198 = 0, -3*y - y - 768 = 4*s. Let l = y - -305. Calculate the highest common divisor of p and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*u - 13 + 1 = 0, 3*g + 3*u + 9 = 0. Suppose 5*b - 5 = g, 36 = -3*n - 3*b + 231. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78716649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 821*m - 4 - 404*m.\nAnswer: -1225*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-3)*57)\/((-1)\/(-5)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2301 - -2300. Let o(z) = 3*z**2 - 3. Calculate o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -290 - -1161\/4. Determine c so that -1\/2*c**2 + 1\/2*c**4 + 0*c - b*c**5 + 1\/4*c**3 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 116334 = 3*a, 5*a + 577*f = 574*f + 193890. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 12010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (232\/(-145))\/((-6)\/(-10) + -1). Let d(l) = -l**3 + 2*l**2 + 4*l + 5. Let a be d(n). Put a, 0, -4 in decreasing order.\nAnswer: 0, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981206967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55387704 to the nearest integer?\nAnswer: 7442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -5015*v**4\/2 - 13492*v + 13257. Differentiate d(q) wrt q.\nAnswer: -30090*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*n + 147 = 0, 0 = a - 3*a + 4*n - 46. Let r be (-2)\/(-11) - (-6)\/a. Which is greater: -7\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536, -732, -818, -740, -444, 124, 1018, 2292?\nAnswer: 4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2\/2 - 11*y - 2. Let n be x(12). Let b = n + 2. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14482 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37306 - -63942. Let i = a - 8107. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 559\/4480 + 1\/4480. What is the nearest to -2 in 3, -74, m, 1.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/9 - 16\/(47 + 1). Let f(r) = 3*r**2 + 19*r - 8. Give f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**3 + 140*g**2 - 1100*g + 2500 = 0.\nAnswer: 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 955*m**3 + 2186695*m**2 - 2186699*m**2 + 219 - 21 wrt m.\nAnswer: 5730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 + 84 = 14*d. Suppose 60*k - d*k = 100. Let h(n) = -n**2 - n - 1. Let u(f) = -4*f**2 - 14*f - 10. Let r(b) = -5*h(b) + u(b). Give r(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 507*l**2 + 2839*l + 83668. Give k(501).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7008 is divided by 310?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 24*n**2 + 19*n - 19. Let w be x(-11). Suppose 320 + 310 = 5*h. What is the greatest common divisor of w and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 4*g**4 + 0*g**4)*(4*g - g - g) + (4*g**3 + 2*g**3 + 11*g**3)*(-4*g + 4*g - 3*g)*(6*g - g - 1008 + 895).\nAnswer: -251*g**5 + 5763*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 63 - 95*s - 3*s as g*s + c and give g.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 2. Let w be b(-3). Suppose 6*d + 5 = w*d. Solve 0 = -0*z + d*z - n - 22, 0 = -3*z + n + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 91446083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:32 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w**2 + 24. Let b(v) = -3*v**3 - 2*v**2 + 47. Let y(h) = -2*b(h) + 5*j(h). Is 13 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4*p**3 + 2988985*b**2*p**3 + 29120934*b*p**3 + b*p wrt b.\nAnswer: 24*b**2*p**3 + 5977970*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 5:43 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-671 + 551 + 468)*(-2 + 6*v - 5*v + 2*v) + (-3 - 2 + 6)*(-v + 4*v - 2*v) - 3 + 3 - 2*v.\nAnswer: 1043*v - 696","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is -22555 less than or equal to -22555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2 and 59\/4637326.\nAnswer: 4637326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2434 + 2434. Solve 6*w + p = 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*z - 2*z - 26, 3*n + 2*z + 7 = 0. Solve 6*a + n + 17 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t**2 + t + 9. Let w be s(0). Let l be (59 - -1)\/(w\/6). Suppose -2*f + 4*f = l. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 19. Let k(m) = -2*m. What is f(k(u))?\nAnswer: -4*u + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19662, 1, -12 in decreasing order.\nAnswer: 1, -3, -12, -19662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.7. Let p = -3 - -7. Which is the second smallest value? (a) p (b) -1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/157 (b) 1.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/360 + a**5\/30 + a**4\/6 - 17*a**3\/6 - 5*a. Let d(h) be the second derivative of n(h). Determine b, given that d(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20210 + -312013?\nAnswer: -332223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358*x**3 - 138*x wrt x.\nAnswer: -2148*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-14)*77\/(-660). Let q(x) be the third derivative of 1\/360*x**6 + 0*x**3 - k*x**5 - x**2 - 1\/72*x**4 + 0*x + 1\/210*x**7 + 0. Factor q(j).\nAnswer: j*(j - 1)*(j + 1)*(3*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 + 15*m**2 + 14*m - 15. Let c(h) = 2*h**3 + 5*h**2 + 5*h - 5. Let u(a) = -8*c(a) + 3*k(a). Determine u(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - 2 - (1910 - 1906)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Suppose 3*k = 6, -o*r - 2*k + 20 - 4 = 0. Suppose 217 = c + 3*c + r*t, 0 = -c + 3*t + 58. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58551172 from -17688.462.\nAnswer: -58568860.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 25*a - 23*a - 8 = 0, -3*a = 2*v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 0*x**2 + 6*x - 20 - 1\/3*x**3. Let b(l) = 128*l**2. Determine m(b(j)).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152) + sqrt(152))*3 - (sqrt(152) - -3*sqrt(152)*-2))\/(-1*sqrt(128)*-1*-1).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 8*z**2 - 3*z + 6. Let y(i) = -6*i**3 + 12*i**2 - 4*i + 9. Let j(p) = -8*f(p) + 5*y(p). Let u be j(2). Solve 5 = u*g - 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -p + 676, 69*i + 3*p - 678 = 64*i. Solve -112*o + 115 = -i*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i = -45. Suppose o + i = 2*o. Suppose -4*a - 61 = -29 - 68. Calculate the highest common factor of a and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86993503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 22*u + 72. Suppose 2*d + 3*o = -59, 4*o = -24 + 4. Is p(d) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 0.4. Let z(c) = -c**3 - 6*c**2 - 2*c + 17. Let d be z(-2). What is the third biggest value in 0.08, i, d, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100001011 (base 2) to base 5.\nAnswer: 24203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/(-22*129\/24596).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 164*l**2 + 2*l + 1. Let b be j(-1). Let y = 340 + -280. Let f = b - y. List the prime factors of f.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/71590662 and -47\/2169414.\nAnswer: 71590662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4972129 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/11, -0.1, -0.3, -5\/3, -1\/7 in descending order.\nAnswer: -0.1, -1\/7, -0.3, -9\/11, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((-14)\/(-112)*-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -402 - -416. Sort 0, -3, k, 2\/5 in descending order.\nAnswer: k, 2\/5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let t(s) = -31*s - 3. Determine t(l(z)).\nAnswer: -62*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 58. Put 4, -1, -1\/42, z in descending order.\nAnswer: 4, -1\/42, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87294943 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 4*i**4 + 9*i**2 + 112 - 114 to the form p*i**2 + g*i + d*i**4 + l*i**3 + u and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**3\/3 - 17*x**2 - x - 31. Let l be j(32). Solve 5*z + l = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 636711183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-54)*-8*(-3)\/48.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((1 - -2) + -3 - (1 - (26 + -24))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-12))\/(4\/6). Let m be 2*1 + 9\/(-4). Let u = -469 + 465. Which is the smallest value? (a) o (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12. Let p = 0 - 0. Let o = -2 + 3. Which is the closest to v? (a) o (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 4*f + f. Let m(b) = 37*b**2. What is m(n(x))?\nAnswer: 148*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 121e7cf - 3?\nAnswer: 121e7cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4784*n**2 + 12477*n**2 + 2008*n**2 + 8866*n**2 as d*n**2 + r*n + m and give d.\nAnswer: 18567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvo. What is prob of sequence vov?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11206040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:30 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2\/2 - 4*f - 2. Suppose 3*u = -2*i + 4 - 3, 0 = u + 2*i + 5. Suppose -u*v = -6*v. Determine g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g - 91. Let x be c(9). Solve 15*d - 17*d = -x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100082 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:53 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8406*p**2 - 4*p**3 + 8*p**3 - 7*p**3 + p + 8243*p**2.\nAnswer: -3*p**3 - 163*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -8*f + 3430. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 4. Let j be v(7). Let w = j + 18. Let q = 30 - w. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (63\/12)\/((-10)\/(-8) - 1). Suppose 0 = -3*r + j + 27. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -247 + 125 + 2*w + 2*w**2 + 120 in the form v*w + h + p*w**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 162072 (base 9) in base 7?\nAnswer: 564236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -925, -0.261, -1\/8, 0.2 in ascending order.\nAnswer: -925, -0.261, -1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*h = -153*h - 18384. What are the prime factors of h?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = 42*u + 18*u - 20498. Solve -u = -5*n - 267 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10)*(-15)\/6. Let i(x) = -4*x**2 - 11*x - 3. Let d(n) = -13*n**2 - 34*n - 8. Let j(q) = t*d(q) - 7*i(q). Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u - u - 20 - 7)*(2 - 2 - 2*u**3).\nAnswer: 14*u**4 + 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 14 = -5*f, 4*u - 128 = 4*f - 140 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/6 - -1)\/1. Let p(r) be the third derivative of 21*r**2 + d*r + 1\/24*r**4 - 1\/120*r**5 + 1\/4*r**3 + 0. Find a, given that p(a) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 62. Let r(b) = n*b**2 - 72*b**2 + b**3 - 4*b - 2*b + 5. Determine r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46080 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-2 + -4) - (96 - 127)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 take away -0.02686?\nAnswer: -388.97314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5996.99997341 + 5997. Round l to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/5 - 6*c**4\/5 + 6*c**3\/5 + 4*c**2 - 39*c\/5 + 18\/5 = 0. What is c?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16777*c**3 - 14179 wrt c.\nAnswer: -50331*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 11:30 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.698*0.1\nAnswer: -0.0698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2171 + -2164)\/(1*2\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1469981583 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let x(j) = -3*j**2 + 0*j**2 - 815 + 816. Give d(x(f)).\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 - 2*y + 2*y)*(-86*y - 50 + 50) + (2 + 2*y - 2)*(2 - y**3 - 2).\nAnswer: -518*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 68. Suppose 7*r = 4*r + j. Solve -a = 3*a + r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 2. What is the units digit of l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)**(-40\/7)*k**(2\/11)*k*k*k**(-3\/5))\/(k*k**(-5)\/k*k**(-1\/4))**40 assuming k is positive.\nAnswer: k**(11637\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5647 - 2.26\nAnswer: -1.6953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4 - 24 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyxht. Give prob of sequence oyx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-245)\/(-21) - 50\/5. Let p(j) be the second derivative of 0 + 6*j - m*j**3 + 1\/6*j**4 + 3*j**2 + 1\/10*j**5. What is v in p(v) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyl when three letters picked without replacement from {z: 1, r: 1, s: 1, y: 3, l: 3, n: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 = -135*p + 132*p. Let s = p + -190. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2872, 4826, 6780?\n\"Answer: 1954*u + 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -6, 0.4, -0.052, 0?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*i - 3*p, p + 5 = -2*i + 26. Let d = -24 + 37. What is the greatest common factor of i and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2579980, 20, 5 in descending order.\nAnswer: 2579980, 20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 9. Let x be l(7). Suppose -h + 2*m = -3*h - x, 5*h - m = 13. Solve 4*a - 2 - 9 = -5*j, h*a + 3*j - 7 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -1509885?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6894 (base 14) to base 16.\nAnswer: -46f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -1, 0, -0.4, -0.12, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -32*g + 28*g + 10, -h = -2*g + 8. Suppose -2*r - 3 = 3. What is the nearest to 0 in 17\/2, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 78*r - 1018. Calculate n(14).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) + -1)*4 + sqrt(1331) + -1 + sqrt(1331) + 2)*2 + -2*-3*(sqrt(396) + 1) + -4)**2.\nAnswer: -1344*sqrt(11) + 310480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 91 = -o. Suppose 124 = o*j - 44. Let b = 40 - j. Calculate the greatest common factor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 67 = -43 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-70))\/(14 + 3*1340\/(-300)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l**3 - 16*l**2 - 16*l. Suppose -8*j = 908 - 868. Let w(c) = -7*c**3 - 5*c**2 - 5*c. Determine j*k(h) + 16*w(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 897*a - 894*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 640 = 18*z. Let i = z - 77. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 7) to base 12\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4492)\/(-5) - (-12)\/(-30). Let j = -1806 + t. Let i = -615 - j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34631724644*b**2 - 34631724644*b**2 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -59. Calculate the remainder when j is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(12) + -2).\nAnswer: -6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18460 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14\/7*3*4\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 186 + u**2 - 188 as o*u + x + c*u**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1061*s**2 + 12 + 3*s + 1064*s**2 - 2135*s**2 - 6*s.\nAnswer: -10*s**2 - 3*s + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-2 - 1) + 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443861*n + 443861*n + 22*n**2.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-60)\/9 - -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2 - -11)\/3. Let j = y + 6. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:31 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m - 5408 = 0. Let p = 543 + m. Suppose 5*b + p = 10*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.98 + -0.02. Let m = 2 - q. Let b = -3 + m. Is b at least -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 27 = -7871*c + 7873*c, 4*b = 2*c + 32 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**8\/70 + 37*r**4\/24 + 35*r**3\/3 - 41. Let c(x) be the third derivative of j(x). What is the derivative of c(m) wrt m?\nAnswer: -96*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 20*v = y, v = 2*y - 15. What is the fourth biggest value in v, 4, -5, -0.5, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 4. Suppose 0 = 4*x - 3*i - 24, -i + f = -4*x - 5*i. Find the third derivative of 17*r + 2*r**x - 17*r - r**2 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 8713995?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 8*r - 6. Let u be y(-7). Let i = 0.045 + -2.105. Let z = 0.06 + i. Which is the second smallest value? (a) z (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 1. Let t(p) = -p**3 + p**2 - 4*p - 6. Let h(a) = -a**3 - 12*a**2 - 11*a - 1. Let n be h(-11). Let l(f) = n*t(f) - 5*j(f). Factor l(y).\nAnswer: (y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xby when three letters picked without replacement from wwnxwxxxwxwxyxwxwbnx?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, -4, 970, -3.\nAnswer: -5, -4, -3, 0, 2, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-12)*(-4)\/5 + (9260\/(-770) - -18)\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144023 + -18146771\/126. Find the common denominator of i and -103\/2408.\nAnswer: 21672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -205*b**2 + 2 + 331*b**2 - 4 + 5 as j*b + p*b**2 + f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1529 - -1528.01. What is the nearest to 0.1 in 2, 3, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/((-603)\/(-609) + -1). Suppose f = 22*q - 15*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 3*q + 3. Let z = -25 - -18. Let c = z - -3. Is 15 a factor of f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.4 or -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*j + 4*f - 45, -7 = j - 3*f for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/2 + 12\/(-8). Let i = 4.7 + -4.2. Let w = 11 + -8. What is the third biggest value in i, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -15. What is the smallest value in 0.04, m, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*l - 546 = 61*l + 8*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 8*t + 9. Let c be h(-10). Solve -3*x + 9 = 5*l, -5*l + 5*x - 4 = -c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(284 - 292)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -409*m**5\/10 + 157*m**4\/3 + 3*m + 169. What is the third derivative of y(s) wrt s?\nAnswer: -4908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.27600953 - -16.276. Round l to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8007.053 days to microseconds.\nAnswer: 691809379200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kskksssssskkk. What is prob of picking 3 s?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15043121 (base 6) to base 9\nAnswer: -871054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43017?\nAnswer: 3, 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 3824828833557\nAnswer: -3824828833556.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4282?\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8709*z + 2653*z + 5 - 2169*z - 1576*z. Let m be p(5). What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-736 + 11*j + 731 + 2*j)*(0*j + j + 2*j).\nAnswer: 39*j**2 - 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from blblbblbbbl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 1, -51, 5340.\nAnswer: -51, -1, 1, 2, 5340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(-1 + sqrt(17) + sqrt(17)) + (-1*sqrt(2448) + sqrt(2448))**2).\nAnswer: -24 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*y + 6, -8 = -5*d - 3*y + 20. Let h(n) = 4*n - 2. Let f(p) = -p. Give d*f(m) + h(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15096.82 litres in millilitres?\nAnswer: 15096820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 25. Let s be 10\/5 + (-21)\/h. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 - 14)*(-3)\/42. What is the fourth smallest value in -3.3, -1\/6, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 6*n**2 + 2*n - 7. Let r be z(6). Let c be 4*r*(-3)\/(-15). Let l be (25\/50)\/(1\/c). Solve -l*u = -6*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140040 rounded to the nearest 1000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = o + 2*t, 2*t + 8 - 2 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 5162 - 5162.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 + 2902\/10. What is the units digit of g\/14 - (-8)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4\/3, 2.29, -0.02, 6\/17?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*c**2 + 3*c**2 + 90 - 21*c + 10*c - 4*c**2 + 15*c with respect to c.\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*18\/15)\/(27\/(-360)*4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*w*y - 115954*a*y - 2*a + 2808*w*y + 10251*w - 2*y + 23 wrt w.\nAnswer: -2*a*y + 2808*y + 10251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57578, 57568, 57560, 57554?\nAnswer: 57550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 2*k + 1. Let m be z(-2). Let v = 3 + m. Which is bigger: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 - (-5 + (0 - -4)). Suppose -w = 4*z - 38. Suppose 0 = 3*c + 4*a - 19, 3*a = c + 5*a - z. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -j, 13 = 4*z - 5*j + 3. Let p = 8 - 11. Which is the biggest value? (a) p (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:28 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:33 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-13 + (-8 - -24)) - 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*n**3 - 115*n**2\/2 - 35*n + 25\/2.\nAnswer: -5*(n + 1)*(n + 5)*(4*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -13 (b) 1\/8 (c) -3\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 187?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**5 - 120*k**4 + 540*k**3 + 2370*k**2 + 2625*k + 918 = 0.\nAnswer: -1, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -12 + 6 + (-82 + 90 - (-1 + 15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3569 - -1100. Is n a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*l**2 + 0*l - 4*l + 75*l**2 + 13*l.\nAnswer: 155*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 10.01. Let q = i - -0.41. Let j = -140\/3 - -47. What is the closest to 0.1 in -3, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.081 and -136.\nAnswer: -136.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10764141 > -10764142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -17*n**4\/3 - 10*n**3 + 4*n**2 - 5*n. Find b such that w(b) = 0.\nAnswer: -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from jjmjmxrxrvjjjxxrjx.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(-1083*j**4 + 10970*j**3 - 10970*j**3 + 2*j**2).\nAnswer: -2166*j**5 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/32 + (63\/(-4))\/(-3). Let p(l) be the second derivative of 0*l**4 + 1\/60*l**6 - 1\/20*l**b - 1\/4*l**2 + 0 + 3*l + 1\/6*l**3. Factor p(c).\nAnswer: (c - 1)**3*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/2 - 30*s**4 + 352*s**3 + 2907*s**2 + 11583*s\/2 + 3267 = 0?\nAnswer: -3, -2, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 32*g\/7 + 8.\nAnswer: 2*(g - 14)*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10628280*s**2 + 2881745*s.\nAnswer: -21256560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4158 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -4*r**2 - 14*r - 3. Calculate the least common multiple of t(-4) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.2 - -6. Let p = 50.2 - 50. Sort q, -2\/13, -2, p in decreasing order.\nAnswer: p, -2\/13, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 8)*(-2*q**4 + 4*q**4 + 0*q**4) + 2*q - 5*q**4 + 2*q**4 + 5*q**4.\nAnswer: 12*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -26, -44, -62, -80?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-15) - (185\/25 - 7). What is the nearest to 1.1 in 2, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000085935 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/60 + 53*f**5\/15 - 2809*f**4\/12 + 123*f**2. Factor s(m).\nAnswer: -2*m*(m - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201101102 + 20011?\nAnswer: -12201011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531501?\nAnswer: 3, 177167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012111100 - 211121022?\nAnswer: -20001002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8955091*a**4 + 2*a**2 - 11*a - 84892.\nAnswer: 214922184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2. Let m(t) = 9*t**2 + 1. Let a(i) = 4*m(i) + 7*u(i). Let y be a(0). Let f be (-1)\/2*(-1 - 1). Solve -4*x = s + f, -1 = s + 2*x - y*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14023167?\nAnswer: 3, 67, 69767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 11 = 4*q, -11 = 2*q - 39*m + 42*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 less than -13857?\nAnswer: -14095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8*u - 2)*(0 + 2 + 0).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is dc (base 14) in base 7?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3614855 to the power of 1\/2, to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84016\/20 - ((-426)\/30 - -14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2850 divided by 950.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665*j - 7894 = 5406. Solve 60 = j*o - 30*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159.3 + -145. Let m = -9.3 + r. Are m and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/4*24\/2. Suppose 5*o = 5*s + z, 5*o = 4*s - s + 34. Suppose 505*h - 553*h + 144 = 0. What is the smallest value in -5, h, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93338 is divided by 91877?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, w: 5, c: 2, e: 3}. What is prob of picking 2 y and 1 c?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2470 divide 6076200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -14. Let d = 3173\/900 + -88\/25. Let u = d + -41\/180. What is the biggest value in -1\/8, u, p?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -m + 9, -4*b - 5 = 3*m - 43. Let v = -2 + m. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(11458*i**2 - 1 - 5119*i**2 + 1 + 31672*i**2).\nAnswer: -38011*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 - s**3\/2 + 6*s**2 - 8*s. What is the remainder when q(-6) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g + 1. Let n(v) = -9 + 20 + v**2 + 4 - 15. Calculate n(w(m)).\nAnswer: 225*m**2 + 30*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 - 5*w - 5. Let r be f(-2). What is the lowest common multiple of 1\/(48\/44 - r) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*w**3 - 2 + 223*w**2 - 224*w**2 - w + 2 in the form v*w**2 + m + j*w**3 + u*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -4\/19 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(99)\/sqrt(36) - (sqrt(11) + 1 + (sqrt(22)\/sqrt(2))**2))*5.\nAnswer: -58 - 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j - 75. Let d be 4959\/(-27) + 3\/(-9). Let f be (-42)\/63 + d\/(-6). What is the highest common divisor of j and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 2 = u. Let f = 11 - u. Suppose 10*g = 8*g + 12. What is the highest common divisor of f and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 263, 394?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 721277.1ml in litres?\nAnswer: 721.2771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*j**3*w - 40*j**3 + 30187*j**2*w - j*w + 2 wrt j?\nAnswer: -876*w - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**3 - 11*t**2 + 11*t. Let h(i) = -i**3 - 2*i**2 + 2*i. Let z be ((-8)\/(-2))\/(-2) - 2. Calculate z*v(l) + 22*h(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/881, 0.2, -26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 159\/4*56\/21. Let r(a) = 55*a + 49*a - n*a. Let f(i) = -28*i**2. Calculate f(r(j)).\nAnswer: -112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 81127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 o when three letters picked without replacement from foffoofofooofoofofff.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 140\/28*(1 + 0). Suppose 2 - 7 = 4*u - p*c, 0 = 5*u - 4*c + 4. Suppose u = -d - 132 + 312. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -39*m + 1694. Let d be x(36). Calculate the greatest common factor of d and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 61766377.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.57 + 0.17. Let t = -3.6 + 4. Let x = v + t. Which is bigger: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26445513, -26445510, -26445507?\nAnswer: -26445504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 - 32\/8. Let u(k) = k. Let i be ((-6)\/(-27))\/((-1)\/(-9)). Let l(g) = 1 - g - i - g. What is d*l(j) - u(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86914 - -184737. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**2. Let k(i) = 129*i**2 - 72*i - 18. Let z(x) = 37*x**2 - 20*x - 5. Suppose 22*s = s - 378. Let l(w) = s*z(w) + 5*k(w). Calculate l(r(a)).\nAnswer: -1029*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 120\/25987 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47094, -47097, -47100?\nAnswer: -47103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 30 = -10*n. Let d(q) = 5*q + 8. Let b(a) = 3 - 2 - 4*a - 8. Give n*b(s) + 5*d(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*35\/(-238)*2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-68 - 196 + 22 - 348)*(-3*t + t + 4*t) to the form p*t + a and give p.\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18898*n + 24264 wrt n.\nAnswer: 18898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 7:29 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/16 + 1690\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v. Let k(a) = -a**3 - 4*a**2 - 2*a - 11. Let z(o) = 2*c(o) - k(o). Give z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 996000 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3 - (7 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 349 = 189. Find the second derivative of -k*u**2 + 32*u**2 - 663*u + 616*u wrt u.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2381 - -0.0476\nAnswer: -2380.9524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -38974 + 389*o + 38974. Let v(p) = -2*p. Give s(v(x)).\nAnswer: -778*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*4\/(-30)*9\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.039 - 12.9. Let y = v + 0.861. Let c = 3 + -3.5. What is the nearest to y in c, 8, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37586, 75175, 112774, 150389, 188026, 225691?\nAnswer: 263390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, t: 1, h: 1, o: 1, w: 1}. Give prob of sequence gt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2798, 5194, 7184, 8768, 9946, 10718, 11084?\n\"Answer: -203*i**2 + 3005*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952*-0.0689.\nAnswer: -65.5928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2. Let p(f) be the second derivative of 0 + 0*f**2 + 1\/6*f**4 + 28*f + 0*f**3. Calculate p(h(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706, -579, -560, -649, -846, -1151, -1564?\nAnswer: -2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-2))\/((-560)\/8050*(-15)\/6)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/32 - 4) + 21\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 11*o + 1986 = 0. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/7 - 3971*g**3\/7 - 3940222*g**2\/7 + 3952140*g\/7 + 7888392\/7 = 0. What is g?\nAnswer: -1986, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8962 is divided by 8834?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1 - 9) - (-15 + -5)\/(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*p**3 - 56678*p - 838356349 with respect to p.\nAnswer: 321*p**2 - 56678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*a - 0*a + 17, -2*r = -3*a + 9. Let s be (-3 - -1) + 1 - r. Let f be -4*3\/(-12)*-4. Sort f, 9, s in decreasing order.\nAnswer: 9, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - (-5 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8051, 8130, 8209, 8288, 8367?\nAnswer: 8446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -36. Suppose 206 = 5*w - f*j, 5*j - 77 = -2*w + 12. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 12. Let m be v(-3). Suppose 0*u = 5*u - 190. Suppose u = m*g + 5*f, 2*g + 2*g = 2*f + 94. Solve 5*s - 11 = -2*o + 4*s, -2*o = 3*s - g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 48. Let h = 20 - b. Let f(q) = 11*q**2 - 14*q - 6. Let z(c) = -4*c**2 + 5*c + 2. Let v(k) = -k + 22. Let x be v(5). Calculate h*f(n) + x*z(n).\nAnswer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128 and -17.\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14491 and 1376?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 2. Calculate p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1860 - 990. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2736 and 1238040?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -34, -91, -182?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1764 - 1764 - 2*y**2. Let b(l) = 24*l**2. Calculate j(b(i)).\nAnswer: -1152*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o**2 + 3 + 25*o - 237*o**2 - 39*o + 22*o.\nAnswer: -159*o**2 + 8*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 275*r - 18495. Determine i(-56).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18998 is divided by 18778?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) 10 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5460475?\nAnswer: 5, 218419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:06 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39882620\/406925 + 2\/(-205)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r. Let l(h) = h**2 - 9*h - 2. Let f be l(10). Let j(k) = 14*k - 3*k + f*k. Determine -6*j(v) + 13*q(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-8 - (-5 + 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 1, z: 1, y: 1, o: 1}. Give prob of picking 1 y, 2 o, and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-399) + 134\/(-28) + 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 8*r + 60. Let x be a(-13). Let z = -75.11 - -76. Let c = -0.11 - z. Sort x, c, 0.5.\nAnswer: x, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27201a + 1?\nAnswer: 272020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451952 divided by 54?\nAnswer: -26888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:58 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 130, 214, 286, 346, 394?\n\"Answer: -6*p**2 + 102*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 659 (base 11) to base 8\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 46*w**2 + 0*w**3 + 3\/4*w**4 - 153 + 0*w. What is the second derivative of y(c) wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 3. Let d be i(3). Let l(y) = -3*y - 8. Let z(t) = -4*t - 8. Let r(s) = 3*l(s) - 2*z(s). Let q be r(-5). Sort q, 4, d in decreasing order.\nAnswer: 4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.7993166 rounded to 0 dps?\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/4 + 45*t**3\/4 - 201*t**2 - 9139*t + 38988.\nAnswer: (t - 27)*(t - 4)*(t + 38)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 2. Let n = -892 + 1283. Calculate the remainder when n is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) - (-10)\/(-4). Let v = 2027 + -2026. Put 2, v, 4, i in decreasing order.\nAnswer: 4, 2, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let r be (2 - -1) + -15 + -3. Let b = r + 20. Put v, -2, b in decreasing order.\nAnswer: b, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(224)\/sqrt(7) + 3))**2.\nAnswer: 96*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 7*o**2 + 19*o - 27. Suppose 0 = -25*d + 125 + 75. List the prime factors of x(d).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**3 - 5*x**2 - 5*x + 5. Let l = -15 + 21. Let m(i) be the first derivative of -5*i**4\/2 + 2*i**3 + 3*i**2 - 6*i - 14. Determine l*k(v) + 5*m(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.042 and -17.3199.\nAnswer: -17.3619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, w: 3, z: 3, i: 3, a: 1, d: 5}. What is prob of sequence whaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 33.4. Sort -0.3, v, 0.4, -4\/7 in ascending order.\nAnswer: -4\/7, v, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 2292\/7?\nAnswer: 2292\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -323056461 divided by 135681?\nAnswer: -2381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -540600 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8317118848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 - 5*x**2 + 3*x**2 + 2*x**3 to the form j*x + m*x**3 + d + f*x**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3067.4173 - -3.0173. Round b to the nearest ten.\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15 and -6702131.\nAnswer: -6702116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-2) - (-11 + 14). Let g(w) = -m*w - 2*w + 4*w. Let o = -2 - 0. Give g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5786 divided by 11\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i + 375. What is f(35)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -26. Suppose 5*k - o = -d, -2*k + 12 + 12 = -4*d. Solve 5*v + 0 = -3*q + 2, v = q - k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6346 (base 9) to base 4.\nAnswer: -1020303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 + 122. Suppose 0 = -j*t - 8*t + 75. What is the second biggest value in t, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 48. Determine p(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 195500 = 45*q - 6*q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from {h: 1, l: 3, q: 4, i: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-133)\/(-380) - (0 - 2) and 97\/26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-20))\/((-4)\/(-5)). Suppose -2 = 4*l + 5*x, -2*l + 18 = -6*l + 3*x. What is the nearest to -1\/2 in -1\/9, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4408.9666 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5584 divided by -8?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -6, -0.033?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -5.65. Let d = -0.05 - q. What is the biggest value in 1\/5, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4117 - 1162. Let t = -3570 + m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 418 - 835\/2. Which is the closest to p? (a) 6 (b) 1\/3 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9945.5755 and -3556426.\nAnswer: -3546480.4245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**2 - 1. Let o(z) be the first derivative of z**2\/2 + 2. What is o(y(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 + -2 - 3) + (-1 - -2) + 2422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8661000 to the nearest 100000.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 1, j: 2, e: 1}. Give prob of sequence ej.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*(4*(-300)\/108 - -12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.009 - 2.009. Let p = -0.4 + 0.9. Put v, 0.4, p in increasing order.\nAnswer: v, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 15. List the prime factors of h + (-4)\/(-8)*6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d**3 - 2*d**2 + 1. What is c(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -2145079?\nAnswer: -2145086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.2 from -0.1603.\nAnswer: -6.3603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 41 = -3*b, -b + m - 11 = 3. Let o be (0 - 4) + (3 - 21\/b). Factor o*k**2 + 2\/5*k - 4\/5.\nAnswer: 2*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -12, t - 2*v = -v + 6. Solve 5 = w + n, t*w + n - 10 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -700, -1, 12 in ascending order.\nAnswer: -700, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 16*n - 2*n. Suppose -5*j + 2*l + 51 + 31 = 0, -60 = -4*j - 4*l. Let r be n\/8 - j\/4. Is -1\/5 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 - 3*h - 7. Suppose 2*l = 5*n - 4, -10*n + 5*n = -3*l - 6. Is t(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v + 5. Let u be j(-5). Find the common denominator of 17\/6 and (1 + u)*(-1)\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + 24)*3\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97333?\nAnswer: 131, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72 + 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*f + 65, -5*f - 104 = 3*v - 5*v. What is the greatest common divisor of v and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.028, -127, 87, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u + 80 = -c - 6, -21 = u + 5*c + 103 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (388 - 14336268\/36957)*(-2)\/8?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f + 173*f + 10451 - 2216 = 0 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -181, -388, -651, -964?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/5 + 8*q**3\/5 - 9*q**2\/5 - 18*q\/5.\nAnswer: -q*(q - 6)*(q - 3)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 2*b. Let j(l) be the first derivative of 3*l**2\/2 - 22*l + 7. Let v be j(8). Let w be p(v). Solve w*d - d = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 38*g**2 - 1. Suppose 2 = -4*i - 2. Let j be a(i). Solve n = 4*b - 7, 3*b + b - j = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 17*u. Let l(h) = -2*h**2 - h**2 + 4*h**2 - 3*h**2 - 18*h. Let d(o) = 7*g(o) + 6*l(o). What is the second derivative of d(r) wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2448393097 to the nearest integer?\nAnswer: 49481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -197 + 4?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5\/3 + 196*l**4\/3 - 2300*l**3\/3 - 2500*l**2\/3.\nAnswer: -4*l**2*(l - 25)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(sqrt(108) - 2*(sqrt(108) - (sqrt(108) + 0) - sqrt(108))))**2*4.\nAnswer: 4320*sqrt(3) + 140068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 10*l**3 - 3*l)*(2 + 1 - 2)*(-1 - 2 + 1).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1225 + 8532\/7. What is the common denominator of m and (24\/(-21))\/(12\/154)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = 4*x + 367. Let h = x - -254. Calculate the smallest common multiple of 50 and h.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 54 = -5*u - 45, 2*u + 4*q + 24 = 0. Suppose 0*v + 129 = 5*v - z, 2*v - 2*z - 58 = 0. Let o = v + u. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4377?\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2122011101010?\nAnswer: -2122011100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -529287.\nAnswer: -529287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-34))\/((-23)\/(-46))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -34669*p + 14. Suppose -4*n + u = -20, 0 = -u + 6*u - 20. Let d be t(n). Round d to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3549*w**2 - 24 - 14*w + 3844*w**2 - 3917*w**2 wrt w?\nAnswer: 6952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48373 + -25126. List the prime factors of z.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 28489208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 347 - 2?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 161289325, 161289319, 161289313, 161289307?\n\"Answer: -6*b + 161289331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14578*z. Let v(q) = 51*q**2. Give v(m(t)).\nAnswer: 10838422284*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 700959 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -37 + 8 + -8.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 90a6d - -42?\nAnswer: 90ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-22)*(-6 - (-6 + -1 + -1)). Which is the third smallest value? (a) 0.1 (b) -146 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13767978 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61, -98, -101, -70, -5, 94, 227?\n\"Answer: 17*c**2 - 88*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-12)\/8)\/3*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n - 190. Let h = -191 + 168. What is z(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162268 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 7*u - 12. Suppose -6*l - 4 = 20. Let z be h(l). Solve z*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by (-4 - 63\/(-27)) + (-358)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82415\/7 - (-39)\/91 - (2 - -4)?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 387 + -5033\/13. Which is the nearest to -1? (a) -3\/4 (b) 0.1 (c) q (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 503*t - 936*t + 9093 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*o + 18 - 20, -4*s + 4*o = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 4*d - 5*l + 19, -3*d + 99 = 5*l. Suppose 3*a + d = -12. Let b = a + 34. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*m - 1. Let p = m - -5. What is the greatest common divisor of p and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 19*j**2 + 174*j + 345. Give w(-17).\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:31 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/84*576\/1080*3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 90300612?\nAnswer: -90300607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + -6. Let h = w + -17. Let n = h + 29.06. Round n to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**4 - 60*q**3 + 225*q**2 = 0.\nAnswer: -15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -211? (a) -80 (b) -5 (c) 0.3 (d) -0.1 (e) 0.2 (f) -175\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2 (b) -1 (c) -12 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 4, j: 1, s: 3}. Give prob of sequence hsqh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -133461 (base 8) in base 5?\nAnswer: -3000042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3801 = 43*z - 41019 - 1491. What is the remainder when z is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/4574 and -39\/4180.\nAnswer: 9559660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-286 - (-362 - -49)) + 23 + -1\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 142723 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3933? (a) -11 (b) 2\/63 (c) 0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/4)\/(108\/24). What is the nearest to -7 in w, 1\/4, -0.72?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**2 - 6*y + 6. Let i(c) = 23*c**2 - 12 + 3*c - 20*c + 29. What is 17*a(b) - 6*i(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 2520.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4004185, -8008365, -12012529, -16016671, -20020785, -24024865, -28028905?\nAnswer: -32032899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0, -171, 166\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*o + 15*j + 20 = 393*o, 6 = -o - 2*j for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -4 + (-23)\/(-6) + (-80)\/(-480). Which is greater: -2\/24881 or r?\nAnswer: -2\/24881","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -18\/11 (b) 0.1 (c) 2\/3 (d) 30 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 + 5 = -4*n, 0 = -3*p - 6. Which is the fourth biggest value? (a) 0.052 (b) -0.3 (c) n (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*s + 14 = 0, -5*w - 2*s + 0*s + 83 = 0. Suppose -7*z + 56 = -w*z. Which is the closest to -6? (a) -3 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 8) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000539685647 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2146, 3907, 5280, 6265, 6862, 7071, 6892?\nAnswer: 6325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(0*u + 2*u - 4*u) + 3*u - u - u)*(u - 1 + 1).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/(4\/6). Let n be -2*(w + 36\/(-8)). Suppose -34699905 = n*j + 14800095. Round j to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(68)*-2 - -4*(sqrt(68) + sqrt(68)*4 + sqrt(68)))\/(5*-5*-1*sqrt(4)*-1).\nAnswer: -12*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 4*c - 4*c)*(c - 1 + 1).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 108, 427, 952, 1677, 2596, 3703, 4992?\n\"Answer: -s**3 + 109*s**2 - s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21850055 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**4 - 4*b + 5*b**2 - 5*b**4 + 18*b**4 - 3 - 2*b**2 + 2*b**3 as w*b**4 + k*b + d + q*b**3 + c*b**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4\/5 + 1008*k**3\/5 + 31376*k**2\/5 - 4032*k\/5 - 25088 = 0.\nAnswer: -28, -2, 2, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + 8 - 8 + (-50*v - 37*v**3 + 50*v)*(0 + 0 + v)*(1 + 0 + 1) to a + n*v**2 + k*v**4 + s*v**3 + m*v and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 60 = 5*s, 127448*s - 127443*s = 3*m + 76 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-40))\/((-4)\/(-10)))\/(-20*15\/11400).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-4 - -5) + (8 - 4). Put -5, f, 4, -2 in increasing order.\nAnswer: -5, -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z + 4. Let p be k(2). Let g = 19 + p. Factor 2\/3*i**4 - 2\/3*i + 0 - 2\/3*i**2 + 2\/3*i**g.\nAnswer: 2*i*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w - 2*w + 5*w)*(-2 + 2 + 2) + 0*w - 2*w + 3*w + 13 + 8*w - 13)*(2*w**3 - 4*w**3 + w**3) - w**4 + 0*w**4 + 0*w**4.\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 4*q**2 + 7*q. Let b be d(-5). Let j = b + 16. Solve -4*c + 4 + j = -2*l, -3*l + 5 = 4*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1616, -1600, -1620, -1694, -1840, -2076, -2420, -2890?\nAnswer: -3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 17*o + 2. Give x(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201791*n = -201847*n - 1456 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 85*o - 403. Calculate d(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 121 + 565. Let p = x + -96. Solve 2*h - 4 = -5*q, -h - 9 = -q - p*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 5)\/(28\/(-8) + 4). Suppose 6*k - k = -10. Sort k, -5, m in descending order.\nAnswer: k, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 45920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/840885033 or 0?\nAnswer: 2\/840885033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*v + 118 = 0, 407 + 65 = 4*i + 3*v. Let z = i - 68. Let h be z\/6 + 2\/(-6). What is the nearest to -1 in h, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 124\/10 - (-3)\/5. Suppose d*o - 924 = 20*o. List the prime factors of o.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*v + 726 + 104 = 0, 2*w = 3*v + 332. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 9*s + 51. Let f be n(8). Suppose z + 0*z - f = -4*g, 2*g + 3*z - 29 = 0. What is the derivative of 27 - 5*l - g - 6 wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 3. Let z(x) = 10*x + 2. Give -6*p(k) - z(k).\nAnswer: -4*k - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (-1*sqrt(19) + sqrt(19))*5)**2*3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/312 and -77\/702?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.94 - -8. Let q be 18\/45 - 88\/170. Which is the nearest to 0? (a) q (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16620, -66488, -149600, -265956?\n\"Answer: -16622*k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*a**2 - 2*a - 65*a**2 + 2*a.\nAnswer: -143*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100814 is divided by 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9825 - 1079 = -476*s + 6708 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4 - 9*p**2 - 237*p**3 + 81*p**3 + 157*p**3. Let u(s) = s**3 - 10*s**2 + 5. Calculate 7*q(f) - 6*u(f).\nAnswer: f**3 - 3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 85. Suppose 2*w + t - 582 = -5*v, -v + 97 = 3*w. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 + 126*d**3 + 71*d**2 wrt d?\nAnswer: 120*d**2 + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27226441*p + 19004875 wrt p.\nAnswer: 27226441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*w**2 + 887 - 439 - 438 + 5*w**2 + 40*w**2 to the form x*w + n*w**2 + p and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2980*d + 835*d - 3 + 2 + 1 in the form l + i*d and give i.\nAnswer: -2145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000101010101 (base 2) in base 10?\nAnswer: 24917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3, 7, 3, 0.8 in increasing order.\nAnswer: -3, 0, 0.8, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = 4*n - 16380, -3*n - 8 + 17 = 0. What is the smallest common multiple of u and 372?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27137556 and -139.\nAnswer: -27137695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j = h + 10*j + 15*j + 14, 2*j - 7*j - 435 = 90*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1308866 - 2?\nAnswer: 1308864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -775879.6 and -18.4.\nAnswer: -775898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -36506 greater than -32720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*f - 0*f + 21, -4*d + 24 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1654 + -566163?\nAnswer: -601150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -15, 0.3, -7\/5, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22926922 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84463245 by -408035.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 2*n**2 - n**2)*(-5 + 12 - 9).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 85 = 10*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {s: 3, p: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72716927 and 4295.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11 = 3*q, 25*q - 27*q + y = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59853 (base 12) to base 16.\nAnswer: 1d67f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35330.\nAnswer: 2, 5, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -58 + 0*h**2 - 7*h + h**2 + 74. Let w be t(7). Suppose -8 = -3*n + 2*n. Calculate the highest common factor of n and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 25*c**2 - 13*c - 10. Let v be w(-11). Suppose -3*u + v = 2*a - 0*a, 0 = 3*a + 5*u - 4737. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.73 in -1, 45, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(sqrt(171))**2 - sqrt(19) - (sqrt(76)\/sqrt(4) + -1)**2) + (sqrt(114) - (-4*sqrt(114)*-1 - sqrt(114)))\/sqrt(6).\nAnswer: -sqrt(19) + 1003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -127075.95798.\nAnswer: -127075.85798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221062043.\nAnswer: 221062043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 165653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**12*v)**(2\/17)\/(v**(-20\/9))**(10\/7))**17 assuming v is positive.\nAnswer: v**(5290\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/60 - i**4\/4 + i**3\/6 + 8*i**2 - 24. Let w(q) be the second derivative of x(q). Suppose v - 4 - 2 = 0. Give w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1333*q - 10*q - 375*q)*(1 + 1 - 3) in the form i*q + n and give i.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 195783191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 197477*w - 3949541. Calculate f(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/(42\/294)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + g**2 + 0*g + (2 - 2 + 5)*(3*g**2 + 2*g**2 - 6*g**2) + (-g - 1 + 1)*(-2*g - 2 + 2) in the form c*g**2 + f*g + b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w - 4. Let q be u(3). Let v(o) = 7*o - 19. Let c be v(0). Let r = q + c. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76786 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84076, -336173, -756290, -1344427, -2100584, -3024761, -4116958?\n\"Answer: -84010*v**2 - 67*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -52, -113, -198, -307, -440?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795288 is divided by 367?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*j = -0*j + 265, -190 = 3*c - 5*j. Is c < -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1170566, -2341136, -3511708, -4682282, -5852858, -7023436?\nAnswer: -8194016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-0.4221.\nAnswer: -0.37989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvp when three letters picked without replacement from vtdpdqtppttq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*u, -5 = 2*q - 1. Suppose 8 = -u*j - 5*i, 0*j - 5*j = -5*i - 40. Solve 2*t = -5*w - 15, 2*w - 15 = j*t - 3*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*b - 2*b - 7, -p - 5*b = -29. Suppose 4*k = p*m - 2840, -4*m = k - 9*m + 690. Let x = 332 - k. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*-1*((-9)\/(-3) - 4). Suppose 0 = -7*l + 11*l - 12. Suppose -32 = -c*b + l*b. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 5 = -55. Let c(s) = -3*s**3 + 11*s - 3. Let m(j) = -j**3 + 4*j - 1. Give q*c(v) + 17*m(v).\nAnswer: v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735178 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*y**4 + 865892*y**3 - 2*y**2 + 5*y + 533676 wrt y?\nAnswer: -120*y + 5195352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q - 16 = 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 7 = -2*m - 3*m, 0 = 4*f - 4*m - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g. Let p(x) = 2*x**3 - 5*x**2 + 5*x. Let j be -7 + 2 + -1*(2 + -4). What is j*p(r) - 15*t(r)?\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 20*c**2 + c - 21*c**2 + 2 - c**3 to u*c**2 + w + k*c + z*c**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3*p - 336, -3*p = -517*q + 521*q - 525. Suppose 3*u - 3 = n - 2*n, 0 = 2*n - 5*u - 50. Calculate the smallest common multiple of n and q.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8*x = -3*x - 2390, -4*x - 980 = -2*j. Which is bigger: 483 or j?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038523 is divided by 794.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 199. Let n = t + -167. Calculate the remainder when 21 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 3*s - 21, 0 = -t + 75*s - 78*s - 3 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7439000 rounded to the nearest one hundred thousand?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 201. Let d(h) = -5*h + 172. Let v(y) = 6*a(y) + 7*d(y). Let t(p) = -12*p**2 + 2*p. Calculate t(v(b)).\nAnswer: -12*b**2 + 50*b - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Suppose -v*z + z = -5. Suppose -2*o + 15 = o. Calculate the highest common factor of z and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = -0*h - 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 1001?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 35 - 5. Let l be 4\/v*(1125\/10)\/(-9). Solve -4*k = k - 2*s + 15, 0 = -l*k - 3*s - 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.8, -3, -11, -0.0372, -2.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2849 (b) -0.07 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 4\/45, 0.1227, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:10 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29376 + -20929. Calculate the remainder when s is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (17 - (-210)\/(-56) - 4).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1994184 and -8?\nAnswer: -15953472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 103. Let j(g) = -1 + 5 + 6*g - 2*g - v*g. Give j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53633079 by -1173.\nAnswer: 45723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -8. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84525 divided by 583\nAnswer: -84525\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1663404577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -3)*(-2)\/(-3). Solve w*i = 4*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15622*s - 55. Let b(a) = 26*a. Determine b(h(q)).\nAnswer: -406172*q - 1430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 < 1019681190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(147)*1 + sqrt(147))**2 + -3 + 2.\nAnswer: 3527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + k**2 + 1. Let f(x) = x**3 + 2*x**2 - 25*x + 2. Calculate f(y) - 2*t(y).\nAnswer: -3*y**3 - 25*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 110434459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-1 + -2)**2 + (2*-1*sqrt(112))**2)*-1 + -3 + 0.\nAnswer: -567 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u**2 + 0*u**3 + 4*u - 1 - 1\/6*u**4. Let v(l) be the first derivative of x(l). Let y(h) = -2*h**2. What is y(v(c))?\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 24203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcmmxff. Give prob of picking 1 c and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (847 - 324 + 682)*(r**2 + r**3 - r**2 + (r**2 - r**2 - 2*r**2)*(2*r - r + 0*r)).\nAnswer: -1205*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(16\/(-72))\/((-6)\/45). Solve -3*d - 5 - 65 + 43*d + b*d**2 - 65*d = 0 for d.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66 from 11.66047783.\nAnswer: 77.66047783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 736915*a**5 + 13464*a + 71 wrt a.\nAnswer: 14738300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110022110 + 2?\nAnswer: 110022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 21*g**2 - 253. Give t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4605 - -1607. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-14) - 1) + 4\/14. Which is smaller: 0.021 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8430 or -8456?\nAnswer: -8430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let m(u) = -u**2 - 4. Let g = -49 - -49. Let v be m(g). Sort a, v, 2 in descending order.\nAnswer: 2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-33)\/44)\/((-2)\/8))\/(10\/(-20)). Let m(f) = -f**2 - 12*f + 6. Calculate m(p).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -539 - -557. Solve -11 + x = -7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*g**2 + 305*g**2 + 300*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3. Let k = 3.3 + -2.9. Which is the nearest to p? (a) 2\/7 (b) k (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -342? (a) 0.4 (b) 3 (c) -4 (d) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/5)*h**(2\/11))**(10\/9)\/((h**(3\/5))**(-1\/21))**(-25) assuming h is positive.\nAnswer: h**(107\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3761 = -15*x + 14*x, -x + 1879 = 2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -874, -1325, -1778, -2233, -2690?\nAnswer: -3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + 17*i + 40. Determine j(8).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -90.129 and 46113277.\nAnswer: 46113186.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00079587825 to five dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 2. Let v(r) = -r + 1. Let z be 6 - 20\/(-1 + 5). Calculate z*w(l) - v(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6884 and 18655640.\nAnswer: 18655640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16981787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/5 - -2) + -2 + 3. Let s be 1516146\/2160 + f\/16. Let q = 702 - s. Which is the nearest to 2\/5? (a) q (b) 0.2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 3 - 21 - -1 - -42\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 8*n**2 - n + 1. Let d be v(8). Let h = d - -6. List the prime factors of (4 - 1) + h + 10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Let f(s) = s**2 + 10*s + 2. Let v be f(-10). Calculate the greatest common factor of v and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -10. Suppose 28 = 2*w + b, g*w - 5*b + 21 = 106. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10929122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.2 (c) 10 (d) -2\/3 (e) -31.837\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joooonqqonzjz. Give prob of sequence qonj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2120 and 40.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n + 9. Let p be a(8). Let b = p - 3. Let s(w) = w**3 - 16*w**2 + 16*w - 12. Calculate the remainder when b is divided by s(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.064 (c) -0.03 (d) -3\/5 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1232*t + 71484. Determine f(-53).\nAnswer: 6188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8808 divided by -3?\nAnswer: 2936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37231 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4.3. What is the nearest to 0 in -2, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - -61. Suppose 0 = -5*f + 116 + j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 6, 3 in descending order.\nAnswer: 6, 3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 24 = -0*n. What is the least common multiple of 12\/(-9)*(-54)\/12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 26297026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**4\/12 + n**3 + 4*n**2 + 3. Let m(y) = 0*y - 3*y + 0*y + 4 + 2*y. What is -5*i(v) + 8*m(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h + 2 = 0. Let r be (-1)\/((-1)\/(3 + h)). Suppose 2*u - 3*t + 29 = 2*t, -r*t = -2*u - 14. Is -2 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22980 - 16?\nAnswer: 22965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -739684805 bigger than -739684805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -20*m**2 + 332*m + 136. Let j(i) = 10*i**2 - 166*i - 68. Let s(c) = 6*a(c) + 14*j(c). Factor s(o).\nAnswer: 4*(o - 17)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -5. What is the common denominator of 1307\/110 - l\/(-44) and -16\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a century in months?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 79. Suppose 0 = 4*w - 10 + x. Let b be 38\/w + (-4)\/(-28)*0. Calculate the highest common divisor of 76 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/18 and -57\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*v + 2*v + 72 = 0, -3*v = 9. Suppose -5*w + f*w = -14760. Calculate the remainder when w\/(-10) - (-4)\/10 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*m - 1)*(816*m**2 - 374*m**2 - 156*m**2) + (2*m**2 - 2*m**2 - 2*m**2)*(4*m - 2*m + 5*m).\nAnswer: 558*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = -5*r + 26, 2*r + 12*w + 125*w + 1644 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 857, -1 in decreasing order.\nAnswer: 857, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 3*u**2 + 3. Let g be a(-3). Put g, -2, 0 in decreasing order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 853*s + 486. Let y(w) = 170*w + 97. Let k(b) = 2*i(b) - 11*y(b). Find the first derivative of k(o) wrt o.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x + 6830 - 6830.\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, 5, 31, -1 in descending order.\nAnswer: 31, 27, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {f: 5, u: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 136*t. Let d(n) = -112323 + 224652 - 112329 - 30*n. Give d(r(c)).\nAnswer: -4080*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2 = -2*r, -5*r = 3*c + 8 + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*t = 4*t + 9, 0 = t + 3. Let h(z) = -z**3 - 5*z**2 + 14*z + 2. Let x be h(u). What is the units digit of 51\/x*-5*(5 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 14 - 32 = 0, 2*b = 2*t - 4216. Which is smaller: 2103 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:52 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -3.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8375 divide 488996882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/3, -2\/9, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(21)\/sqrt(3) + 4 - sqrt(28)*-1) + sqrt(1008)*-2*-5)**2*-5.\nAnswer: -529520 + 1230*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -216579*z + 216860*z - 281 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/7 + 1389*f**2\/7 + 61398*f\/7 + 223560\/7.\nAnswer: 3*(f + 4)*(f + 45)*(f + 414)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 15428.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 6\/18 - (-177)\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -88955964047.29 and -0.43.\nAnswer: -88955964047.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:27 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010111111 (base 2) in base 14?\nAnswer: -1a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2083385, -2083400, -2083431, -2083484, -2083565, -2083680, -2083835, -2084036?\nAnswer: -2084289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3 - 10*q**2 - 4*q + 1. Let w(g) = -g**3 + g. Let z(x) = h(x) + 5*w(x). Let v be z(-10). Let m = v - -20. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**7*k*k*k*k\/k**(3\/2))\/((k*k**3)\/(k\/k**7))*k**2*k**(-8\/3)*k**(-2\/19)*k*k*k\/(k\/((k\/k**(-1\/11)*k)\/k))*k assuming k is positive.\nAnswer: k**(-12767\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -7*m + 2*m. Suppose m = z + 20. What is the greatest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525504276 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 + t - 5. Determine u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -685 + 687. Is -276 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 2*a + 5*a**2 - 6*a + a**2 - 4. Let p be k(-7). What is the first derivative of 0*u**3 + 2*u**p + 3 - 1 wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -653.73 + 653.5. Suppose 2*s - 4*o = 6*s - 12, s = -4*o + 12. Which is the closest to -2\/7? (a) y (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62205639.\nAnswer: 3, 19, 23, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11138960 divided by 6.\nAnswer: -5569480\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 57*v**2 + 66*v - 66. Is x(28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29318 - 29318. Let w = 4 - -1. Which is the nearest to g? (a) -0.06 (b) -2\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:41 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 - 366*d\/7 - 4815\/7.\nAnswer: -3*(d + 15)*(d + 107)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8*p - 6*p + 22*p - 7*p - 15*p.\nAnswer: -14*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106, -33, -264, -587, -1002, -1509, -2108?\n\"Answer: -46*k**2 - k + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and -3206.\nAnswer: -3205.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**3 - 14*c**2 + 6*c - 10. Let v(m) = -m**3 + m**2 + m + 1. Let b(n) = 2*h(n) + 20*v(n). Factor b(r).\nAnswer: -4*r*(r - 2)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - q**2\/2 - 2*q. Give c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + 10.460373353?\nAnswer: 9.760373353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 473831337 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 3. Let l be (-4)\/(-6)*8\/((-48)\/(-27)). Let a be -11 + 100\/12 + (-1)\/l. Sort o, a, -12.\nAnswer: -12, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*h**5*k*z**2 + 2*h**3*k*z**2 + 2*h*z + 13*k*z**2 - 5*k wrt h.\nAnswer: 740*h**3*k*z**2 + 12*h*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1988, -4\/13, 1 in ascending order.\nAnswer: -1988, -4\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 33*z + 90 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136461706?\nAnswer: 2, 101, 675553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 288\/32 + -8 + (3 - 2). Suppose 3*s = -8 + 26. Let c(l) = l**2 - 6*l + 3. Let j be c(s). Solve -2 = d*p - j*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(117))**2 + 1.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.594 rounded to one dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 1038, 2405, 4314, 6765?\nAnswer: 9758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q - 14. Let c be x(2). Let w(s) be the first derivative of c*s**3 + s - 1\/5*s**5 + s**2 - 1\/2*s**4 - 1. Factor w(h).\nAnswer: -(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -41*c + 41. Let l be y(5). Let v = 176 + l. Is 11 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 82*t - 270. Let w(n) = -2*n**2 + 33*n - 33. Let r be w(15). List the prime factors of f(r).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:04 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10995766, -10995768, -10995770, -10995772?\n\"Answer: -2*r - 10995764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 54*s**2 + 140*s + 36. Let v(t) = 10*t**2 + 28*t + 6. Let f(a) = 4*c(a) - 21*v(a). Determine f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123350 - 0?\nAnswer: -123350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98673232843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15023*w**3 + 2*w - 7070.\nAnswer: -45069*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111793457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -148?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 + 21548*h**4 - 29030532*h**3 + 28965908*h**2 + 58017992*h = 0.\nAnswer: -1, 0, 2, 2693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 24 = -3*u. Let i be (-4 + (-72)\/(-16))\/(3\/(-6)). Let t = 1 + i. Solve -3*a = -t*p + 2*p + u, p + 4 = 5*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.8303cm in nanometers?\nAnswer: 7708303000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 1813265469.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0*b**2 + b**2 - 5*b**2)*(-5*b + 4*b + 2*b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 158 + 51 - 198. Calculate the remainder when 145 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose 0 = 2*o + 2*o - 4*t - 140, -2*o + 70 = -k*t. Suppose o = 3*l - 37. What is the smallest common multiple of 6 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 26*m + 18. What is k(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*w + 42 = 0, -179*w + 0*w + 177*w - 2*w = 9*n + 100 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + 0.046. What is r rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 2*r**3 - 4*r**4 + (-135 + 3*r**2 + 0*r**2 - 20)*(1 + r**2 - 1).\nAnswer: -r**4 - 155*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -4233, -0.5, -2, 2\/3, 5, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 5699070877 and 0.097.\nAnswer: 5699070877.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, t: 1, n: 1, c: 4, x: 5, z: 3}. What is prob of picking 1 n, 1 z, and 2 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -26, -44, -64?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 226 and 0.15.\nAnswer: 226.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k + 4. Let x(u) = -75*u + 33. Let i(y) = -33*m(y) + 4*x(y). Let g(j) = -j**2 - 386*j. Determine g(i(r)).\nAnswer: -9*r**2 + 1158*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 3. Let r(u) = u**3 + 17*u**2 - 16*u + 11. Calculate 3*l(n) - r(n).\nAnswer: -n**3 - 17*n**2 + 10*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5349 - 1.919. Is y greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223633 divided by 45\nAnswer: -223633\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 + 4*o**2 + 10*o - 4. Let q(k) = -k**3 + k - 1. Let m(v) = -l(v) + 6*q(v). Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12952)\/(-190)*59 + 1\/(-5). Let d(i) = 1005*i**2 - i + 2. Let s be d(-2). Let n = r - s. Calculate the common denominator of 27\/4 and n.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3262 = 2*q + 7*w, -3*q + w + 4886 = 0. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203475 divided by 7475?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 27 = -42. Suppose 0 = -w*q - 4*m, 4*q = m - 3*m. Solve 0 = -4*s + 2*f + 16, q*s = 2*s - 2*f - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*f + 11. Let a = 5 + f. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105872 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 246*a**3 - 1749*a**2 - 1998*a = 0 for a.\nAnswer: -1, 0, 9, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 11257794*x**2\/7 + 2263178049600*x - 2263176441344.\nAnswer: 2*(x - 2814448)**2*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 4*y**5 - 4*y - 5*y + 15*y**5 + 190*y - 190*y + (-2*y**4 + 2*y**4 + 2*y**4)*(1 - 1 - y) + y**5 - y**5 + y**5.\nAnswer: 10*y**5 - 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*(-1 + -30))\/(-1). Suppose 0*v + 15 = 3*v. Suppose 2*j - v*a - 4 = -t, -5*a + 25 = 0. Does 2 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/9))**(-2\/73)\/((j**(-15)*j)\/j*j**(2\/7)) assuming j is positive.\nAnswer: j**(67489\/4599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -55184 < -55183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 + g**2 - g + 1. Let i(x) = -26*x**3 - 15*x**2 - 2*x + 13. Let l(w) = 5*h(w) + i(w). Find d such that l(d) = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 80\/72*2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*f**3*h + 2*f**3 + f**2 - 661*h wrt f?\nAnswer: -360*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 - (-27 - ((-56)\/8 + -3)). Solve -16*w + i*w = -2*y, 5*y - w - 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, z: 2}. Give prob of sequence zznn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11401 - -111201023?\nAnswer: 111212424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1698, -3402, -5106?\nAnswer: -6810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(11\/(-22)*(-84)\/(-231)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140555*d**2 - 375*d.\nAnswer: -5*d*(28111*d + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5276*r + 25189*r + 13 + 13614*r - 12 - 6667*r.\nAnswer: 37412*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50501 - 4b?\nAnswer: 50472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 + (4*-1)\/4 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-24)*(-85)\/102*(-12)\/(-1)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/4)\/(14\/28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133211?\nAnswer: 13, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6283*h**3 + 917*h + 2 wrt h?\nAnswer: 37698*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028805424 to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.530121 weeks to seconds.\nAnswer: 2135017.1808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336851 is divided by 18313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6322?\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32441 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920621 is divided by 114920.\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/14 - 4*h**3\/21 + 8*h**2\/7 + 27. Find t, given that u(t) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/3, 3, 0.4, -1.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 - 2*z**4 + z**4 + (3*z + 2*z - 3*z)*(2*z - 2*z - z**3) - z**4 + 4*z**4 - 4*z**4 + (2*z - 2*z + 2*z**4)*(3 + 3 - 5).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 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: Simplify (v\/(v\/(v*v*v**(-5\/3)))*v**7*(v\/(v\/((v\/(v**7\/v))\/v)))\/v*(v\/v**6)\/v)\/(v**(-1\/11)*v*v*v**6*(v*v**(-1)*v)**43) assuming v is positive.\nAnswer: v**(-1867\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, 3, -6 in descending order.\nAnswer: 5, 3, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*d*z**2 - 6*d*z + 3*d + 176 wrt z?\nAnswer: -228*d*z - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711478.\nAnswer: 2, 43, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 67063809*l**3 + 499728364705989*l**2 + 1241248799489161312515*l + 4964987202307102037244.\nAnswer: 3*(l + 4)*(l + 7451533)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-50)*5*36\/(-6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8184, -32785, -73788, -131193?\n\"Answer: -8201*f**2 + 2*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3680 + -28954822592.\nAnswer: -28954818912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-17)\/m**(1\/10)*(m\/((m\/m**(-1\/6))\/m))**(6\/19) assuming m is positive.\nAnswer: m**(-3199\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + (-72)\/(-42). Suppose -2 - k = 2*r. Let n be ((-12)\/(-15))\/2 - (-4)\/5. Which is the closest to r? (a) n (b) -2\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 136620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-70) - 21*(-28)\/2940. Determine p, given that 0 - d*p**3 - 36\/7*p**2 - 162\/7*p = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321\/46 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2 + (-513)\/(-114). Let w(v) = -5*v - 2*v + d*v + 2*v. Let h(l) = -124*l**2. Calculate w(h(p)).\nAnswer: -124*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108033 is divided by 98?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuutgguguggggugggu. Give prob of picking 4 g.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9122.98962 rounded to the nearest one hundred?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 5*a + 50. What is z(7)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -13*c**5\/20 + 3*c**4\/4 + c**3\/3 - 8*c**2 - 12*c. Let y be p(-8). What is y rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/368784945 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 13 = 2*v + 2, -5*z + 2*v + 19 = 0. Solve -5*s - z*q - 28 = -s, 5*s + 26 = -4*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174.73897 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8\/s**(-2))**(-35) assuming s is positive.\nAnswer: s**(-350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1\/4, 3\/14, 32, 20 in descending order.\nAnswer: 32, 20, 1\/4, 3\/14, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -2 + (-94 - -110) - (3 - -29).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 122 = 2*c, -2*c + 132 = -0*c + 2*s. Let p(n) = 2546*n + 68744. Let u be p(-27). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.034 + 5.234. Let x = p - -0.8. What is the second biggest value in x, -5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 142.47. Let l = -10 - -9. Let a = l - k. Round a to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6056301 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)\/w*(w*w**(2\/29))\/w)**(1\/9) assuming w is positive.\nAnswer: w**(-259\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**11*y))**(7\/13)\/(y\/(y**(5\/3)*y)*y**24) assuming y is positive.\nAnswer: y**(-1123\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3356854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -5) + 4*3. Let x = -7 + q. Suppose 101 = 5*h + x*y - 2*y, -h + 3*y = -13. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - k + 1. List the prime factors of m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2468.1 - -2468. Which is the nearest to v? (a) -6 (b) 2 (c) 0.0469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -152, -277, -428, -593?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllllljmghgqgmlmmh. Give prob of sequence glgh.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 8*q**2 + 9*q + 2. Suppose -a + 2*u + 22 = a, 41 = 3*a - 5*u. Calculate the lowest common multiple of 4 and m(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1825085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 64?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. Suppose 7*c - 165 = -a. What is the remainder when c is divided by (18\/(-15))\/(2 - (-86)\/(-40))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78702 and 3133?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 115*w**2 - 1644*w + 418. What are the prime factors of c(-126)?\nAnswer: 2, 101, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + g = 19*o - 76, 370*g + 4*o - 12 = 368*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 5*i**2 + i + 12. Let q be m(-5). Suppose r - q = 7. Let t = r - 11. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111 or 110?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50479239 a multiple of 1777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 12:44 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 - 93. Is 35 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 140 = -4*a. Let f be 7\/a - (-1)\/(-55). Which is bigger: f or -10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1203536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5670*u = -5*i - 5671*u - 245, -2*i = 3*u - 2*u + 98 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, q: 4, b: 1, d: 5}. What is prob of sequence bl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/56)\/(3\/120). Suppose -15*x = w*x - 500. Solve -x = 5*r - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/192 and -37\/40?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - 30\/152. Let c = 0.95 + -0.85. What is the biggest value in 0.3, c, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**3 - 7*n**2 + 6*n - 2. Let s(l) = -3*l**3 - 2*l**2 + 2*l - 1. What is -7*s(x) + 2*u(x)?\nAnswer: x**3 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 953800.1l?\nAnswer: 953800100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - 18 - (7 + 6 - -1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 34*n + 120 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 58, 1, 2, 4, -314, -5 in ascending order.\nAnswer: -314, -5, -3, 1, 2, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1476)\/10*(-20)\/4. Let p = q + -7387\/10. What is the common denominator of -19\/20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = 920. Let c be g\/(-40) - (-2)\/5. Solve 3*m - 6*m = 9, -3*s + 21 = -c*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usarinna. Give prob of sequence rn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 122922.02 times -1\nAnswer: -122922.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -15\/2, -0.2, -9?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*a**3 + 208*a wrt a?\nAnswer: -84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w + 50 = -35*w. What is the remainder when 37 is divided by w\/(-4) - (315\/(-14) + -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 + 6*x**2 - 445*x**3 + 436*x**3.\nAnswer: -9*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31250 (base 12) to base 5\nAnswer: -4024114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 divided by -71368?\nAnswer: -227\/71368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3 + 126*x**2 + 2220*x + 10600 = 0.\nAnswer: -106, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7897624 by -1128232.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*r + 11, 8*d - 2*r + 11 = -9*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -526 + 10?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 8 - 13)*(108*p - 108*p - 31*p**2) in the form j*p + d*p**2 + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert db33b (base 15) to base 8.\nAnswer: 2517255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -5, -455.\nAnswer: -455, -130, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11*j**2 - 1. Let r(n) = n. Let v be r(-1). What is c(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 20, 4 in decreasing order.\nAnswer: 51, 20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 175404371\/5 and 35080875 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -27, -50, -89, -150, -239?\n\"Answer: -a**3 + a**2 - 9*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:26 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209890110.\nAnswer: 2, 5, 11, 13, 101, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1097 + 3675. Suppose 1282 = 4*g - a. Is g a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.19843?\nAnswer: 0.0178587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9174 - 9017. Which is smaller: 161 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 - 100 + 46 + 58 + 15*i - i**3)*(0 + 1 - 2) in the form q*i**2 + j + p*i**3 + y*i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*(8\/(-21) + (-4)\/14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - l)*(-2*l + 2*l**2 + 2*l) + 2*l**3 - 8*l**3 + 2*l**3 - 4.\nAnswer: -6*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/4 + 10*m**3\/3 - 3*m**2 - 25*m + 135. Let g be r(9). Solve 3 = n + 2*x, 0 = -g*x + 4*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsl when three letters picked without replacement from {l: 1, w: 8, s: 2, q: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10*y = 0. Is -1\/10 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66 + 0?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 83439, 166692, 249937, 333168, 416379, 499564, 582717?\n\"Answer: -j**3 + 2*j**2 + 83254*j + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2\/(-1 + 2). Let m(b) = b**3 - 2*b**2 - 4*b + 3. Let u be m(4). Let t = 22 - u. Solve 0 = z*w + t*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1524 - -0.23.\nAnswer: -1523.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 13)*(-15 + -7). Calculate the highest common divisor of 28 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (69\/15 - 3)\/((-2)\/120). Let a = -82 - r. Is a < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6779970 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididzzzzbzziibdicci. Give prob of sequence zib.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 44788125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 84277*q + 11377420. Determine z(-135).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h + 72*h = 120*h - 2261 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54576 divided by 9096.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - (-27)\/6. Suppose 2*w + 11 = r*k + 3*w, 4*w = -4*k - 4. What is the third derivative of -5*d**4 - 5*d**2 + 2*d**4 + k*d**2 wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -13\/3*x**3 + 14*x + 1\/4*x**4 + 5\/2*x**2 + 9. Is c(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**5 + n**5 - n**5)*(0 - 2 + 3 + (1 + 2 - 2)*(3 - 5 + 0) - 2 + 0 + 4 - 1 + 1 + 2).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2620 + -10481\/4. Which is the nearest to 24? (a) p (b) -0.3 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 212*f + 2736. Calculate r(-91).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184.03 + 180. Let r = s - -0.03. Let z be (-20)\/(-24)*-4 - -2. Which is the third smallest value? (a) 1\/5 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from cocloloo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(200)*-1 + -4)*6)**2.\nAnswer: 2880*sqrt(2) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -545 - -2181\/4. Sort 1.5, -0.07, u in ascending order.\nAnswer: -0.07, u, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98204*v*x**3 + 2*v*x**2 + 4*v*x - 397022*x**3 wrt v?\nAnswer: -98204*x**3 + 2*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzuzezpppex. Give prob of sequence xueu.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-12)\/16 - (-25 + 25)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + 425848*p**3\/3 - 15111926024*p**2 - 181348222496*p\/3 - 181349925904\/3.\nAnswer: -(p - 212926)**2*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from {t: 1, a: 2, s: 1, c: 1, p: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 >= -4455\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134.1024 - -134. Let p = g - -0.091. Round p to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25929787936900*a**2 - 122211120*a - 144 = 0.\nAnswer: -6\/2546065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1779*c = 1851*c - 792 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u - 8*u + 4*u - 58 - 4*u to g*u + y and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 104, 97, 76, 35, -32, -131, -268?\n\"Answer: -x**3 - x**2 + 3*x + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514643, 1029238, 1543837, 2058440?\nAnswer: 2573047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 15*s**2 + 15*s + 46. Determine z(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 + j**3 - 6936*j**2 + 414210.\nAnswer: 8*j**3 + 3*j**2 - 13872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, -4, -30 in decreasing order.\nAnswer: 5, -2, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.1 - 61. Which is the closest to 0? (a) 2\/7 (b) -1\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - (-14 - 6)) + 11 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001323 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720506201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 16 = 3*s, 235*s - 236*s - 74 = -39*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002894044 rounded to 5 decimal places?\nAnswer: -0.00289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 - -202. Let c(g) = 4*g**3 + 3*g**3 - 2*g**2 + 2 + 2*g**3. What is the remainder when c(2) is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 0.24, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 take away 22229958?\nAnswer: -22228689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119 + 144. Suppose -5*n - f = -5*a + 70, -2*n = -4*a + 68. Solve 3*c = -3*o + a, 0 = 2*c + 3*c - 3*o - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = 3*w - 11, -3*w = -9. Let j(g) = 124*g**3 + g**2 + 2*g - 2. Does 11 divide j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2.6, -3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -2153466?\nAnswer: -215346a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/7938 and 89\/154791.\nAnswer: 309582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 824 + -812. Solve 4*c = 4*m - 16, 2*c = -0*c + 4*m - b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28399.\nAnswer: 7, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179\/3 + -59. Let z = 0.09 - 3.09. Which is the second biggest value? (a) z (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 908*m**3 + 1828*m**2 - 916*m.\nAnswer: -4*m*(m - 1)**2*(m + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*i = 111*i + 1218 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -100467\/8 - 3\/8*n**2 + 549\/4*n = 0.\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 42352?\nAnswer: -42345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2461 divide 724773574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 8. Let i be z(-10). Suppose i + 3 = 5*d. Which is the biggest value? (a) -3 (b) 1.6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.22 (b) 5\/4 (c) 2.1 (d) 0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:24 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37, -73, -109?\n\"Answer: -36*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57840718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2 + 232*k + 2643. Let x(j) be the second derivative of -5*j**4\/4 - 155*j**3\/2 - 5285*j**2\/2 + 88*j. Let d(z) = -5*i(z) - 2*x(z). Factor d(u).\nAnswer: -5*(u + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 6058. Let x(o) = -2*o**2. What is x(p(d))?\nAnswer: -8*d**2 + 48464*d - 73398728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-620)\/(-10)*7\/1960 and 121\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100 + 15 - 225*h**3 - 182 - h**2 - 35 wrt h?\nAnswer: -675*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757.\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8214*c**2 + 3*c - 7449. Let x(z) = -z**2 + z - 3. Let t(f) = -v(f) + 3*x(f). What is the first derivative of t(p) wrt p?\nAnswer: 16422*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9885*m + 25254 wrt m?\nAnswer: 9885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 111111010111110101010100011?\nAnswer: 111111010111110101010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 88. Solve d*q - 1 = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8, 14 = -0*c + 4*c - 5*x. Let m(d) = d**2 - 7*d + 8. Let v be m(c). Suppose -v - 6 = -g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8164524 is divided by 8164311.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 66799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(242) + 1 + 1)*5)**2.\nAnswer: 1100*sqrt(2) + 6150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 11:59 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158 - 205 + 21 - 8)*(0*f**3 + 2*f**3 - f**3 + 0*f**3 + f**3 + 0*f**3 + (f**2 + f - f)*(0*f - f + 2*f) - 11 + f**3 + 11 + 4*f + 2*f**3 - 4*f).\nAnswer: -2100*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 3*r - 2*r - 2*r - 2*r + r + (3 - 2 + 0)*(-2*r - 3*r + 3*r) + r + 0*r + 0*r - 8*r + 5*r - 3*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - 10*c - 2. Let v be x(-2). Solve 0 = v*m + 1 - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/9 greater than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-12)\/39?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2 + 51*n - n**4 + 21*n + 14*n**2 - 3*n**3 - 57*n = 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -136*l**2 + 4177*l - 4177*l. Let d(k) = 7*k. Give x(d(n)).\nAnswer: -6664*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3344 + -84. List the prime factors of g.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 9. Let y = g - -4. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -274, -279, -272, -247, -198, -119?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 - 5*l**2 - 4*l + 20. Let h be c(5). Suppose 2*o - 3*k = -4*k - h, 937 = -3*o - k. What is o rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -u - 28. Let n = u + 94. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-78))\/((-24)\/(-80))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1492, -2225, -3444, -5149, -7340, -10017, -13180?\n\"Answer: -243*d**2 - 4*d - 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1468 and 24?\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43923 and 14641.\nAnswer: 43923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -166141109 < -166141109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5169355 minus -5?\nAnswer: -5169350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1458 divided by 162.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -222 - -226. Suppose 0*t - 4*t - q + 121 = 0, b*q + 38 = 2*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 4)*(p**3 + p**3 + 0*p**3).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**2*z + 66*h**2 + 127*h*z - 5*h + 1 wrt h.\nAnswer: 16*z + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from gpddgdggdgddgd.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269 + 498. Suppose 5*d + 4*b - 223 = 0, -b + h = 5*d + b. Suppose 5*g - d = 23. Solve 3*m - 18 = 3*w, m + 6 = 3*w + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 = 4*j - 252. Let s = 2135\/9 - j. Solve 2\/9*r**2 - 2\/9*r - s + 2\/9*r**3 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/((-5)\/(-4)*1). Let q = -2 - -6. What is the closest to 2\/5 in f, q, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n*n**(1\/6)))\/n**1)\/(n**(-1))**(-32)*(n**(-1\/4)*n*n*n*n**(-3)*n)**(-8) assuming n is positive.\nAnswer: n**(-247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(152) - sqrt(152)*2*1)\/sqrt(8) - ((1*sqrt(19)*5)**2 + 4)).\nAnswer: -482 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and -5272?\nAnswer: 195064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 1)*2\/(2*-1). Let a = l - -13. Suppose -36 = 2*x - 6*x. Calculate the least common multiple of a and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*v + 2, 7 = -2*n - v + 6. Let f be (-310)\/58 + 4 - n. Is f greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqqijgwwewwgwg. What is prob of picking 1 w and 1 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13*0.12\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/13, 0.03, 1\/6, -4 in descending order.\nAnswer: 5\/13, 1\/6, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 181 - 33 = 0. Let k = c - 79. What is the tens digit of 146 + ((-3)\/k)\/(3\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 24 + 443*c + 50.\nAnswer: 443*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 135 = -18*t. Suppose -3*h + 27 = t. Let b be (-123)\/h*7\/14. Which is smaller: b or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 77448*p = 77597*p - 5652, 3*z + 4*p - 137 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -187*v - 2035. Let y be c(-11). Solve 0 = 10*g + y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(2 + (-10)\/6). Suppose 47 + 34 = w. Calculate the highest common factor of w and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 530 - 136. Let b = z - 178. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2344 - 0.4344. What is the nearest to -190 in -5, 0.2, m, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = 4. Suppose -2*x - i = -5*s - 195, 0 = -2*x - 4*s + 146. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + p - 5 - 5, 4*p - 19 = -q. Let g be ((-32)\/(-10) - 1\/5)*-18. Let h = -49 - g. Solve -h*l - 2 + 7 = -a, -5 = a + q*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79166, -79171, -79176, -79181, -79186, -79191?\n\"Answer: -5*o - 79161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*z - 3*l, 3*l = -4*z. Suppose z = 13*t - 11*t + 92. Which is smaller: -47 or t?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26766 or -53529\/2?\nAnswer: -53529\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 93912 (c) -1 (d) 6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-22053)\/(-1 - (-10)\/4). What is v rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2. Let l(w) = -1624*w. What is l(p(x))?\nAnswer: -4872*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12301 (base 6) in base 7?\nAnswer: -5233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 12*x - 7. Let f be r(10). Let z(a) = -a - 1. Let o be z(-6). Let q = f - o. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -135, -327, -603, -963, -1407, -1935?\nAnswer: -2547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*t - 235 = 0, -141 = u - 2*t + 91. Let s = 148 - u. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131.6 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2527034405 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 3*d. Suppose 3*t = -2*k - 8, t + 16 = d*k - 2*t. Suppose 2*a**3 + 0*a**k + 0*a**2 = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155433991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3928 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*x - 7. Suppose u - 1 = -x. What are the prime factors of (u\/2)\/((-4)\/616)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*w - 4 + 4.\nAnswer: 117*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d + 10. Give q(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-21)*(-8 - -6). Let s = -204 - -119. Let n = s + 85. Do n and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.32616894 to one dp.\nAnswer: 33.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t - 19. Let r(x) = 17*x - 19. Let k(p) = -5*o(p) + 4*r(p). Find the first derivative of k(s) wrt s.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19889*b**2*p + 3344*b**2 + 4*b + 27 with respect to p.\nAnswer: 19889*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18.4 and -685.\nAnswer: -666.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**24)**8\/(r\/(((r\/(r\/(r**27*r*r)*r))\/r)\/r))**(-3\/28) assuming r is positive.\nAnswer: r**(-5227\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-3)*3*228\/2280.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 224309.6 kilograms?\nAnswer: 224309600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(13) + 5 + 4) - (sqrt(156) + (sqrt(156) + (sqrt(156) - (sqrt(156) - 2*sqrt(156))))*1)\/(-3*sqrt(24)\/sqrt(2)))**2*4*6.\nAnswer: 2304*sqrt(13) + 29984\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 15*t = 12. Suppose i = -t*i - 35. Sort -4, i, -2, 1.\nAnswer: i, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-36))\/(3\/(-6)). Which is the closest to 0.1? (a) 2\/13 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25911821 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -45*w**3 - 6*w**2 + 7*w + 1. Let f be l(3). Let b be (-86)\/f + 4928\/29. What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 15*t - 7. Is 7 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 5. Let q = 9 - 5. Let v(d) = d + 4. Let s(k) = k**2 + 10*k + 11. Let c be s(-8). Give c*v(p) + q*w(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 634 - -187816?\nAnswer: 18834a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.9 + -44. What is the third biggest value in -1, 2, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23257029, 46514111, 69771191, 93028269, 116285345, 139542419, 162799491?\n\"Answer: -y**2 + 23257085*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233042 (base 6) to base 15.\nAnswer: -5e5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**4 - 6976*h**3 - 2084540*h**2 - 32793936*h + 11163186 = 0.\nAnswer: -573, -17, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**2 + 51*t - 2078?\nAnswer: -2*t + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3091*f**2 - 77*f**4 - 5*f**3 + 4948*f**2 - 17*f**4 wrt f.\nAnswer: -2256*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:17 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -37529, -4, 0, -3 in increasing order.\nAnswer: -37529, -4, -3, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.303 + 0.097. What is the closest to -1 in 5, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(147) - sqrt(147)*3 - sqrt(147)) + -4 + sqrt(147)))**2 - ((sqrt(132)\/sqrt(176) - sqrt(12)) + (sqrt(48)\/(sqrt(4)*1 + sqrt(4)))**2).\nAnswer: 899*sqrt(3)\/2 + 2413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -181242600 to the nearest 100000.\nAnswer: -181200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than 2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/30)\/14*((-1872)\/91)\/((-6)\/28)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**7\/210 - x**4\/24 + 4*x**3\/3 - 1. Let a(c) be the third derivative of k(c). What are the prime factors of a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12027*i**3 + 0*i + 0*i - 4*i**2 + 12020*i**3.\nAnswer: -7*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 - 31 - 29)*(0 + 21*g + 9 - 28*g)*(-3 - 2*g**2 + 3) to the form l*g**2 + i*g**3 + p*g + q and give i.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7 - 2?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:52 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 81?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -3 - (-6 + -4 - (-1 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 7}. Give prob of picking 1 r and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 43*h - 3.\nAnswer: 43*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.5 + -40. Let y = -11 + t. Put y, -5, -8 in increasing order.\nAnswer: -8, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 19 = -0*r + 2*r, 4*u + r - 22 = 0. Suppose u*x + 4*y - y = 0, 0 = 2*x + 2*y. Solve 2*b - 6 = -x*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277456575.\nAnswer: 5, 101, 901963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5826 is divided by 1934.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78820 (base 13) in base 10?\nAnswer: 218881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(1 + -2)*-12. Let n = -2675 + 2681. Let y = l - n. What is the least common multiple of 8 and y?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3\/5 - 197*d**2\/5 - 801*d\/5 - 603\/5 = 0.\nAnswer: -3, -1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/x)**(-27)*(x\/(x\/(x*(x\/x**(2\/9)*x)\/x)*x))**37)**(2\/95) assuming x is positive.\nAnswer: x**(1004\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = 3*v. Suppose 605*u + 4*t - 10 = 602*u, 2*u = -2*t + 6*t. Sort v, -1, 4, u in descending order.\nAnswer: 4, u, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65643 - -98197. What are the prime factors of d?\nAnswer: 2, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22157 - 11391. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 - 34. Suppose -6*u - 71 = -c. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -13, -1, 0 in descending order.\nAnswer: 93, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*5.45642.\nAnswer: 3.819494","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(1\/28)*(w*(w\/w**(-4\/3))\/w)**(2\/37) assuming w is positive.\nAnswer: w**(281\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -w - m, -189*m + 195*m + 32 = 4*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -8, 1, -1 in decreasing order.\nAnswer: 5, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13537 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18735633689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5058 smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(684) + (-2*sqrt(684))**2)*-5 - ((-2 + sqrt(931) + sqrt(19))**2 + 5*sqrt(171)).\nAnswer: 197*sqrt(19) + 80860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, q: 1, b: 1, d: 1, k: 1}. What is prob of picking 1 q, 1 d, 1 v, and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.3 + 0.1.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 299498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-14)*17\/((-765)\/(-70))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtdvwvddvdtvtddtdpt. What is prob of picking 2 t and 1 p?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1890172 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-1386)*18)\/(1\/35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.64 + -248732911\nAnswer: -248732910.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = 86*n - 153*n + 94*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482301 - 501972 = 249*a for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 2\/9 (c) -0.2 (d) -0.0174 (e) -1 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2302516, -9210057, -20722626, -36840223, -57562848?\n\"Answer: -2302514*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 2\/17 (c) 1 (d) -0.8 (e) -2 (f) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/14, -3, 7, -5\/48?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 17.3. Which is the biggest value? (a) 4\/5 (b) 0.2 (c) 4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11120 - 13532?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*h = 7*h - 2, 9 = -4*g + 5*h. Which is greater: g or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 - 10*i**4 - 18*i**3 - 14*i**2 - 4*i.\nAnswer: -2*i*(i + 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 4:36 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:51 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 39*q**2 - 22*q - 110. List the prime factors of w(-25).\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/14 and -51\/77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:16 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkvk when four letters picked without replacement from vvkvkvvkkkvvk?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63409\/3 + -20959. Let s = g - 2401\/12. What is the common denominator of s and -13\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62824*s**3 - 62800*s**3 + 125627*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/424 and 51\/88?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let j be -1 + 3 - (-3 - -6). Let u be (-1)\/(-3 - (j - -3)). Which is the biggest value? (a) 0.1 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4988 divided by 70781?\nAnswer: -4988\/70781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-107)\/1926)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.371364 days in nanoseconds?\nAnswer: 809685849600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 7\/6, -2\/3, 1.48?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + 135.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -13. Suppose n + l = 6*n + 28, 2*l = 4*n + z. Let k(r) = r**2 + 5*r - 2. What is k(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 46. List the prime factors of 3344\/40 + (6\/(-10) - w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -511 + 251?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17488 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r - 8. Let j = 370 - 34. Find the common denominator of (-92)\/j - r\/3 and 91\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29286 (base 13) to base 8.\nAnswer: 227037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 - j**2 + j - 2. Let u = 3871 + -3870. What is d(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(54)*1)\/sqrt(9))\/(sqrt(12)*-5).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 - 170068512*n\/5 - 7230824693473536\/5.\nAnswer: -(n + 85034256)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 6:43 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 53. Let j be 1\/6 + (-2222)\/z. Let g = -98 - j. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 3. Let c(z) = z + 1. Suppose -4*k + 0*k = j + 5, -4*j - k = -10. What is j*c(f) + n(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11284*o - 324 = -11257*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2 + 10048*z - 6310144 = 0.\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 9*m + 14. Let b be y(-6). Let t(c) = 61*c + 12. Let q be t(b). Let l = q - -1141\/5. What is the common denominator of 57\/5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924972876.\nAnswer: 2, 3, 23, 1117117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 23?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -215760086*y**4 - 28376290 wrt y?\nAnswer: -863040344*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.3, -5, -4\/115?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -164. Suppose 119 = 2*k - i. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f**3 + 1181440*f**2 - 17193066*f + 23886044 = 0.\nAnswer: 14\/9, 13, 65621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 376*g - 77461. Give y(206).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m**2 + m - 4. Let w be u(4). Let q = 1 + w. Is q\/((-2)\/(-42)*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 smaller than -20902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 6*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135533 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = 15. Is 16 a factor of x*((-96)\/5)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/38? (a) -3 (b) -3\/2 (c) -0.2 (d) 0.167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249 + -253. Let u(i) = -3*i**2 + 2*i + 2. Let k(y) = y**2 - y. Calculate o*k(b) - u(b).\nAnswer: -b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 w when three letters picked without replacement from qjdqqjedvwvvvq?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 682068886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91969374 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 416*f*k**2*y - 78428*f*k**2 - 134*f*y + 36552*f + k + 1 wrt k.\nAnswer: 832*f*k*y - 156856*f*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 970129\/(-7) - (-26 + 183\/7). Round y to the nearest one thousand.\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192139.5ug to nanograms.\nAnswer: 192139500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16973.14 + 16973. Is -7.43 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -10\/3*r**4 + 4 + 22\/3*r**2 + 38\/3*r - 6*r**3 + 4\/3*r**5 = 0. What is r?\nAnswer: -1, -1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) + -1*sqrt(2430)*-2 + sqrt(2430))\/((sqrt(160) + sqrt(10))*-1).\nAnswer: -36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = 6. Let s be 0*-4*p\/16. Is s not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*b**5 + 1527*b wrt b?\nAnswer: -2400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3438 and 38\/12033?\nAnswer: 24066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1128)\/(-5) + (-6)\/10. Let t = j + -1577\/7. Which is the nearest to t? (a) 0.2 (b) 4\/9 (c) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 10 = -5. Let i = b + 0. Let o = 17 + i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 134. Let m = -24 + s. What is the greatest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11706318587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 10*b - 3.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17985197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77674 - -38?\nAnswer: -77635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8247458 is divided by 1186.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5\/2 + 24*t**4 + 81*t**3 + 84*t**2 + 57*t\/2 = 0.\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 4*h - z, 3*h - 22*z = -1831 + 1856 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0)\/1 - 33. Let p be 14\/r + (-236)\/10. Let j = 3 - p. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1887894, 1887894, 1887904, 1887924, 1887954, 1887994?\nAnswer: 1888044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6704872 + -5?\nAnswer: -6704877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-2)\/(-6)) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1942000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*z + 17, 9*n - 8*n - 11 = -z. Suppose -4*x + 99 = -n. Let d(w) = 7*w**2 - 9*w - 9. Let j be d(-6). What is the highest common divisor of x and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2 - t**3 + 9*t + 4*t**2 + 2*t**2 - 2*t. Let v be r(7). Suppose -z + 5*w + 10 = z, 4*z - 52 = v*w. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*-13*(-27)\/(-54)*3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 3*x**2 + 58*x + 57. Let o be s(11). Suppose -3*a + 4 = -50. Solve 0 = -5*m - 5, -o*q = 2*q - 3*m - a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-21)\/(-54) - (-51)\/(-102)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1034 - -4.8966. Suppose y + 2*y + 99 = 0. Which is the second biggest value? (a) 4 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263602235.42 + -0.59?\nAnswer: -1263602236.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*s**2 - 15*s - 2 = 0. What is s?\nAnswer: -2\/29, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 92, 550, 1314, 2384?\n\"Answer: 153*x**2 - x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 54667395416 - -10\nAnswer: 54667395426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6682 + -0.2408. Let x = r - 0.091. Which is the closest to -2? (a) 0.5 (b) 0.2 (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 12*y - 45. Let p be v(3). Is 8 - (1 - p\/4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by ((-8)\/6)\/(2\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 197 = -833. Suppose 0*l + l - 5*m - t = 0, 0 = 4*m. Is 53 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2 - 5*b**2 - 29*b - 20*b + 15*b wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - x - 5 = 0, -10*y + 5*x = -13*y - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 3*p + p. Let t = p - -103. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoaoabnbnb. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29964 is divided by 14975?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + s = -1, -i - 4*s + s + 5 = 0. Suppose -26 + i = -6*h. Suppose -3*y + 13 - h = 0. Solve 0 = y*a - 5 - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -822*r - 14. Let u(f) = -307*f - 5. Let b(z) = -8*u(z) + 3*y(z). Let a(q) = -q. Determine 5*a(v) + b(v).\nAnswer: -15*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:41 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217 and 51338.\nAnswer: 1591478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {a: 4, d: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (0 + 2 - 2). What is the first derivative of 1 - 4*d**3 + 1 - b wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787*p - 2*f = 1791*p - 28, 3*p - 31 = -4*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15344 is divided by 187.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/20 - 253*b**4\/120 + 17*b**3\/15 + b**2 + 262. Solve f(h) = 0 for h.\nAnswer: -17, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10402, 20800, 31198, 41596?\n\"Answer: 10398*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {z: 7, j: 4, h: 2, d: 2, o: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.26 - 0.74. Suppose 0 = -g + 3*g - 2. Let v = 2.545 - 7.545. Which is the third smallest value? (a) g (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11210*c + 11158*c = 4004 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 9. Let m be u(5). Let n be (3\/(-2))\/(2\/m). Suppose -k + 6*k = -q + 15, -5*q = -k + n. Which is the nearest to 2\/3? (a) -2\/3 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*r + 54293, 6*o - 5*r - 38663 = 26489. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 8*b**2 + 2*b - 11. Let s(i) = i**3 + i**2 + i. Let t(f) = -2*s(f) + z(f). Is t(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1be4 - -4e?\nAnswer: 1c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28123 (base 10) in base 5?\nAnswer: 1344443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1681, 633, -1105, -3527, -6627, -10399, -14837, -19935?\nAnswer: -25687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57\/122 + 2\/61. Let d be 2\/(5\/(30\/(-4))). Sort -2\/3, l, d in descending order.\nAnswer: l, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.182 and 91116.\nAnswer: 91115.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18b (base 15) in base 11?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 19*l - 12. Let u(y) = y**2 - 10*y + 6. Let n(k) = -3*g(k) - 5*u(k). Let c be n(6). Suppose c*p - 174 = -3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 3*n - 164. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.4 + 3954154\nAnswer: 3954162.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from ffwdwfdceecwec.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 3 = n, -3*j - 2*n = 6. Suppose -i - 45 + 168 = j. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 - (-40)\/18). Let y = h - 4. Find the second derivative of k**3 + 3*k - 2*k - y*k**3 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6986 (base 15) to base 2.\nAnswer: 101011110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-28))\/(((-39396)\/686)\/(-67)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 180. Suppose 6*z = 2*z + 2*g + 16, -2*z = 3*g - 16. Calculate the greatest common divisor of z and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r + 0 - 1)*(3 + 121*r - 124*r - 2).\nAnswer: 3*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 140.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrjjjrrrjrjrr. Give prob of picking 2 r.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 - 5 - 9) + -4 + 5. Is v bigger than 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 17 = -5*y + 2*y, 0 = 2*a - 5*y - 27. Let q be (a\/(-2))\/((-8)\/48). Solve -5*h - 11 = q*v, -2*h + 2*v - 14 + 0 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2087, -4154, -6223, -8294, -10367, -12442?\nAnswer: -14519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from zff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21839436 and 17632.\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-3*o + 0*o - 12*o)*(-3 - 1 - 1) - 3*o + 3*o + o.\nAnswer: -74*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2 (c) -0.1 (d) 3 (e) 8424 (f) 0.5 (g) -0.74\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -14*g**4 + 4*g**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*u**2 - 35*a*u**3 + 4*a*u + 2*u**3 - 43*u**2 wrt a.\nAnswer: -6*a**2*u**2 - 35*u**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -520*r**2 - 168*r. Let a(k) = -40*k**2 - 13*k. Let w(j) = 80*a(j) - 6*t(j). What is the second derivative of w(u) wrt u?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*l + 6216 = 7*l + 2056 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (4 + 56\/(-20))\/((-8)\/(-1200)) and 300.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**3 - 11*m**2 + 11*m + 3. Let b(f) = 4*f**3 + 4*f**2 - 4*f - 1. Let k = -24 + 27. Let s(i) = k*h(i) + 8*b(i). Determine s(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00745694355 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3863 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -8*x**3\/3 + 4*x**2 - 2*x - 1078. Let u(m) = m**2 - m. Determine -2*i(b) - 14*u(b).\nAnswer: 2*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.3. Let w be (80\/6)\/(-4) - -4. Which is the biggest value? (a) w (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2526*d**2 + 6*d**4 - 4560*d**5 + 1219*d**2 - 6*d**4 + 2103*d**5 wrt d.\nAnswer: -147420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 - 7*r**2\/2 - 4*r + 349. Let d = 15 - 6. Let j be d*1\/((-9)\/(-6)). Calculate l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-550)\/990 + (0\/3)\/((-3)\/(-3))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**19*d**(-12))\/(d**(1\/7))**(-1\/11) assuming d is positive.\nAnswer: d**(617\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(6) - sqrt(96)))\/(-1*sqrt(320)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 75. What is the remainder when 86 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500801, -1001261, -1501721, -2002181, -2502641, -3003101?\nAnswer: -3503561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12731 (b) -31\/4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 - 1. Let i(m) = 21*m**3 - 16*m - 8. Calculate -i(k) + 5*t(k).\nAnswer: -k**3 + 16*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o + 15. Let f be (-1 - -4)*(-258)\/(-18). What are the prime factors of 0 + 2 + f - o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 1 a when three letters picked without replacement from aallssalslln?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k - 88 = 0. Let r(b) = 10*b + 11. Let j(f) be the first derivative of 2 - 1\/2*f**2 - f. Calculate k*j(h) - 2*r(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(187) + sqrt(187)*-2)*-6 + sqrt(187))\/(-5*4*sqrt(11) + sqrt(11))*6)**2.\nAnswer: 1079568\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, y: 4, b: 3, i: 4}. Give prob of picking 4 i.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147 minus -0.13?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0\/2) + -1. Suppose -i*x = -8 + 2. Suppose h = -5 + x. Sort h, -1, -5.\nAnswer: -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1100 + 1008 + 1 + -4 + 3?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**3 - 2*f + 1. Let t be k(1). Let u(g) = -8566*g + 2 + 8569*g + 14*g**2 - 22. Let p(n) = -5*n**2 - n + 7. Determine t*u(v) + 17*p(v).\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 25257 + 25332 = -5*r, -2*z - 4 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.649 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 25*f**4 - 123*f**3 - 691*f**2 - 1491*f - 894. Let a(l) = -4*l**4 + 5*l**3 + l**2 - 1. Let m(r) = 6*a(r) + g(r). Solve m(y) = 0.\nAnswer: -3, -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23639497 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 14. Let k be z(-7). Suppose 3*o + 4*l = 84, -o + 36 = -k*o + 4*l. Let f be (o\/15)\/(2\/5). Solve 9 + 7 = f*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17374818 to the nearest integer?\nAnswer: 4168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = -3*x, -2*x = 3*x + 4*d + 20. Let g = x + 6. What is the lowest common multiple of g and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0856 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2505 = -46*j + 1279 - 7318 + 1602 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -36*r + 23. Let u(z) = -3 - 180*z + 60 + 24 + 34. Let c(m) = 11*a(m) - 2*u(m). What is the derivative of c(b) wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziizzizzizzi. What is prob of sequence zzii?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7541 is divided by 396?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*j = 436, 2*q - 164 - 51 = 5*j. What is the highest common divisor of q and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92314.5l in millilitres?\nAnswer: 92314500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 32. Let s = 1386 + -1380. What is the lowest common multiple of v and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**2 - j - 14. Let u be v(-12). Is u\/(-14) - (-4)\/(-28) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2024 is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 24. Let b be v(4). Let z(i) = i**2 - 9*i + 4. Calculate z(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(-4 + -1 + sqrt(175) - sqrt(175) - (5 + 0 + sqrt(175) + sqrt(175)) - 1*(-2 + sqrt(175) + sqrt(175) + -3)))**2.\nAnswer: 5000*sqrt(7) + 70628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168447529*q**4 + 105374426 wrt q?\nAnswer: -673790116*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318096?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8496\/(-120))\/59*30\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (2 - 2 - (-19)\/((-114)\/(-116028)))?\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77073 - 39388. List the prime factors of b.\nAnswer: 5, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(8)*-6 + (sqrt(2736) + 0)**2.\nAnswer: -6*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z - 28. Let t be c(5). Suppose 0 = -3*p + t*p - 2088. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2, 3, 15, -1, -3779 in descending order.\nAnswer: 15, 3, -1, -2, -4, -5, -3779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100001100101010 - 1111?\nAnswer: -100100001100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0199895231 and -4.\nAnswer: -3.9800104769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1*22\/8)\/(29\/4292)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2514 - 1746. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t**3 + 9*t**2 + 9*t + 155. Let s(y) = 3*y**3 - 2*y**2 - 2*y - 39. What is 2*o(a) + 9*s(a)?\nAnswer: a**3 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 145\/11?\nAnswer: 145\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8285759, -8285758, -8285757, -8285756, -8285755?\n\"Answer: a - 8285760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*o - 310*o + 1093 = -1917 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1122 = -57*m - 445 + 1831. Calculate the least common multiple of 264 and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q**2 + 2508. Let g(z) = -3*z. Give g(c(w)).\nAnswer: 36*w**2 - 7524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35821 - 35818. Let j be (-18)\/4*(-8)\/6. Solve -30 = 5*h - 5*k, -k + 16 = -j*h + c*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 5*v**2 + 6*v + 3. Let h = 12 - 6. Let s be o(h). Suppose 3*y - s = -0*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/19896330 and 73\/23212385?\nAnswer: 139274310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6770*w - 1821147. What is h(269)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 - 325. Let g be ((-4)\/(20\/27))\/(r\/110). Calculate the highest common factor of 12 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*3)\/(-4*sqrt(150)).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 303*s. Let b(p) = 10*p**2 + 1050. Let m(n) = -n**2 - 90. Let t(q) = -3*b(q) - 35*m(q). What is t(d(j))?\nAnswer: 459045*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k - 56*k = -4*o - 20, -4*o + 4*k + 76 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*c**3*h*i**2 - c**2*h*i**3 - c*h*i**3 + 212*h*i wrt c.\nAnswer: -240*c*h*i**2 - 2*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = -l + 2*l - 3*u, 2*u + 1018 = 4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 + 100?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 - -1224?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*f - 5, 3*n - 2*f = 2*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 0. Let z = n + -4. Suppose 5*x + 2*j - 35 = -j, -37 = -z*x - 5*j. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/17687 and 43\/176870.\nAnswer: 176870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-1 + (-6 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = -k, -k - w = -3*k - 1. Let v = 435\/4 + -109. Which is the nearest to -1? (a) -5 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -14. Suppose 0 = -2*s + j*s - 372. Suppose 3*f = -0*f + s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-4) + (-15)\/10 + 2. Suppose -k - 130 = -2*r. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -48 - 62. Suppose 21 = 4*l - n, -4*l + 2*n = -15 - 7. Let c(o) = l*o - 6*o + y*o. Let g(u) = 4*u. What is g(c(p))?\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 5*c**4\/24 - c**2\/2 + 3*c. Let k(b) be the first derivative of a(b). Let f(p) = p**2. Determine k(f(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -148761 (base 10) to base 11\nAnswer: -a1848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34721\/10290 + -66\/343. What is the common denominator of x and -115\/564?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-1)\/3) + 5. Suppose 4*n + 0*n - x = 0. Let i be -3*(0 + n\/6). Sort 5, -3, i.\nAnswer: -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 76, 0.07, 4\/5, 6?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y = -14*u + 3266, u + 3*y = 219. Calculate the greatest common divisor of 104 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, -2.3, 2\/171, -0.9, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -2\/7, 0.1, 3\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/10)\/((-5)\/(-1))*15*-2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let x(h) = -49*h + 2. Let f be x(-9). Let l = -84 + 91. Let p(o) = -f - l*o**2 + 443. Give a(p(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*(-84)\/56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q - 3*q + 5*q + 2*q + 0 + 0 + (-q + q + q)*(1 + 4 - 4) - 2*q + q + 0*q + 3*q + 0*q - q + 11*q - 296 + 296 + (-1 + 1 - 3*q)*(0 + 35 + 7).\nAnswer: -112*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155573 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 8, -4*h = -4*n - 0*h + 8. Solve 20 = n*f - f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*o = 7*o + 112, -a = 3*o - 112. Let b be 75\/(-30)*a\/(-20). Calculate the greatest common divisor of 49 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79152 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 200*m - 43. Let s(h) = -403*h + 87. Let o(i) = -4*s(i) - 7*v(i). Is o(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50313.66m in nanometers?\nAnswer: 50313660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)\/t)\/t)**(-46\/7)\/((t**(-3)\/t)\/(t\/t**(-8))))\/(((t*t\/(t\/t**1))\/t)**(2\/35)*t**(-2\/5)*t**(-4)) assuming t is positive.\nAnswer: t**(1297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b - 3. Let k be (-20)\/(-6)*(-6)\/5. Let a be v(k). Let x = a + 11. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {x: 1, e: 2, u: 3, r: 2, d: 3, f: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7 and 67\/127496838.\nAnswer: 127496838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 827553672 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24 and 272.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00334896911 to 7 dps.\nAnswer: 0.003349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 101. Let g(b) be the first derivative of -b**3\/3 + 728. Give r(g(p)).\nAnswer: -3*p**4 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 599200 rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = d - 4*d. Put -3, d, -2\/13 in decreasing order.\nAnswer: d, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274638 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.2. Let y = 74.29 - 1.29. Let g = 72 - y. Which is the third biggest value? (a) g (b) -1\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 118 + 748 = -45*g. Suppose 4 = 4*c + 2*i + 98, 2*c + 2*i = -48. Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 6. Let d(u) = 3*u - 5. Let p(s) = -6*d(s) - 5*n(s). Let c(t) = -16*t. What is p(c(o))?\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16*7*(60\/35 - (-5)\/(-7)). Solve g - 4 = -18*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q + 1. Let x be s(-1). Let u = -3 - x. Suppose 4*i = -2 - u. Which is greater: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + -4 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -26. Solve 6*y - 18 = c*b + 2*y, -b = -4*y + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5880*a*m - 188*a - 1 wrt m.\nAnswer: -5880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:11 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -407, 4, -0.3, -4, 0.3, 18.67?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 - 14*i**2 - 3*i**2)*(i + 0 + 0) + 14*i - 14*i - 25*i**3 in the form f*i**2 + n + o*i**3 + l*i and give o.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 284*g**2*i**3 + g**2*i + 95*g*i + 44*i**3 + 171383*i wrt g?\nAnswer: 568*g*i**3 + 2*g*i + 95*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9006267040624.999998179 + -9006267045097. Let g = b + 4472. What is g rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1404 or 1398?\nAnswer: 1404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*j + 80 = 0, r = 2*j - 0*j + 20. Let d = 6 - 2. Calculate the lowest common multiple of r and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 0.369.\nAnswer: -1.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -47. Let d = -26 - h. Calculate the smallest common multiple of d and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 2408, 19.8 in decreasing order.\nAnswer: 2408, 19.8, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/(-70))\/(5\/((-1260)\/27))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*c - 27, 45*w + 5*c = 37*w - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5963*r**2 - 15*r + 1. Let a(s) = -447*s. What is f(a(x))?\nAnswer: -1191461067*x**2 + 6705*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(0*n + n - 2*n) - n + 0*n + 2*n)*(-2*n**2 + n - n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 128\/(-414) + (-24)\/(-276). Sort 2, -33, h.\nAnswer: -33, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 - -272. Let p = -20138779 + 20138952.99919. Let k = u - p. What is k rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 8:36 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(343) - sqrt(343)*3))*-1)**2*1.\nAnswer: -140*sqrt(7) + 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 96. Let i = -27 + a. What is the remainder when i is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001476 rounded to 6 dps?\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 4*x - 826 + 273 + 279.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) - -3*-1*sqrt(4)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2806560 = -19462*v - 9773*v for v.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6375?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znxz when four letters picked without replacement from xnzxzxxxxxxxxxn.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.0000026 - 9. What is p rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(2 - z - 2) + 8*z - 339*z + 51*z.\nAnswer: -282*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -2. Let u = -3 - -7. Suppose 2*t + 2*g + 4 = 0, g + 2 = -u*t + 3. Is t >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 7 + (-3 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*u + 55 = 0, 6*n - 5*n - 25 = -3*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 4*o - 4. Let z be (28\/(-84))\/(1\/9). What is l(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -17, -3\/2 in ascending order.\nAnswer: -17, -5, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1831*j + 2*i + 3*i + 167 = 1832*j, -11*i = 3*j + 383 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2622 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + -19.3. Let q = -13.5 + h. Let v = -38 - q. Round v to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - o - 10 = 0, -o - 4 = -0*o. Let k be 1\/(-3)*(-3)\/w. Which is bigger: 0.3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55794872 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 35*b + 993. Calculate the smallest common multiple of 120 and k(-27).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-19*(-3)\/(-6). Solve 2*u + u + f = 5*n, 2*u = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from {g: 1, j: 2, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11211 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = q + 2*b - 13, -5*b = -2*q + 33 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 122 - -2462?\nAnswer: 2584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let n = 88 + -138. Let j be 260\/n - (-1)\/5. Put 6, o, j in increasing order.\nAnswer: j, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -2*x + 53, 4*g + 800*x - 797*x = 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/12600 - q**6\/3600 + 7*q**4\/12 + q**3\/2 + q + 4. Let w(b) be the third derivative of s(b). Factor w(o).\nAnswer: o*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - i**2 - 9*i**2 + 8*i**2 + 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 41. Suppose -2*k + v*s = -0*k - 182, 0 = 3*k + 3*s - 252. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 10*n - 12*n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11214 and 12460?\nAnswer: 112140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:06 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 449921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 = 0, 0*l = 3*l + 4*a + 238. Let t = l - -78. Solve 3*w - 2*b + 4 = t, b - 9 = 3*w - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 + 8714*j**2 + 157626*j - 551250 = 0. Calculate j.\nAnswer: -21, 3, 4375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, 1\/4, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 966.73041ns?\nAnswer: 0.000000000011189009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1098\/(-305))\/(72\/400)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 31*w**2 - 3*w - 3. Let v be o(-2). Let h = -52 + v. What is the highest common factor of 30 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + -39 + 425 + -427.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7*c = 0, -5*o + 5 = -4*c. Suppose 3*q + q - 32 = -5*y, -q + 4*y = -29. Let s be (4\/(-5))\/(1 + q). Is s at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) - (sqrt(833) + (3 + sqrt(833) - sqrt(833))*-2)**2.\nAnswer: -869 + 91*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -85, -191, -277, -337?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 3. Suppose 0 = 8*o - 108 + 148. Let f = 5 - 3. Let j(r) = f + r - 5 + r. Determine o*j(s) + 6*c(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104, 373, 816, 1427, 2200?\n\"Answer: -b**3 + 93*b**2 - 3*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/6 + 2*x**2 - 2*x. Let y be l(4). Solve -1 = v - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 61*o + 500. Calculate a(-51).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) -0.22 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 + 574. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.29 and -2.3.\nAnswer: 42.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + 5*l + 6*l)*(-3 - 1 + 3)*(l**3 + 5*l**3 - 3*l**3) as v*l**4 + a*l**3 + u*l**2 + o + t*l and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2482 + -96. Suppose -5*t - 4*x = -2574, 4*t + 334 - i = -5*x. List the prime factors of t.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73872 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5741454l?\nAnswer: 574.1454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5914 and -0.33814.\nAnswer: -1999.75996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let o = 307\/2 + -166. Let z = 12 + o. Which is the closest to z? (a) q (b) -5\/4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 j when three letters picked without replacement from jssjjjsjssjsjjjs?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 + -26. Suppose -2*d + 24 = 5*b - z, 4*d + 8 = 0. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/3 - 2060*i**4\/3 + 14344*i**3\/3 - 22516*i**2\/3 + 3410*i = 0 for i.\nAnswer: 0, 1, 5, 1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 329*h + 3. Let a(u) = 6*u**2 - 660*u + 7. Determine -2*a(f) + 5*t(f).\nAnswer: -2*f**2 - 325*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 9. Let h = -7 - -10. Let g = h + -12. What is the remainder when 52 is divided by x(g)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/((-9)\/(-18))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.6 - 0.6. Let w = -9.2 + i. Let u = 6.91 + 0.09. Is u not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329262 and 546.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8352 - 808734.\nAnswer: -817086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*h - 477*h - 243*h + 115*h to u + y*h and give y.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.814167.\nAnswer: 0.3256668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:50 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 35*y - 7. Let m = 127 - 126. What are the prime factors of i(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 38*u**2 + 118*u + 23. Let t(i) = -12*i**2 - 39*i - 8. Let b(o) = -2*k(o) - 7*t(o). Let c be b(-4). Is -10 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - s**4 - s**2 + 2 - 2 + 3*s in the form g*s**4 + n + z*s + t*s**2 + y*s**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -a - 2*w, 3*a - 2*w = -0*a + 88. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3261008653\/7631 - -427337. Let r = l - -969209\/91572. What is the common denominator of -13\/20 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825584 divided by -76066?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 298980163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 17*i**2 + 11*i - 20. Let s be x(9). Let m be (2 + s)\/(-1*(-1)\/(-1)). Solve -5*c + 3*c = m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhghgqgshgphhhgghhgg. What is prob of sequence ghph?\nAnswer: 56\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6014*v**3 - 6014*v**3 - 266*v**5)*(10 - 14 + 8).\nAnswer: -1064*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*2\/1*11\/(-44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7662.036 - 7646. Let g = -0.036 + w. Let k be 1\/(-2)*(0 - -1). Which is the closest to 1? (a) g (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a944b (base 15) in base 12?\nAnswer: 257622b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -17*l + 118. What is f(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c\/c**7)**(-45)\/((c*c**(-4)*c*c)\/(c*c**(1\/3))*(c*(((c**(-2\/3)*c)\/c)\/c*c)\/c)\/(c\/((c\/c**6)\/c))) assuming c is positive.\nAnswer: c**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1286 and 24570.\nAnswer: 27729.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6391755 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*l = l - 11, -4*u + 1042*l = 1037*l - 19 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 364 + 169 = -s, -4*s + 1036 = 4*g. Suppose -4*a + 10*a - g = 0. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(114) - (-2*sqrt(114)*-1 + sqrt(114)))\/sqrt(6)*-4)**2 + -1.\nAnswer: 4863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4 - 10 - 15*k + 16*k. Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 + (0 - -3) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-725)\/(-35) - (-2)\/7. Suppose -4*x + 24 = -i - 69, 4*i + 4*x + 392 = 0. Let j = -34 - i. What is the highest common divisor of j and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 * -110860.4.\nAnswer: 41018.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 355005887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 3*t + 3*t)*(-1 - 1 + 4) + (-t - 3*t + 2*t)*(-7 + 7 - 27) to the form s + u*t and give u.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Suppose b*j = 5*q - 197, -2*q = q - 2*j - 117. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23615, -25, 7.\nAnswer: -23615, -25, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 10. Differentiate 5*r + 6 - q*r - 2*r wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127951958 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, r: 1, l: 2, x: 3, m: 1}. What is prob of picking 1 h and 1 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:06 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 + a - 2. Let z = -14 + 16. Calculate k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {c: 2, n: 1, i: 3, s: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 47*f**2 + 7*f - 17. Let w(n) = -n**3 - 7*n**2 + 3*n - 17. Let d be w(-8). What are the prime factors of h(d)?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 61. Suppose -5 - 102 = -p + 3*u, -a*p = -5*u - 216. What are the prime factors of p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3bc6da + -4?\nAnswer: -3bc6de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21006 is divided by 20752.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184909*o**3*u**2 - 2*o*u**2 + o*u + 177*o + u - 5 wrt o.\nAnswer: 1109454*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 1, j: 2, n: 3, o: 1}. Give prob of sequence xo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 53 - c - c**2 + 4*c**2 - 4*c**2. Let n(r) = r**3 + 4*r**2 + 4*r + 3. Let y be n(-3). Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10185368 or -10185341?\nAnswer: -10185341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/6 + 3*r. Let s(k) = k. Calculate s(p(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 280*t**2 - 1003 + 1003 + (4*t - 3*t + 0*t)*(-t - 4*t + 4*t) + (1 + 2*t - 1)*(t - t - t) - t - t**2 + t.\nAnswer: 276*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2550249?\nAnswer: 3, 13, 71, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*o**2 - 68*o - o**3 - 170*o**2 + 68*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59\/135 - 1\/27. Let f = 323 - 331. Let w be -62*(-3)\/390 + f\/20. Which is the second biggest value? (a) 0.1 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from hjhjjjjh.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2939879449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2659*1967\nAnswer: -523.0253","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53054 is divided by 17598?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.043*1310\nAnswer: -56.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, j: 2, m: 7, g: 3, u: 3}. Give prob of picking 1 j and 3 u.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48631\/(-7) - ((-80)\/(-14) + -6). Let s = 11332 + a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*l + 169*l = 342*l - 81. Solve 3*c + 25 = -4*z, -5*c - 11*z - l = -8*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 36*a + 19*a - 38*a + (2 - 4 + 1)*(4 - 4 - 2*a) + 6*a - 3*a - a in the form o + q*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/3)*y*y)**(1\/38)*y*y**(2\/23)*y*y**(1\/4)*(y**0)**(-30)*y\/y**4*y\/((y**(1\/3)\/y)\/y) assuming y is positive.\nAnswer: y**(10967\/5244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 42 = 4*f - 0*f, 10*h - 56*f - 6 = -h - 54*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4701 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-65)\/((3 - 1) + -1) + 3. Let h = j - -151. Let l = h + -44. Calculate the remainder when l is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849186.\nAnswer: 2, 37, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -3, 1\/3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33.43906 * 0.083\nAnswer: 2.77544198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2049\/14 - -293\/2. Factor -y*m**3 + 0*m**2 + 2\/7*m**4 + 0*m + 0 - 1\/7*m**5.\nAnswer: -m**3*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*b + 4, -5*b = -2*f - 2*f - 36. Solve o - b*o - 17 = 4*l, 4*o + 11 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u**2 - 3*u - 4. Suppose 0 = -y - 1, 5*x = 4*x + 2*y. List the prime factors of v(x).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523334 is divided by 8440?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*(-18)\/(-378)*-1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 7. Let v be 7098\/98 - 9\/21. Calculate the highest common divisor of q and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from qpqppppppqq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/1*((-522348)\/304)\/87?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3875 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2616*x + 2202. Calculate z(-2).\nAnswer: -3030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + 2\/6. Suppose w + 104 = -u + 12, 280 = -3*w + u. Let t = 88 + w. Put z, t, -3 in increasing order.\nAnswer: t, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11 + 9 - 43*j + 60*j**4 + 1 wrt j.\nAnswer: 720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 81 = 2*y + 8*x, 3*x - 44 = -y. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889628203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 22*m + 48*m - 10*m**4 + 27*m - m**2 - 97*m to h*m**3 + u*m**2 + c*m**4 + v*m + s and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + s - 3 + 4*s + 0*s - 5*s + (2*s + 0*s - 4*s)*(2 - 2 + 1) + (-1 + 1 + 1)*(s - s + s))*(-3 + 1 + 3).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -3\/7 (c) -0.1 (d) -2 (e) 4 (f) 1\/4 (g) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 13 + 11 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + 135\/6. What is the tens digit of 7\/(21\/9) + t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + l)*(11 + 9*l**3 - 19 + 3) - 3*l**4 + 5*l - 5*l.\nAnswer: 15*l**4 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(16\/10)\/(4\/10). Suppose 218 = 3*x - 10. Calculate the remainder when x is divided by f*(-3 - 38\/(-4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419 * 0.971\nAnswer: 406.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 0.3 (c) 0.22 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1036 divided by -6.\nAnswer: -518\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 471977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4313, -17540, -39589, -70460?\n\"Answer: -4411*a**2 + 6*a + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 39*w - 1229. Let n be q(39). What is the highest common divisor of n and 1606?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times -1.3?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -752 divided by -4.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 2*v - 30, 2*v + 22 + 13 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -6. Let z = f + 11. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.6 + 173.6. Let b = v + -331.3. Let m = 113 + b. What is the second biggest value in m, 0.4, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10387181*j**2*y**2 + 116*j*y**2 - 74*j*y + y**2 - y - 1 wrt j.\nAnswer: 20774362*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sohshsssihai. Give prob of sequence hoa.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -23651\nAnswer: 1655.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 1, p: 10, t: 2, m: 6}. Give prob of sequence mppc.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64851679 is divided by 21617226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*s + 386, -15 = 5*n - 5. Let i = s - -161. Suppose 4*x = -5*m + 453, 2*m + 2*x = -107 + i. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*u = -16, 3*n - 20 = -0*u - 5*u. Let k = n + 3. Let a be (-21)\/(-6) - (-2)\/4. Solve a*p = k*m + 35, -p - m + 10 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nri when three letters picked without replacement from nrijy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 8}. Give prob of picking 2 n and 1 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, -0.1, -0.4, 0.01 in increasing order.\nAnswer: -2, -0.4, -0.1, 0.01, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-9 - (-8 - -7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1200320 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*r + 3437 + 35441 = 3324*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = t + t - 29, 0 = -5*t - 5*r + 35. Let u be (-57 - 22400\/(-392))\/((-4)\/(-14)). Sort t, -5, 2\/17, u in increasing order.\nAnswer: -5, 2\/17, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 98 + 2*f**2 + 69*f + 92*f - 255*f + 94*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -956, -862, -736, -578, -388, -166?\n\"Answer: 16*a**2 + 46*a - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30526.29s to nanoseconds.\nAnswer: 30526290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-10)\/(160\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6620*p**2 - 84*p + 842068 wrt p?\nAnswer: -13240*p - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/15)\/((p\/p**(-4\/15))\/p))**(-12) assuming p is positive.\nAnswer: p**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/72 - 7 - (-19)\/(1938\/(-119)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = 16662 - 18093 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*v - 188, 7*w - 5*v - 290 = 2*w. Suppose -2928*h + 2950*h = 396. What is the greatest common divisor of h and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680, -698, -746, -836, -980?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6 - -2)*(-2 + 10472\/5185)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 5*q = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2 - -4?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1453173*o**4 - 14*o**2 + 2*o**3 - 1 + 1453171*o**4 + 13*o - 8*o as l*o**4 + h*o**2 + q*o + a*o**3 + v and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22.6 * -107\nAnswer: -2418.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 24\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1, 5, -20\/31, 0, 4\/7?\nAnswer: -20\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115052952.\nAnswer: 2, 3, 7, 331, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14165788*t**3 + 8723120*t wrt t.\nAnswer: -84994728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 70*s - 1161. Calculate v(78).\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4806 - 4578. Let d = -7303 + -52313. Let o = k - d. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 times -1\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5\/2 - 783*j**4\/2 + 13925*j**3 + 29412*j**2 = 0.\nAnswer: -817, -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/345 and 50\/69.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 5, 5\/6, -1148, 5\/2, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41, -83, -125, -167?\n\"Answer: -42*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/120 + v**5\/60 - v**4\/12 + v**3\/2 + 91*v**2. What is b(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + j**3 - j**4 + (-3 - j + 3)*(-3*j**3 + 3*j**3 + 2*j**3) + 0*j**3 + 0*j**3 - 2*j**4 + (j**3 - 3*j**3 + 0*j**3)*(2 - 2 + j).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (sqrt(125)*1 - sqrt(125))*-3 - (-2*sqrt(3200))\/sqrt(10))**2 - (5 + (2 + sqrt(80) + 0 + 3)**2).\nAnswer: -40*sqrt(5) + 2095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53703800 rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 301533, 301854, 302175, 302496, 302817, 303138?\n\"Answer: 321*u + 301212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.014 * 11826.5\nAnswer: 165.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3399687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4628479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228 - 2*u + 5*u + 198 to the form t + q*u and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*l - 45, 4*m + 6 = 4*l - 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 8*g - 2. Let s(a) = 4*a**2 - 9*a + 2. Let d(y) = 3*p(y) + 2*s(y). Calculate d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Find the second derivative of -3*q + 5*q - 5*q**4 + 8*q**i wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6298506029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 3:22 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**8\/56 - o**5\/60 - 7*o**2. Find the third derivative of h(s) wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27659431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 46396*v. Let a = 83 + -78. Let s be t(a). Suppose -m + s = 5*x - 678019, -4*m = -x + 182004. What is x rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -317062, -316655, -316248, -315841?\n\"Answer: 407*d - 317469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002600 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26555993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*u**6 - 25*u**4 - 259*u**2 wrt u.\nAnswer: 1200*u**3 - 600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*o - 14. Suppose m = 3*n - 4*n + 73, o*n + 5*m - 152 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 0.013, 0.3?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2. Let r(j) = 2*j**2 - 605*j + 1. Give r(d(p)).\nAnswer: 18*p**4 + 1815*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 14. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279382.8 rounded to the nearest 1000?\nAnswer: 279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836080.1ml to litres.\nAnswer: 836.0801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t = 3*t + 6237. Does 98 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -17.09. Let o = 0.09 + s. Let t = -3.686 - 0.314. Which is the biggest value? (a) -2 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18896 - 0.06104. Which is the fifth biggest value? (a) 1 (b) p (c) -0.1 (d) 14 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Let u be 0 + 2 - -2 - q. Suppose -4*v = -u*v + 8. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 80145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7589294.\nAnswer: 2, 3794647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 + l**3 - 3*l**3 - 2*l**2)*(l + 2*l + 0*l).\nAnswer: -6*l**4 + 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*x + 28 + 15, -5*x + 9 = 2*n. Suppose 5 = -3*m + 2*v, -v - 3*v = 3*m + n. Let k(l) = 3*l - 6*l**2 + 2 + l**3 - 3 + 11*l**2. What is k(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -239, 20, -1, 5, -8 in descending order.\nAnswer: 20, 5, 3, 2, -1, -8, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174085833 + -1.03?\nAnswer: -1174085834.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2 + v + 3 + 19 - 3. Let u be x(-7). Calculate the greatest common divisor of 70 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*p = -12, -p = 4*p + 25. Put 2, t, -3 in ascending order.\nAnswer: t, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 3*n, w + 2 = 2*n + 10. What is the second derivative of -62*y**2 + 35*y**2 + w*y**4 + 3*y**5 + 44*y + 27*y**2 wrt y?\nAnswer: 60*y**3 + 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 + 8*m**2 + 12*m + 5. Let n(i) = 5*i**3 - 16*i**2 - 23*i - 9. Let q(x) = 7*h(x) + 4*n(x). Let c be q(-7). Let y(s) = s - 11. Calculate y(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 417078386, 417078384, 417078382, 417078380?\n\"Answer: -2*u + 417078388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73201 - -195214. Is k\/(-14)*14\/(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5567\/8645 + (-40)\/65\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-2 - 1)) + -28 + (-10 - -28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 + 24597*m - 8603280 = 0.\nAnswer: -8535, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-120)\/9)\/(-10)*(0 - 1). Which is the nearest to y? (a) 0.1 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*h + 1 = -4, -3*h + 3 = -3*y. Let g(n) = n**2 + 1 - n - n - n + 7*n**3. Is g(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 21. Which is the smallest value? (a) h (b) -2\/31 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*l + 62 = 141*l - 98 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-3 - 0) - 3. Suppose w + c*w = -57000. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -0.165?\nAnswer: -0.02475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 4003 - 2*d**2 + 7*d + 0*d**2 + 3*d**2.\nAnswer: d**2 + 4*d - 4003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 - 77. Calculate the highest common divisor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487292858 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 42073 = 42625 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, 3\/7, -0.3, -573, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18806811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14586452 divided by -247228\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3670 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*z + 40*z**3 - 41*z + (3*z**2 - 2*z**2 - 2*z**2)*(-3*z - z + 5*z) to the form d + g*z**2 + j*z**3 + o*z and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlkvkrxx. Give prob of picking 1 r, 1 m, 1 v, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b - 21. Let v be y(-2). What is the third derivative of 82*u + 88*u - 170*u - 2*u**2 - 30*u**5 + v wrt u?\nAnswer: -1800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 13*h - 33. Let q(b) = b + 11. Let t be q(h). Let n = t + 135. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171204)\/(-370942))\/((-2)\/(-260))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-73)\/2*-2 + -1. Let k = 144 - g. Suppose -154 = -j + 26. What is the greatest common divisor of k and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - q - q - 4 + (5*q + 2*q + 20*q)*(-1 - 3 + 3).\nAnswer: -29*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -544 greater than or equal to -544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5401 times -1.5?\nAnswer: 8101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59048 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/19, 3, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172665 and 9180?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3799*b + 151888. Calculate s(-40).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15915127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 508912*i - 8650348.\nAnswer: -4*(i - 127211)*(i - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1) - 1 - (5 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2179*n = 2199*n - 620 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 48*j + 843. What is p(17)?\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*g + 17 = -5*l - 209*g + 3, -7*g = -3*l + 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1496 <= -1502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -1346253 (b) -2\/23 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2. Let t(f) = -6*f**2 - 8*f + 11497. Determine t(w(m)).\nAnswer: -24*m**4 - 16*m**2 + 11497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)\/(b\/((b\/b**(4\/5)*b)\/b)))\/((b\/b**(-3))\/(b\/b**(-26))) assuming b is positive.\nAnswer: b**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3684 - -3912. What is the greatest common factor of 969 and q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19640 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6470*u**3*x**3 - 35433*u**3 - 2*u*x**4 wrt x?\nAnswer: 19410*u**3*x**2 - 8*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 357 + 1123. What is the greatest common divisor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 - 113321*v**2 + 113321*v**2 + 7.\nAnswer: -10*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -16. Suppose 6*f - f + j = 0. Let b = 8\/3 - 3. Is f greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 35.05163mg?\nAnswer: 0.03505163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7582363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2697, 10643, 23887, 42429, 66269, 95407, 129843?\n\"Answer: 2649*d**2 - d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -25.\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*j + 1001, 0 = -0*j - 3*j. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -4 + 0 - -1 - -1*8 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-3*(-4)\/12. Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let x(d) = -3*d**2 - 9*d - 5. Let n(g) = 5*l(g) - x(g). Let w(z) = -4*z**2 - 3*z. Determine -3*n(v) - 4*w(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141140 + -2010?\nAnswer: -1143200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 407, 438, 471, 506, 543?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 2. What is the second biggest value in v, -1\/2, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 347?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 z when four letters picked without replacement from zppppccpcpzwcz?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18.2622414 and 0.39?\nAnswer: 18.6522414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s**(-2\/5))**(2\/13)*s**(3\/5)\/(s*s**(-2\/17)*s*s)*(((s*s**(3\/7))\/s)\/s)\/(s**(-2\/7)*s) assuming s is positive.\nAnswer: s**(-35453\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2 + 11*u - 2. Determine a(5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -16. What is the second derivative of 57*b**k + 1606*b + 16*b**2 - 1669*b wrt b?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37813 - 2.1?\nAnswer: -2.47813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -463 + 463.08. Let f = -3 + 6. Which is the biggest value? (a) s (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-924))\/(1260\/(-3744)) + 3\/(-11).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 10*w - 11*w = 16, 4*w = -5*n - 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 25*g - 172 = 8 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 - (40 + 6) - (-8 + 0)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**2 - 2*u - 78. Let s(i) = -i + 1. What is -h(x) + 3*s(x)?\nAnswer: -8*x**2 - x + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 2*z - 1. Let q be i(1). Let t(u) = u**2 - 5*u + 4. Let p be t(q). Find the second derivative of 3*v**2 - 3 + p*v + 2*v + 3 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21777, -21769, -21761, -21753, -21745?\n\"Answer: 8*f - 21785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/9)*n*n)**6\/(n**(-1\/5))**6 assuming n is positive.\nAnswer: n**(188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.3+-0.5662\nAnswer: 0.7338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**25)\/a))\/a**(1\/3) assuming a is positive.\nAnswer: a**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 307867 = -2*b, -4*b + 184715 = n + 2*n. Suppose -21165 = -4*g - n. Let d = g - -141329\/14. Calculate the common denominator of -101\/6 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akwvk. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -17*a**5\/5 + 20*a + 1. Differentiate q(z) wrt z.\nAnswer: -68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2. Let i(t) be the first derivative of 0*t**3 - 2 + 1\/12*t**4 + 0*t - 3*t**2. Let o(j) be the second derivative of i(j). Calculate o(s(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 804, 3, 5 in ascending order.\nAnswer: 3, 4, 5, 804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 1\/4, 11\/1065, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4508 = -4*p + 4*a, 33*a = -p + 37*a + 1109. Calculate the remainder when p is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffxxufffffxux. What is prob of sequence ux?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.46 + 0.53. What is the nearest to 0.1 in 0.1, 2, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 7. Let q be z(6). Let c(o) = o**3 + 5*o**2 - 6*o + 4. Let i be c(q). Suppose -26 = -5*y + i. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7944 (base 16) in base 3?\nAnswer: -1120120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 1. Let h(v) = -5*v - 76. Give -h(z) - 6*k(z).\nAnswer: -z + 70","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 12:18 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -276, -244, -188, -108?\n\"Answer: 12*r**2 - 4*r - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 987 divided by -6799\nAnswer: -987\/6799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 1000021110211?\nAnswer: -1000021111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 40*p - 90. Let j = -0.025 - -4.025. Which is the second biggest value? (a) -8 (b) 0.2 (c) j (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*v**5 + 44180*v**4 + v - 584675.\nAnswer: 140*v**3 + 530160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246*k**2 + 145*k**3 - 63*k**3 - 1245*k**2.\nAnswer: 82*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31034 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -54840 and -54838 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 997 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a centimeter in millimeters?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1497 - -4489\/3. Suppose 0 = 2*p - 6*p + 24. Let s be (2\/p)\/((-8)\/6). Sort b, 0.3, 3, s in descending order.\nAnswer: 3, 0.3, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**2\/2 - z. Let o(t) = 2*t + 2. Let r(w) = -6*n(w) - 2*o(w). What are the prime factors of r(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4675, 10735, 16795, 22855?\nAnswer: 28915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(4\/4*2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12922152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287809?\nAnswer: 449, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 43*b**2 - 20*b + 2. Give l(2).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14820 (base 10) to base 5\nAnswer: -433240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 605 and 1089.\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8815 - 8814.999995517. What is f rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 591677123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*6915 + 3\/((-6)\/8). Round m to the nearest one hundred.\nAnswer: 34600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by -74.\nAnswer: 81\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -4*i**3\/3 - 7*i**2\/2 + 2*i - 2. Calculate the remainder when 9 is divided by x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/270 + ((-70)\/18 - -1). Let c(q) = q**3 - 3*q**2 - 3*q + 3. Let b(d) = 2*d**3 - 6*d**2 - 5*d + 5. Give m*b(g) + 5*c(g).\nAnswer: -g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + (sqrt(208) - (sqrt(208) + sqrt(208) + -1 + sqrt(208) + sqrt(208))) + -1)**2 + sqrt(208) + sqrt(208) + (1*(sqrt(208) + 0))**2.\nAnswer: 8*sqrt(13) + 1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 67. Calculate the least common multiple of 42 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:27 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + 6.85. Let r = -7.35 + h. Let s = r - -0.69. Round s to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -13, 0.1, -2\/7, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20256*s**2 + 65 - 20232*s**2 - s + 0*s as w*s + t + d*s**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4)\/(-12)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7721731?\nAnswer: 137, 157, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/3*o**3 + 820\/3*o**2 + 2738 + 15503\/3*o.\nAnswer: (o + 37)**2*(11*o + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34344 - -1?\nAnswer: 34345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**2 - 1. Let b(y) = -4*y. Determine d(b(l)).\nAnswer: 144*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 130 = -3*w, m + 4*w = 5*w - 26. Let s(u) = u**2 + 32*u + 158. Let c be s(m). Suppose 0*t - 2*t + 12 = 0. Solve t*d - 16 = c*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*94\/(-5875)*25*(-8)\/(-1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24875207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 10:36 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(15*p**2 - 4*p**2 - 14*p**2) + (2*p**2 - 4*p**2 + 3*p**2)*(5 - 2 + 1).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*j = 5*i - 314*j + 78, 0 = -2*i - 2*j - 32 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -307 + 378. Let f = a + -71.1. What is the nearest to f in -5, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 - -148. Let p be 30\/7 + -1 + j. Factor 0 + 2\/7*h**2 - 2\/7*h + 2\/7*h**3 - p*h**4.\nAnswer: -2*h*(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + -1 + 0 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74093567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 10257777*g**3 + 26305492116543*g**2 - 26305502374321*g.\nAnswer: g*(g - 1)*(g + 5128889)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8072 - 8034.41. Let b = 46.3 - 8.3. Let g = r - b. Round g to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 373805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 49*n**2 - 1. Let t be k(-1). Let x = 70 - t. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -51. Let q be ((-10)\/(-8))\/((-196)\/(-96) - i). Let y(g) = -g**2 + 3*g. Let h(x) = -x. Let f(a) = q*h(a) + 5*y(a). Factor f(r).\nAnswer: -5*r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124141431 (base 5) in base 10?\nAnswer: 615241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -1 + (1 - 2) - (16187 + -16186)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -459 - -771. Calculate the highest common factor of 39 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*y - 7*y - 32*y)*(1 + 1 - 3).\nAnswer: 35*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 + 5*g - 3. Let d(n) be the first derivative of -79 + 2\/3*n**3 - 3\/2*n**2 + 2*n. Give 5*d(f) + 3*m(f).\nAnswer: f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*l - 500*l + 417*l + 21966 = -90438 for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r - 60. Let v(p) = -5*p - 61. Let y(m) = 6*a(m) - 7*v(m). Calculate the remainder when 83 is divided by y(22).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p = -89*p + 194803. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from hphuquh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 90\/(-35))\/(-14). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*o + 470701 = 0, 4*o - 313742 = -166*u + 164*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 1\/4*i**5 + 7\/6*i**3 - i - 1\/30*i**6 + 24 - i**2 - 3\/4*i**4. Factor s(t).\nAnswer: -(t - 2)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16185 is divided by 1155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 4. Let i(b) = b - 2. Let u(v) = 9*i(v) + 4*n(v). Let o be u(6). Solve -2 = -o*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -4*x, 0 = -2*k + 2*x - 0*x - 2. Suppose 4*p - 18 = 5*g + 12, -4*p + 20 = 0. What is the units digit of ((-15)\/k)\/(g\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1502, 3005, 4508, 6011, 7514?\n\"Answer: 1503*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 4, -5, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -8603687?\nAnswer: 8603676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102923?\nAnswer: 19, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/1386 and 157\/1008?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1 - (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/5131 and -9\/7.\nAnswer: 5131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -731*u**6\/6 + 28*u**3 - 658. Find the third derivative of b(c) wrt c.\nAnswer: -43860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d + 7*d + 21564 = 0. List the prime factors of d.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20355 divided by -345.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - s = -6839, -1415 - 3698 = -3*c - 4*s. What is the highest common factor of 29 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17645961?\nAnswer: 3, 601, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*o + 3)*(-4 + 4 + 2*o**3) + 7*o**4 + 15*o**4 + o**4 + (2*o + 6*o - 5*o)*(-4 + 4 - o**3).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 15*n**2 + 25*n + 23. Give v(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*s - 499*s - 584*s + 1579*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 >= -1556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(99)*-1)\/sqrt(9) - sqrt(11)) + (-1*sqrt(77))\/sqrt(7) + 5)*4.\nAnswer: -12*sqrt(11) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/5))\/b)**43*(b*b**0*b*b)**30*b*b\/(b\/(b*b**(1\/3)*b))*b*b*b**(2\/3)*b*(b**(1\/4))**(-14) assuming b is positive.\nAnswer: b**(763\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2aa56 (base 12) in base 8?\nAnswer: -165542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.80147 less than -0.2048?\nAnswer: 2.59667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-10))\/((-1)\/(-5)) - -6. Suppose -t*j + 2*u - 87994 = -j, -12 = 4*u. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 + 10738. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 168*l - 8. Suppose -33 + 29 = -4*t. Let j be b(t). What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9700 = 52*l. Calculate the remainder when l is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19 + -18 - ((-146)\/12 + -5) and 127\/2172.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 231753361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -37. Is 2634\/6 + 2*y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 7*k + 33. Let u = -5 - k. Let g(r) = 2*r + u*r**2 + 2*r - 4*r. Let a(s) = -2*s**2. Give g(a(o)).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 27082*o + 1408246. What is r(-52)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 27*p**2. Let o(x) = 5*x**2 - 330*x - 72. Let v(a) = -9*a**2 + 661*a + 120. Let r(n) = 5*o(n) + 3*v(n). Calculate r(s(g)).\nAnswer: -1458*g**4 + 8991*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*z + 17 = -11, -2*z + 6 = -2*l. Let n(f) = f**2 + 4*f - 8. Does 8 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 + 2. Suppose -3*z + 0*p - 3*p + 18 = 0, 4*z - 4*p = 16. Let w be j(z). Let x(q) = -4 + 4 + w*q. Let s(a) = 5*a. Calculate x(s(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32792440*c**5 + 330232529*c wrt c?\nAnswer: -655848800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9560, -38130, -85732, -152366, -238032, -342730?\nAnswer: -466460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y - 18 = -5*s, 4*y = -s + 10. Solve -2*p + 4*p = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/23 + 1070*s**2\/23 + 241112*s\/23 + 240040\/23 = 0. Calculate s.\nAnswer: -170, -1, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k. Let t be -2 - -2 - (-12)\/(-2). Let s = k - t. What is the lowest common multiple of 10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s. Let c be s - 0\/((-6)\/(-2)). Suppose 0 = n - 0*n - 4. Solve 0*w + n*w = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 + -3?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-54))\/(77\/(-242) + 6\/(-33)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5921, -5731, -5489, -5195, -4849, -4451?\nAnswer: -4001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 26*m + 139. Let j be ((-672)\/280)\/((9\/(-10))\/3). Let d be l(j). Let t = 0 - 0.1. What is the closest to -2 in t, d, -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1393\/12 - 116. Let u = 1\/6 + z. Which is the nearest to 1? (a) -0.2 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3514650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 5*b**2 - 1 - 1)*(385*b**2 + 92*b**2 + 10*b**2).\nAnswer: 974*b**4 - 974*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/15)*t\/(((t\/(t**3\/t*t)*t)\/t)\/t)*t**(-4\/3)*(t**14\/t)\/t)**(-5) assuming t is positive.\nAnswer: t**(-233\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) + 136\/208. What is the nearest to -1\/4 in -2, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130.5 - 36284660999.\nAnswer: -36284663129.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*n - 4. Let i be (-4)\/n - 9\/60. Let w = 19381\/5 + -3876. Is i at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.2. Let a be ((-6)\/(-10))\/(((-675)\/10)\/(-15)). Which is greater: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1461306 and 144837.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27867 divided by 1\nAnswer: -27867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -102. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2 + 6)*1. Let u be (-28)\/(-10) + 1\/l. What is the units digit of u*1 + 12 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 26*i**2 - 6*i + 2 - 12*i**2 - 10*i**2. What is the remainder when u(-3) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16807*i*o**3 - 6*i*o**2 - 18*i*o wrt o?\nAnswer: 100842*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 43732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8512*s - 79*s**3 + 8512*s)*(0 + 0 + 1)*(-2*s - 2*s + 2*s) as a*s**2 + p*s**3 + j*s**4 + h*s + y and give j.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37145766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363152 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - h**2 - h - 6. Let y be z(0). Let t(a) = a**2 + 12*a + 7. Let r be t(y). Let s = -23 - r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + -1*sqrt(22))*-2 + (sqrt(22) - (1*sqrt(22)*-3 + sqrt(22))))\/(((sqrt(396) - -1*sqrt(396)) + sqrt(396))*4).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*(d\/d**(2\/13))\/d)\/d**(-26))**(-15\/7))**(-4\/13))**43 assuming d is positive.\nAnswer: d**(900420\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 10. Let c be (-42)\/(-6) + v + 63395. What is c rounded to the nearest 1000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1664, 1621, 1496, 1247, 832, 209?\n\"Answer: -7*i**3 + i**2 + 3*i + 1667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1142 - 282. What are the prime factors of k?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134 in 2, 0, 58, -10, 1?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - 12*l**2 + 2*l + 8. Let g be d(11). Suppose -2*u - 4*i + 271 = -g, -2*u - i = -2842. Let z = -841 + u. What is z rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.282457 litres to millilitres.\nAnswer: 4282.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013925389 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465, 466, 467?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -7. Suppose -5*z + g + j = 0, 0 = 4*z + z + 2*g - 30. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/693 - (3 + (-61)\/21)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4853?\nAnswer: 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1534*j - 3 + 2 + 1530*j + 5 + 0.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 389550 bigger than 389569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/8 and 151\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -714*u + 731*u - 153 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - p - 1. Let g(x) = -24*x**2 - 2*x + 1. Determine g(a) - 2*j(a).\nAnswer: -28*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + c - 18, 5*c + 12 - 36 = -3*q. Calculate the common denominator of 6\/q + (-214)\/(-24) and -11 + (-520)\/(-72) - 4\/(16\/12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/175 - (-18)\/(-54)*(-18)\/14.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35 - (-7 + 8) - (2 - 2). Let m(h) = h**3 - 35*h**2 + 32*h + 148. Let g be m(b). Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -261*a**3 + 33*a**2\/2 + 6*a + 593. What is the second derivative of k(d) wrt d?\nAnswer: -1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-1190) + 2\/(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/120*44 - -1 - 3. What is the second smallest value in c, 58, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 11:01 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -434.\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 8*y**6\/3 - 37*y**2\/2 + 15*y - 5. Let d(x) be the first derivative of r(x). Differentiate d(t) with respect to t.\nAnswer: 320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -g + 21, 5*w - 65 = -5*g + 2*w. What is the greatest common factor of 520 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 2 - 2 + (s + 1 - 1)*(2 - 5 + 2) + (-6*s + 2*s + 0*s)*(-4 + 3 - 5) + 2*s + 3*s - 4*s to the form x*s + v and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 2*w = -34, 4*i - 12*w + 15*w = 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (3 + -3)) + -1 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287018202?\nAnswer: 2, 3, 1229, 38923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -y + 2*t, -754*t + 28 = 2*y - 752*t. Suppose -2*c + 165 = 3*c. Calculate the least common multiple of y and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -y + 9, 7*r - 2*r - 4*y = 29. What is the third derivative of -h - h - r*h**5 + 2*h + h**2 wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -692406 divided by -18.\nAnswer: 38467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155 a factor of 327334406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 63*h**3\/2 + 70*h. Let n(a) = -a. Calculate n(y(r)).\nAnswer: -189*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*t - 174. Suppose 0 = -0*i - 3*i. What is the remainder when t is divided by 15 + i*-1*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n = -82*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1831 by -2.\nAnswer: 1831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 3. Let q be r(1). Let w(i) = 5*i + 3 - 4 + q. Let l(g) = g**2. Calculate w(l(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 6*s + 10. Let a be z(7). Suppose -5*j + 3*h = 244, -5*h - 40 = -2*j - 149. Let i = a - j. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62154051.\nAnswer: 3, 20718017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1379.397 - 1321.48. Let t = -142 + 200. Let r = h - t. What is r rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225728 and 21863873.\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 75, 123, 171, 219?\n\"Answer: 48*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -42 + 10 + -10 + (0 - 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168763\/36 - -4688. Let u(w) be the third derivative of 1\/30*w**5 - 2\/9*w**3 + 0 + 0*w + 2*w**2 + l*w**4. Solve u(o) = 0 for o.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -59, 4, -0.2, -8\/3, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30169362.622633 less than -1?\nAnswer: -30169363.622633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 932*p - 936*p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/7 - 77776*w**3\/7 + 7919280*w**2\/7 - 269098304*w\/7 + 3048889888\/7 = 0?\nAnswer: 34, 38786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 417 - -3*2\/(-6). Suppose 3*v + n - 3*n = 629, -2*n = -2*v + z. Suppose -4*l + v = -5*f, -74 = -l - l - 4*f. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 2\/15*o**6 - 3*o - 1\/3*o**4 + 0 + 0*o**2 + 0*o**5 + 0*o**3. Find the third derivative of b(c) wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:46 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-53 - -64) + -17.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*p**2 + 2*p - 2*p - 927*p**2.\nAnswer: -753*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((56\/9)\/7)\/(156\/117).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 264967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143565198 and 392.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20763, -20650, -20537, -20424?\nAnswer: -20311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 567279 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 2*z**2 + 2. Let q be t(2). Let v = 938 + -942. Let r be v - (-4 + -2) - 16. Is q greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + (3 - 2) + -4 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 1147?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*h, -11 - 30 = -2*t - h. What is the second derivative of 4*o**5 + t*o**5 - 20*o + 18*o**5 - 61*o**5 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/5 of a minute?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 7) to base 8.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamwtfty. Give prob of sequence wy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1176700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 124547057 to the power of 1\/2, to the nearest integer?\nAnswer: 11160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -555*o - 135*o + 97*o + 24313 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28\/11 + -179\/66. Let v = 15 + -25. Let o be 1*(v\/(-4))\/(-5). Which is the second smallest value? (a) o (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9. Let l = -11 - -18. Let x(d) = l*d - 4*d - 4*d + m*d. Let g(n) = -n**2. Determine g(x(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.9 - 23. What is the closest to q in -1\/2, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6664448 from 1.664.\nAnswer: 6664449.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151591.00004 - 151598. Let x = 7 + z. What is x rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.683 - 9.6835997. What is f rounded to 5 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 1)*(-12)\/162. Solve -2\/9*i**4 + 0*i + 0*i**2 + 0 - v*i**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 4*g**2 - 4*g. Let h be (-26)\/143 - (-92)\/22. Give r(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-3)\/(0 - 1). Let q(d) = d**3 - 3*d**2 + 2*d + 1. Let t be q(2). What is the third smallest value in t, n, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 1684 + 1684.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d**4 - 3*d**3 - 27*d**2 + 3*d + 12.\nAnswer: 3*(d - 1)**2*(d + 1)*(5*d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(3)*-3)\/(1*sqrt(4)*-1).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-45))\/((-1)\/3). Let d be (63\/(-126))\/((-1)\/(-16)*-2). Which is the smallest value? (a) p (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 = 2. Solve 12 = r*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67.27 + 67. Let g = t + -0.03. Which is the closest to 1? (a) -2\/3 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 6*w - 3. Suppose l + 4*l = -35. Let n be k(l). Solve -i = -n*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-1*-1 - -2*(sqrt(567) + -1)) + (-2 + 2*sqrt(567) + sqrt(567)*2 + 5)*4)**2.\nAnswer: 3420*sqrt(7) + 204787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/9 and 23\/13047.\nAnswer: 39141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 + 2*p - 2. Let z(n) = 12*n**2 + 5*n - 5. Let m(r) = -5*x(r) + 2*z(r). Let v(c) = -54*c. Calculate v(m(f)).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + u = 6, 3*u + 9 = 5*s + 27 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Suppose b + 2 - n = 0. Let s be (0 - (5 - (-51)\/(-9)))*3. Solve -b*v - 2 = 0, -s + 1 = -2*f - 3*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - 14?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1147316 and 1746.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 4:44 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -274 + 286. Suppose -m + 9 = -3*h. Let u(l) = 9*l**2 - 5*l - 4. Let k(z) = -z**2 + z + 1. What is h*u(g) + 5*k(g)?\nAnswer: 4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -21*b - 21*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 21, -7 in increasing order.\nAnswer: -7, -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 33. Suppose -v + 2 = -p. Suppose 5*d - 3*d = v. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6875544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 263 + -166. Let r(h) = 0 + 0 + b*h**2 - 28*h**2. Let m(u) = -u. Calculate m(r(n)).\nAnswer: -69*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2 + 68*i - 323. Let q be p(5). Suppose -198 = 2*n - q. What is the least common multiple of n and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 + 5*s + 4. Let c be u(5). Let v(l) = -3*l**2 + 48*l - 20. Let j be v(15). Solve -5*h = 3*k + j, -5*h + 8*k + 10 = c*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -13662065380?\nAnswer: 13662065379.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 2*b + 1\/3*b**3 + 0*b**2 - 1\/4*b**4 + 0. What is the second derivative of s(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 113623506, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Suppose a*y + 23 = 503. Suppose x - 129 = -3*m - x, -5*x = -5*m + y. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 8*b - 5. Let w(c) = c + 6. Let f be w(6). Let i be f\/(((-8)\/(-32))\/((-2)\/12)). Determine k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 30843683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 14. Suppose 3 = 7*a - p. Let b = 0 + 1. Calculate the remainder when b is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, -48, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.063 + -15.137. Let f = 0.3 - 15.3. Let n = f - s. Which is the nearest to -1? (a) -2\/5 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 33 - (8 + -44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 13768831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7504 divided by 7?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181*l - 4*l**2 - 181*l - 3 wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 20380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 39*r - 16. Suppose -p = 3*l - 61, -5*l = 4*p - 111 - 0. Let q be t(l). Find the common denominator of 10\/q + 13\/(-2) and 27\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2360\/16 + (-1)\/2. Let m(u) = 2*u**2 - 95*u + 1087. Let p be m(14). Does d = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10299135 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 335*m**3 + 1 wrt m?\nAnswer: 1005*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let n(a) = -a + 1 + 0 + o + 0. Let g be 0\/1 - (0 - 3). Calculate n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3+-130\nAnswer: -131.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -13*h**5\/70 + 43*h**4\/126 + 16*h**3\/63 - 276*h**2 + h. Solve z(v) = 0.\nAnswer: -2\/13, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1758660, 1758548, 1758436, 1758324, 1758212?\nAnswer: 1758100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 4. Let s be v(3). Which is smaller: s or 51\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 - o. Let w be c(1). Suppose -u + 6 = -5*v, -25*u - 39 = -20*u - 2*v. Let s = w - u. What is the nearest to s in -2, 3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-4)\/125)\/(12\/(-30))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*(-30)\/(-65)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 14*t - 2. Let s be r(-14). Is s < -59\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1569*l - 10*l + 1661*l + 1753*l + 2930*l as k + u*l and give u.\nAnswer: 4765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161560797 is divided by 900?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*n + 214 = -1250. Solve h = 4*q - n, 5*q = 8*q - 2*h - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203 - 3*n + 0*n - 198)*(-3 + 0 + 4).\nAnswer: -3*n + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 - a - 1. Let r be p(-4). Let s = r + -3. Let i be ((-3)\/(-1 + -5))\/(12 - 14). Which is bigger: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21190?\nAnswer: 2, 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1332 - 34?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Let v = -2 + 4. Suppose -10 = -107*d + 55*d + 354. Solve 4*r + 3 = 2*b - d, -s*b = -v*r - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:58 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a factor of 243373853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 98970 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 161*z. Let g(a) = 34077*a**2. Give v(g(l)).\nAnswer: 5486397*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4387, -8802, -13219, -17638, -22059, -26482, -30907?\nAnswer: -35334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7023 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**8\/2184 - o**7\/273 - o**6\/78 - o**5\/39 - 5*o**4\/156 - o**3\/39 + 3*o**2. Factor j(x).\nAnswer: -2*(x + 1)**5\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6617517.\nAnswer: 3, 2205839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 - -156. Let f be (20\/w)\/(2\/(-3)). Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = 8 + 80. Factor -p**2 - x*p**3 + 195*p - 26*p**2 - 405 + p**3 + 0*p**3 + 48*p.\nAnswer: -3*(p - 3)**2*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326073 = -797*p - 394615 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -67 - (-3 + 5). Suppose 0 = 5*k + i + 2*i - 86, -3*k + 2*i + b = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 575072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51355 (base 6) in base 12?\nAnswer: -3b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -9184.\nAnswer: 3673.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**3 - 4*d**3 - 16*d**3 + (0*d + 3*d - 2*d)*(-d**2 + 5*d**2 - 3*d**2) - 4*d**3 + 3*d**3 + 2*d**3.\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g**2 + 175*g + 181*g + 1 - 5*g**3 + 5*g**3 - 355*g - 11*g**4 to the form k*g**4 + r*g**3 + v*g**2 + p*g + d and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 179.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2646 by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116820.\nAnswer: 2, 3, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64096880923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lprlp. Give prob of picking 1 p and 1 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -2*((sqrt(2) + sqrt(20)\/(sqrt(10)*1))**2 - (sqrt(4)\/sqrt(2)*6)**2)).\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysseejysyes. Give prob of picking 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmmm when four letters picked without replacement from cmgcwmccmmcwmmgccmm.\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 16.24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 28*f**2 + 153*f - 130. What is the tens digit of h(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 divided by -2029?\nAnswer: 339\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7020 - 16*x + 39*x - 173*x - 79*x.\nAnswer: -229*x + 7020","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 0*h + 3 - 2 + 2*h - 3*h**2. What is the least common multiple of 7 and z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303034193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, c: 5, z: 2}. What is prob of picking 2 z and 1 d?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2433*s**3 + 11*s**2 - 9*s + 19. Let o(c) = -809*c**3 - 4*c**2 + 3*c - 6. Let p(d) = 8*o(d) + 3*r(d). Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -70, 2, 5, 1, -0.03, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 7*r**2 + 9*r + 66. Let s be l(-7). Let k be (-10)\/(-12) + 13\/78 + s. Solve 2*f + 5*b + 8 = 0, 3*f + k - 3 = -2*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464944 divided by 464944\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9)*b)\/b*b*b)**29*((b*b\/(b*b\/b**(-2\/9))*b*b*b)\/b*b*b)**21 assuming b is positive.\nAnswer: b**(1294\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 3) + 2*-1)*63000\/(-3000).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6*c = -c - 21, 5*n - 4*c - 134 = 0. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5\/8 + 1415*j**4\/8 - 9991*j**3\/4 - 28849*j**2\/4 + 52961*j\/8 + 23307\/8 = 0?\nAnswer: -3, -1\/3, 1, 17, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42789*l**3 + 1420*l**2*n**2 - 674*l*n + l - 14*n**2 + 700 wrt l?\nAnswer: 256734*l + 2840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2 + 0*n + 3 - 2*n + n. Let h be p(7). Let g be (h + 1)\/((-6)\/12). Solve 5*a - g*d + 25 = 0, -a - 13 = -0*a - 2*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, x: 1, j: 1, e: 1, k: 2}. What is prob of picking 1 e, 1 v, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let d(x) = 5479*x**2 + 6097*x**2 - 10893*x**2. What is r(d(n))?\nAnswer: 932978*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 = -5*g + 10, -3*g + 6 = -l. Solve x - 4*u = -13, 2*u - 14 = -g*x - 0*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1)\/(32 - 33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14627216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 157, 425, 811, 1321, 1961, 2737, 3655?\n\"Answer: h**3 + 50*h**2 - h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g - 4. Let m = -4.1 + -0.1. Let h = -0.8 + m. What is the third biggest value in 4, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 9*n - 9612 + 5*n - 22*n.\nAnswer: -n - 9612","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 669, 771, 865, 945, 1005, 1039, 1041, 1005?\n\"Answer: -c**3 + 2*c**2 + 103*c + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i**3 - 17*i - 3. Let q(o) be the third derivative of -o**6\/20 + o**4\/3 + o**3\/6 + 40*o**2 + 2. What is -9*q(g) - 4*u(g)?\nAnswer: 2*g**3 - 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - 3997\/(-21))*3.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/515 and 18\/67.\nAnswer: 34505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -30. What is the third biggest value in m, -2, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -15, -42, -91, -168, -279, -430, -627?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:46 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttcccgt. Give prob of sequence tcct.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 2*g + 75 - g**4 - 6*g - 73 + g**2 as j*g**2 + s*g**4 + c*g**3 + t + b*g and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1977*v - 102436. Calculate u(52).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10167278.\nAnswer: 2, 11, 462149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 0.4. Let l = 1.4 + b. Let z = l + -1.3999848. Round z to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w - 119*w + 1483089 - 388729 = 0. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022258 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -136\/169, 2, -1\/4 in ascending order.\nAnswer: -136\/169, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/5)\/((a\/a**(1\/5))\/a))\/(a**(-6)*a**0))\/(a**(-3)\/(a\/a**(-4)))**(-1\/27) assuming a is positive.\nAnswer: a**(154\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -2, -0.6 in descending order.\nAnswer: -0.6, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**5 + 15224*k**4 + 20*k**3 - 1139118*k**2.\nAnswer: -120*k**2 + 365376*k + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*i = 93*i - 62*i + 2278 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45069 + -31930. What are the prime factors of v?\nAnswer: 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 45*b**2 + 168*b - 180.\nAnswer: 3*(b - 10)*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 q when three letters picked without replacement from qblbblqblqllb.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*o + 20*o - 172 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16318.\nAnswer: 2, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 34 in descending order.\nAnswer: 34, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*x - 12 - 24 = 0, 43 = 5*k + x. What is the common denominator of 51\/10 and 5\/30*444\/k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q - 29. Give o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -58*c + 1. Let a(d) be the second derivative of d**3\/2 + 1386*d + 3. Give n(a(u)).\nAnswer: -174*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/6 - 16*v**3\/3 + 163*v**2 - 1152*v + 4293\/2 = 0. What is v?\nAnswer: -53, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/8)\/(-3))\/(-165 + (-918633)\/(-5568)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115 and -5?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - -103?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26293084 and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/118 and 33\/8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -44.6. Let x = -5 + m. Let w = 3740 - 14961\/4. Put w, 4, x in increasing order.\nAnswer: x, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 37565?\nAnswer: 150260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 6*v**2 - 5*v + 5. Let i be b(5). Let k be 3\/2*(-8)\/(-3). Suppose -6*n + k*n = -4. Solve -2*z - 10 = i*s, z + 2*s + n = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 427 = x, -x - 3 = -0*x. List the prime factors of c.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 52 = -23. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*u = -3*s + 40, u = 5*s - 69. Let x = 21 - s. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/(1\/12). Let f = v + -5. Solve -f*a - 14 = 5*q + 4, -5*a = 5*q + 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2)\/((-6)\/(-1934)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 14. Let l = a + -6. Let i be (17\/(-6) - (3 - 2)) + 4. What is the third biggest value in 1\/2, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + 110100?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -2, -5.\nAnswer: -80, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 + 0*d**5 - 2*d**5 + (2*d**3 + 0*d + 0*d)*(d - d - 5*d**2).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 138*u + 71. Does 5 divide g(45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/17 in 0.1, 70, 5, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 495352237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 57. Let i(p) = -p**2 - 12*p - 6. Let t(q) = -2*q**2 - 22*q - 11. Let o(z) = 11*i(z) - 6*t(z). What is o(m(r))?\nAnswer: 4*r**2 + 228*r + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89*k*l*m**2 - k*m**2 + 128*k*m - 35*k - l - 275 wrt m?\nAnswer: 178*k*l*m - 2*k*m + 128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18800733 + -3?\nAnswer: 18800730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 9*a + 9 = 0. Let j(f) = -4*f**3 + 5*f**2 - 2*f - 3. Let b(r) = 3*r**3 - 4*r**2 + r + 2. Let n(x) = -3*b(x) - 2*j(x). What is n(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709 + 668 - 43*v + 5*v - 14*v to b + d*v and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, 4, 17.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*x + 163*x**2 - 105*x)*(5*x - 11 + 11).\nAnswer: 815*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:41 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1622*c**2 - 1622*c**2 - 59*c**3 - 386*c**3.\nAnswer: -445*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 16 = -2*k - 9*g, 0 = -2*g + 8. Which is the nearest to 4? (a) -5 (b) k (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w + 72. Is 17 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/((-14)\/(-84))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/8)\/((-287)\/(-142) + -2) and -62\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(5\/2)*q*q\/(q\/(q*(q**(1\/6)\/q*q)\/q*q*q))*q**(-2\/47)*q**(7\/2) assuming q is positive.\nAnswer: q**(2855\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.8, -2, 240\/37829 in descending order.\nAnswer: 3, 0.8, 240\/37829, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, h: 1, x: 2, z: 1, i: 2, m: 2}. Give prob of picking 1 v, 1 h, and 1 i.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -7*w**3\/3 + 13*w**2\/2 + 7*w - 66. Let s(z) = -10*z**2 + 19*z + 10. What is -7*k(j) + 5*s(j)?\nAnswer: -j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 41076.\nAnswer: 5\/41076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270640*k + 714 = -270634*k for k.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 2. Let j(v) = -28*v**2 - v**3 + 15*v**2 + 13*v**2. What is -j(h) + r(h)?\nAnswer: h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100 times 0.6\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2305322 (base 6) to base 13.\nAnswer: 4183a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5027*n = -1806*n - 1344*n + 1391*n - 665028 for n.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/182 and 41\/17836?\nAnswer: 17836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 1.7. Which is the nearest to 2? (a) j (b) 3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193\/14 - -27\/2. Sort p, -0.2, -2\/5, 5 in descending order.\nAnswer: 5, -0.2, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.98. Let d = -2.98 + z. Let b = 5.0414 - 0.0414. What is the biggest value in 3, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v - 2 - v**2 + 2*v**2 - 5. Let y(h) = -3*h**3 - 24*h**2 + 3*h + 18. Let s be y(-8). What is t(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 891*n**2 - 38328*n + 71869. Determine q(-397).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Suppose -5*s + 8 = -j - 0, 4*j - 2 = 3*s. Let p(h) = 10*h**2 + s*h**2 + 6*h**2 + 3*h**2. What is p(n(u))?\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/32 + 25\/(-8). Which is the smallest value? (a) f (b) -1 (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 19 = 3*z - 14, x + 47*z = 43*z - 6 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53022 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*n - 4*n - 8*n + (-4 + 2 - 7)*(-2*n + 5*n - n)*(3 - 4 + 4).\nAnswer: -79*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 8*z**2 - z + 5. Let a be h(8). Let x be (-4)\/(1\/a*-3). Let t = -4 - x. Find the common denominator of -14 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + r - 4*r + 12. Determine q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 48. What is the biggest value in 1, k, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 3*w**2 + 8*w - 7. Let u be n(-5). Let g(s) = -s**2 - 6*s + 6. Let t be g(-7). Sort u, t, 0 in ascending order.\nAnswer: t, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 142*p - 20. Let r be u(5). Suppose 3*q = -r + 3837. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.65 + 5.95. Which is the second smallest value? (a) g (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5 + 4*y - 3 - 3. Let b(s) = 0*s - 5*s + 2*s + 2*s. Let a(l) = -6*b(l) - 2*u(l). What is a(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.5. Let i = o + -0.14. Round i to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(7515\/(-135) - -21)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/561251 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614628011 to the nearest integer?\nAnswer: 24792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**4 - 738*a**3*z**3 + 35*a**2*z + 30*a*z**3 wrt a.\nAnswer: 72*a - 4428*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8336852.\nAnswer: 2, 83, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*(6 + -8). Suppose -16 = -4*n + 3*w + 20, -3*n - 4*w + 2 = 0. Let j be (((-15)\/2)\/5)\/(9\/n). Sort -4, 0, j, m.\nAnswer: -4, j, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*h - 366 + 2*h**2 + 180*h - 78*h + 171*h = 0 for h.\nAnswer: -183, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/7, -5, -34, -3\/31, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 874051, 1748124, 2622193, 3496258, 4370319?\n\"Answer: -2*f**2 + 874079*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 + 19 - (0 + -29). Solve 7*c + 0*c = s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28*833\/1190.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-6 - (-14 + 8) - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 6 - (11 + -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011639 rounded to 6 dps?\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 37*g**2 - 34*g + 252. Give h(18).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17275434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38700\/59 + 656. Let d = 161\/236 + o. Factor d*a - 1\/4*a**2 - 1\/2.\nAnswer: -(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(567) + 1)*-1 + (sqrt(567) + -1)*1)*-4)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (-4)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 j when four letters picked without replacement from {j: 4, z: 14}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 68*g + 1. Suppose 2*j + 3 = 5*j. Let m be u(j). Suppose 2*i + 11 = m. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, -1653, -100, 0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/5, 3\/8, -760, 7, 1, -4 in decreasing order.\nAnswer: 7, 1, 3\/8, 0.3, -2\/5, -4, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 60 = 3*c. Suppose -5*p + 10 = 0, x = -x - p + c. Suppose -29 = x*r - 2*w - 179, 0 = -5*r + 5*w + 150. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 54*b + 48. Let t(u) = -18*u - 16. Let g = -67 + 59. Let w(m) = g*t(m) - 3*v(m). Differentiate w(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7775.277 weeks to milliseconds.\nAnswer: 4702487529600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17098928 divided by -777224.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26\/11 or -12\/35?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 225228 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69)\/21 - 4\/(-14). Let w(m) = -m**3 + 5*m**2 + m + 1. Let f(n) = n**3 - 5*n**2 - 2*n. Let l(p) = s*w(p) - 2*f(p). What is the units digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.4 (b) -1\/2 (c) 2.4 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.886 minus -8284881?\nAnswer: 8284768.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 22*l - 61. Let p be u(24). What is the common denominator of 12\/28 - (-349)\/(-14) and (p\/6 - -3)*84\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6612 divided by -25319\nAnswer: -6612\/25319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 28550405, -1 in decreasing order.\nAnswer: 28550405, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -35*c + 9*c + 12*c + 76. List the prime factors of s(-5).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -4*w**3\/3 - 5*w + 7. Find the first derivative of c(a) wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -44, 1\/3, 6\/5, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let x(c) = -2. Let n(t) = 2*o(t) - 2*x(t). What is the first derivative of n(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3622 + -3593. Solve -18*v + 55 = -q*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 times -3385\nAnswer: -632995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.6394 months to decades.\nAnswer: 0.846995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -489, -0.76?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 0.066833.\nAnswer: 0.166833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18))\/((-1038)\/(-3114))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*d - 1417, -5*d + 47 = k - 672. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.11 - 0.11. Let x = 6.6 - g. What is the nearest to 1 in x, 5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(77\/80113)*(-12)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16109 and 111161.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 - -4.900195. Round u to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134564 is divided by 2324?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41753 by 1779.\nAnswer: -41753\/1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2144*n**2 - 1095812*n - 14336. Calculate v(1303).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -191949 and 0.47?\nAnswer: -90216.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18334 = 7*n - 895. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 24. Let n = p + 56. Suppose -h = 8 - n. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70145, 278185, 624919, 1110347, 1734469, 2497285?\nAnswer: 3398795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 18*y**2 - 4*y - 1. Suppose 0 = -9*b + 8*b - 2*g - 5, -1 = 5*b - 2*g. Give w(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090714 to the power of 1\/5, 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 iiiiixiiiiiixiiiii. What is prob of picking 3 i and 1 x?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64507.13 micrograms to milligrams.\nAnswer: 64.50713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 18 + 69 - v.\nAnswer: -v + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/47 - 67\/235. What is the nearest to 0 in -2\/7, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 83 = 2*s. Suppose -s*d + 80*d = 0. Solve -5*k = -d + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193 + 274. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from pjhcfzhfczzzjhfjjp?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 - m + 1. Let d be v(2). Let h(t) = 2*t**3 - 3*t**2 - 4*t - 1. Calculate h(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a factor of 880138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*t + 14 = 2, -3*h - 2*t + 10 = 0. Find the third derivative of 453*s**h - 399*s**2 - 28*s**4 + 89*s**4 wrt s.\nAnswer: 1464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (5*1*(sqrt(70) - 3*sqrt(70)))\/(1*sqrt(40)*-6).\nAnswer: -1 + 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-15 + 1 + 34 + -28) - 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 65.12614 millimeters?\nAnswer: 65126140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-54)\/8)\/((-378)\/52063200). What is o rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 16*y**2 - 695934*y - 7047972 = 0?\nAnswer: -81\/8, 43506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -391 = -1022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7808.3 decades?\nAnswer: 780.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 87 = -u. What is the highest common factor of 624 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 142587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1 + 0*r**3 + 2*r**3 - r**2 - 3*r - r**3. Suppose 178 - 262 = -12*k. Let h(l) = l**3 - 3*l**2 - 28*l + 3. Let t be h(k). Determine o(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8*c = 60, 4*c + 49 - 88 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2\/27*r**3 - 3 + 4\/9*r**2 + 2\/3*r. Factor x(a).\nAnswer: 2*(a + 1)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 23552.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 140 = -2*a + 42 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 497\/12 - (-2)\/8. Let n = m + -41. What is the nearest to -1 in 2\/13, 2, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -363, 1889, 2\/3, 5\/6.\nAnswer: -363, -1, 2\/3, 5\/6, 3, 1889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*(-176)\/8580*9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12384 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j = -132*j - 186*j + 10909376. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from pqnpqpjpplpplppqpppj.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/20*(-38)\/57)\/(-12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7))**(-17\/4) assuming b is positive.\nAnswer: b**(119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = 5*l - 226, 3 = 3*l. Suppose 8*m = 59 + v. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p**2 - 47*p + 47*p)*((0*p + p - 3*p)*(1 - 1 + 2) - 3*p + 4*p + 0*p) to j*p + r*p**2 + k*p**3 + z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27498 + 70278 = 3516*b - 35988 - 44292 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 1, g: 7, l: 2, s: 1}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-88)\/(-33))\/((66\/((-21)\/(-7)))\/1).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37185 and 19.\nAnswer: -706515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/19 in 0.3, 1, 2\/1671, -14?\nAnswer: 2\/1671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52425.61 millennia in months?\nAnswer: 629107320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -388*v**3\/3 - 39*v**2 + v - 2575. Find the second derivative of z(d) wrt d.\nAnswer: -776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/7 + 1)\/(0 + 24\/924). Solve -97 = 69*q + r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 - r + 1. Let w be c(-6). Suppose -3 - w = 2*l. Let j = -51\/2 - -25. Sort l, -0.1, j in increasing order.\nAnswer: l, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4323*c + 432320. What is v(-100)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to -1889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 3204 = -26*b - 218*b. Suppose -2 = p - 18. What is the lowest common multiple of b and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57087 divided by 23?\nAnswer: 57087\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0) + 5 - 8\/8. What is the third derivative of 6*d**2 - 14*d**o + 23*d**5 - 55*d**5 wrt d?\nAnswer: -1920*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23872, 47739, 71618, 95515, 119436, 143387, 167374, 191403?\nAnswer: 215480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*2 - sqrt(132) - sqrt(132))*1)\/(-3*-1*sqrt(12)) + 2*(-2*sqrt(176) + -2 + (sqrt(44) + sqrt(11))**2).\nAnswer: -17*sqrt(11) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 - -110?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 189 = -68. Let l(r) = -r + 4. Give l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*116*(-37 + (-32893)\/(-888)).\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/5324505 and 64\/51375.\nAnswer: 133112625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 - 3*x - 17. Give k(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10023915 - 10023915 + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -370 + 526. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255.17 - 262.17. Let f be 96\/(-190) + (-4)\/(-10). What is the third biggest value in u, -5, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q - 1. Let r be 0 - -1 - (-2 - -6). Calculate the remainder when g(r) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230 and 322?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/3 - 6*y**2 + 46\/3*y.\nAnswer: -2*(y + 1)*(9*y - 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:21 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmffkkfm. Give prob of picking 1 m and 1 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 302*y - 2760 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-2*j**4 - j + j) + 108*j**4 + 44*j**4 - 21*j**4.\nAnswer: 137*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjnff. What is prob of sequence xnf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/5)\/(((-24)\/970)\/3) and -7\/74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9135 = -75341*n + 75544*n for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - -6*sqrt(208)*2) + -1*(0 + sqrt(208)) + 0)**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*b + 24*b + 252 = -11*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(19))**2*6.\nAnswer: -24*sqrt(19) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -142*n. Let h(l) = 4*l**2 - 3*l + 3. Let g(a) = 9*a**2 - 7*a + 7. Let y(x) = 3*g(x) - 7*h(x). Calculate y(i(j)).\nAnswer: -20164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83\/3 + 27. Let a = 20.6 - 21. What is the closest to -1 in o, a, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 40. Let c = i - 17. Solve 3 = 5*a + 5*t - c*t, -5*a + 2*t = -7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 44\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 21631*h**2 + 44*h + 39. What is the hundreds digit of v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421946350 to the power of 1\/2, to the nearest integer?\nAnswer: 73634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.1, 426, -2\/15?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 2*q**2 - 1\/3*q**4 - q + 0*q**3 + 0. Factor n(p).\nAnswer: -4*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h. Let y(r) = -3497*r**2 - 8*r - 10. Determine a(y(k)).\nAnswer: 6994*k**2 + 16*k + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - 128. Let p(j) be the second derivative of -g*j + 0 + 0*j**5 - 1\/30*j**6 + 0*j**2 + 0*j**4 + 2\/3*j**3. Find the second derivative of p(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 321104 and 60592.\nAnswer: 173717264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35360 and 3250?\nAnswer: 884000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**2 - q + 2. Let n be z(-1). Suppose -2*m - 86841 = -n*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.3. Let z = 0.4 + -0.4. What is the second smallest value in 2\/7, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.1 (b) -0.5 (c) 4\/49 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53353.8 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i + 61*i + 21*i - 124. Calculate the highest common factor of 454 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4888.71 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2925 smaller than -2930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**2 - 552*y - 7871 wrt y?\nAnswer: -2*y - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295506 - -418551. Let d = s - 1598505\/13. Let v = -19609\/234 + d. Calculate the common denominator of 91\/20 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121 a factor of 669267832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/14 and -99\/10946.\nAnswer: 76622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/4 in -80, 20, 2, -39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.71 + 33.59. Let k = -1.9 - j. Let z = 43 + k. Sort -1, z, 0 in decreasing order.\nAnswer: 0, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*h - 47 = -71, -57 = 19*h for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126400*g**6 + 227*g**2 - 6*g + 5 wrt g.\nAnswer: -15168000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/30 and ((-1)\/(-120))\/(63\/(-13188)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.4. Let x = 1 - j. Let s be (-18)\/(-21) - (3 + -2). What is the smallest value in x, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 163 + -c?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.1. Let j = 16 - 24. Let p = -7 - j. Which is the third smallest value? (a) p (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 - (19 + -15 + (5 - 7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786258062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3 - 1 - 4)*(x**2 - x**2 + 2*x**3).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1076 + 5382\/5. Sort q, -3, -0.1, 4, -9.\nAnswer: -9, -3, -0.1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13890, -13888, -13884, -13878, -13870?\n\"Answer: u**2 - u - 13890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/33 + 86\/6. Let k be m\/(-49) - 4\/(-14). Solve -a + 0*a = k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -54. Is (24 - f) + (2 + -150)\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 10 + 28 - (-56)\/(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60 - 56) + -1 + 1 - 20) + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 11528664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2342042.\nAnswer: 234204.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24531 - -6027?\nAnswer: 31558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-15)*-11 + (-4)\/(-5). What is a in 17*a**2 + 5*a**z - 6*a + 7*a**4 - 3*a**4 - 11*a**3 - 33*a**2 = 0?\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 3:36 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28244 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11161673903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/5*x**2 - 117\/5 + 69\/5*x - 1\/5*x**3.\nAnswer: -(x - 3)**2*(x + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9222 + 9225. Suppose -2*h + 21 - 1 = 0. Sort -5, j, h, 1 in descending order.\nAnswer: h, j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1954*k**6 + 2*k**2 + 15364 wrt k.\nAnswer: 234480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(4) + (sqrt(5) - (-5 + sqrt(15)\/sqrt(3))) + -4 + sqrt(5)*2 + -4.\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {j: 1, x: 2, z: 4, f: 3, b: 4, q: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12398021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1474 + 279*z**3 + 1474)*(-1 + 5 - 2) + (3 - 4 - 2)*(-5*z + 5*z + z**3) to f*z**3 + v*z**2 + t + p*z and give f.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001206467166 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -2, 121\/32?\nAnswer: 121\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*d - 437 = -254*d - 4989 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1022854 and 146122?\nAnswer: 1022854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/20457443 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 3. Let v be z(-8). Let m = -5 + v. Let u = 14 - -10. What is the greatest common factor of u and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833) + (sqrt(833) - -5*sqrt(833))*6 + 0))**2.\nAnswer: 18246032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1827 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7))\/(n**(-1\/20)*n) assuming n is positive.\nAnswer: n**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i. Let t = 19 - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1895, 1883, 1869, 1853, 1835, 1815, 1793?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h. Let d be (8\/14)\/(2\/7). Suppose 0 = 4*r - r - 15. Let w(g) = r*g**2 - 4*g**2 + d*g**2. Give y(w(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*d - 2*t, -3*d + 101 - 21 = -t. Factor 704*n**5 - 152*n**4 - 19*n**3 + d*n**3 - 32*n**4 + 354*n**5.\nAnswer: 2*n**3*(23*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23270 (base 11) to base 9\nAnswer: 51066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1708490 < -1708492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34020615 and 11340205?\nAnswer: 34020615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, -3.\nAnswer: -3, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63680.42 millilitres in litres?\nAnswer: 63.68042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -3, -398, 5 in ascending order.\nAnswer: -398, -3, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03 times -593386?\nAnswer: 611187.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 22 = 2*x, x - 5*y = -y + 14 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 2 = 9*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l)**(-1)*l\/((l**2*l*l)\/l)*l*l*l**(-1\/7) assuming l is positive.\nAnswer: l**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*u - 518 = -2*h, 0 = 3*u + 3. Is h a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9320923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a22711 (base 16) to base 15\nAnswer: -deda58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -224*q - 5. What is the tens digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 4*w**2 - 7*w - 6. Give l(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 274942851 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*d - 153 - 306 + 31 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10640 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 1, q: 2, p: 3, d: 3}. Give prob of picking 2 p and 1 d.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 654731, 1309464, 1964197, 2618930, 3273663, 3928396?\n\"Answer: 654733*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 130286 divided by 176\nAnswer: 65143\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -578 - -4?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-26) + (-602)\/(-26). Suppose 3*i - l = 4*s, 3*i - 10 = s + 25. Suppose -n + 2*b = -11, b + b = -10. Solve -i + n = 2*j - m, j - 2*m = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/28)\/(205\/(-574)))\/((-4)\/(-14)).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (25 - (11 + 3)) - (2 - -3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 5*k + 8. Let j be m(6). Let l(p) = 90*p**2 + 11*p - 13. Let s(i) = 49*i**2 + 6*i - 7. Let d(a) = -6*l(a) + 11*s(a). What is d(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v + 8. Let u = -4.2 - -4. Let p = 30757\/6 + -5126. Sort p, v, u in descending order.\nAnswer: p, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.78 - -0.22. Let b = -8.999852 + q. What is b rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 733970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -32, -92, -194, -344, -548, -812?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2102*z**3 - 52*z**2 + 16*z - 4496. Let w(l) = 1201*l**3 - 29*l**2 + 9*l - 2569. Let o(g) = -16*w(g) + 9*y(g). What is the derivative of o(m) wrt m?\nAnswer: -894*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30594, -122360, -275302, -489420?\n\"Answer: -30588*b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1350334?\nAnswer: -1350335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 729 * 129.867.\nAnswer: 94673.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**3\/6 + 72*u. Let z(l) = 6*l. Let a(b) = -10*x(b) + 2*z(b). Let d(s) = 55*s**2. Determine d(a(w)).\nAnswer: 220*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 14.6. Let x = t - 0.9. Let k be ((-4)\/(-20))\/((-4)\/10). Which is the closest to k? (a) -1\/3 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/4 - 7*q**3\/3 + 3*q**2\/2 - 5*q - 9. Is 12 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3211*j + 6477. Determine f(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - c**2 + 5*c**2)*(-6*c + 0*c + 4*c)*(-4*c + 23*c + 0*c).\nAnswer: -76*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/3 - 2) + 2. Let x be ((-4)\/(-8))\/((-1)\/u). Let v = 7 + x. Solve -25 = -v*d - 5*r, -3*d + 0*d + 17 = 5*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.3 (c) 3\/2 (d) -5 (e) -286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52472 and 17318.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3101 (base 5) to base 3\nAnswer: 112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 - 1 = 0. Let w be r - -4 - (-6 - -14). What is the units digit of (w\/15)\/(1\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(7 + (-232)\/32)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/4)\/((-10)\/(-40)). Let t(h) = 2*h**3 + 4*h**2 + 4*h - 5. Let p(u) = 5*u**3 + 9*u**2 + 9*u - 11. Calculate q*t(d) - 4*p(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2224 - 2224. Is t equal to 7.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -17. Suppose 2*q + 4*d = -0*d + 2, -2*q + 8 = -2*d. Suppose q*t = -27 + 129. What is the remainder when t is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f + 124 = 38*f. Solve -30*w = -f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:20 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*6\/4*(1 + -3). Sort c, 5, -1, -4 in increasing order.\nAnswer: -4, c, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -281*i**3 + 226*i**3 - 345*i**3 - i**3 - i + i + i**3 - 2*i**3 - i**3 + (3*i - 2*i + 0*i)*(3*i**2 - 5*i**2 + 4*i**2) + 2*i**3 + 2*i**3 - 2*i**3.\nAnswer: -399*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*8\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9*a + 15 = 0. Suppose 0 = -h - s - 2, -a*s = 2*h - 1 + 9. Suppose 0 = -0*z - h*z + 190. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-18)\/15*(-30 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.289 - -1.789. Let r = -12 + 15. Let g = 8 - 18. Which is the third biggest value? (a) g (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x*x*x\/(x**(2\/25)*x))\/((x*x*x\/x**(-1\/25)*x)\/x**2) assuming x is positive.\nAnswer: x**(172\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(76))**2 - (sqrt(931) + 1 + sqrt(931) + sqrt(931) + sqrt(931))**2.\nAnswer: -14805 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/6 (c) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*(-9)\/(-90)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t - 7. Suppose 0 = 241*v + 170*v - 1233. Let n(f) = -5*f + 8. Calculate v*n(b) + 2*h(b).\nAnswer: -3*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -5.4482\nAnswer: 0.54482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -5*j - x + 2181, x = 4. What is the highest common divisor of j and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -283*b**3 + 122*b**3 - 438*b**3 + (0*b**2 + b**2 - 4*b**2)*(5*b + b - 5*b).\nAnswer: -602*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*o = 0, 0*g - 4 = -4*g + 5*o. Let y be 2\/g - (-1)\/6. What is the nearest to y in 5, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16429 - 8721. Is a a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40863150 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*x - 65 + 13, 0 = 2*d + 3*x - 12. Suppose 244*r + 4 = 229*r + 49. Solve r*q + d = -0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -245\/2*v**4 + 0 + 5*v + 735\/4*v**5 - 305\/4*v**3 + 10*v**2 = 0.\nAnswer: -1\/3, -2\/7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294358 is divided by 5876?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**3 + 6*i**3 - i**3)*(86*i - 53*i - 1 + i).\nAnswer: 442*i**4 - 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/56088 and -75\/76076?\nAnswer: 56144088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/20 + 4)*(-27)\/(-36). Let q = 170.3 - 157. Let o = q + -13. Put o, t, 4, 1\/7 in increasing order.\nAnswer: 1\/7, o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2715641.\nAnswer: 127, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 79*g**2 + 4*g - 7. What are the prime factors of v(-4)?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 6. Let b be 40\/(-6)*g\/4. Let s = 20 + b. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -3. Suppose 6 + c = 3*b. Suppose 0 = -8*n + b*n + 48. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/18 and (-21)\/56*4\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 9*w - 4*w)*(-3 - 3 + 4)*(-3*w**2 + w**2 + 0*w**2 + (-6*w + 2*w + 2*w)*(5*w - w - w) - w - 2*w**2 + w).\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10110000001001001?\nAnswer: 10110000001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 5*z**8\/112 + 13*z**7\/70 - z**6\/40 - 17*z**5\/20 - z**4\/2 + 2*z**3 - 50*z**2. Let v(w) = 0. Calculate w.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1\/280*f**7 + 3\/80*f**5 - 1\/4*f**3 + 2*f**2 + 1\/32*f**4 + 0 + 0*f - 1\/160*f**6. Solve s(u) = 0 for u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.114 + 21.786. Let o = -24 + n. Let a = o - -2.1000163. Round a to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, 6, 3, -5 in decreasing order.\nAnswer: 744, 6, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1 + 0 + 0)*-3. Suppose 16359 = -3*w + m*u, -2*u + 21830 = -4*w - 4*u. What is the units digit of (-2)\/17 - w\/136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -20*r**2 + 66*r - 6. What is a(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 1.4. What is the smallest value in -1, z, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*s + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3837, 7690, 11555, 15432, 19321, 23222?\n\"Answer: 6*x**2 + 3835*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**3 - 6*l**2 - 2*l + 1. Let u(z) = z**3 + z**2 + z. Let a(p) = k(p) + 4*u(p). Let r(x) = -x**3 - 3*x**2 + 3*x + 1. Determine -3*a(h) + 2*r(h).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82390 and 188320?\nAnswer: 1318240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592793.\nAnswer: 592793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4236\/(-65658))\/(2\/(-62)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*-22.8\nAnswer: -91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - l = 1 - 4, -2 = 4*z + 2*l. What is the second derivative of 7 - 13 + 6 - z*v**5 - 2*v wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/10 - -2)\/((-50)\/1625). Let u be 2\/8 - 573\/(-12). Let i = u - o. Is i at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*f - 1, 4*f + m - 28 = 5*m. Calculate the lowest common multiple of 252 and f.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308015.334 - 0?\nAnswer: 308015.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3131 * 1996\nAnswer: -624.9476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/7 + 846*t**4\/7 + 89030*t**3\/7 - 94134*t**2\/7 - 451984*t\/7 - 269664\/7 = 0 for t.\nAnswer: -212, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdfffjzzjjdp. Give prob of sequence jd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 23*s**2 - 4*s + 4. Let a(p) = 24*p**2 - 5*p + 5. Let f(i) = -5*a(i) + 6*q(i). Let b = 5 + -4. Calculate the remainder when 34 is divided by f(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -6*w - 28. Solve w*a - 14*a + 35 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0)*9\/(-4). Suppose 2*p - 5*p = -l. Suppose 5*u - 12 = p*u. What is the least common multiple of 7 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, r: 1, u: 1, e: 1}. Give prob of sequence rq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 760 = -138*x + 142*x, t = -x + 180. Calculate the highest common factor of t and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-1))\/((-207)\/(-18) - 11). List the prime factors of 2*c*(-1001)\/28.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + 44. Let i = 2245\/33 - o. Let u = i - -59\/231. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Let i(h) = 2*h**3 - 10*h**2 + 11*h - 9. Let q(a) = 8 + a**3 + 6*a - 18 + 5 - 1 - 5*a**2 + 0*a**3. Let d(r) = 3*i(r) - 5*q(r). Calculate d(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44829074 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 1. Suppose 3*z - 4*u = -8, 15 = -3*z - 0*z - 3*u. Let j be (-18)\/z*6\/(-9). Calculate the remainder when 27 is divided by g(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -25)*(16 - -35*3\/(-7))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 702079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 852 divide 123447984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137669689*x**3 + 142732170*x**2.\nAnswer: 826018134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8780 - -9121. What is the lowest common multiple of 310 and h?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 128*f + 6319 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011001100000011010 + 100101?\nAnswer: 10001011001100000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 259+50762809\nAnswer: 50763068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.16 + 1.932. Let w = -9.14 + g. Let z = -5 - w. What is z rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 20*t**2 - 19*t + 7. Let q be p(-19). Let v(r) = r**2 - 4*r - 6. Determine v(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 155\/9 - 2\/9. Suppose 0 = 4*h - 3 - n. Suppose h*l + 17 = -2*s, -2*s + 9 = -s - l. Solve -s*v - 3*i = 2, 0 = -3*v - 5*i - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114\/(-152) - (-108678)\/8.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 42, -3007, 4 in increasing order.\nAnswer: -3007, -4, 1, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:18 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*m - 275*m + 20 = 4*r, -5*m + 2*r = 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 1.105311\nAnswer: 0.605311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, k: 7}. What is prob of sequence kkn?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -8*p + 113. What is the derivative of -36 + p*r**4 - 41*r**4 + 21 - 28 wrt r?\nAnswer: -112*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 13*g + 6*g = -5, 0 = 4*m + 4*g + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 1:54 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7588, 7780, 7982, 8200, 8440, 8708, 9010, 9352?\nAnswer: 9740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2596971995.\nAnswer: 5, 631, 823129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60812635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*15)\/(1 + (-26 - -24))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/30)\/(2\/(-3))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5\/3 - 55*g**4\/3 + 80*g**3\/3 + 380*g**2\/3 - 400*g\/3 - 640\/3 = 0 for g.\nAnswer: -2, -1, 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27058 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 3:05 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 7*v**2 - 10. Let x(h) = -13*h**2 + 42*h - 238. Let q(f) = -11*f**2 + 42*f - 238. Let z(u) = -6*q(u) + 5*x(u). Let k be z(35). What is s(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 24*t - 10*t. Calculate the least common multiple of (7\/(140\/144))\/(6\/t) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 2409?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353032373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97295\/(-725)*(-75)\/(-165)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6130, 3 in increasing order.\nAnswer: 3, 5, 6130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/9 (b) 3 (c) 2\/30515\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9642536301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 21*d**2 - 22*d - 50. Calculate y(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -25, -38, -51?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 4. Let i(t) = 122*t**3 - 37*t**2 - 8*t. Let y(j) = j**3 + 2*j. Let c(o) = f*y(o) - i(o). What is the third derivative of c(p) wrt p?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/3)\/b)**(-50)*b**5\/(b*b**(-2\/9)) assuming b is positive.\nAnswer: b**(-262\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -46 + 12 + 16 - (80 - 0)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 5. Suppose -7*w + 3*w = -20. Let i(u) = 6 + 3*u + 2*u + 0. Let l = -4 - 2. What is l*z(p) + w*i(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.888514 to two dps.\nAnswer: -164.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/20 and -13\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:51 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010011 (base 2) in base 14?\nAnswer: -44b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(111\/(-12) + -5)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = 2*d - 5, -3*d + 4 = -5*q. Let g = 4 - q. Solve 0 = -w + g + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 360491.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(448) - (sqrt(448) + (sqrt(448) + (1*sqrt(448) - sqrt(448)))*4 + sqrt(448)) - (sqrt(448) - (sqrt(448) + -1 + 4 - sqrt(448)))))**2.\nAnswer: -288*sqrt(7) + 16137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 33*r + 378 = 0. Which is smaller: r or -15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n**4 - 26*n - 7223*n**3 + 7219*n**3 + 4*n)*(-1 + 3 + 0 + (4 + 4 - 6)*(-5 + 0 + 3)).\nAnswer: 48*n**4 + 8*n**3 + 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 + 2*m**2 + m**2)*(-29 - 20 + 13)*(-1 - 4 + 3) to i*m + d*m**2 + y and give d.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8670783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k. Let y(a) = 34*a. Calculate y(x(q)).\nAnswer: -272*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 8. Let b = 0.5 + -0.1. What is the third smallest value in b, g, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5061*q = 4256*q + 60375 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187979 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 256, -6 in decreasing order.\nAnswer: 256, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 2)\/(6\/48). Let g = 57 + z. Do g and 3\/16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 23 = 3*x, 3*x = -l - 4 + 11. Let r(u) be the second derivative of l*u**2 - 1\/6*u**3 + 2*u + 0. What is r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**3\/2 + 3*n**2\/2 + 2*n. Suppose 0 = -3*d + 48 - 36. Give q(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let t(s) = -s**2 - 23*s - 46. Give t(i(b)).\nAnswer: -b**2 + 23*b - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -1154?\nAnswer: -19618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 234340312?\nAnswer: 234340306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1682 and 24.\nAnswer: 20184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*-2*-5*sqrt(343)*4*3)**2 + 5.\nAnswer: -1066867195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/299*(-102)\/4 - -4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(5\/10). Suppose 0 = -h*z + z. Suppose -25 = -g - z*p + 3*p, 0 = p + 5. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2158 + -2142. Let m(z) = -z**2 - 2*z. Let c be m(-2). Suppose -5*h + v = 3*r, 2*r + 2*h + 2*h - 12 = c. Solve 0 = 2*f - 3*f + a + 1, -2*a - r = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 15 + (22\/(-121) - 20\/11). Let t(x) = x**3 - 8*x**2 + 9*x - 21. Calculate t(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 321605010?\nAnswer: 321605002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 76*l**2 + 9*l + 14. Let i be v(-3). Calculate the highest common factor of 61 and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160977.03 - 160306. What is s rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - o = -2, -10 = 4*t + 2*o - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3, 4027, 1\/9?\nAnswer: 4027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 - -5901171.\nAnswer: 5901105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 2. Let p = -24 - -27. Let z be (j*(-2)\/p)\/(-34). Is z at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (7 - 19)) + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 4:33 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sstttss?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/113168 and -75\/10527196?\nAnswer: 463196624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - n = 3, 4 = 3*f - 7*n + 5*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 4) + -1 + (7 - (22 - 7))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 2*k + 3*k + (1 - 1 + k)*(4 - 1 - 2) - 2*k + 3*k - 10*k + (-3 + 4 + 0)*(5*k + 4*k - 42*k) to i*k + d and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*f**2\/3 - 387*f + 4955\/3.\nAnswer: (f - 5)*(34*f - 991)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - 3) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 + q. Let o be s(5). Let k = -2403 + 2504. Suppose o*u = -3*i + k, -163 = -3*i - i - u. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6537999*t - 5. Let i be j(-5). Round i to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975 is divided by 886?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:10 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -0.660712?\nAnswer: 1.060712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -10.17, -1, -238\/11 in decreasing order.\nAnswer: 1, 0.1, -1, -10.17, -238\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 357 + -2922?\nAnswer: -2576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00258941107 to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -0.2174.\nAnswer: -19.7826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 40 = 4*y - 0*y, 40 = 3*y + t. Let x(m) = -m**3 + 12*m**2 - 17. Let d be x(y). Does 6 divide (-16)\/4 - -1 - d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b044a (base 12) in base 6?\nAnswer: 14122534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35657949 and 8631?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.274952km to nanometers.\nAnswer: 1274952000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 9*f**2 - 5*f - 3. What are the prime factors of m(8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4888238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 749662409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5592.7 + 6276. Let t = x + -628. Round t to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 28*h - 45. Let l(k) = -13*k + 22. Let f(z) = 6*j(z) + 13*l(z). What is f(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 25*t**2 - 25*t - 31. What is n(26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.2321 times 0.1?\nAnswer: 27.62321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from neuqenubh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 10, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((8\/28)\/((-12)\/56))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/26 and (1 + 3171\/(-56))*(-6)\/75.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116016908 or 116016909?\nAnswer: 116016909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -255 - 1\/3*p**2 - 94\/3*p.\nAnswer: -(p + 9)*(p + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3477 = 3*s + 3495, 18 = 3*l - 3*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803694542.\nAnswer: 2, 7, 57406753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16468*z**3 - 5603*z**3 - 10850*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 53*n + 353. Give f(-45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y - 47. Let c be (4\/(-3))\/(y\/18). Solve -3*t = -t + c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c8b (base 15) to base 12.\nAnswer: -13388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 2*a - 18, -5*a - 4*f + 3 = 0. Suppose a*q + 132 + 57 = 0. Let l = 63 + q. Solve 2*s = 3*h - l*s - 14, -8 = 2*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 462, 1851, 4166, 7407, 11574, 16667?\n\"Answer: 463*i**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 33 = 4*v + g, 2*v = -2*g + 18. Let t(d) = d**3 + 17*d**2 + 13*d + 23. Let s be t(-16). Suppose 4*m = x - s, -5*m - 8 = v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {p: 2, e: 1, l: 1, i: 1, c: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzkgddgqzgqqs. Give prob of picking 1 d, 1 s, and 1 q.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -7) + -8 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x = 78*x + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-682)\/(-10) - 1\/5. Let k be (1*3 + -1)*-18. Let o = v + k. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}