diff --git "a/data/dm_maths/full_data_1/1544_11255.jsonl" "b/data/dm_maths/full_data_1/1544_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1544_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l(z) = z**3 + 24*z**2 - 144*z + 7. Let y be l(-29). Sort -16, y, -4 in decreasing order.\nAnswer: -4, -16, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 731 - 120*f + 123*f - 748. Determine o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - 0.6. Let u = -0.5 + 0. Sort r, u, 0.2.\nAnswer: r, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*z = 78, -3*k - 5*z = 244 - 171 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1012301100 (base 4) to base 12\nAnswer: -11b900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:15 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Let v(p) = -21*p - 26. What is m(v(g))?\nAnswer: -882*g**2 - 2184*g - 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -449 + 119. Let c = 333 + k. What is the third smallest value in 0.02, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 - 2)*(0 - 3*l + 0) - 2*l + l - 7*l)*(2 - 1 + 0).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -976 (base 14) in base 15?\nAnswer: -848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(-10)*r))*r**(9\/2))**(-20) assuming r is positive.\nAnswer: r**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1093.91046 to one decimal place.\nAnswer: -1093.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*j - 1. Let k be j + -94 + (1 - -1). Let z = -59 - k. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(72) - (1 + sqrt(72) + -1)) + (sqrt(72) - 5*(sqrt(72) + -3)) + 4))**2 + 5.\nAnswer: -8208*sqrt(2) + 13622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from niii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-6\/17)*o*o**(1\/13) assuming o is positive.\nAnswer: o**(381\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(((i**(-1)*i)\/i)\/i)*i**0)\/(i**(-1\/4)*i*i**(-4)*i)*(i**(-3\/7)*i**(1\/8))**(-42) assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose -v = -3*h - 0*v + 772, -n*h = 2*v - 1046. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 7*c + 1. Let p be h(7). What is the third biggest value in 2, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by -11144.\nAnswer: 39\/1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*j - 950 = 0, 4663*t - 4*j = 4658*t + 1126. Solve -223*v = -t*v - 42 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/13 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 13 + 12)*(5*u - 2*u - 6*u + (-u + 0*u - 3*u)*(2 - 1 - 5)) to b + q*u and give q.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 6. Let a(y) = 25 - 2 - 8 - y - 2 - 14. Calculate 2*a(k) - p(k).\nAnswer: -k**2 - k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 23 = 3*v. Let r be 1\/4 + 21\/v. Suppose -3*p + 10 = -r*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-40)*18*1.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3899309528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2) - 6\/(-4). Let d = 1.2 + -1.4. Are d and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42362.89 to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -7\/120*b**6 + 0 + 7\/24*b**4 - 1\/42*b**7 - b**2 + 0*b + 1\/20*b**5 + 1\/3*b**3. What is j in a(j) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 40.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/156772 and -5\/72787.\nAnswer: 2038036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 12*y + 12. Suppose 38 = 2*h - y. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. Suppose -5*r - 17 - 8 = 0. Which is the closest to 0? (a) r (b) 3\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -16 (b) 2\/13 (c) -20 (d) -0.54 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13.39777nm?\nAnswer: 0.000001339777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 12*m**2 - 15*m + 18. Let t(l) = l**3 - 7*l**2 - 8*l + 10. Let v(f) = -5*t(f) + 3*y(f). Suppose -z = 4*z - 15. Calculate v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 0) + (193 - 195) + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/4 - 31*j**3\/3 - 2468*j**2. What is y(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-207)*15*(168\/(-630))\/(8\/18)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-2 - (-70)\/4). Let d be (3\/17 - (-645)\/(-765))*(-3)\/(-2). Put d, 0, y in descending order.\nAnswer: y, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3816*5.\nAnswer: 19080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = 8*x, w + 4*x = 6. Suppose 0 = -5*n + 4*g + w, n = -4*g - 6. What is the third derivative of n*u**6 + u**2 - 4*u**6 - 3*u**2 wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -100, -293, -586, -991?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-91)\/65 - 4\/(-10). Let t be 8*m*2\/(-8). Suppose 5*r + 5*c = 25, -3*c + 20 = t*r + 8. Solve 5 = -r*j - u + 17, -j = 4*u - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbuqgwb. Give prob of picking 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 11:33 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 34144 - 34088 = 13*v - 3*v, 64 = 4*v + 4*r for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + -5 + -4 + -5 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80886 by 17.\nAnswer: -4758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:08 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-14) - (-6 - ((-75)\/21 - 3)). Let y be -4 + 3 + 2 + 0. Let m be 339\/11 + 2\/11. Which is the closest to y? (a) i (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 45*m**2 + 18*m + 119. Give z(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805, -1572, -2371, -3220, -4137, -5140, -6247?\nAnswer: -7476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7729547?\nAnswer: 7, 1104221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113576265 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67894 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/((-336)\/(-420)*1\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*i - 5*i**2 + 224*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccpc when four letters picked without replacement from {c: 13, o: 3, p: 3}?\nAnswer: 143\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42174414 is divided by 1234?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -n - 4*j, -5*j - 18 = -2*n - 2*j. Let x(u) = -4*u + 7. Let g(p) = -1. Let w(c) = -4*g(c) - x(c). Let v(b) = 17*b - 13. Give n*w(y) - 2*v(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*o - 142*o + 464322 = -276*o. List the prime factors of o.\nAnswer: 2, 3, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 17*o - 27 - 36 + 31*o + 76 in the form j + x*o and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 2*j, -4*s - 3*j + 28 = -6*j. What is the lowest common multiple of s and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - (44 + -141)) + 0 + 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -424 - -1158. Let q = 736 - v. Factor -2\/3*f**q + 4\/3*f + 16\/3.\nAnswer: -2*(f - 4)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72 - (110 + -1)) + 38\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -21, -29, -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 3*q - 5*q)*(-2*q**3 + 2*q**3 - q**3) in the form g*q**2 + s*q**4 + w*q**3 + z + v*q and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, 1 h, and 1 m when four letters picked without replacement from hmoshyy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8143382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/23181919 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*y**3 - 2260*y**2 - 5084*y - 680.\nAnswer: 4*(y + 2)*(2*y - 85)*(7*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4*u + 1. Let g be z(-4). Is 29 a factor of (g - 88)*(-8)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b. Let w(s) be the first derivative of -9*s**2\/2 + 69. What is -5*n(a) - 7*w(a)?\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/7 - 990*t**4\/7 + 22748*t**3\/7 - 972*t**2\/7 - 500634*t\/7 + 139590 = 0.\nAnswer: -517, -5, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.664 - 8.9. Round q to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 109232 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 12:13 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48.88 + 53. Let i = 126.08 + z. Round i to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 + 2 - 2)*(-291)\/(-6) and 81\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -21. What is the highest common factor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 93.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i)**(-16)\/(i**(1\/2)\/i*i**15*i) assuming i is positive.\nAnswer: i**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -73*v + 235. Determine y(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2221*v**4 + 1128*v**4 - 95*v**3 + 1103*v**4)*(-3 + 5 - 3) to j*v + s*v**2 + r + u*v**3 + t*v**4 and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19309454237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*c**5 - 5*c**4 - 4*c**3 - 28362*c wrt c?\nAnswer: -340*c**3 - 60*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3\/7, 26, -2 in increasing order.\nAnswer: -2, 3\/7, 25, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30507.927 rounded to the nearest 100?\nAnswer: -30500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.48 times -845930\nAnswer: 1251976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15453 (base 10) to base 7\nAnswer: 63024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5543 is divided by 2177?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Let b(x) = x**3 + 6 + w - 1 + 7*x**2 - x. List the prime factors of b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -224 - 228 - 222 + 6433*x + 674 as s*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, 531054 in decreasing order.\nAnswer: 531054, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19651 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 131889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.9879 + -0.0121. Which is the smallest value? (a) 7\/6 (b) -25 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 7*q - 2*q - 9635, 5*l + 1927 = q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1916876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73180.6937 rounded to the nearest one hundred?\nAnswer: 73200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-94)\/(-48))\/(9\/(-27))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 11*h**2 + 3. Let r be x(-11). Suppose -4*k = -5*k + r. Solve 10 = -2*v + 2*n, -n = 5*v - 2*v + k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 5*m + 13 = -4*n, -5*n + m - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 - 2*q**3 + 21*q + 6 - 22*q in the form k*q**2 + i*q + j + y*q**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 13*r**2 - 1. Let f be (-4 - (-45)\/10)\/((-2)\/(-52)). Let o be g(f). Sort 5, 4, -3, o in ascending order.\nAnswer: -3, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9266.7 - 9267. Which is the third smallest value? (a) 0.07 (b) p (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16. Let q(c) = c**2 - c + 2. Let s be q(l). Is 57\/((-6)\/s - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(9\/(-12)) - (1 + 2614). Let t = 355 + n. Let k = 3397 + t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143967675 or 143967673?\nAnswer: 143967673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232 - -222. Which is the smallest value? (a) w (b) 0.5 (c) -3\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5177 + 1?\nAnswer: -5176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2. Let w(p) = p**2 + 5*p. Let x(y) = 3*y - 15. Let o(n) = -n + 4. Let l(z) = 15*o(z) + 4*x(z). Let c(h) = 5*l(h) + 3*w(h). Calculate c(g(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26829, 26820, 26813, 26808, 26805, 26804?\n\"Answer: k**2 - 12*k + 26840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iff when three letters picked without replacement from {i: 2, l: 4, f: 4, y: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4 = 1. Let i(l) = -l**3 - 5*l**2 + 5*l - 4. Let z be i(-6). Let n = -1 + z. What is the closest to t in -5, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13\/364)\/1)\/(2*110\/(-80)).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 55*n**2 - 2*n - 2. Let p(t) = 82*t**2 - 3*t - 3. What is 5*p(x) - 8*y(x)?\nAnswer: -30*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 70. Let s be -1 - 2 - (j + (-6 - -4)). Solve -3*d = -r - s - 1, -1 = -4*d + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*c**2*i*t**2 - c**2*i*t - 2*c**2*t**2 - 2*c**2*t + 2*c*t**2 - 4*i*t**2 - 2*i*t - 25*t wrt t?\nAnswer: 34*c**2*i - 4*c**2 + 4*c - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 - 3*g + 5. Let l(v) = -3*v**2 - 3*v + 3. Let u(c) = -4*c**2 - 4*c + 4. Let z(h) = 7*l(h) - 5*u(h). Determine -q(a) + 3*z(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + t**2 - 5*t**2 + 5 - 3*t**2 + 8*t**2. Let d(c) = -3*c + 2. Let r(j) = -5*d(j) + 2*o(j). Calculate r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*k*n**3 - d*n**3*w + 228356*d*n**3 + 14*k*n**3 - 4*k*n**2*w + 2*k*n**2 - 11*k*n*w + 11*n**3*w + n**3 wrt d?\nAnswer: k*n**3 - n**3*w + 228356*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -2, 15, 50, 109, 198, 323, 490?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 30197*u - 29427*u + 4.\nAnswer: 770*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 654572861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -4, -2.\nAnswer: -4, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26255689900 rounded to the nearest 1000000?\nAnswer: 26256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1897, -5, 0.1, -1\/3, 0.2, -1 in decreasing order.\nAnswer: 0.2, 0.1, 1\/1897, -1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -42 + 2*g + 26 + 8*g - g**3 - 9*g**2 + 20. Let i be w(-10). Suppose -3*p - 3*h - 2*h + 226 = 0, -3*h = i*p - 305. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4 + 100*k - 165*k - 38*k. Let p = -31 + 30. List the prime factors of v(p).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/63 and -87\/5264.\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*q**2 - 186 + 186)*(-202*q + 326*q + 693*q) in the form j*q**3 + u + z*q + g*q**2 and give j.\nAnswer: 25327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 813227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*p - 0*p - 21, 29 = 5*p + 4*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssll when four letters picked without replacement from {l: 2, s: 9, n: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 627165439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 23362*x + 186898. Let g be b(-8). Suppose 1\/2*n**g - 1\/4*n**4 + 3\/4*n**3 + 2 - 3*n = 0. What is n?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 + 2*n - 8. Let f be v(-5). What is the highest common divisor of 77 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14, -4, -5, -1157?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 12:50 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/120 + g**5\/10 + 5*g**4\/24 + g**3 - g**2. What is the units digit of o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12749120 to the nearest one hundred thousand.\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 109.52 and -12757.1547.\nAnswer: -12647.6347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:55 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34540 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 8*f - 6. Let y = 1092.279 - 1093. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.3 (c) 2657 (d) -71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-304)\/48)\/(28\/(-156) + 8\/(-52)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 29. Let o be d(-15). Solve -2*a = 2*h + o, 2*h + 4*a = -3*h - 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26431425316260 + 3.\nAnswer: 26431425316263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:05 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*y - 64*y - 495 = 0. Solve -y + 13 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -915*t**3 + 3350*t**2?\nAnswer: -5490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4367)\/(-55) + 6\/10. Calculate the greatest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**4 - 15*c**3 + 85*c**2 - 60*c = 0.\nAnswer: -4, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 9 = 31. Let u(g) = -5 + j + 3 - 6*g. Give u(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 771*l**3 + 1092*l**3 + 489*l**3)*(-3 + 2*l + 3 + (-3*l + 3*l - 2*l)*(-2 + 5 - 1)) as w*l**3 + b + q*l**2 + m*l + u*l**4 and give u.\nAnswer: -4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1083)\/2527 - (3\/(-12) + (-1278)\/(-56)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*t + 11 - 26 = 0, -5 = -o + 3*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 63004338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 183277879 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15*u + 12. Let x(q) = -15*q + 11. Let r(t) = 3*o(t) - 4*x(t). Is 17 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 491, -70, -54, -7\/6 in ascending order.\nAnswer: -70, -54, -7\/6, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 9*j + 47. Let d be n(-13). Let i(y) be the second derivative of 0 + y + 2*y**2 + 1\/12*y**4 + 4\/3*y**3. What is i(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000259972 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167991741 divided by 3.\nAnswer: 55997247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 193. Let x(s) = -s. Calculate d(x(i)).\nAnswer: 4*i + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -4 - -4 - (0 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*v + 327 + 208. Do -42 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - 0.3. Let a = 4 - l. What is the biggest value in 0.2, a, 0.04?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**15*(z**3*z)\/z)\/((z**(-1\/8)*z)\/((z*z\/(z\/(z\/(z**(2\/7)\/z))*z))\/z*z)))**(2\/65) assuming z is positive.\nAnswer: z**(1111\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106.2 - -106.2. Is s not equal to 3.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 22. Let q be r(7). Let s be (-6 + (-16)\/4)*q. Solve -2 - s = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 55.91. Let h = j - 0.29. Which is the nearest to 1? (a) 1 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267 - -362. Calculate the highest common divisor of k and 855.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 19 = -13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjjw when four letters picked without replacement from swjjssjjzwjsjjjkjjj?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -226442 smaller than -3396634\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-130)\/44 + 3). Let r(z) = z**2 - 5*z + 2. Let b be r(5). What is the highest common factor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 2.8. Let l = r - -0.6. Let z = 232\/9 + -26. Which is the second smallest value? (a) 1\/2 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124895 equal to 124970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*o - 5, f - 5 = -0*f + o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -4) + 0 - 0. What is the closest to -1 in x, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4423 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 7:28 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*t = 16, -3*j + t - 7 - 27 = 0. Suppose -23*g + 2790 = 927. Calculate the remainder when g is divided by (-260)\/j - 4\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-25*a + 5*a - 8*a)*(-2 + 1 - 1) - 5*a + 5*a - 2*a)*(-4 + 6 - 5).\nAnswer: -162*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 * 36554\nAnswer: 1754.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6723 and 14661.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 8, -4\/62787?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -4 + 2*k**2 + 7\/3*k**3 + 0*k - 1\/30*k**5 + 49\/120*k**6 + 1\/6*k**4. Find the second derivative of r(b) wrt b.\nAnswer: 294*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - sqrt(9))*-6 + -6*sqrt(144))\/((sqrt(300) - 3*sqrt(300))*1).\nAnswer: 21*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuunncnvncuucccuv. Give prob of sequence unnv.\nAnswer: 5\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 2 - t**3 + 1 - 4*t**2 + 0*t**2 + t. Let s(c) be the first derivative of -5*c**4\/4 - 7*c - 1. Let y(l) = 4*q(l) - s(l). Calculate y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 119951.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15240*u - 4*v - 89 = -15237*u, -5*u - v = 35 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 18*o. Let k(d) be the third derivative of -d**4\/12 - d**2 - d. Calculate k(s(i)).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-74) - 176932\/10508?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2476 - -0.5176. Which is the second biggest value? (a) d (b) -3\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -93, -88, -73, -42, 11?\n\"Answer: x**3 - x**2 + x - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -17, 3, 1\/5, -11\/439 in ascending order.\nAnswer: -17, -11\/439, 1\/5, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by 90?\nAnswer: -32\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157 and 9?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 9*s**2 + 9*s + 11. Let p be l(-8). Solve -i + 0*i + 6 = -2*j, -i - p = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157237112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4886.\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468715226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, p: 5, v: 4}. Give prob of picking 4 v.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 13*r - 28. Suppose -19*y + 105 = -12*y. Let a be d(y). Let s(w) = 4*w**2 - 15*w + 26. What is the tens digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:07 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*f**3 + 4 - 2 - 6 - f to n*f**3 + t*f**2 + l + u*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 739908 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 + 1 = 0. Let o be 1 - (44\/28 + -1). Sort p, -0.4, o.\nAnswer: p, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 - 3642*l**2 + 29304*l + 73160 = 0.\nAnswer: -1829, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:35 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmmw when four letters picked without replacement from qmmmmmmwmqmmw.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -166, -1616, -5536, -13162, -25730, -44476?\n\"Answer: -206*i**3 + i**2 - 11*i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 4, b: 7}. What is prob of sequence bnan?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 45, 2, 1, -497 in descending order.\nAnswer: 45, 2, 1, -3, -5, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1410259820 to the nearest integer?\nAnswer: 37553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -835.5 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907037?\nAnswer: 271, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -16 + (-34)\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 13\/2. Let y = 1324 - 567. Let u = y - 757.13. Which is the biggest value? (a) -0.5 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11104 - 1?\nAnswer: 11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 5 = 8*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132743\/16 - -8291. Let q = -45837\/16 - -2863. Calculate the common denominator of q and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210924 by 1701.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*m, v - m = -4*v + 482. Suppose 3*t + 54 - v = 0. What is the smallest common multiple of 178 and t?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 263819381, 263819386, 263819393, 263819402, 263819413, 263819426?\n\"Answer: n**2 + 2*n + 263819378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 4*f - 11. Calculate the remainder when o(-8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4302 - 4303. Sort z, 1\/11, -4 in ascending order.\nAnswer: -4, z, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*z + 12, 2*v - 3 + 5 = 2*z. Suppose -565 = -3*a - 4*l, -v*a + 0*l = -l - 766. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + o = -211, -10*o + 6*o - 27 = -g. Solve -96 = -11*z + g*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-39))\/(42\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*(-180)\/210.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -739711*l**2. Let t(x) = 2*x. Give t(g(s)).\nAnswer: -1479422*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -619.671 - 14944.951. Let s = i + 15579. Let g = -14.5 + s. Round g to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/43 (b) 3\/2 (c) -25 (d) -0.5 (e) -9 (f) -461\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 0.008, -3, -0.3, 0.2, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 1)*(-21 + 11 - 4)*(-4*a**2 - 61*a**2 + 16*a**2).\nAnswer: 686*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 83*c + 57. Let y(i) = -56*i - 39. Let s(z) = 9*j(z) + 13*y(z). Let l(o) = 37*o + 13. What is 6*l(x) - 13*s(x)?\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11718173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 10.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + 1\/(2\/(-4)). Let z = p + -7. Let x be 1\/(1 - (z + 1)). Is x greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 + 4300*n**2 - 21418*n - 52. Give a(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*k**5 - 635*k**2?\nAnswer: -7620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 6, f: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/((k*k\/k**(1\/2))\/k*k))\/k)**(-6\/7))**(-2\/7))**(-21))**41 assuming k is positive.\nAnswer: k**(2214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 2*l + l + 11*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Let w(q) = 92*q**2. Determine w(m(g)).\nAnswer: 368*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 5. Let l be (0 + -2)\/((-1)\/2). Suppose -3*f + 37 = 5*y, -l*f - 11 = -8*f + y. What is w(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2125 - 66?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 35. Let m be (0 + 1\/(-2))*2. Let l be 16\/(-48)*m\/3. What is the smallest value in l, 5, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 15. Suppose -n*k + 2*z = -25 - 15, -3*k - 5*z + 4 = 0. Let u = -16 + 23. Calculate the smallest common multiple of u and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o + 5. Let z(s) be the first derivative of -21*s**2 + 14*s - 3259. Determine -11*m(i) + 4*z(i).\nAnswer: -14*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2 - 4084*n - 32736 = 0.\nAnswer: -8, 4092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 + 162*l**2 + 3198*l - 3362. Let c(u) = 9*u**3 + 324*u**2 + 6396*u - 6724. Let a(q) = -2*c(q) + 5*k(q). Factor a(i).\nAnswer: 2*(i - 1)*(i + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34063, -136620, -307545, -546838, -854499, -1230528, -1674925?\n\"Answer: -34184*u**2 - 5*u + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.1. Let i = 425 - 429. Put i, 5, o in ascending order.\nAnswer: i, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19907, 20205, 20503, 20801, 21099?\nAnswer: 21397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4658.4 in -5, 0.3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - 699820\/(-495). Suppose 37*a = 10035 - y. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Suppose -3*r = -3*w, -5*w + 5*r + 15 = 3*r. Let k(q) = -q**3 - 18*q**2 + q + 17. Let m be k(-18). Put w, m, d in descending order.\nAnswer: w, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 + 4*p**5\/15 + p**4\/2 - p**3 - 2*p**2. What is the tens digit of h(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51\/8 (b) 21 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 4) to base 11\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 14) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -92364 and -92364 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-2) - 210\/(-50)*5. Is h <= 149\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = -16*k - 20*k + 54*k + l, -5*l = -5*k - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 + 2)*(8 - 7 - 16)*(-o**3 + 1 + 17*o + 0*o - 9*o) in the form z*o**3 + a*o + d + s*o**2 and give d.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 - (-13 - 0 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2))\/b)\/(b**(-11\/2)\/b))\/(b**(-31)*b**9) assuming b is positive.\nAnswer: b**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 3)\/(2\/2). Let o(l) = 2*l + 2*l + i*l. Let k(f) = -2*f**2. Give k(o(a)).\nAnswer: -200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1322986532 to the nearest integer?\nAnswer: 36373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3400)*-3 + sqrt(3400))*-5 + sqrt(3400) - sqrt(3400))*4)\/(sqrt(2) + (sqrt(2) + sqrt(6)\/sqrt(243) - sqrt(2)) + sqrt(18)\/sqrt(144)).\nAnswer: 14400*sqrt(17)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -153*n + 4207. Determine b(21).\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - q - 317 - 628 = 0, 5*q = u - 961. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 6910.\nAnswer: 621900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0527 + 23.1527. Let r = g + 13.3. What is r rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9*i + 12*i - 23*i)*(15*i + 13*i - 9*i) in the form y + m*i + x*i**2 and give m.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t**2 + 0*t + 48 + 4\/3*t**3. Let k(r) = -2*r. Let l(g) = -2*g. Let o(y) = 5*k(y) - 6*l(y). Determine z(o(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*r + 6*r - 4*f, -5*f + 69 = -4*r. List the prime factors of 700 + -1 - (-11 - 99\/r).\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2601 + 28560\/11. Find the common denominator of (-2680)\/(-3036) + (-14)\/(-483)*3 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244179, -488350, -732521?\nAnswer: -976692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -164 + 135 + (17 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(-1*sqrt(128) - sqrt(128))*-3 - (-1 + -2 + sqrt(128)*-2 + 3 + sqrt(128)*2 + sqrt(128)))**2.\nAnswer: 156800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s + 49. Let z be c(0). Suppose -z = -0*n - n. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-86)*9)\/(6\/(-12)). Is d smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 35*r**2 + 123*r + 22. What is y(-31)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/(l*l\/l**3)*l)\/(l*l\/l**5))\/(l**(-1\/3))**(-1\/7))**(-12\/7) assuming l is positive.\nAnswer: l**(-668\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249.27 less than 41842051?\nAnswer: 41843300.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -7*c**3\/6 - c**2\/2 + 5*c. Let o be (-16)\/(-88) + (-9)\/(-11). Give q(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5675899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 1168\/15. Let c = 4.5787 + -4.9787. Put g, -0.3, c, 0.4 in increasing order.\nAnswer: c, -0.3, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 62*x**2 - 2*x + 9. Calculate the remainder when 2346 is divided by h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13\/5 (b) 2\/7 (c) -29 (d) -7 (e) 4\/9 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 s when four letters picked without replacement from ssssssissiis.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/59220 and 163\/420?\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 3901.\nAnswer: -17\/3901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/361 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000825580832 rounded to seven dps?\nAnswer: -0.0008256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j - 32*j + 252 = -111*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*y**3 - 55*y**3 - 3*y**2 - 2 - 3 to b*y**3 + c*y**2 + f + d*y and give b.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 509.6 + -0.3\nAnswer: 509.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36560348 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2508147*0.26\nAnswer: -652118.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -55.966. Let t = l - -1.034. What is the nearest to t in 0.1, -0.3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/2 + 2*s**2 + 35*s - 5. Let c(t) = 6*t**2. Calculate c(p(a)).\nAnswer: 54*a**2 - 144*a + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6657970 and 67?\nAnswer: 446083990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 331 = -5*f - 4*r, -3*f = r - 200. Let d = 90 - 55. Calculate the remainder when f is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21349560 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 - 4)) + 4 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**3 + 2*l - 1. Let z be t(1). Suppose -3759 - 3755 = -z*j. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.49 + -1.29. Let b = -42.9 + g. What is the third smallest value in b, 3, -2, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-7 - (-2 + 0)) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/72 - 2\/9. Suppose -4*m = -0*m + s - 40, -5*s = a. Solve 0 = -5*i + m - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 104?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 500938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 32 = -4*j. Solve -3*a + 16 = 4*l + l, -j*a + l = 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7140 and 331.556.\nAnswer: 7471.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.3 (c) -2 (d) 1 (e) -0.268 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*((sqrt(539) - (sqrt(539)*-1 + 5))*-4)**2 + (-6*(-2*sqrt(539)*6 - (sqrt(539) + (sqrt(539) - (-4 + -2*sqrt(539))))))**2)*-6.\nAnswer: 333312*sqrt(11) + 60453504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -233502202?\nAnswer: 233502155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 96*b**2 - 57*b + 1. Calculate the remainder when 5838 is divided by w(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 18 = 5*y. Suppose -3*j - y - 3 = -5*x, 5*j + 3*x - 14 = 0. Let d(g) = g**3 - 2*g**2 - 2*g - 3. Let r be d(3). Is j less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 81 = 24. Let u = 31 + -19. What is the remainder when w is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2)**(22\/5)\/(l**0)**(-3\/10) assuming l is positive.\nAnswer: l**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231860 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75922\/2715 + 7554733723\/173760. Let i = t + -43451. What is the common denominator of 91\/4 and i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 15*p**2 - 11*p**2 + 48*p**2 - 20*p**2 - 9*p**3.\nAnswer: -9*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g + 0*g**2 - 1\/6*g**4 - 1\/3*g**3 + 0. Factor d(z).\nAnswer: -2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Suppose f = m + 3, -l + 5*m = 118995. What is l rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3\/3 - 21*y**2\/2 - 10*y. Let k be c(-12). What is the closest to -2\/7 in -2\/3, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1133404 + 0?\nAnswer: 1133404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 = -21332*k + 20971*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 1\/2 (c) -28\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (181150 - 361829 + 183428)*(a**4 - a + a) as v*a + s + y*a**4 + c*a**2 + h*a**3 and give y.\nAnswer: 2749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1210011021002 (base 3) to base 11\nAnswer: 59818a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.3, 0.2, 4, 9\/5, -1\/6?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 9252*l**3 - l.\nAnswer: -9252*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 36\/(-30)*(-3825)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128359*r**4 - 2*r**2 + 32921*r + 1 wrt r?\nAnswer: -3080616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*p - 286*p = -95 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -4383 in descending order.\nAnswer: 2, 0, -4383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 2\/11, -0.11, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**6\/165 - o**5\/110 + o**4\/132 - 4*o**2 + 6*o. Let w(i) be the first derivative of k(i). Suppose w(s) = 0. Calculate s.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5\/3)*y)**(1\/8)*y**(1\/8)\/y**11)**(-27) assuming y is positive.\nAnswer: y**(2367\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9942 (base 11) to base 9.\nAnswer: 18881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4375989 = -3*r - 227947 + 2243575. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1728 and 2496.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -46084 (base 11) to base 9\nAnswer: -111366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189422*r**5 + 2*r**4 - 21*r**2 - 5*r - 559 wrt r.\nAnswer: 11365320*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 3*p. Let w(t) = -t - 3. Let h be w(-7). Let r = 8 - h. What is the smallest common multiple of m(r) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*g + 51. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 3*s - 36 = 0. Suppose 15 = s*t - 15. Calculate the remainder when t is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1507047\/3089 <= 487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 445086 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1321171733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 354 - 172. Suppose 4*m - t - p - 166 = 0, 5*t - 261 = -3*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404377048?\nAnswer: 2, 139, 1262929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.517989l to millilitres.\nAnswer: 9517.989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1282 - 987*z**2 + 969*z**2 + 883*z**2 + 531*z**2 wrt z?\nAnswer: 2792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -144 + 114. Sort -4, 5, h, 70 in ascending order.\nAnswer: -4, h, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225 - -360. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85649701 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -4)*(-11 + 7). Let p = b + 23. Let h be 2\/(-5) + (-204)\/(-10). Solve -w = q - p*w - 12, h = -4*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34871*k*o**2 - 26357*k - o**2 + 8 wrt o?\nAnswer: 69742*k*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122.07 - -2.93. Let t = -135.9 + s. Round t to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 681.4 + -754. Let a = 65 + y. What is a rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {f: 7, e: 1, q: 3, g: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3730940103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 39. Let a(d) = -9 - 5*d + 3*d + 4*d + d**2 - o*d. Calculate the remainder when 26 is divided by a(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2 + 21338*i + 1546704 = 0.\nAnswer: -72, 10741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 732569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 696348 take away 3?\nAnswer: 696345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**2 - 2. Suppose -167*l + 176*l = 36. Let q(v) = -10*v**2 - 4. Determine l*q(u) - 9*a(u).\nAnswer: 5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5) + -4 - (58 - 17 - 19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1556 (b) -4 (c) -5 (d) -1 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.47, 1\/6, -8, -1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*o - 13446 = -402*o - 296*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 385270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.05, -2, -1, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*l**2 + 3*l**2 + 3*l**2 - 6*l**2 + 418 + 397*l**3 with respect to l.\nAnswer: 1191*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/(-3 + 66\/28).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4564 and 1956.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46650 and 90?\nAnswer: 139950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2955 and 10265205.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**2\/2 + 7*r + 1. Let x be o(-6). Let u be 22\/x + 0 + 2. Calculate the greatest common factor of u and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, -1\/53, -39 in descending order.\nAnswer: -1\/53, -0.028, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u + 511. Let b be a(52). Let g = -367 + 572. Let m = g - b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106150450, -212300895, -318451340, -424601785, -530752230, -636902675?\nAnswer: -743053120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1155, 521\/2, 0.2, -0.5, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.395.\nAnswer: -1.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 42, 46, 32, -6, -74, -178?\n\"Answer: -f**3 + 23*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 25258142.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -407033 times -8?\nAnswer: 3256264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**3 + 1. Let v = 1157 - 1132. What is the remainder when v is divided by u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*c - 14*j + 3, -4 = -3*c - 5*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, i: 7}. What is prob of sequence hiih?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171*i**3 + 2*i + 66?\nAnswer: -513*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9 and -14\/459.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 206, 194, 220, 302, 458, 706, 1064?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - 2 - (-24 + 16 + -7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280585 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) - (-3)\/6. Let b = 12 + -10. Let h(m) = 2*m**3 + 12*m**2 - m + 5*m**2 - 20*m**2 + b. Let n(y) = -y**3 + 2*y**2 + y - 2. Give i*h(t) + 3*n(t).\nAnswer: t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 380764457 to the power of 1\/2, to the nearest integer?\nAnswer: 19513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*i**3 - 393*i**2 - 108*i - 1891583 wrt i?\nAnswer: 111*i**2 - 786*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4, 5*j - 68 = 2*n + 14. Let r be 3\/(-2)*(0 + 4). Let t = r + j. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 50*t + 204. Determine k(44).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 723924 (base 10) in base 14?\nAnswer: 14bb6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.4 - -7. Let f = -7.6 + k. Let q = f - -9. What is the closest to 1 in 1\/4, -0.4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 270, 2, 5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqk when three letters picked without replacement from vkvqqkbbqbqbqkvqv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0)**(-30)\/(x*x\/((x*x*x*x**(-2\/23)*x*x)\/x))**48 assuming x is positive.\nAnswer: x**(1422\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 2*u**4 - u**4 + (-4 - 2*u + 4)*(2*u - 2*u + u**3) + 2*u**4 - 3*u**4 + 2*u**4 + (-3*u - 2*u + 4*u)*(1 - 1 - 4*u**3).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/12 + j**4\/12 - j**3\/6 - 57*j**2. Let r(u) = 2*u - 11. Let d be r(8). Suppose -d = -6*b + b. Determine s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-2)\/(-3)*-3. Let q = 7 - p. What is the smallest common multiple of q and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2\/13, 5, 2, 13, 12.5 in increasing order.\nAnswer: -2\/13, 2, 5, 9, 12.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -60. Let j = 34 - v. Suppose 5*a - 2*w - 382 = w, 5*a - j*w - 383 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1555 and 89\/1244.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -67*r + 13. Let s(m) = 82*m - 14. Let o(j) = -6*p(j) - 5*s(j). Determine o(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18629 + 18629 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 547 (base 9) to base 10\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let g(n) = -6*n - 4. Let t(m) = -c(m) + g(m). Calculate t(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6036*k**2 + 78571*k**2 + 25916*k**2 - 11022*k**2.\nAnswer: 87429*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 + 14358*r - 3356017 + r**3 - 45108*r + 498*r**2 + 3324767 = 0. Calculate r.\nAnswer: -1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*d - 167*d + 77*d - 6)*(-1 + 1 + 3)*(3 - 1 - 1 + (2 - 4 + 1)*(2 + 2 - 5)).\nAnswer: 198*d - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h*m + 23*h + 198*m**3 + 12801*m + 3484673 with respect to m.\nAnswer: -7*h + 594*m**2 + 12801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263279.\nAnswer: 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (6 - -17) - 4 - (-6 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17.3. Put p, 1, -0.1 in decreasing order.\nAnswer: 1, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 32*a**2 + 276*a - 1. Determine m(21).\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*m = 6, 2*a + 6 - 18 = -m. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2431*l = 2428*l + 117. Is l at least as big as 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/9*-3*(-6)\/4. Let o(f) be the second derivative of 0 + 0*f**2 + 2\/3*f**3 + 3*f - 1\/12*f**4. What is o(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:32 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -15 + 2*q + 19 - 4. Let g be 3 - -3*3\/(-9). Let t(w) = -9*w - g*w + 2*w. Give c(t(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 8, 0.1, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3781*g - 1258*g - 1264*g - 10373*g**3 - 1259*g)*(2*g - 3 + 3) as q*g**3 + x + t*g**4 + r*g + y*g**2 and give t.\nAnswer: -20746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.179049.\nAnswer: 0.0895245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342461 by -7.\nAnswer: -48923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 49*c + 102. Let z be r(-2). Solve -20 = 6*q + z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 354327?\nAnswer: 354321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22850633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 536 + -690. Let i be 37\/d - 32\/(-112). Which is the closest to -1? (a) i (b) 3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 + -89. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 + 4 + 8)) + -13?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*b - 3, -9*u = 6977*b - 6978*b - 57 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80503271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, i: 1, u: 1, a: 1, x: 2}. Give prob of picking 1 a and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + 4*x + x**2 + 2*x**2 + 1. Suppose -14*a - 497 = -1197. Suppose a + 58 = 36*g. What is s(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51274717?\nAnswer: 13, 59, 66851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + 1) - (49 - 53)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - w**5 + (-w**4 + 2*w**4 + w**4)*(w + 0*w + 0*w) - 6*w**5 + 4*w**5 + 4*w**5 - 190*w**5 - 289*w**5 + 161*w**5 + 4*w**5 - 4*w**5 - w**5.\nAnswer: -316*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2 - 14252*j + 312576 = 0 for j.\nAnswer: 22, 7104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*z**4 - 2*z**2 + 6*z + 29.\nAnswer: -576*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f*u**4 - 2*f*u**2 - f*u + u**5 + 18*u**3 + 235*u wrt u.\nAnswer: 144*f*u + 60*u**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/963 and -25\/1177.\nAnswer: 10593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 23 - 70 - 40 + 2*y to the form v*y + d and give d.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/6 - -2)\/((-1)\/216). Let c be ((-6)\/9)\/(3\/(g\/(-8))). Suppose -2*b + 14 = 4*i, 4*i + 4 = 3*b + c. Calculate the remainder when 16 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/9, -0.03, 0 in decreasing order.\nAnswer: 2\/9, 0.1, 0, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3648 and 9?\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - m**4 + m**4)*(3 - 4 + 2) + 2*m**4 - m**4 + m**4 + (-2 - 3 + 3)*(2*m**3 - 2*m**3 + m**4) + 0*m**4 + m**4 + 0*m**4 + 10*m**3 - 10*m**3 + 8*m**4.\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 18094*s - 23 = 18097*s, 0 = 9*m + s + 37 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 3*q = -0*q - 21, -5*q + 37 = 3*h. Solve -h*x = -5*j - 3, 2*j - 16 + 37 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 10*b**2 + 36*b + 21. Let s be f(-16). Let y = s - 613. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*s - 74, -4*i = -2*s + 22 + 22. Calculate the highest common divisor of s and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -180396, -360800, -541204?\n\"Answer: -180404*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.2. Let s = -0.1 + -0.2. Let d = z + s. Put 0.1, d, 0.4 in increasing order.\nAnswer: d, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca - -cb?\nAnswer: 2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1903*g**4 - 2043*g**2 + 14141105*g wrt g.\nAnswer: 22836*g**2 - 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(72)*2)\/(sqrt(18)\/(1*sqrt(3))))\/((sqrt(8) + 2*sqrt(968))\/(2*sqrt(288) - sqrt(2))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -695*z**3 + 9 - 15 + 6 + 1072*z**3 + 641*z**2 wrt z.\nAnswer: 2262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o = 36*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 3?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faphbbgpa. Give prob of picking 1 a, 1 b, and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*n + 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83482880 divided by -346.\nAnswer: 241280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*i + 11 = -7, 2*i = 4*b - 30. Suppose -11 = 5*h + 39. Let k = -4 - h. Calculate the highest common factor of b and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.46 in 5\/28, -3, -23, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 50 + 9*g - 50 + g**3 - 8*g**2. Let n be t(7). Suppose 3*h - 85 = -5*v, 5*h - 2*v = 24 + 66. Solve -5*f - h = n, -4*f - 10 = -3*w + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116610213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -24. What is the highest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 4*y**2 + 6. Let f be m(-4). Calculate the lowest common multiple of 3 and (7\/(f\/12))\/((-24)\/(-660)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -b - 5*v, b = -b + 5*v - 16. Suppose 0 = 242*z - 448 + 5288. Which is greater: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -40 - 100. Let r(a) = 947*a - 108837. Let l be r(116). What is the highest common factor of l and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3315\/83 or 40?\nAnswer: 3315\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29.58286 millennia?\nAnswer: 295.8286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 - -258. Suppose 4*l = 210 + q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5348.56 days?\nAnswer: 462115584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30973192.\nAnswer: 2, 19, 203771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, 79, 168, 333, 598, 987?\n\"Answer: 4*m**3 + 2*m**2 + 3*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -69, -119, -169, -207?\n\"Answer: 2*q**3 - 18*q**2 + 2*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43b7 (base 12) to base 13.\nAnswer: 3538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -48 - 14 + 14, -j - 9 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*d + 5*o - 320, -80 = d + 5*o. Let j = 22241\/8 - 2784. What is the common denominator of j and 8\/40 + (-114)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + -2)*-5 - (-2*(sqrt(128) + 2) + sqrt(128)))*-5 + 5 + -4.\nAnswer: -69 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 8*p + 340. Let q be v(-14). Solve 0 = -29*a + q*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118137 is divided by 445.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 142 - 27. Suppose -23*s - 10 = -21*s, 0 = -4*i + s - 15. Sort 4, r, i in descending order.\nAnswer: r, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 2. Let q = d + -5. Let m = 2\/471 + -479\/1884. Which is the second smallest value? (a) q (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.0617.\nAnswer: 0.0617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6206212598272 and 1.6?\nAnswer: 6206212598273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y + 51. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72780974?\nAnswer: 2, 7, 742663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let g(w) = -12*w - 2. Let d(y) = 2*y - 26. Let m be d(14). Let q(v) = m*k(v) - 2*g(v). What is the derivative of q(a) wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z - 0*z, 2*l = 4*z + 10. Let b(c) be the first derivative of c**3\/3 + 3*c**2\/2 - c + 123. What is b(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - 6*-4 - -1 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:57 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 5*x**2 + 5*x - 3. Let n be i(-6). Let q(w) = w**3 - 5*w**2 + 3*w + 3. Determine q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 5:19 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*h - 5588 = 3068 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-3)\/(-3)) - (-14 - -13). Let b = -164 + 3773\/23. Is c at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49.2 - -54.19. Let g = -0.01 - u. Let p = -6.3 + 2.3. What is the second biggest value in g, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**7\/210 - j**6\/60 - j**5\/60 - 17*j**2\/2 + 12*j. Let f(d) be the first derivative of b(d). Factor f(q).\nAnswer: -q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (2 - 2) + -2. Suppose m*o + 5*y = -13, 2*o - 2*y + y = 0. Let i = -12 + 12. Which is the closest to -0.1? (a) 1\/7 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -43, -156, -387, -778, -1371, -2208?\nAnswer: -3331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1766472223 from 14.\nAnswer: -1766472209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2286263*o**5 - 3*o**2 - o + 55192.\nAnswer: 137175780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*g**2 + 8*g**2 - 7*g**2 + (3*g - 5*g + 3*g)*(0*g + 0*g - g).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a = 148*a - 6437238. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -22*o**3 - 650*o**2 - 4948*o - 9792. Let z(b) = 3*b**3 + b**2 - 2*b. Let m(h) = -l(h) - 6*z(h). Factor m(n).\nAnswer: 4*(n + 4)**2*(n + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*g + 5*d, -19*g + 17*g - 5*d - 7 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2455 times -165.6?\nAnswer: -1696.6548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-45 - (20 + -36 - 14)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from ecooceoeoieeeeeooeoo?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16585 by -10.\nAnswer: 3317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let o = -4 + 0. Let j = -1.1 + 1. Which is the second smallest value? (a) j (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:22 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/8 - 7\/8. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233099.\nAnswer: 257, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 79, 180, 371, 682?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 34. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -5*i. Let h(w) be the third derivative of -w**4\/3 - w**3\/3 + 3*w**2. Is h(i) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 844.2 - 844. What is the closest to -11 in t, 0.3, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05375 * 1881\nAnswer: -101.10375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/1308618 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 50 + 6*n**2 - 50 - 4*n**2. Let d(a) = 12*a**2. What is z(d(w))?\nAnswer: 288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(-1 + sqrt(567))**2.\nAnswer: -2272 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*w - 24 = -q, 5*q - 4*w = 35 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/5 - 614*d**3\/5 - 5958*d**2 - 381186*d\/5 - 1478412\/5 = 0?\nAnswer: -26, -9, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 36*d**2 + 0*d + 22*d**2 + 18*d**2 + 3*d - 3. Let v be 40\/60*(1*-6)\/(-1). Calculate c(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 less than or equal to 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6 - (4 + -1) - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from eeueue.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/333 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-491*q + 213*q - 556*q + 80*q)*(5*q**2 - 5*q**2 - 2*q**2).\nAnswer: 1508*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 13*d - 1. Let i be z(-13). Let f be (-4)\/(i*(-2)\/17). Let s = 66 + f. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 + 5*y**4 - y**4 + 3*y**2 - y + y**2 + 1 in the form s*y + u + o*y**3 + d*y**4 + c*y**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 6 = -3*g - 5*t, 4*g + 4*t + 8 = 0. Let d be (g\/(-9))\/(0 - 1). Suppose 3*x + 4 = -5. Which is the second biggest value? (a) d (b) 3\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*z - 91800000. What is z rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {e: 3, n: 1, o: 3, l: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/40 + -7\/40. Let d(w) = -w**3 + 5*w**2 + 8*w - 7. Let n be d(6). Suppose g = n*g + 4. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*z - 687 - 553 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53155494 * -0.02.\nAnswer: -1063109.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*(u**(1\/33)\/u)\/u)\/u*u)\/u*u*u*u*u*u*u\/u**(-5) assuming u is positive.\nAnswer: u**(331\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -326 * -0.05.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23588\/7 + -1273045\/378. Calculate the common denominator of j and 89\/294.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 2*i + 2*i)*(-7*i**2 - 4*i**2 + 2*i**2) + (0*i**2 - 2*i**2 + 4*i**2)*(5*i + 0*i - 3*i) to the form o*i**3 + d + a*i**2 + k*i and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 58254878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + (4 + -1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = 12, 0 = 2*a - 4*o - 7826. Suppose -4*s + a = x, -5*s = -3*x + 3038 - 7943. List the prime factors of s.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11 - t + t**4 + 11*t**4 + t wrt t.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174277 is divided by 5446.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8689 or -8688?\nAnswer: -8689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 - 4. Let z = -0.1 - -0.1. Let t = -13.7903 + 17.7903. Put z, t, p in ascending order.\nAnswer: p, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 20. Let u = 441 + -390. What is the remainder when u is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(-13)*a**(-3\/5)\/(a\/a**(-2\/7)) assuming a is positive.\nAnswer: a**(323\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/12)*t**(-7))**(-1\/15) assuming t is positive.\nAnswer: t**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502 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: Suppose 4*s - o - 4*o + 46 = 0, -3*s - 2*o = 23. Let d(v) = -29*v**2 + 15*v + 4. Let j be d(s). Round j to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*i + 1, 0 = 5*r - 2 - 13. Suppose k - 2*k - i*g + 58 = 0, -k + 59 = 3*g. Suppose -5*h + 385 = q, 2*h - k = 4*q + 98. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12 and -179\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-14) + 6\/14. Let h = -5 - -4. Is h - (-804)\/(y + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 2*v - 3. Let o(z) = -z**2 - z + 1. Let m(k) = -2*o(k) + y(k). Let s be m(0). Sort -2, s, 0, 4 in increasing order.\nAnswer: s, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 790*y - 4819. Calculate t(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 + 456 = 26*b - 251. Solve -29 + b = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2022 + 0?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1) - 5*1\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - 103) + -61 + 150.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11281 - 12*b - 11281.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32053315.\nAnswer: 5, 7, 359, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11072*-5563.\nAnswer: -61593536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 49 + 40 = -136. Solve 22*r = q + 85 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 6*w**2 - 2*w + 21. Let b be z(-5). What is the third derivative of -6*t**6 - 13*t**2 + 21*t**b - 153 + 153 wrt t?\nAnswer: 1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443299922.\nAnswer: 2, 13, 17, 59, 89, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = j + 5, j - 7*v + 11 = -2*v. Suppose -18 = j*i - 6*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78219 and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22201 (base 3) to base 16.\nAnswer: -eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {z: 1, w: 2, d: 1, p: 2, f: 1, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/324*3\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/126)\/((-8)\/364*13)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 0.08. Let r = 48.9 + -44. Let j = 0.1 + r. Which is the closest to t? (a) -4 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237395, 237393, 237391, 237389, 237387?\nAnswer: 237385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 10 = -3*z + q, 0 = q - 4. Suppose 0 = 14*y - z*y - 973. List the prime factors of y.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -100 + 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3452470 by 16058.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/9)\/((-4)\/(-12))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/1128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 12)*10\/(-25). Let y be (-57)\/((-16)\/k + -3). Let v = y - -286\/5. What is the second smallest value in v, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(130)*2*3)\/((-5*sqrt(60)*-2)\/(sqrt(6) - sqrt(42)\/(sqrt(7) + 2*sqrt(7)))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + 2*r**2 + 1. Suppose 3*o + 5*p - 1 = -0, -3*p + 3 = 3*o. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*g)*(-38 + 16 - 147)*(-3*g**2 + 2*g**2 + 0*g**2).\nAnswer: 338*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 28*q + 115. Let l = -34 - -36. Is 4 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 6. Let r(p) = -p. Let n(i) = 3*r(i) - u(i). Let v be n(-10). Let b be (2 + (-355008)\/v)*80. Round b to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1385 + 1385 + 69*m**2)*(2*m**2 - 5*m**2 + 0*m**2) - 4*m**4 + 5*m**3 - 5*m**3.\nAnswer: -211*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 38. Let p = x + 36. Calculate the remainder when p is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = d - 5, 3*d - 40 = 3*x - 25. Which is the nearest to 0.05? (a) d (b) 63 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/34 or 1?\nAnswer: 33\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 4*h - 421 = 0, 280*b = 295*b - 4*h - 877 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + s + 23. Let x be b(0). Let z be x + -1 + -1 + 3. Suppose -2*u + 6*u = z. Solve 4*j + 2*d - 18 = 0, -8*j + 5*j + d = -u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 60.2 (c) 3\/2 (d) -3 (e) 1 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170907104 divided by -5340847.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4405 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Suppose b = 6*b + 5. Let r(s) = s**2 - 2*s**2 - 3*s - 2*s**5 + 2*s**2. Let v(f) = b*r(f) + 3*u(f). Find the third derivative of v(d) wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 28 + 17 = 52 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -258*r + 256*r - 4, -2*r = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let u(q) = -q + 1. Suppose -n + 260 = 3*n. Let j = -70 + n. Let c(z) = 37*z + 6. Let s(f) = j*u(f) + c(f). What is s(a(t))?\nAnswer: 42*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 75, 78, 81?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaccacacaacc. Give prob of picking 1 a and 1 c.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k - 34. Give f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (44\/33)\/(16\/396). Suppose x = u - 5*d - 33, u - 26 = -5*d. Calculate the lowest common multiple of u and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -1 (b) 3\/20 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*o + 257*o + 5*g - 20 = 0, 4*g - 16 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -75421 (base 9) to base 5\nAnswer: -3044130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9*-0.122562.\nAnswer: 0.3554298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103259829 - -103259825.80000086. Let c = f + 3.2. What is c rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.05678 + -0.05678. Sort -16, -2\/13, i, -1, 1\/4 in descending order.\nAnswer: i, 1\/4, -2\/13, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234*n - 20*n**2 - 234*n)*(n**3 + n**3 - 4*n**3 + (n**2 + 0*n + 0*n)*(-2*n + 0*n + 3*n) - 2*n**3 + 2*n**3 + 3*n**3)*(0 + 4 - 2).\nAnswer: -80*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 9729*g + 6069600.\nAnswer: 3*(g - 2400)*(g - 843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2363 + -5345\/2. Let w = r - -289. What is the common denominator of w and -3\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, -0.2, 0, -96?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, 2\/3, -0.3, 0.1, -3 in decreasing order.\nAnswer: 2\/3, 0.25, 0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/((-36)\/168)*(-12)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3 - 36967*y**2 - 17716336*y - 2136590412 = 0. What is y?\nAnswer: -36483, -242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2679*z + 29560 = -1940*z for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*s - 1048*s = 1736*s - 436*s - 316980 for s.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2553\/31 and -81 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 - 7*l - 4. Let y = 25 - 21. What is the remainder when u(-5) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115116 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 574 = 378. Let v be 80\/24 + -3 - h\/(-6). Let b = -202\/5 + v. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1496 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5390 - 5414 - 5417 + 16221 + 60*r**2.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(192)*-2.\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18409326 and 13026?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 70*r - 1760. What are the prime factors of m(26)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -33, -70, -121, -186?\n\"Answer: -7*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Suppose 9 = q*a - 16. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(51)\/sqrt(3))*1.\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (111\/(-12) + 9)*(-40)\/2. Suppose -5*y = 5*q - 346 - 1734, d*y - q - 2068 = 0. Is 69 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.57837 months?\nAnswer: 0.0002981975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 156\/(-546)*(-28)\/(-2) + 298. Calculate the greatest common divisor of g and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 693 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - t - 20 = 0, -3*t - 2*t = -5*i + 40. Suppose 7*g + 2*g + 54 = 0. What is the tens digit of 2\/i*118 + (-2)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) -0.1 (c) -2\/9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6146, -3\/4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199 + a**3 - 12212*a - 12215*a + 24424*a + a**2 to the form w*a**2 + k*a + p*a**3 + g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 20*u**2 + 35*u - 1. Determine q(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402 by -134.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/1)\/(14 - 15). Which is the nearest to m? (a) 1\/20 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 269*t. Let r(h) = -h**2 - 3*h + 6. Let n(c) = -c**2 - 2*c + 4. Let y(p) = 6*n(p) - 4*r(p). Give y(m(q)).\nAnswer: -144722*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1 (c) 1\/2 (d) -3 (e) -0.5 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/5 - 11*w**4\/3 - 52*w**3\/3 - 32*w**2 + 19*w - 1. Determine y, given that f(y) = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33739 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4715, 34, -96 in descending order.\nAnswer: 4715, 34, 2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 74a9?\nAnswer: -74a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0.0365383142647\nAnswer: 1.9634616857353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -520 - -5?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {i: 6, h: 1, y: 1, n: 1, b: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1323 + 3020. List the prime factors of y.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 6*f**2 + 7*f + 8. Let i(b) = b**3 + b**2 - b - 1. Suppose -4*s - 5*d - 4 = -13, 0 = s + 3*d - 4. What is s*a(m) + 6*i(m)?\nAnswer: 2*m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227236 - 0.05056?\nAnswer: 2227235.94944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16024, 32076, 48142, 64228, 80340, 96484?\n\"Answer: f**3 + f**2 + 16042*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1226, -2, 1 in descending order.\nAnswer: 1, -2, -1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 132003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6)**3*a**12\/((a\/((((a**(-5\/4)\/a)\/a)\/a*a)\/a))\/a) assuming a is positive.\nAnswer: a**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925 = -5*b - 3*k, -5*b + 448 = -5*k - 477. Let u = -186 + 260. What is the highest common divisor of b and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(((-3464)\/5629)\/((-45)\/(-65)))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 152753.5 nanometers?\nAnswer: 0.01527535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e44 (base 16) in base 13?\nAnswer: 11936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 7.3.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 - 6*y**2 + 6*y**2 + (-y**3 - 2*y**3 + 4*y**3)*(1394 - 1394 + 142*y + (4 + 3*y - 4)*(1 + 1 - 3)) + 0*y**4 - 3*y**4 + 2*y**4.\nAnswer: 136*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmsm when four letters picked without replacement from seesemeemsssemsss?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**2 - 40*x + 65. Let c be j(-20). Is 20\/(-10)*(-4)\/(-8)*c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**2\/5 + 367986483*q\/5 + 183993243\/5.\nAnswer: -3*(q - 61331081)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6*a = -175. Which is greater: a or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110499*t + 75885 wrt t?\nAnswer: 110499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(36)\/(-5*sqrt(24)\/sqrt(2)) + -3 + sqrt(6)\/sqrt(2)*6 + sqrt(3))**2.\nAnswer: -204*sqrt(3)\/5 + 3568\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*x + 6 - 6 + 6.\nAnswer: 252*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1862919 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/11))\/l**(-2\/11))**(-20)\/((l**(-1))**(3\/2)*(l\/((l\/l**(-3\/8))\/l))\/(l\/(l**2\/l)*l)) assuming l is positive.\nAnswer: l**(-2395\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258*d**2*h**2 + 30*d*h - 2*d - 2*h**2 wrt d.\nAnswer: -516*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.2. Let j = -32 + 27. What is the second smallest value in c, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079398 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e3e28 (base 15) to base 4.\nAnswer: -11221223132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-202)\/(-28) - 4) + -4. Let t = -2\/7 - i. Put -3, 5\/2, t in increasing order.\nAnswer: -3, t, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - 1.1. Let a = -1.903 + 2.16. Let x = a - 0.257. What is the third smallest value in j, -1.4, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(-1*(-7)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162, -239, -366, -537, -746?\n\"Answer: i**3 - 31*i**2 + 9*i - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -11, -4, 41, 142, 317, 584?\n\"Answer: 3*c**3 - 8*c**2 - 10*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/r)\/(r**(-1)*r))\/(r*r*r**1)**(-35)*r\/(r\/(r**(-6)*r))*r*r*r**(-4\/7)*r*(r*r\/(r*r*(r*r**7*r*r)\/r*r))\/r**5 assuming r is positive.\nAnswer: r**(570\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5849 divided by -5849.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 39 and 20\/193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -848\/5. Let z = 938 - 967. Which is the smallest value? (a) z (b) -2\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2)**(-7\/5)*c**(-24)\/(c\/(c\/(c\/(c*c**20*c)*c))))**(-8) assuming c is positive.\nAnswer: c**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 6*p + 44. Let w = 11 - p. What is the second derivative of -2*i - i**2 + 0*i + w*i**2 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 3 - 4 - s. Let z(j) = j - 4*j + 0*j + 2*j. Let c(q) = m(q) + 2*z(q). Differentiate c(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. Suppose -15 = -3*r - m. Suppose r*a - 51 = 29. Calculate the greatest common divisor of 8 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, l: 4, x: 6}. Give prob of sequence xnl.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2513 - -2817. Calculate the remainder when 840 is divided by h.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 24. Let x(i) = i**2 + i + 1. Give x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11312010031 (base 4) to base 13.\nAnswer: -418516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 86 = -3*d - d, 0 = -2*d + i + 48. Calculate the remainder when 90 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 35*g = 129 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(972)*5)*2)\/(sqrt(396) + (sqrt(396) - 2*sqrt(396))*-1 + (1*sqrt(396) + sqrt(396))*5).\nAnswer: sqrt(3)\/1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*36\/2025)\/(6\/9).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 104*m - 304. Let r be x(3). Solve -j - 2*a + 1 = 0, 10*j = r*j + 5*a - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897?\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046432 rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1252\/559 - -1502025\/652912. Find the common denominator of 17\/1606 and n.\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513947 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34952309.\nAnswer: 7, 37, 134951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**8\/5880 + u**6\/1260 + u**3\/6 - 2*u. Let h(b) be the second derivative of i(b). Factor h(z).\nAnswer: -2*z**2*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1194957 millilitres to litres.\nAnswer: 0.0001194957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtcs when four letters picked without replacement from cssscstvcsc.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 653 - -1?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 73.1. Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1332\/15 + 2\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*h + 2*h + 8, 0 = -2*f + 5*h - 2. Suppose -5*s + x + 7 = 0, -f*s + x + 5 + 0 = 0. Let k(w) = 3*w - 2. Calculate k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*b = 556 - 212 + 401 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 722 and 664 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 181?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (-15)\/(17 + -2). Which is the smallest value? (a) g (b) 0.02 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - b - 23 = 0, -5*g + 55 + 0 = 4*b. Let i = g + 6. Calculate the remainder when 34 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534514315 to the power of 1\/2, to the nearest integer?\nAnswer: 23120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1609587598 to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 115, 6, 0.5, 5 in descending order.\nAnswer: 115, 6, 5, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 798 - 791.51. Let z = r - 6.911. What is z rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -237*z**2 - 231*z**2 + 470*z**2. Let n(i) = -113*i. Calculate n(v(y)).\nAnswer: -226*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*((s*((s**(-1\/4)*s)\/s)\/s)\/s)\/s*s))**(1\/8) assuming s is positive.\nAnswer: s**(5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/11 (b) 7 (c) -10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -20, -301, -4, 33 in increasing order.\nAnswer: -301, -20, -4, 0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhuuqghhlqu. Give prob of picking 1 l, 1 u, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 32*l - 6. Let g(m) = 21*m - 4. Suppose -239 = -9*x - 302. Calculate x*g(t) + 5*w(t).\nAnswer: 13*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*t + 2*k + 293196, t = 3*k + 58636. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j - v + 5, 4*j + 3*v - 19 = 0. Let r = -1 + 1. Suppose r*l + 66 = 4*q - 2*l, -6 = q - 5*l. Solve -q = j*f - 3*y, -5*f + 1 = -f + y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-66)\/18. Let d be (((-48)\/(-10))\/(-6))\/((-1)\/5). Solve 0 = b - 5*g + 22, -5*b - h*g + d*g - 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27140741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*x + 5*x + 12*x + 176. Let v = -33 - -46. Let p(c) = c**2 - 13*c + 12. Let z be p(v). Solve 2*s + z = -4*t + 36, 3*s + t = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-50))\/(12*((-5490)\/(-100))\/(-9))?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3840)\/(-176) + 4\/22. Solve -7 + f = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, 0, -51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1412 and 136258.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:25 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 12. Let m(a) = a**2 - y*a + 2 - 4 - 1 - 4. Calculate m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*x - 2*v + 3265, 0 = 4*x + 3*v - 6543. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 2549719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621430377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 661*c = -659*c + 1319*c + 26, 3*c - 51 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**2 + 7*a**2 - 8*a**2 + 21*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -236 - -235. Let p(o) = 5*o**2 + 117*o + 48. Let i be p(-23). Which is the third biggest value? (a) 37 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8043 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a + 4*r - 21, -2*a = -8*r + 48. Put -5, 7, a, -2, 5 in descending order.\nAnswer: 7, 5, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(336))\/sqrt(12))\/sqrt(4).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 5, t: 1, r: 6, g: 3, f: 3}. Give prob of picking 1 t, 1 f, and 1 n.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6646 divided by -108373.\nAnswer: -6646\/108373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q - 42. Let j be u(-12). What is the highest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459901 by -221.\nAnswer: -2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18165, 34761, 51357, 67953, 84549, 101145?\n\"Answer: 16596*l + 1569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - s = -80, 5*s - 160 = -2*p - 2*p. Does 40 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2 + (-5)\/(-1)). Let r(v) = v**2 - 5*v + 1. Let h be r(5). Let y be (3\/12)\/(-1*h). Sort u, 4, y in descending order.\nAnswer: 4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -681.\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 3010*d + 117221\/3.\nAnswer: (d + 13)*(d + 9017)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 33 + 6*-1)*8\/(-84).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 3 - -29) + -9 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - t + 2. Let a be u(-2). Which is greater: a or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*g + 23 - 23 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 2*sqrt(84))*-2 - sqrt(84)) + (-2*sqrt(84) + sqrt(84))*-1)\/(((-2*sqrt(108) + sqrt(108))*6)\/sqrt(9)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by -7.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2571?\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 + -1445\/8. Let p = 0.04 - 0.04. Which is the second biggest value? (a) p (b) q (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-14)*(1 - -6). Suppose f*a = a + 25. Suppose -y + 27 = 3*y + a*n, 0 = -5*y - 5*n + 35. Calculate the remainder when 23 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108026 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/20 + 13*q**4\/12 + 7*q**3\/3 + 9*q**2\/2 - 198*q. Let c be (-40)\/24*(47\/(-5) - -1). Determine i(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -995, -0.1, -8320 in descending order.\nAnswer: -0.1, -995, -8320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4 + 3 + 6 - a. Let p be v(0). Suppose 0 = 2*b - 19 - p. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5 = 7*k. List the prime factors of -1*(-3 + 0 + k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 52*k**2 - 9*k + 22. Determine z(2).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*q - 9, -v = -2*q - q - 3. Suppose -15*n + q*n + 1065 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16*f + 19. Let m = 23 + -11. Let w be o(m). Let q = -65 - w. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5))**(-2\/37))**42 assuming m is positive.\nAnswer: m**(420\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 668783059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1. Let z(j) = -2*j - 2. Let m(b) = -2*b + 2. Let l be m(2). Let i = -120 - -124. Determine i*k(g) + l*z(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((92\/184)\/((-8)\/(400\/(-190)))).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -130224 (base 5) in base 6?\nAnswer: -35240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2579.623 - 2573. Let o = -18.62474 + h. Let j = o + 12. What is j rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/8, -2.4, -0.5, -9?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.3954?\nAnswer: 1.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2192\/685 + -1 + 4\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 13*c = 9. Solve 2*p - j = 4, p = -0*j + j + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.7 in -3, -51, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130212 - 654532\/5. Let l = u + 38427\/55. What is the common denominator of 31\/6 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*l**4 + 30*l**4 + 14*l**2 - 36*l**4 wrt l.\nAnswer: 432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t*(t**0*t)\/t*t)\/t)\/t))**17\/((t\/(t**1\/t))\/t*t)**(-4\/27) assuming t is positive.\nAnswer: t**(463\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.2. Let l = -0.2 - u. Which is the nearest to -1? (a) l (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 208\/132 + -1 + (-8)\/12. Which is the closest to 2\/5? (a) o (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3048 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910 by 26.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 2508078*y + 524204604507 = 0.\nAnswer: 418013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*h - 22*h**2 - 24 + 9 + 15 wrt h.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 17. Let p be g(15). Suppose -8 = -b - 3*l, b - 2 = -5*l + p. Let q be 2\/b - (-68)\/14. Solve -q*y + 1 + 24 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 15, -5*r - 103 = 3*a - 3. Let j = 22 + r. Let g = 2 + -2. What is the third biggest value in j, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -1\/1192, 0?\nAnswer: -1\/1192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 55 = -2*z - 2*z, 0 = -5*h + 2*z - 45. Let x = h - -11. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46671144 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 1, x: 4, n: 2, c: 9}. Give prob of sequence kc.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*r**2 + 17*r**2 - 6*r**2 - 2*r**6 + r**6 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 23 - (2500 - 2571).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 556686976*d - 880738384?\nAnswer: 556686976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5*(-12)\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*b - 14, -t = -3*b - 5*t + 5. Let c(u) = b*u**2 - 4*u**2 - u - u - 1. Let y(i) = -2 - 2 + 3. Determine -c(v) + y(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 16 + 16)*(0*j**3 + 3*j**3 - 2*j**3)*(11*j**2 + 17 - 17).\nAnswer: 132*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from oovpc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 30*o**2 - 3*o - 3. Suppose 5*v + 2*c = -30, 0*c + 24 = -4*v - c. Let y(s) = 31*s**2 - 3*s - 3. Let x(r) = v*y(r) + 5*t(r). Factor x(i).\nAnswer: -3*(3*i - 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41\/60 - 1\/15. What is the closest to -1 in z, -4, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507124.\nAnswer: 2, 126781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98055125 by -11435.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, w: 2, m: 1, v: 4}. What is prob of picking 2 v and 1 l?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/16 of a day?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9068949 millilitres in litres?\nAnswer: 0.0009068949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391174986099 plus -7?\nAnswer: 391174986092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = -355. Suppose 23 = -2*a + d. Let k = 29 - a. Solve 0 = -h + k*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3222732 times -53\nAnswer: 170804796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5732 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -6, -9, -12, -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -89*g**3 + 2*g**2 - g - 2. Let b be p(-1). What is the greatest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1415 + -28244?\nAnswer: -2692a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 17*a**4\/12 + 11*a**3\/6 + 7*a**2\/2 - 21*a. What is the units digit of y(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 29 = 2*i. Suppose 0 = 4*s + i - 13. Find the common denominator of (s - -5)\/((-30)\/(-291)) and 107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57*(-2)\/6*(-2)\/((-28)\/(-14))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44773894 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from aaafaaf?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*n + 215*n + 2*p - 5 = 0, -n = 4*p - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6210 (base 7) to base 15\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from hmmmhmhhmhhmh?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 1:54 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.18 + 32. Let r = -60988.3 + 60988.11999998. Let m = k - r. Round m to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m + 7. Determine o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f**2 - 50*f - 4. Let x be u(6). Calculate the highest common divisor of x and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 15.99982. What is u rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 2*j**2 - 2*j + (4*j**2 - 2*j**2 + 0*j**2)*(1 - 5 + 3) - 75 + 144 - 67 + 14*j**2 in the form h + m*j + r*j**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3146 * 2929\nAnswer: 921.4634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -23667*z**3 + 5*z**2 + 2. Let g be f(10). Round g to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29543457*q**4 - 32011527*q**2?\nAnswer: -709042968*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -831 (b) 0.1 (c) -5740 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/74 and -21\/2516.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7 + 5*v + 2*v - 6. Let w(x) = x**2 - 2*x - 89. Let m be w(11). List the prime factors of u(m).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((25\/(-10))\/5). Let h be u + 67 + -1*1. Find the second derivative of -j**3 + j**3 - h*j + 49*j - 2*j**3 wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 2*m + 1. Let y be i(1). Suppose 0 = -3*g - y - 8. Which is bigger: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210291564 to the nearest integer?\nAnswer: 14501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(16\/5)\/(r\/(r**22*r)))\/((r**10*r)\/(r\/r**0)) assuming r is positive.\nAnswer: r**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 28. Let y = x - 3. Sort y, 1\/5, -0.5 in decreasing order.\nAnswer: 1\/5, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20329.989938 - -20330. What is v rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, 10772, 29607, 55966, 89843, 131232, 180127, 236522?\nAnswer: 300411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3340, -3341, -3342, -3343, -3344, -3345?\n\"Answer: -i - 3339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, 761, 5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u. Let d(o) = -5*o**3 - 13*o + 152. Let v(q) = -d(q) - 4*i(q). What is the first derivative of v(x) wrt x?\nAnswer: 3*x**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*m**2 + 618*m**2 + 246*m**2 + 858*m**2 + 1213*m**6 wrt m.\nAnswer: 145560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/21)*p*(p*p\/(p**(-13\/4)*p))\/p assuming p is positive.\nAnswer: p**(365\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -219. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.404 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from {o: 6, a: 3, i: 6, p: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9741649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - (-126)\/14)\/(8\/(-92)). Solve 13*s - v*s = 15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1 - 1316*f - 2*f**2 + 1322*f + 0*f**2 + 3*f**2. Determine y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5062.\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(500) + -4*(1*sqrt(500) + sqrt(500)))*2 + -1*5*(2*sqrt(500) - sqrt(500)))**2.\nAnswer: 180496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -2 (c) 1 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1913.19112 and 0.4678.\nAnswer: -1912.72332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 7:33 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, 0, 0.1, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -13*n - 12*n. What is the remainder when 112 is divided by n*3\/(-11 - -5) + 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3774040 divided by -4?\nAnswer: 943510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from gaaffsaaaosfhaooa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -301 + 313 - (-14 - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.7. Let r = -187 - -187.06. What is the nearest to 0 in u, 3\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -265*y - 31. Let c(r) = -15. Give 2*c(s) - p(s).\nAnswer: 265*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(-10 - 1 + 0)*(17*g + 2*g**3 - 17*g) to the form r*g + y*g**2 + i*g**3 + s and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -397.2 * 5\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 14*r**2 + 7*r + 46. Give s(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 14*a**2 - 18*a - 34. Let s = -1036 - -1021. What is k(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, 7\/25, 5, -23?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 - (-56)\/8 - -11. Suppose 986 = 37*q - w*q. What is the remainder when 165 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433834.\nAnswer: 2, 216917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by -1\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -7 (c) 6\/13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 9*d - 288. What is the remainder when 42 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 1)*(9*h + 13*h + 42*h) in the form r*h + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t - 102. Let a = t - 135\/4. What is the third smallest value in 1, 3\/4, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-4*k - 2*k + 3*k + (0 - 3 + 4)*(k + 2*k - k) + 0 - 2*k + 0).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*v**3 + 2111*v**2 - 81492*v.\nAnswer: 48*v + 4222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 992184157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37829 is divided by 2520?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*t + 23, 4*x + x + 5 = -5*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1008 and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163064?\nAnswer: 2, 11, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1921*d + 2709 - 2709 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 + 18?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13972 is divided by 13962.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15013 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3928 = 345*b - 2972. Solve 5*z = f + 5, -3*z - b = 13*f - 9*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1154462 and -4.4?\nAnswer: -5079632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4732*i + 2386*i + 3099*i - 1 + 1.\nAnswer: 753*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 754\/(-232) + (0 - -5).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 18. Let j = -3 + v. Let d be 0 + 0 + (-38)\/57. Which is the third smallest value? (a) -1\/5 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:03 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 49*g**2 - 99*g + 102. Is u(41) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 e when four letters picked without replacement from {o: 17, e: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p + 6 = 0. Suppose 4 = -2*h + c, 6*c = -h + p*c + 16. Solve h = 2*w + 5*x - 11, 2*w + 2*w - 3*x + 17 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*w - 2044, 5*w + 5*c - 2580 = -540. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 3, o: 1, v: 4}. What is prob of picking 1 v and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-13383)\/42 + 24\/(-28). Is o less than or equal to -316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 10:02 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19276 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19365 + 28943. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1654*z**2. Let s(g) = -72673*g. What is y(s(k))?\nAnswer: -8735377592566*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -31. Let k be (((-275)\/20)\/(-11))\/(2\/v). Is -9 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1739\/5271 + 6\/1757. Which is the fourth biggest value? (a) -3 (b) 2 (c) f (d) 33 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (390\/(-91))\/((-8)\/(-10)). Let f = -46 - -103\/2. Let v = f + k. Which is the closest to -1\/2? (a) 2 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 475 = -1869. Let s = m + -161. What is the remainder when s is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 26. Let s be o(-20). Let b be -3 - (-6 - (-6 - -6)\/(-1)). Solve -b*z = s - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192157\/22 + -8737. Calculate the common denominator of v and 59\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3416664*f + 3416667*f - 14 = -4*d, 14 = 2*d - 2*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7769 > -365148\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 962 divide 15138976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyuyuyyydyj. Give prob of sequence ujyd.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*q**3 - 5 + 5 - 1234*q + 1224*q wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s + 5*h, -3*s + s - 10 = -2*h. Let y = 1\/5787 + 5783\/23148. Sort 0.4, 0, s, y.\nAnswer: s, 0, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 13080.6, -3, -4.\nAnswer: -4, -3, -0.2, 13080.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4 + 0 - 5\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 91596353546?\nAnswer: 91596353548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5412)\/30*(-30)\/12. Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -175839 in increasing order.\nAnswer: -175839, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488883 and 52323.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5192 - -9169. Does 77 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -507 + 512. Suppose 50 = 2*q - 0*q. Solve -w*f = -0*f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 - ((-6)\/15 + 0 - 714\/(-85))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4074 is divided by 120.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85564318 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -1)\/((-6)\/(-8)). Suppose l = 4*l + h*f - 83, 2*f = l - 11. Suppose -2*m - 2*m = -28. Calculate the greatest common divisor of m and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -401*h - 816926 + 770410 for h.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 60, -12, -130, -282, -456, -640?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -35\/227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r - 186. Let a be o(17). Let c = -7 - -4. Is (a + 1058\/(-3))*c - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3596040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -585*b**3 + 2*b**2 - 277*b.\nAnswer: -3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*223979\nAnswer: 671937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25414.8 kilometers in micrometers?\nAnswer: 25414800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 5, -1, -3 in ascending order.\nAnswer: -37, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 543 + -432. List the prime factors of d.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -183 in decreasing order.\nAnswer: 8, -3, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = 0, -3*s - s = 3*l - 3292. List the prime factors of s.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359365?\nAnswer: 5, 71, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 1\/8 (c) 8 (d) -1 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2236 and 2156708.\nAnswer: 28037204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 + 12*l**4 - 39*l**3 - 120*l**2 + 144*l.\nAnswer: 3*l*(l - 3)*(l - 1)*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(sqrt(242) + sqrt(242) + (sqrt(242) + sqrt(242) + 1 + 1)**2)*2.\nAnswer: -5828 - 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/33674 and 3\/904.\nAnswer: 134696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*d - 3*y, -8*d = -11*d + 5*y - 34 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-11) - (-816)\/132. Solve 1 = -2*l - 5*a, -3*a = -l - 1 + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 624890767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-7)*(-171 - (-64766)\/318).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52900418, 105800837, 158701256, 211601675?\n\"Answer: 52900419*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5019 - 3*p**2 + 588*p + 5019 + 48*p**4 wrt p?\nAnswer: 576*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z. Let b be (-2*1)\/(4 + -5). What is the units digit of c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:46 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5568185*b**2 - 5568185*b**2 - 7*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15317467 is divided by 112?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*j + 24, 0*j - 2*j = 4*u - 48. Suppose -303 = -98*z + 89. What is the lowest common multiple of z and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -34. Is 19 a factor of 92\/5 - (-18)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Suppose 0 = 2*p + p. Suppose 152 = 5*q - s*b, -2*q - 3*q + 4*b + 151 = p. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - s + 3. Let y(v) = -4872*v**2 - 319*v + 957. Calculate -638*l(x) + 2*y(x).\nAnswer: -10382*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 4. Give f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 19*v**2 - 23*v + 18. Is s(-18) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6185 is divided by 151.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + 0 + 7 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2 + 500*j + 4600 = 0.\nAnswer: -115, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*25\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/(-3))\/(8\/12) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2 (c) -1265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(2*x - x - 3*x) + 11*x - 4*x - 3*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 - 40*z**4 + 1488*z**3 - 18864*z**2 + 98064*z - 181440.\nAnswer: (z - 60)*(z - 42)*(z - 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 7*r**2 - 16*r - 86. Give n(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 38*l**2 + 40*l**2 - 76*l**2. Let v(u) = 5*u**2. What is h(v(a))?\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/446 equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -5 + 14 + -6 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + (-1168)\/(-511). Solve i + l*i = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 - 3*q - 3. Let v be t(3). Let w(r) = r**3 + 6*r**2 + 4*r + 2. List the prime factors of w(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189.9827 - -0.0173. Let q = a + -190.4. What is the biggest value in 2, -1\/79, -2\/11, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 33*z**2 - 267*z - 97. Determine q(15).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4\/3, -17837, 5\/151?\nAnswer: 5\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*d**2 - 179*d**2 - 164*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1315 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l. Let b(m) be the third derivative of 173*m**4\/24 + m**3\/3 - 2*m**2 + 239*m + 7. Calculate k(b(x)).\nAnswer: -865*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 4. Let o be (3\/6)\/(30\/(-8)). Let h = o + -1\/5. Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2346 + -598. What is the remainder when b is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -567176 - -1150669. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 at most -39158.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 183*k - 13351. What is i(73)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**21)\/j*j)\/j**14 assuming j is positive.\nAnswer: j**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l + 9. Let s(q) = 5*q**3 - 3*q**2 + 3*q + 6. Let h be s(-1). Let d(v) = 10*v + 14. Determine h*d(m) + 7*k(m).\nAnswer: -m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*p**3)*(14 + 98 + 58).\nAnswer: 510*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 56*t - 226. Let w(z) be the first derivative of 0*z**2 + 9 + 0*z**4 + 0*z**t - 1\/5*z**5 - 6*z. What is the derivative of w(j) wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 39*b**2 + 63*b + 930. Let r be y(-40). Suppose 3*n - 3*m - 684 = 0, 0*m - 2 = -m. What is the highest common divisor of r and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 812, 1757, 2710, 3671, 4640, 5617?\n\"Answer: 4*w**2 + 933*w - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 + 3*v - 8. Let n be d(-6). Let o be (n\/(-8))\/((-5)\/20). Suppose -3*r + 5*c = -2 + 19, -21 = -o*r - 4*c. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 e, and 1 p when four letters picked without replacement from sppppeeeeeppeepeeepe?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/7)*i*i\/i**8*i**7\/i*i\/(i\/(i**(-5)*i*i)*i) assuming i is positive.\nAnswer: i**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 56*r + 1. Let o(v) = v + 1. What is o(b) + u(b)?\nAnswer: 57*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233525061.\nAnswer: 31, 491, 81041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57195856 and 1769086.\nAnswer: -55426770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*134\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -1\/45*o**6 - 1\/5*o**5 + 4\/9*o**3 - 1\/2*o**4 + 4*o**2 + 16*o + 0. Suppose i(s) = 0. What is s?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13\/5))**36 assuming n is positive.\nAnswer: n**(-468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:40 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32333 + 3?\nAnswer: -32330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.36808 rounded to one decimal place?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185166430 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.99 - 0.01. Suppose 4*p + k = -2, -k - 4 = -5*p + k. Which is the third smallest value? (a) -0.3 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p + 19632 = h, -3*h + 14715 = 3*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 + 21*w**3 - 13*w**3.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3704689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196505 is divided by 296?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8678 - -12836. What is the remainder when t is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/115 and 157\/690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10360382 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8811493 is divided by 495?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1e?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14175324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 14. Let q be m(-10). Suppose q*d = -d. Let g(c) = c + 13. Let h be g(d). Solve n + 2*i = -h, 0 = 2*n + 5*i - 0 + 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3*t + 1. Calculate q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56626 is divided by 306?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*g + 15 = 0, -2*n + g = -2*g - 6. Let j(t) = 2*t**3 - t**2 - 3*t + 2. What is the remainder when j(2) is divided by n\/2*(5 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 15*f + 59. Let d = -153 + 171. Let r be g(d). Calculate the greatest common divisor of r and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, z: 1, o: 10}. Give prob of picking 3 o.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*-7*3\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44165 by -121.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(-5 + -3*(-2 + ((sqrt(117) + 2 - sqrt(117))*-2 - sqrt(117)))))**2.\nAnswer: 6210*sqrt(13) + 31086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eekk when four letters picked without replacement from {k: 11, e: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvcbcwcwcnbcccncc. Give prob of sequence nw.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and -0.09.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 212*n - 18 - 7)*(-19 + 63 + 10) as k + z*n and give z.\nAnswer: 11448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (156\/13)\/(3\/2). Suppose 2*a = 3*a + x*a. Solve -v + 14 = -5*f, 4*v - 18 = f - a*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -508.\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -14*w + 20. Suppose -f - 16 = -5*h, 14 = h + 3*f - 2. Differentiate -d**2 - 38*d**3 + 35*d**3 + d**w + h wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.99538 millennia in decades?\nAnswer: 1699.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11*j**2 - 3*j - 25. Let x(i) = -5*i**2 + i + 12. Let n(d) = 6*v(d) + 13*x(d). Let l(a) = a - 1. Let q(s) = -2*l(s) - n(s). Give q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225842998 to the power of 1\/3, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 222262455?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9)\/(h**(-6)*h)*(h**(1\/2))**34)\/((h*h**(-1\/5)*h*(h*h*h**0)\/h)\/(h\/h**2)**(20\/11)) assuming h is positive.\nAnswer: h**(8714\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 4*p**2 + 2*p - 1. What is the common denominator of m(-4) and -59\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1375*y + 2796. Determine s(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxmmmmumx. What is prob of sequence xux?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.9687 and -16.2.\nAnswer: -161.49294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 3:55 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1694903*39\nAnswer: -66101217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 + -0.2. Let s = 3 - d. Let p = 0.1 + 0.3. What is the nearest to 1 in -2\/7, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35174 and 1237634.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 50*z**2 - 435*z - 720.\nAnswer: 5*(z - 16)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -417012 (base 8) to base 5.\nAnswer: -13420022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from ttruthyhttrthr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = 0. Let y be b\/(1\/(-2)*2). Solve y = x - 2*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((0 - -4) + -4) - (18 - 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -341124 divided by 124\nAnswer: -2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3396573 divided by 178767\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*(-36)\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8932 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1337? (a) 0.02 (b) -0.3 (c) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 6.8?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17889 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-4) + -3)*-2*3. Let q be h\/(-4)*5\/(45\/24). Solve 4*l - 8 = 2*l - 5*m, -m - q = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 2*o**2 + o. Let p be f(-2). Let y = -4 + p. Let b(a) = 2*a - 3. What is the units digit of b(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s - 2. Let n be t(-2). Suppose 0 = -n*f + 71 + 93. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, 2, -1.\nAnswer: -4, -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7. Let w(r) = -r**3 + 2*r**2 + 4. Let g(c) = -c**3 - c**2. Let i(m) = s*w(m) + 2*g(m). What is the derivative of i(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942061556 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216196.\nAnswer: 2, 3, 61561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -66. Let t be -2 + (y\/(-55) - 6\/10). Let r be t\/(-9) - (-1 + (-2704)\/(-3)). Round r to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**2 - 9*b + 2. Let k(d) = -8*d**2 - 8*d + 2. Let g(f) = 7*k(f) - 6*n(f). Calculate g(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 22*n + 3. Let a be q(-17). Let p(l) = -5*l + 2 - 1 + 4*l. Let j be p(-7). What is the greatest common divisor of j and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {s: 3, y: 5, v: 8, r: 3, c: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 50 - 86. Let m = 8 + -5. Let j be (m\/r)\/(1\/(-9)). Solve j*a - 1 = 2*g + 3, 4*g = a + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/169 and -61\/32.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 343906 + -102828018\/299. Let h = n - -6\/23. Sort 2, h, -1\/5 in ascending order.\nAnswer: -1\/5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*j = -13, -l - 3*l + j = 6. Which is the closest to 2\/3? (a) l (b) -0.5 (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**4 - z**3 + z**2 + z + 1. Let u(h) = 30*h**4 + 10*h**3 - 10*h**2 - 10*h - 16. Let q(j) = 10*g(j) + u(j). Differentiate q(b) with respect to b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-117)*6\/(-5). Which is the biggest value? (a) f (b) 3\/5 (c) -4 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 141326472.\nAnswer: 2261223552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16956 is divided by 16921.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 - 13*z + 12. Let h be s(1). Calculate the greatest common factor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide (-187)\/44 - -5 - 72932\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 33*t + 30. Let x(g) = -g**2 - 17*g - 15. Let i(d) = -6*k(d) - 11*x(d). List the prime factors of i(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 176a3 + 5?\nAnswer: 176a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -3*i - 305, 18*u + 17*u + i - 21 = 34*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = 0. Let v(b) = -b**2 - b + 8. Let c be v(t). Let o(p) = p**2 - 3*p - 7. Let n be o(c). Solve 0*g - 5*g + 2*a = -n, 22 = 2*g - 3*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.372323 + 49\nAnswer: 49.372323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 7*c + 6. Let b(l) = -l**3 - 18*l**2 - 2*l - 39. Let j be b(-18). Let v be d(j). What is the tens digit of v - (1*3 - (102 - 9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*i + 7. Let p be -4299996 - 6*i\/3. What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 530246 and -148086.4629.\nAnswer: 382159.5371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -91*j + 189. Let s(h) = 19*h - 38. Determine -3*q(g) - 14*s(g).\nAnswer: 7*g - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1269 + 1700 - 3545 - 2513*x**3 wrt x.\nAnswer: -7539*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqyqyqyyyyyiqyvy. What is prob of sequence qqvq?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/22 and 47\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-16575)*5*5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -21. Let u be (-4)\/48*-4 - r\/(-12). Let q be u*2 + (1 + 6)\/7. Solve f + q = z, -4*z - 2*f + 5 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -789*r + 712*r - 1839*r + (-5 + 1 + 3)*(2 + r - 2) - 2*r - 4 + 4 to o*r + j and give o.\nAnswer: -1919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273.14 + -270. Let g = 2.646 - -0.054. Let j = g - m. What is j rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -179*d - 4. Let a be z(-1). Determine w so that -158*w**2 + 140*w + 157*w**2 + a*w**3 - 294*w**2 - 20 = 0.\nAnswer: 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-51057)\/39711)\/(6\/(-14)). Let -4\/11*d**2 + 0 + 0*d + 2\/11*d**b = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + o + 1)*(53*o + 123 - 123).\nAnswer: 53*o**2 + 53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 15.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-2340)\/(-8))\/13)\/((-1)\/14). Let s = k - -531. Suppose -2*b + 2470 = -s. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 + -265. Let d(z) be the first derivative of z**4\/4 - 4*z**3\/3 - z**2\/2 + 5*z - 1. What is the units digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 0.213 (c) 11261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, -2, -898, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**3 - 71*i**2 + 57*i - 10.\nAnswer: (i - 5)*(3*i - 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y - 5 + 5)*(-2 + y + 2) + (-21*y + 40*y - 11*y)*(-y + 2*y + 0*y) as z*y + x + s*y**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 - 3*f + 3. Let t be i(2). Let n be t - -2*(-6)\/(-4). What is the remainder when -8*(-2 - 6\/n) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60437\/1175 + -1296\/25. What is the nearest to 1 in -4\/7, b, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240340140 to the nearest integer?\nAnswer: 15503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114211 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2123.98 + -2097. Let q = l + -27. Which is bigger: 0.03 or q?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824348 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3217671.1 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2 - 7*a - 20. Let u be q(4). Which is bigger: u or -5\/326?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1412, 5710, 12872, 22892, 35764, 51482?\n\"Answer: -x**3 + 1438*x**2 - 9*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 26*f**2 + f + 1. Determine n(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 2*p + 6*p as i*p + h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3443.155 hours to microseconds.\nAnswer: 12395358000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -25. Let z = 45 - 40. Let s(a) = -2*a - 4. Let m be s(-4). Solve 0 = -z*u - d + m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 343 = 2*k, 3*a + 276 - 1087 = -5*k. Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(242) + 3*sqrt(242) + sqrt(242) - sqrt(242)) + sqrt(242) - sqrt(242)) + 4.\nAnswer: 4 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -34, -70, -122, -190?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a = 43*a - 18. Suppose w = -a*g - 61 + 186, 3*w + 45 = g. What is the remainder when 77 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 640.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -2.3, -5 in decreasing order.\nAnswer: -0.07, -2.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 597182*c + 0 - 596723*c + 7 to a*c + v and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1*(2 - 9). Suppose -3*x - 2*x = 20, 11 = 5*l + x. Suppose 0 = -3*b - l, 2*b = p + p - 8. Sort k, p, -3 in increasing order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 12, w: 1}. What is prob of picking 1 z, 1 i, and 1 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46782, -93569, -140352, -187131?\nAnswer: -233906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159471947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) -1 (b) -1250 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 70, -5, -4 in increasing order.\nAnswer: -5, -4, 4, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 1. Let d be ((-4)\/2)\/(16\/24). Let f(a) = -2*a + 2. Determine d*f(q) + 5*r(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-six fifths of a meter?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-343)*(-1 - 3)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*k + 3*d*m + 2367*d + 546*k*m**3 - 5*k + 700*m**2 - 319 wrt m.\nAnswer: 3*d + 1638*k*m**2 + 1400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-21))\/(69\/(-21) - -3). Suppose 24 = 8*d - x*d. Suppose 0 = d*u - 2*l - 51 - 557, -5*l + 328 = 2*u. List the prime factors of u.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.4 (b) 46962 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from ivvcnitnviviclt?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*l - 3*l + 685, -5*l + 679 = -2*h. Let k(j) = -j + 10. Let s be k(7). Suppose -s*v = -0*v - l. What is the greatest common divisor of 18 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*n**2*v - 12*c*n**2 - 39*c*n - c*v - 207*c + 4865*n**2 wrt n.\nAnswer: -2*c*v - 24*c + 9730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68962 bigger than 68962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-6))\/((-3)\/(-30)). Let x(p) = -p**3 - 3*p**2 - 8*p - 5. What is the tens digit of x(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/47397 and 5\/51948.\nAnswer: 22181796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 11) to base 9\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2\/7, 5, 1\/4, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Find the second derivative of z + 2*t - t**5 + 0 wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*n**2 - 43*n**2 + 7*n**2 to the form q + l*n**2 + z*n and give l.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-9))\/(1419\/12771).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65512 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 62*v + 2816. What is the smallest common multiple of 1040 and y(-46)?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**5 + 59624*y**4 - 8915012*y**3 - 45826824*y**2 - 36852192*y = 0?\nAnswer: -15054, -4, -1, 0, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2 + -5 + -4 + 1 + -4.\nAnswer: -12 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00098262 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.0283 - 0.2741. What is d rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -313915\nAnswer: -37\/313915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*v = 392*v - 1797*v + 520*v - 1221 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*k + 7*j - 6*j, 2*j = 4*k - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4553 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.018716907 - -27.018665907. Let f = 27 - w. What is f rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 8}. What is prob of picking 1 y and 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2561+-133\nAnswer: -132.7439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*c + 10. Let n(t) be the first derivative of -56 - 6*t**2 + 50 + t**3 - c*t**3. What is the second derivative of n(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143a7b (base 12) to base 10.\nAnswer: 338495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100810 rounded to the nearest 1000?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Let n be (-8)\/(-3)*9\/4. Is t less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8752 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -60\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crhu when four letters picked without replacement from {c: 4, h: 4, r: 3, k: 1, u: 1}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -349927 divided by -490?\nAnswer: 349927\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.82 and 2.\nAnswer: -15.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.6092 - -0.8518. What is o rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -1355, -2727, -4099, -5471?\nAnswer: -6843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghghh. Give prob of sequence hg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 13) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 + 26 - 26)*(b + 0*b + 0*b) + 2 - b**4 - 2 + (-3*b**2 + 2*b**2 + 2*b**2)*(2*b**2 + 2*b**2 + b**2).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -27 - 58*q**2 + 15*q**2 + 44*q**2 - 9*q. What is f(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014624 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.02 (c) -16 (d) -349.478\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, 32, 173, 458, 935, 1652?\n\"Answer: 8*i**3 - 11*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u + 123. Determine c(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89090.\nAnswer: 2, 5, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h - 1 = 0. Suppose 0 = w - 1, -4*c + 5*w - 4 = h. Suppose 8*s - 13*s + 25 = c. Calculate the lowest common multiple of 9 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3021, -3055, -3147, -3327, -3625, -4071?\n\"Answer: -5*i**3 + i**2 - 2*i - 3015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198.50011374 - -198.5. Round x to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhudrucuuy. Give prob of picking 2 d and 1 u.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26022 or -26053?\nAnswer: -26053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 118202573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 + 14304*i**3 - 28596*i**2 = 0.\nAnswer: 0, 2, 4766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 3, -10, -23?\n\"Answer: -13*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/(-87))*16*18\/864?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 248.\nAnswer: 3\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/10)\/((167\/668)\/(5\/(-2)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.8655012 + -68.8655413. Let l = 62 + a. Round l to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1 - -21 - (-52 - -56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 703322*p**2. Let x(f) = f - 7. Calculate x(i(d)).\nAnswer: 703322*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9)*182\/(-364)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 + 2. Determine q(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -185418630 - 239\nAnswer: -185418869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 72.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 300 - 297. Solve 4*l + 6 = -o, 0 = 3*o - r*l + 7*l + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.2 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2703 + -2703. Suppose -5*p + 8*p = 9. Solve g*t = p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 3 - 1\/1. Suppose 2*l = -w, 3*w = -3*l - a - 4. What is the third derivative of -4*k**6 + 2*k**6 + 3*k**6 - l*k**2 wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6652121763\/4 + 423801\/2*c**2 + 3\/4*c**4 - 651*c**3 - 30654939*c = 0. What is c?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x*x**(-1\/30)*x*x*x*(x\/x**(-6)*x)\/x)\/(x*x\/x**(-8)*x**(3\/17)) assuming x is positive.\nAnswer: x**(1933\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((58420\/(-138))\/2)\/(30\/(-18))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 501453752 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -20*s**4 - 35*s**3 + 5*s**2 + 35*s + 15 = 0.\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwd when three letters picked without replacement from wididh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 + 126. Let b(d) = 3*d**3 - 6*d**2 - 1. Let j(i) = -4*i**3 + 7*i**2 + 1. Give y*b(s) - 6*j(s).\nAnswer: 3*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83, 166, 249, 332?\n\"Answer: 83*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + -11*(-20)\/16. What are the prime factors of 2\/7 - (-2)\/n*6837?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -51. Suppose -y*p + 9948 = 2*o, 0 = -3*o - 2*p + 6*p + 14899. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -13*s**5\/20 + 7*s**2\/2 - 11*s. Find the first derivative of w(g) wrt g.\nAnswer: -39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z - 13. Let u be i(0). Let o(r) = -5*r**3 + 6*r**2 - 4*r. Let c(a) = -15*a**2 - 4*a + 2*a**2 + 11*a**3 + 13*a. Calculate u*o(t) - 6*c(t).\nAnswer: -t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000323 to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520936 divided by -156.\nAnswer: 10018\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.1 - 17. Let m = 8\/5 - 21\/10. Put u, m, -3 in ascending order.\nAnswer: -3, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38809348 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(171)*-1 - (-3 + sqrt(171) + -1))*4)**2 + -4.\nAnswer: 768*sqrt(19) + 11196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**3 - a**2 + 1. Calculate the remainder when x(1) is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4740007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 131. Let f = d - -50. Let l = 24 + f. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 93 + -4?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 0*q - q**3 - 1 + 0*q**2 - 3\/4*q**4. Find the third derivative of d(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 0, 176 in decreasing order.\nAnswer: 176, 3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g + 3. Let p(s) = -344*s - 144. Let u(o) = 48*c(o) + p(o). Let i be 0*(-1)\/(-1 + 2). Let m(l) = i + 2 - 2*l**2 - 2. Calculate m(u(y)).\nAnswer: -128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*i**3\/3 + 17278*i**2 - 175485*i + 74150\/3 = 0. Calculate i.\nAnswer: -7415, 1\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4276 + -1703. What is the remainder when w is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from wffpwpjjfjffp.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 141.\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3\/7 - 59104*s**2\/7 - 31037488*s + 1128318912 = 0. Calculate s.\nAnswer: -7406, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + (-24)\/24 - 14)\/((-4)\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 5. Let w be s\/2 + (-1)\/(-2). Let k be 4\/(12\/3) + 19. Solve 0 = 5*u - 4*c - k, 0 = -2*c + w*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (-15 - -17) - (-17 - -22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2502 is divided by (-1 - (-22)\/18) + (-166944)\/(-2538).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-30)\/4) - 4\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982079 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 102*b = 38*b. Solve 4*r + b*r = -5*t - 1, 3*t = -r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 7*c**2 - 45*c + 19. Calculate the remainder when (-1843)\/(-5) + 6\/(-10) - 3 is divided by f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 8*r**2 - 4*r. Let v(g) = 2*g**3 - 7*g**2 - 3*g + 1. What is -3*n(s) + 4*v(s)?\nAnswer: -s**3 - 4*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or -324566?\nAnswer: -324566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6 + 64. Calculate the highest common factor of j and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/(21760\/(-4080)).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90696140 - 281*i**2 + 90696140.\nAnswer: -281*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 + 6*n**2 - 6*n**2.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47b3b (base 13) to base 14.\nAnswer: -35d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/57 + 3484362\/266 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 173*x - 7 - 5 + 5 - 2. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -41*b - 39*b + 3 + 81*b. Let q(c) = -2*c - 7. Let j be (2\/4)\/((-4)\/48). Calculate j*q(f) - 13*h(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202652.\nAnswer: 2, 3, 11, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204553 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -33*y + 20. Is y at least -1\/710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = -1505*n + 1476*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14804 is divided by 315.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 4311865.\nAnswer: -63\/4311865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10694 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*g = -2395265, 0*w + 4*w = -5*g + 2395273. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 90*l - 398. Determine p(-30).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5224208372 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i - 75. Let u be v(8). Let t(n) = 397*n**2 + 12*n + 22. Is t(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-3)\/(-4))\/(-1))\/(168\/(-448)). Let r = 9 - -5. Solve 3*i + r = -3*f - 2*f, 0 = f - i - t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16547 - -16?\nAnswer: 1655d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 19. Suppose 3*r - b = -35. Let w = 10 + r. Solve a + w*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/159 and 11\/78.\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751934857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let b(p) = -43*p**2 - 7. Let o(x) = x**2 + 2. Let l(w) = -b(w) - 6*o(w). Give l(y(k)).\nAnswer: 148*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-90)*-5*4. Solve 10 = -z*d, 2*u - 5*d - 24 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 9*b - 2. Let i be z(7). Let h = 28 - i. Suppose -56 - 54 = -5*j. Calculate the greatest common factor of j and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 4, s: 1, k: 2, d: 1}. Give prob of sequence dkuj.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2918 = 7*c - 10*c, 2332 = -4*h - 2*c. Which is bigger: -584 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -5 (b) -1\/6 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38085, 38173, 38261, 38349, 38437, 38525?\nAnswer: 38613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.148 in -1, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10)*(-5)\/(-2). Let h = -101\/5 - -278\/15. Sort 2, f, h in descending order.\nAnswer: 2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 150003*h + 12. Let g be n(-4). Round g to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -68. Suppose -3 = j - f. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/7, 4, 5.\nAnswer: -3\/7, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 284061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.147 - -60.147. Let h = 59 - l. What is the third biggest value in 2, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 + 41*g + 35. Calculate r(15).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43737 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 19*c**2 - 67*c - 42. Let m be o(14). Is 20\/477 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sososssosssoss?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/43, 0.5, 0.08, -4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 13\/21*z**7 + 0*z**4 - 27*z + 0*z**6 + 0*z**5 + 0 + 0*z**2 - z**3. What is the second derivative of p(f) wrt f?\nAnswer: 520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 15. Suppose -4*l = -185 - 359. Let r = l - 135. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -83*s - 84*s + 167*s - s**2 + 2*s**2. Let l(c) = 156*c**2. Give w(l(a)).\nAnswer: 24336*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 158\/12 - 4\/(-2) and -39\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.237925 decades in millennia?\nAnswer: 0.07237925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/9 + 20*l\/9 + 112\/9 = 0.\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 814472074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 579213187 by -3.\nAnswer: -579213187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-1 - 1) + 4) - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1335 - -838. Does 53 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145815 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 distance between -37812 and 1?\nAnswer: 37813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5292e + -1?\nAnswer: -5292f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13172.58747ns in weeks?\nAnswer: 0.000000000021780071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3269 in 5, -0.05, 2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2042133441 - 1?\nAnswer: 2042133440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*(-9)\/12*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 1\/2*v**4 - 2*v**2 + 3 + 3*v**3 + 0*v + 1\/30*v**5. Let q(d) be the second derivative of r(d). Solve q(g) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 20\/(-3). Let b be (-33)\/(-7) + (-2)\/p. Suppose -3*z + b = -4. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/10*(5 - 0). Let l = -3 - -9. What is the remainder when 66\/(-4)*q\/(-9) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 90 - (-4 + 58)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 4*n + 14. Let y(w) = -16*w**2 + 21*w - 71. Let s(a) = 11*o(a) + 2*y(a). Does 18 divide s(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 2336295.\nAnswer: 4672590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*n = 225, 8 = w + 5*n - 7. Suppose 2 = -2*f + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/230*-6*275\/10*(-2)\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 9. Let c be j(1). Let m be (c\/(-6))\/(46\/(-9) - -5). Factor -3*y**5 - m*y**4 + 7*y**5 + 815*y**2 + 8*y**3 - 815*y**2.\nAnswer: 4*y**3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102759787 is divided by 586?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 - 0) - (-10 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 4*l - 9. Let v be m(-6). Solve 2*r - v = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -0.1 (c) -1.334 (d) 14 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*a**3 + 20*a + 124\/3*a**2 + 0.\nAnswer: 4*a*(a + 15)*(2*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1516*t + 9070. Give l(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-14)\/(-812)). Let g = 34 + q. Let l(x) = 1. Let v(t) = -2*t**3 - 2*t + 5. Determine g*l(o) - v(o).\nAnswer: 2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -5959336 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0715 + 1.9285. What is the nearest to n in 0, 5, -2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 175*n + 5. Let a(j) = -57*j**2. Calculate a(r(x)).\nAnswer: -1745625*x**2 - 99750*x - 1425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 504477704 to the power of 1\/2, to the nearest integer?\nAnswer: 22461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 357442219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4164, 108, -5, 2, -8, 3 in descending order.\nAnswer: 4164, 108, 3, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.76760776 rounded to 2 decimal places?\nAnswer: -7.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Suppose 45*v = -30*v - 75. Let l(p) = 14*p + 1. Calculate v*l(i) + g(i).\nAnswer: -13*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12*d**2. Let s(a) = 18*a. What is h(s(q))?\nAnswer: -3888*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3350 - -3458. What is the greatest common factor of k and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8050655.\nAnswer: 5, 1610131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4636456654.\nAnswer: 4636456649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/(-18)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -140111 (base 5) in base 16?\nAnswer: -1618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132237.72 seconds in hours?\nAnswer: 36.7327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1793273770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2200 or -25\/7?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**2 - 2. Determine c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/(-2*sqrt(9)) - sqrt(18) - -5*sqrt(18)*-1)\/(sqrt(144) - ((-1*sqrt(144)*-2 - sqrt(144)) + sqrt(144))))**2.\nAnswer: 169\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 12 = -9*k. Suppose 4*s - k = 2. Let j(a) = 20*a + 17. What is the remainder when j(s) is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 181600?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 0, 4*a + 2*b = 3*a + 1. Let j(h) = -2*h**2 + 3*h + 3. Let u(l) = 5*l**2 - 8*l - 8. Let q(n) = a*u(n) + 8*j(n). Let i(c) = 3*c. Give q(i(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 405451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0*c**3 + 195*c + c**3 - 4 - 193*c. Let q be d(2). Solve 3*z = -4*j - 6, -j = -2*z - 2*z - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 14*j + 17. Let h be o(13). Is (1 + 1)\/(h\/765) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jilijiwwjoomjoiwjowm. Give prob of sequence jili.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 3*l + 6, 8 = -4*l. Suppose p*b - 2*b = -6. Suppose -o - b = -9. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1826517358 - -5?\nAnswer: 1826517364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145302633 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 15628118001394?\nAnswer: -15628118001393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -163, -237, -321, -421, -543, -693, -877, -1101?\n\"Answer: -v**3 + v**2 - 70*v - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/4 and 11\/((-55)\/70)*(-22)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367, -704, -2407, -4688, -7493?\nAnswer: -10768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754482869 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/((-28)\/63). Suppose -b*h + h = 0. Let a be h + (-4)\/4 + 3. Solve 12 = -4*z - 4*x, 0*z - 2*z - a = -2*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5088192.3823 and 0.3.\nAnswer: 5088192.6823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11455.1 times -106.8\nAnswer: -1223404.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/2, -12, 19\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -40 (c) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2512220 and 9\/32?\nAnswer: 20097760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7*z**(2\/9))**38)**17 assuming z is positive.\nAnswer: z**(41990\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p**2 - 26*p - 26. Let y(q) = 7*q**2 - 16*q - 17. Let l(o) = 5*w(o) - 8*y(o). Determine l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x + x - 4*x)*(0 - 1 - 4) + (x - x + 3*x)*(0 + 2 - 3))*(0 - 3 + 2)*(3 - 3 + x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 586365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 21*c - 41. Let u be v(-18). What is the greatest common factor of u and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - 24. Let n = b - -44. What are the prime factors of 49 + -1 + n + -4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(378\/12)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51735 by 5.\nAnswer: 10347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 169, -13, 0.126, 0?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73, -150, -237, -340, -465, -618?\n\"Answer: -k**3 + k**2 - 73*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = 42. Let s = -9 + g. Suppose 5*b - 80 = -s*t, -5*b + 61 = -b + 5*t. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -7. Let f be -1 - -2 - 1 - -5. Suppose 0 = -0*x + f*x - 15. Solve -p = -x + m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16735 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 410 = 2*i, -2*y - 300 = -4*i + 540. List the prime factors of i.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (-140)\/12 + (-30)\/(-5). Sort n, -7, 1\/4 in descending order.\nAnswer: 1\/4, -7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 8. Suppose 131 + 22 = g*t. Let d = t + -48. Solve -d = c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*s**2\/3 + 368*s + 8515\/3.\nAnswer: -(s - 65)*(19*s + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (12 - (-21 - (-19 + 4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((0 - -2)\/(-1)). Suppose h = -5*m + 8*m - 189. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100412 + -5?\nAnswer: -100421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 41*v**2 - 386*v + 12. Let d be q(10). Calculate the greatest common divisor of d and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*a**2 - 476*a**2 + 1 - 1.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3 + 173192*b**2 + 519562*b + 346372 = 0.\nAnswer: -86593, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154916.75226 - 154918. What is d rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7651.\nAnswer: 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -3*i. Let q = 3707\/3120 + 51\/208. Let x = -11\/6 + q. Which is the closest to -0.04? (a) x (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 3*s**2 - 3*s**2)*(-s + 3*s - 3*s + s - 2*s - 3*s + (2 + 2*s - 2)*(3 - 1 - 1) - 2*s + 5*s - 2*s - 2 + s + 2).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109556 and 5246.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135.1 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4270*o - 4165. Let m(t) = -70*t - 68. Let c(k) = 245*m(k) - 4*y(k). Let g(r) = -30*r**2. Determine c(g(p)).\nAnswer: 2100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 6216*v - 24149160.\nAnswer: -2*(v - 7770)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g + 5*g + 4*g. Let m(y) be the first derivative of -y**2\/2 + 5. What is m(f(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*u**5 + 12*u**2 + 359942*u**4 - 6*u - u**2 - 359907*u**4 + 6*u**3 - 8 wrt u?\nAnswer: 660*u**2 + 840*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d**4 + d**3 - 61*d**2. Let p(t) = 32*t**4 - 4*t**3 + 183*t**2. Let o(c) = -2*p(c) - 7*s(c). What is the third derivative of o(h) wrt h?\nAnswer: 312*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + sqrt(150)\/sqrt(3))**2*-5 - (sqrt(50)*1*2 - (-1*1*sqrt(50) - sqrt(50))**2))*-2.\nAnswer: 420 + 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 5014380.\nAnswer: -50143.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2 and 115\/3587164.\nAnswer: 3587164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 7*o**2 - 4*o - 6. Let j(s) = -8*s**3 - 20*s**2 - 11*s - 17. Suppose -24*q + 102 = -30*q. Determine q*c(y) + 6*j(y).\nAnswer: 3*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11)*-4 - sqrt(11))) + 2)*1 + -3.\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -122, -532, -1198, -2114, -3274?\n\"Answer: k**3 - 134*k**2 - 15*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*6\/150*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50318556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 285 = -45. Let h = 2 - 23. Let a = y - h. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24 and -11\/2553?\nAnswer: 20424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035554 rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 5:03 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*r - 0*r, -2*r - 5*j = -20. Solve -3*a + a - 5 = -5*o, -r*a + 4*o - 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywt when three letters picked without replacement from wmmlywlyymtlwww.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 2 - -11) + -3 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2904 by 17.\nAnswer: 2904\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-694 + 694 - 15*w)*(-78 + 78 + 26*w**2 + 2*w**3) to the form m*w**2 + h + l*w**4 + c*w**3 + b*w and give c.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 8*g = 2. Let f(c) = 11*c**2 - 1. What is the tens digit of f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 minus 249586.9?\nAnswer: -249586.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1002243120 + -21?\nAnswer: -1002243141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 112*h + 108*h + 26 = 0, 3*h = -3*p + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083147 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/4, -2\/3, 0.5, 982?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/90)\/(12700\/(-300) + 42)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhkahkkkkaxkkhvkkkv. Give prob of sequence ha.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 57*r**2. Let u(o) = 196 - o - 196. Give j(u(y)).\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103 + 14 - 151)*(-2*v - v + 4*v) + (0 + 11 + 0)*(-2 + 2 - 2*v) to q*v + a and give q.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 145454 from 0.7.\nAnswer: -145453.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2115, 15758, 52445, 123696, 241031, 415970, 660033, 984740?\n\"Answer: 1920*z**3 + 2*z**2 + 197*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:19 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/15)\/(1\/(-10)). Let z = p - 6. Solve t + t + 4 = z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xopol. What is prob of picking 1 o, 1 x, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03216 or 0.408?\nAnswer: 0.408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-21)\/9)*-6. Let i(p) = 2*p + 11. Let j(z) = z + 4. Let t(a) = -6*i(a) + 17*j(a). Let c(b) = -2 - 20671*b + 0 + 20667*b. Give d*c(y) + 3*t(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -7. Let x be (-1)\/(7\/2 + s). Let a(q) = 2*q**3 + q**2 - 3*q + 1. Calculate a(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g + 30*g - 380 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/54*-4 + 1252\/36. Let m be (-7)\/t - (-228)\/15. Calculate the highest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*-4*6\/36?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose 0 = -0*l - z*l + 12. What is the tens digit of (l*1)\/(3\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/44*(-352)\/64. Let a be ((-6)\/4)\/((-2)\/(-4)). Put 5, v, 0, a in increasing order.\nAnswer: a, 0, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 37. Let n(u) = l*u - 5*u + 21*u - u. Let i(y) = y. Calculate i(n(f)).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f - 759. Determine p(-91).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 2043*x**5\/4 - 67*x**4\/6 - x**3\/2 + 5*x - 361. What is the third derivative of u(q) wrt q?\nAnswer: 61290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*x + 412*x + 360*x = -672 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 - 89 - (-2 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - 34) + 100 - (-14 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87ccba (base 15) to base 14\nAnswer: -c06c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0243 times -0.3\nAnswer: -0.00729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 95 = 68. Solve x*z - 3*j - 6 = -9, 2*z + 5*j = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 11*t - 25. Let w be b(2). Find the third derivative of -40*n**5 - 17*n**2 + w*n**2 + 43*n**3 - 43*n**3 wrt n.\nAnswer: -2400*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2712 + 1938 = 10*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:28 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 56 + 26. Let t(l) = -2*l - 2. Suppose 3*i = 4*w + 2*i + 5, 3*i = 3*w - 3. Let o(d) = -2*d - 3. Give a*t(p) + w*o(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*z + 22, -5*z + 16 = -9*z. Solve 0 = -8*b + 4*b - 2*s - l, 2*s = 5*b - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 79*o + 1333. What is i(-18)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796116 take away -344.5?\nAnswer: 2796460.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 164474.5.\nAnswer: 164474.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/1*(398 - 376)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4155*j - 3478*j + 1607*j)*(3*j**3 - 2*j**3 - 3*j**3) + 2*j**4 - 4*j**4 + 0*j**4 to w*j**4 + l + n*j**3 + u*j + q*j**2 and give w.\nAnswer: 12050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1209 + 19435\/16. What is the common denominator of -79\/292 and d?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 4*f. Let o be m(-3). Let s = 43 + 7. Suppose -59 = 7*d - 2*d + 2*q, s = -5*d - 5*q. Which is smaller: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 410 - 140*h**4 - 35*h**4 + 411 + (2*h**2 - 2 + 2)*(-4*h**2 + 0*h**2 + 2*h**2) as a*h**2 + w*h + f + m*h**3 + o*h**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.255.\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 13*b**2 + 11*b + 18. Let u be r(12). Suppose 0 = -11*j + 12*j - u. Solve 9*o - j = 7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h + 30. Let q be r(26). Let n be (1*4)\/(640\/q). Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 3, z: 3, l: 3, f: 7}. Give prob of sequence fli.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -96.195\nAnswer: 96.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1562, 1\/2, 2.4?\nAnswer: -1562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61265, -83679, -106093, -128507, -150921?\n\"Answer: -22414*c - 38851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 1:14 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/30 and 61\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -84.729.\nAnswer: 508.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-0.0191701.\nAnswer: -0.000575103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 963466169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 4*c + c)*(-527 + 724 + 1166)*((1 - 1 - 2*c)*(3 - 1 - 1) + 0*c - c - c) + 0 - c**2 + 0 to u + m*c**2 + d*c and give m.\nAnswer: 5451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 11*j**2 - 4*j - 16. Let k be c(11). Let r = 1078 - 1078. What is the second biggest value in k, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -244*l + 12909. What is the tens digit of i(-72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 219.02723 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2. Let g be 2\/8 + (-754)\/104. Let d(y) = -2*y**2. Give g*d(w) - 3*t(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -15. Let n be 13\/52*-18*2\/(-30). Let o(y) = y + 1. Let l be o(0). Which is the closest to l? (a) g (b) -2\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 42*j - 172. Give c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30522760.\nAnswer: 2, 5, 73, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8*1\/(-3))\/((-6)\/32)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 3, 102\/5, -0.1, -0.2, -0.4, 23\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/28)\/(18\/252))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*c = 2, 2*i - 7*c + 9*c = 8. Let a(t) = 2*t - 5. Let d be a(4). Solve 0 = -z - i*v - 2, d*z + 4*v + 10 = -v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*r - 761 = 0, 0 = 3*f + 5*r - 0*r - 721. What is the greatest common divisor of 95 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21312\/(-9324) + 106\/(-70)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 154280*i + 617200.\nAnswer: -5*(i - 30860)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(105\/36))\/(403\/(-2821))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1469*m - 2872 = -16093 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1088 - -1090. Solve -i*h - 3*l = 3*h + 23, h - 7*l = 41 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let f = -15 - -5. Let y be (-2)\/(-3)*6\/f. Sort -4, y, m.\nAnswer: -4, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110 - 0.5\nAnswer: -1110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 27.215. What is a rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.043054459337 + -10\nAnswer: -9.956945540663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -184453*z - 2028977. What is f(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 23*z - 1. Let h be 27\/12 - (-4)\/(-16). Calculate the smallest common multiple of q(1) and -8 + 9 + (h - -9).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 0*p**3 - p**3 + (2*p + p - 4*p)*(3*p**2 - 2*p**2 + 0*p**2).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-2) - (5 + -1). Suppose -k*q + 2*z = 3 + 4, 0 = -2*q - 2*z + 2. What is the closest to 2 in q, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2240195?\nAnswer: 5, 19, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 31*j - 12. Let w be f(16). Suppose -3*d = w*x - 3685, -4*x + 3661 = -12*d + 7*d. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -3, -159, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (5 - 9)) + (-15 - (15 - 16)) + 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4) + 9 - ((2 - 0) + 17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(2) - (sqrt(98)*2 - sqrt(2))).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/7, 1\/7, 0.77?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 450187\/1375 + -3600\/11. Find the common denominator of 47\/3 and h.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -226, -903, -2032, -3613?\n\"Answer: -226*t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614479?\nAnswer: 19, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -21 + 29. Solve -f*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146\/3 or 2179?\nAnswer: 2179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Suppose -4*l - 70 = 3*t, 2*l = -2*t + w*l - 65. Let d = -15 - t. Calculate the highest common divisor of 120 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 419 by 4.\nAnswer: 419\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2056726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023031 (base 4) in base 12?\nAnswer: -2951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1907, 1909, 1911, 1913, 1915, 1917?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 5)\/((-1)\/1). Suppose -z*n - 4 = -4*r - r, 4*n + 4 = 3*r. Let h = -184\/3 + 63. What is the biggest value in h, 1\/3, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9958, -19925, -29892, -39859, -49826?\nAnswer: -59793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2821 divide 86236817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = 2*q, -10 = -3*q + 7*q - 5*s. Let k = -1\/162 + -479\/1134. Which is the second biggest value? (a) -0.3 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/2279197 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9))**(-47)\/((p*p*p**16*p)\/((p\/((p*p**(-11))\/p))\/p)) assuming p is positive.\nAnswer: p**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -12*q. Let j(w) be the second derivative of -w**5\/120 + w**3\/3 - 3*w. Let o(h) be the second derivative of j(h). Calculate u(o(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 10. Let m be l(6). Let x be (-80)\/12*(-9)\/15. Solve 5*w - m*v = -2 - 1, 2*v = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.53 - 0.11. Let a = 56.92 + -44. Let t = z - a. What is t rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251*f**2 - 28038281*f + 10 + 28038281*f to the form l*f + n + x*f**2 and give x.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkktkhkkkkkk. Give prob of picking 3 k.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (71\/(-15) - -3) + (-7)\/(-21)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*n**6 + 3*n**3 + 95*n**2 + 1.\nAnswer: -12120*n**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 3 - 3 + (-3 + 2 + 2)*(4*v - 2*v - v) + 33*v - 45*v - 37*v.\nAnswer: -46*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 22 + m - 1 - 23 as s*m + g and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17483.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -118607?\nAnswer: 118584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*t + 1 + 3 = 0, 0 = 5*t + 20. Let o(l) = -6*l + l - 9 + 0*l. What are the prime factors of o(z)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:41 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2385*r + 5936 = -2371*r. Calculate the greatest common divisor of r and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -11\/151, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691863 greater than 1691986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35423.\nAnswer: 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.843198189 rounded to 4 decimal places?\nAnswer: -7.8432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x. Let q(b) = 26*b - 11. Give v(q(c)).\nAnswer: -546*c + 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 15. Let k be a - -2 - 12*-19. Find the third derivative of -7*n**6 + 10*n**2 - k + 231 wrt n.\nAnswer: -840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 30 + 0*q + 5*q**2 + q**3 + 3*q - 28. Let s be c(-3). Let f(d) = -d**2 + 11*d + 5. Let x be f(s). Solve -2*y + 5*v = x, 4*v + 0*v = -4*y + 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 190662.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522435840 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/90)\/(-2) - 66\/297. Let f(v) be the first derivative of 4 - 2\/5*v - 1\/10*v**2 + 1\/20*v**4 + r*v**3. Factor f(o).\nAnswer: (o - 1)*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**4\/r)\/r)\/r)**(1\/17))**9)**49 assuming r is positive.\nAnswer: r**(441\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 9*r**2 - 10*r + 4. Let p be n(-10). Suppose p = -q + 2*q. What are the prime factors of (-4)\/16 + 9\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**3 - 2*m**2 + 1\/30*m**5 + 0*m**4 + 0 + 0*m. Let r(j) be the first derivative of j**2\/2 - 1. Calculate r(s(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 2*n - 4 + 5 - 2*n. Let o(v) = -3*v + 1. Let h(j) = -k(j) + o(j). Let i(a) = 2*a. Give i(h(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 128*l + 861 = -2436 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3 - 235029*p**2 + 5351*p - 1895 wrt p.\nAnswer: 6*p - 470058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:45 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 29. Suppose -3*a + 5*a - 44 = -b, 0 = -3*b. Calculate the greatest common factor of a and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6747 from 0.346.\nAnswer: -6746.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1687 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*h + 10, 9*m + 9*h = -13*h + 26*h + 38 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-26) + (-380)\/(-520)*164. Solve 132*z = o*z + 36 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - -2*(3 + -3 - -5). Let s(d) = 4 + 4 - 4*d - 17 - w. What is the lowest common multiple of 14 and s(-11)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -7 + 28. What is the remainder when 24 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21595102 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngndgzdnzhfndndhgdd. Give prob of sequence ghzd.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepepepoeeooropepxpx. Give prob of picking 2 p and 1 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) -2\/39 (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6804 divided by 486.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -36*z**2. Let x(g) be the second derivative of g**4\/6 + 2*g. Give x(p(a)).\nAnswer: 2592*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372366.\nAnswer: 2, 3, 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*3)\/(sqrt(10) + ((sqrt(160) - (sqrt(160) - -2*sqrt(160))) + sqrt(160) - sqrt(160) - sqrt(160) - sqrt(160))).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:04 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6761 or -290688\/43?\nAnswer: -6761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-340))\/((-1)\/(-25)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 398 + -336. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 42, 75, 102, 117, 114, 87, 30?\n\"Answer: -o**3 + 6*o**2 + 22*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 - 7 = -5*w, 0 = -3*w + 4*a + 20. Let p(y) = -y**3 + 3*y**2 + y. What is p(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 + 1145*v - 319384 = 0. Calculate v.\nAnswer: 481, 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 2680*u - 2682.\nAnswer: 2*(u - 1341)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 487780 and 8975152?\nAnswer: 44875760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**3 - 25*s**2 - 44*s + 8. Is m(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 0, 8, -129, 20.\nAnswer: -129, -5, -1, 0, 2, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 5*u + 133, 3*u = 5*f - 323. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -19, 0, 0.2, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -719 (c) -8\/9 (d) 1.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*f = 20541 - 20581, c = 2*f - 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/11 in -2\/17, -1\/6, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-2)*2\/(-3). Suppose 3*x - 51 = 4*a, -x + 1 = -2*a - 24. Let g = a + 17. Solve -j + 7 = -u*n, 0 = 2*n + 2*n + g*j + 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -25.485. Let f = 0.514998763 + x. What is f rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d. Let o(s) = 17799*s. Calculate 5*o(c) - 5235*w(c).\nAnswer: 5235*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173 and 23701?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5218499 and 66924.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2462*x**3 + 756*x**3 + 953*x**3.\nAnswer: -753*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1759 + -303. Let d = 2061.9997102 + m. Round d to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -24*u**2 - 3134*u - 25103. Give n(-8).\nAnswer: -1567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447, 891, 1333, 1773?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84059 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 2*z**2 + 4*z - 3. Let y be q(2). Let l(m) = -m + 6 - 11 + 0*m + 10. What is l(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3788 + -3787.99995737. Round d to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133 or -4688\/35?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -49. Let z be d\/2*(-6)\/(-9) + -2. Let k(u) = 5*u - 25. Let y(g) = -1. Give z*k(w) - 25*y(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 32055475*n. Let q(r) = -4*r**2. Calculate q(u(j)).\nAnswer: -4110213909902500*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 = -14*o + 4*h - 274, h = 2*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*5 - (sqrt(12) + (sqrt(180)\/sqrt(3))\/sqrt(5)))\/(sqrt(30)\/(sqrt(100)\/sqrt(5))).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3164 - -3254. Solve g = -4*c + 66 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*u - 891 + 66 = 0. Solve -27*b - u = -92 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 3*f**2 - 3. Let a be d(3). Suppose 0 = -2*b + 14 - 6. Let x be 3\/b + a\/(-12). Sort x, -2, -0.4 in decreasing order.\nAnswer: x, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911111 greater than 911111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**4 + 0*j**4 + 5*j**4)*(1 + 4 - 3) + 14 - 4 + 4*j**4 - 3*j**4 to r*j**2 + k*j + v + p*j**4 + u*j**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1242 + 1246. Put -229, 3, z, -5 in increasing order.\nAnswer: -229, -5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3217, -1062, -5341, -9620, -13899?\n\"Answer: -4279*m + 7496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -3. Let f = m - 23. Let o(a) = 2*a + 4. Let r be o(f). Solve 3*t + 7 - 16 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32dc + -3b?\nAnswer: 32a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/103842 and -91\/62?\nAnswer: 3219102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232*q*t**3 + q*t**2 - 2395*q*t + 6*t**4 wrt t?\nAnswer: 1392*q + 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67\/6 - -21\/2. Let r = p + 4\/3. Sort -5, r, -0.4 in descending order.\nAnswer: r, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 6*n + 3. What is the smallest common multiple of 31\/2 + 2\/4 and m(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99316 rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8 = 14. Suppose g = 5, 7*g = 3*d + q*g - 71. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 6729*p + 229934. What is a(34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275688232 + 5*w + 275688232.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 13*w - 37. Let y be l(-8). Sort -2, 2, 4, y in increasing order.\nAnswer: -2, 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 - 39*g + 3133. Calculate the remainder when z(0) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8330.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3999631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585434903 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 5*s = 7*t + 15, 5*t = 20*s - 60 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 404?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -83, -119?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67756 - 95384 = -3*y. Let x(k) = 4844*k + 29348*k + y*k - 4. Let u be x(7). What is u rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 8:09 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbbbqbbqvq. What is prob of sequence bbqb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -35, -2, 31, -7, 2, 1 in decreasing order.\nAnswer: 31, 28, 2, 1, -2, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 1.1. Let p = f - 10. Let g = 0.041 + -0.041. Sort 3, p, g.\nAnswer: p, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, -2.8, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 1 - 1 - 10*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -159 + 244. Let b be (-7 + w)*3*1\/6. Let i(g) = 9280*g**2 + 2*g - 10. Let h be i(b). Round h to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156 - 195 - 146 + 59)*(-13*i - 4 + 2 + 0).\nAnswer: 5694*i + 876","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*o + 152*o = -115 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 426435656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 19 - 4. Let r be (-1)\/(1*y\/12). Suppose m + 4*m - l = 7, -10 = 5*l. Solve -5*q - m = r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179662600.\nAnswer: 2, 5, 13, 43, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1 - 11*x**2 - 2*x**3 + 11*x**2 - x. Give k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.01 + 17. Let m = s + 0.01. Suppose 11 - 1 = 2*o. Which is the closest to m? (a) o (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, -380, -770, -1160, -1550?\n\"Answer: -390*r + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 24 = 4*v, 447 - 482 = -5*v - 5*t. What is the biggest value in v, 0, 1\/12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*v + 674 = 0, 5*u = -4*v + 2128 - 461. Suppose 4*a - 3*m - u = 0, 0 = 3*a + 5*m - 247 - 23. Calculate the greatest common factor of a and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8713, -34854, -78423, -139420?\n\"Answer: -8714*l**2 + l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/96 (b) -0.6 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -95*i + 3. Let l be y(-1). Let b be 2\/7 - (-7)\/(l\/52). Solve b*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 331*m**2 + 62924*m - 1886. Calculate a(135).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 178742105 divided by 35748421\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/285 and 73\/513.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**2*v**3 - s**2 + 2*s + 453*v**3 + 3*v wrt v.\nAnswer: 12*s**2*v + 2718*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 972*k + 1031*k - 5825*k - 8490*k.\nAnswer: -12312*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0) + 2 - 1. Suppose -3*f - 2*h = -16, -2*f - f + 28 = -h. Calculate the remainder when f is divided by 5*6*m\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 338 + 250 = 32*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 26*v**2 - 14*v**3 - 26*v**2 as q + b*v**2 + h*v + s*v**3 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, 30, 83, 156, 255, 386?\n\"Answer: h**3 + h**2 + 29*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**5 - 5*o**4 + 10*o**3 = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2057) - -1*sqrt(2057))*6 + -1.\nAnswer: 4 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:50 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-11 - (-17 + 22))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*r = -1670*r + 182*r - 1473*r + 400816 for r.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a second in milliseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 take away 225?\nAnswer: -222.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 488*k - 570*k + 1394 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 144 = -43*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -316470.2 rounded to the nearest 1000?\nAnswer: -316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 8. Let l(q) = -4*q**2 + 4*q + 2. Let c(w) = -w**2 + 2*w + 1. Let f(u) = -2*c(u) + l(u). Determine p(f(o)).\nAnswer: -2*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -y - 81, -o + 26 = 3*y. Let u = -14 + o. Suppose 2*v = -4*l + 16, 3*v - 2*l = -3*l - 1. Sort v, -4, u.\nAnswer: -4, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 24. Suppose -2*i + b*q = 8*q - 160, 5*q + 20 = 0. List the prime factors of i.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -1\/12*m**4 + 0*m**2 - 10*m - 5\/6*m**3 + 0. Factor i(x).\nAnswer: -x*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)\/m**(-1\/5))**(-11) assuming m is positive.\nAnswer: m**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*u + 12 + 14, 5*u - 5 = 0. Let s be (-132)\/99*g\/10. Let c = -16 + 15.6. Sort c, s, -1, 0.4 in descending order.\nAnswer: 0.4, c, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, i: 1, t: 1, b: 1}. What is prob of sequence tibh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + 10\/(-3). Let z = n - -4. Suppose -5*m - r + 20 = 0, -m + 2*r + z = -15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwpwwppwqqqq. What is prob of sequence pqpq?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3227, 0, -0.22, -6\/5, -3, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 562 divide 23797081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 - 48\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.137 - 0.037. Let j(q) = -q**3 + 4*q**2 + 6*q - 2. Let t be j(5). What is the second biggest value in g, -1\/4, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96, -950, -3276, -7812, -15296?\n\"Answer: -123*b**3 + 2*b**2 + b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 337*f**3*n**2 + 128*f**3*n + 126272*f**3 wrt n.\nAnswer: 674*f**3*n + 128*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*d**5 + 27\/4 + 69\/2*d**2 + 27\/4*d**4 + 45\/2*d**3 + 99\/4*d.\nAnswer: 3*(d + 1)**3*(d + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -3 + 1)*3\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222418259801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 43. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -292) + -16 - 14. Calculate the greatest common factor of 1184 and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 + 4124*j**3 - 38*j**2 - 231678*j.\nAnswer: -12*j**2 + 24744*j - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2677511 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2\/31, -2\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 67\/4 of a microsecond?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -18 - (-36 - -14)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -2*p**6\/15 + 3*p**5\/5 - p**4\/3 - 2*p**3 + 4*p**2 + 6*p. Factor x(r).\nAnswer: -4*(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -35, -1, 37193.\nAnswer: -35, -1, 7, 37193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 12402?\nAnswer: -12411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1*(-2)\/(-12). Let t be (-8)\/(-28) + 1 + (-48)\/42. What is the closest to g in -2\/9, -0.5, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*q + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 7428?\nAnswer: 37140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2277.97 + 2278. Let c = -5476 + 5453.57. Let o = g + c. What is o rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 13376*q\/5.\nAnswer: -2*q*(q - 6688)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 223695 and 79536?\nAnswer: 3579120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13293\/5 + 2639. Let r = -1024.2 - -1024.6. Which is the third biggest value? (a) r (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 35520 = 4*m, 2*m - n - 3527 = 14247. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9200 + -9200.5. Put -1\/6, 3, 62\/5, z, -2\/7 in increasing order.\nAnswer: z, -2\/7, -1\/6, 3, 62\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 87.39098 decades?\nAnswer: 8.739098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439624 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -0.51\nAnswer: 8.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1.2, -0.25, 3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.230994357 rounded to three decimal places?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3802609 litres?\nAnswer: 380.2609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(-3\/4) assuming f is positive.\nAnswer: f**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1100001110100010000 (base 2) to base 3\nAnswer: -202100121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*g - 25. Suppose -g*s - 2*x = -3*s - 98, -s + 17 = 3*x. What is the least common multiple of s and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.3292 meters to centimeters.\nAnswer: 5432.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 118?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 5437646?\nAnswer: 5437645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 2*j + 2*j)*(-2*j + 2*j + 2*j)*(0 + 1 + 1).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125762160 - 10126840. Round i to the nearest 1000000.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 32.89?\nAnswer: 13.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d. Let c(i) = -2*i + 6. What is c(r(k))?\nAnswer: 6*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-35) - ((-4864)\/(-65664) + 29*(-2)\/54)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 1. Let h(a) = a - 1. Let b(w) = h(w) + u(w). Let v(s) = 4*s**2. Determine b(v(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2222000 (base 3) in base 8?\nAnswer: -4160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/7 or -0.35862?\nAnswer: -0.35862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let q = w + 4. Suppose 3*r = -r - 4*p - 460, -q*r - p - 448 = 0. What is r rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 39 - 102. Let -x*j - 12 - 3*j**2 + 6*j + 0*j**2 = 0. What is j?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 20 = 4*b. Is (2*b\/2)\/(6\/(-363)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 - -3)\/((-46)\/(-115)) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 3 - 2\/5*c**5 + 0*c**3 + 0*c**4 + 2*c**2 + 0*c. Find the second derivative of g(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-6594)\/7065*1*-9\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a. Let k(w) = 11*w + 224. Let q be k(-20). Solve -9*g + q*g = a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 263482 and 62369?\nAnswer: 349640614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 1\/((-3)\/6). Differentiate 2*y - 5 + h*y**2 - 2*y with respect to y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0167 - 27.9833. Let s = m + 27.9. Let v = 1.4 - 1. What is the closest to s in 3, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/15 and (-5 - 1014\/(-240))\/(1\/12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 55. Let v(q) = 147*q - 2196. Calculate the smallest common multiple of n and v(15).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 1:47 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28044446 - -52044446. Let g(r) = -2*r - 9. Let w be g(-6). Suppose -w*s - s + p = 0. Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(8\/72)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -87.5. Let d = 119.9 + -97.9. Which is the third smallest value? (a) f (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -227*l - 5. Let p(v) = -91*v - 2. Let j(k) = 5*p(k) - 2*r(k). Let c(t) = -t**2 + 2*t**2 + 7*t**2 + 1. Determine j(c(w)).\nAnswer: -8*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 267, 527, 797, 1083, 1391, 1727?\n\"Answer: u**3 - u**2 + 256*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-136)\/(-204))\/((-32)\/54*-3). Which is the nearest to 2\/9? (a) -5\/3 (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 793523114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let i be k*(-1)\/(3\/(-12)). Suppose -2*w + 0*w - i = 0. Which is smaller: -5 or w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -248 + 176. Let a = 109 + g. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 82*p**2 - 25*p + 64. What are the prime factors of j(4)?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + n + 1 + 0*n + (-2*n - 5*n + 2*n)*(-10 - 8 - 2).\nAnswer: 101*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3)\/(m\/((m*m**(4\/7)*m)\/m*m)))\/(m**(-3)\/(m**(-2\/13)*m)) assuming m is positive.\nAnswer: m**(1115\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:36 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 1. Suppose 5*w + 5 = -s, 0 = -2*w - 0*w + 2*s - 2. Let l be a(w). Let x be (l - -4) + 26 + 2. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 62*w**2 - 676*w + 29443. Give m(59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(sqrt(1573) + 0 + 2)**2.\nAnswer: -47310 - 1320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5349696 divided by -20264\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2 - 26\/4. Suppose 0 = -g + 5*k - 15, 3*g - 20 = -4*k - 8. Sort g, o, -3.\nAnswer: o, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56669801*-4\nAnswer: -226679204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3075 - 259 = -11*s - 408. What is the highest common divisor of s and 3572?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 53*z**2 + 145*z - 19. What is q(-29)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/17, 0.4, 3, -2\/7?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 5*n - 7. Let q be m(6). Let d(j) = -2*j + 2. Let f(k) = -5*k**2 - 5*k + 9. Let i(h) = q*f(h) + 4*d(h). Calculate i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -14*i**2 + 139*i - 22. Let w(m) = 5*m**2 - 46*m + 8. Give 3*q(p) + 8*w(p).\nAnswer: -2*p**2 + 49*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -20 - 5) + -25 + -9.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 107 + 20*w**3.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/((-240)\/(-18))*2\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-210)*4*(-2)\/4)\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -6124\nAnswer: 6124.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822?\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -14 - (-58 + 44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*(z*z**(-5))\/z*(z*(z\/(z\/(z**(-1\/2)*z*z)))\/z)\/z*z**(2\/9))**50 assuming z is positive.\nAnswer: z**(-4175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 - 4*m - 4. Let x(t) = 208*t**2 - 7*t - 100*t**2 - 99*t**2 - 8. Let l(i) = -5*n(i) + 3*x(i). Let w be l(2). Solve -w = -g + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -21. What is the remainder when m is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(72))*-5)**2.\nAnswer: 3600*sqrt(2) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25681935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1508 + -1506.94. Is -0.2 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -4)*6\/2. Solve -4 = t + 3*r - 2*r, -t - 8 = -d*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319121 not equal to 1319121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1935 - 9676\/5. Sort y, -2\/5, 2\/9.\nAnswer: -2\/5, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q - 132 - 126 = 0. Let j(w) be the first derivative of 0*w**4 + 10 + 3*w**3 - q*w**2 - 3\/10*w**5 + 9\/2*w. Factor j(y).\nAnswer: -3*(y - 1)**3*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 132*l - 8329294. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2704028 is divided by 601.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.8, 1\/6, -3, -2\/41, 34?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1388 and 13\/12.\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35847 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 912 and 1136238.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4251384 divided by -3?\nAnswer: -1417128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:26 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68940, -68981, -69022?\nAnswer: -69063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 881 and -0.269?\nAnswer: -236.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -534 or -510?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1080 * -2\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13054285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 789*f + 104.\nAnswer: 789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6\/5*425\/85?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -236 * 0.1.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 13*m**2 - 4*m - 7. Let y(a) = a**2 - 7*a**3 + 2*a**2 + 4*a**2 + 20*a**3 + 4 + 2*a - 14*a**3. Calculate 3*q(g) + 5*y(g).\nAnswer: g**3 - 4*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 x when three letters picked without replacement from {c: 2, x: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -45 - 4. Suppose 0 = 7*a - 0*a. Solve -5*d + 3*z + r = a, -2*z - z - 11 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35619352922 - -8010.\nAnswer: -35619344912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7818 divided by -2.\nAnswer: 3909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -7*o**3\/3 - 5*o - 2. Differentiate w(y) with respect to y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 9 + 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 - (10 + -3 + 0) - 4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/28 - 2\/7. Sort -0.4, w, 5 in ascending order.\nAnswer: -0.4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4601*w**2 - 4602*w**2 + 9193*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 + 1472*s**3 - 110504*s**2 + 2740768*s - 16762932 = 0.\nAnswer: 9, 41, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.2, -9, 4 in descending order.\nAnswer: 4, 1\/5, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1. Let b(k) = -16*k**3 - k**2 + 6. Let s(r) = -b(r) + 6*i(r). Find the third derivative of s(o) wrt o.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2834922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 257\/18 (b) 1\/6 (c) -0.1 (d) 0.5 (e) -0.3 (f) 0 (g) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349 by 5.\nAnswer: 349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 93. Calculate the greatest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 m, and 1 e when four letters picked without replacement from mnemcmmzmzmmnmzzzm.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -40*z**2 + 6570*z - 289000. Let d(t) = 5*t**2 - 820*t + 36125. Let c(f) = 3*a(f) + 23*d(f). Factor c(r).\nAnswer: -5*(r - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = r + 7*r. Solve -13*o + r*o = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c + 10. Let k be l(3). Suppose -2*r + 27 = 5*b, -k*r + 21 = 3*b + 2. Solve 0 = -4*t + 5*t + 1, -9 = -4*w + b*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*5*(-1 - (-78)\/(-10)). Let v = -47 + n. Let y = -27 + 127\/5. Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/6 - j**3 + 5*j**2\/2 + 58*j. What are the prime factors of p(-11)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7090125 is divided by 4598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4991406 - 4*y + 4991407 - 19965682 + 4991411 + 4991458.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*z, -58*z - 19 = -4*m - 61*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, j: 7}. Give prob of picking 3 j and 1 o.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8))**(-2\/35) assuming p is positive.\nAnswer: p**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/9)*w)\/w**(-14))**31\/(w*w*w**(-7)*w*w*w*w**(-2\/7)*w**6\/(w**4\/w)) assuming w is positive.\nAnswer: w**(30118\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + -661?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**3\/6 - 11*z**2\/2 - 8357*z. Let f(b) = 0 + 1 + 0. Calculate 44*f(o) + 4*l(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (5 + 6) - ((3 - -3) + 148 + -14)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-3)\/15*(-2 - 13). Is 26\/(-8)*n*(-18 - -344) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/2 + 949*o**2\/2 - 118272*o + 2668050 = 0. Calculate o.\nAnswer: 25, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2108, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/300 - 896\/100 - (2 + 43).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 331 and 56.933019.\nAnswer: 387.933019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 42*h**2 + 303*h - 118. What is w(16)?\nAnswer: 2170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1972939 (base 10) to base 7.\nAnswer: -22525003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2, 1\/619, 1.9?\nAnswer: 1\/619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1195, 742, -481, -2858, -6773, -12610, -20753, -31586?\n\"Answer: -64*m**3 - m**2 - 2*m + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*h = 30, 90*a - 25 = 88*a + h for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 5*m**2 - m**2 + (m - m - m)*(2 - 2 + 2*m) - 14*m**2 + 33*m**2 + 15*m**2.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 0*b**2 + 11*b**3 + b**3 + 2*b**2 - b**2.\nAnswer: 17*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/5202 and -91\/6936?\nAnswer: 20808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 4680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3808169 to the nearest integer?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {y: 6, f: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*r - 14, 3*r - 2*r = 5*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Solve -2*s + 10 = a + a, -10 = -3*s + d*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*-5*(sqrt(152) - sqrt(152)*-1))\/((sqrt(64) + sqrt(64)*2 - sqrt(64))\/sqrt(8)*5))**2.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3611 and 6751?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 11 (b) 8 (c) 1\/32 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 + -2)*12\/10. Let j(c) = -b*c**2 + 7*c**2 - 2*c**2. Let d(q) = 2*q. Give d(j(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*n - 2*n = -1622, 0 = j + n - 405. Suppose -2*b - s + j = 4*s, -5*b = -s - 1069. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 l, and 1 b when four letters picked without replacement from {b: 5, l: 4, q: 2, r: 2, i: 1}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740038 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 k when three letters picked without replacement from lllvllvklvvkllllllpp.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/2)*d*d*d**(-16))\/(d*d*((d*d**(2\/17)*d*d)\/d*d)\/d*d)**(2\/13) assuming d is positive.\nAnswer: d**(-6315\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13428, 26896, 40364, 53832?\nAnswer: 67300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8664\/(-20) - 3\/(-15). Let m = 913 + t. Suppose f + 7*f - m = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7448)\/16)\/(-19)*2*4*(-10)\/40?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 108900.\nAnswer: 108900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 15) to base 11.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 45*b - 12097. What is m(269)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4 + 85464*t**3 - 85466*t**2 = 0.\nAnswer: -42733, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbiiibaaibbab. What is prob of picking 1 a, 2 b, and 1 i?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (16\/(-48))\/(1\/(-489)) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10*140\/(-112))\/(76\/8).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**3 - 13*s**2 - 3*s + 7. Let u(a) = 6*a**3 + 13*a**2 + 3*a - 6. Let h(c) = -5*p(c) - 6*u(c). Is 20 a factor of h(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h - 22. Let i(s) = -69*s + 23. Let p(o) = -153*o + 48. Let b(j) = 9*i(j) - 4*p(j). Calculate -5*a(d) - 7*b(d).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/4))**(-33)*m**(1\/9)\/m*m*m*m**(-3\/22) assuming m is positive.\nAnswer: m**(-2881\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1867 divide 1951217852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*595\/(-425))\/((-5)\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 9. Suppose 3 = m*l, -5*g + 0*l + 9 = -l. Suppose -5*x + 14 + 46 = -g*f, -2*f = 5*x - 40. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 403, 2, -4, 32 in decreasing order.\nAnswer: 403, 32, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66*s**4 + 349*s**4 - 2 - 4*s**3 - 11423198*s**2 + 11423199*s**2)*(-4 - 3 + 6) to r*s**4 + k + x*s + l*s**3 + h*s**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 280? (a) 0.2 (b) 0.4 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5246.77cm in kilometers?\nAnswer: 0.0524677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7546 and 165?\nAnswer: 113190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -53. What is the closest to -1\/4 in 0.1, q, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(100))\/sqrt(5))\/sqrt(4))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2203892\/129 - -51245\/3. Let g = -546136759\/344 - -1587601. Let u = g + j. What is the common denominator of 77\/36 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -53, -78, -133, -230?\n\"Answer: -2*y**3 + 3*y**2 - 2*y - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 2*f + 2. Let p(c) = -11 + 10 + 0*c + c**2 - c. Let u be 7 - 4 - (37 + -26). Give u*p(s) - 3*l(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4. Sort -0.05, 1, h.\nAnswer: h, -0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 113525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14135, -23928, -33719, -43508, -53295?\n\"Answer: y**2 - 9796*y - 4340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184252685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -1.19\nAnswer: 0.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-184))\/(1\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 0.67.\nAnswer: -4.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 156*c**2 + 2*c - c**3 - 2*c**3 - 10 + 17 - 8 in the form j*c**2 + b + m*c**3 + x*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4)*f\/((f\/(f\/f**7))\/f)*f)**8*(f**(2\/3)\/(f\/(f*f\/(f**(-3\/8)\/f))))**6 assuming f is positive.\nAnswer: f**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7507 smaller than -7613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64517 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (15 + -14)*(2922 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 954*d**3 - 106*d**2 - 2*d - 1285476 wrt d?\nAnswer: 2862*d**2 - 212*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165 - -170) + 1 + (0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8279.6433 rounded to the nearest ten?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**2 - 7960*i = 0.\nAnswer: -1592, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12527838*f. Let s(w) = 4*w**2. Give z(s(b)).\nAnswer: -50111352*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/7 and -139\/25810848?\nAnswer: 25810848","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 4*i - 2*i - 2*i to the form r*i + f*i**2 + d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 + 36 + 43 - 7*v + 175.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -94. Let p(n) = n - 5 - f + 17 - 3 - n**2. Let r be (-1 + 3)\/((-1)\/2). Give p(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 335\/701 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -658223, -2632879, -5923973, -10531505, -16455475, -23695883, -32252729?\nAnswer: -42126013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28449 - 31616\nAnswer: -60065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 283, -124, -697, -1346, -1981, -2512?\n\"Answer: 15*b**3 - 173*b**2 + 7*b + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964399\/10 less than or equal to 296440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 7*z**2 - 6*z + 5. Suppose 0 = h + 3*q + 9, 4 = -h - 0*h - 2*q. Let r be o(h). What is the highest common factor of 55 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*c - 5. Solve -7*j - 5*h + 27 = -3*j, c*h = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -10 - 10. Suppose 2*q + 2*q + 16 = -h, i*h + 4*q = -16. Solve h = -5*w - 0*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14201\/3, 0.1, 3.\nAnswer: 0.1, 3, 14201\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694800?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u**2 + 13*u - 7. Let f be (1 + (2 - 10))*1 + 1. Let d be q(f). Suppose 0 = 2*x - 5*o - d, -x - 2*x - 2*o = -6. Solve x*z + 3 = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734907908 divided by 203.\nAnswer: -3620236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 - 49*b**2 + 31*b - 11. Give k(-10).\nAnswer: -1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 3*q + 18 = 0. Let h be (-2 - q)*(50*-10)\/(-5). Let p = h - -666. List the prime factors of p.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*f = 0, 3*s + 15 = 5*s + 5*f. Let g(t) = -14*t - 10. Let y(z) = 16*z + 11. Let a(u) = s*y(u) - 6*g(u). What is a(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -164, -193, -222?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 6*p**2 - p - 6. Let a be w(5). What are the prime factors of 2648\/56 + (-4)\/a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - j - 5 = 0, 0 = 21128*l - 21124*l + 6*j + 32 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Suppose -6 = f - g*f. Solve -1 = 5*t + 5*z - z, -5*z = 2*t - f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmmmttmtmtmbbmb. Give prob of sequence bb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60191111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705*d + 28*d**2 - 27*d**2 - 266*d - 214*d - 225*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 14 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 18*t - 132. Give u(2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20530397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10150, -10226, -10354, -10534?\nAnswer: -10766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12949, 12939, 12929?\nAnswer: 12919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1865 times 4.41\nAnswer: -0.822465","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 15 = -5*m + 2*m, 0 = 2*c - 3*m - 42. Let j = c + 308. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/14 (b) -18 (c) -3 (d) 5 (e) 2\/11 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 38 = -7*q, 2*z + 4*q - 4 = 16. Let j(m) = -12*m**2 - 9*m - 10. Let v(n) = -n**2 - n - 1. Determine z*j(u) - 22*v(u).\nAnswer: -2*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3044*r**2 + 15228*r + 40.\nAnswer: 4*(r + 5)*(761*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(475) + 4)**2.\nAnswer: 240*sqrt(19) + 2946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-3) + 2*(-1)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -345 - -844. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 126*l + 67. Calculate v(64).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*sqrt(143)*2 + sqrt(143)))\/(sqrt(55)\/(sqrt(50)\/sqrt(90))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4117, 4201, 4249, 4243, 4165?\n\"Answer: -3*c**3 + 105*c + 4015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = y. Let r be y*3\/(-4) + -1. Suppose -4*k - 2 + 5*k**r + 2 + 2*k = 0. Calculate k.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005762516974 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = r + 10, -3 = -4*a - 15. Suppose -25 = -r*o - 5. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -14.7.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -4, -2, -8, 2\/7, 0.047?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8704414*v**2 + 515857314*v wrt v?\nAnswer: -17408828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + ((3 + sqrt(108) + -3 + sqrt(108) + sqrt(108) - sqrt(108))**2 - sqrt(108)))*-3.\nAnswer: -1299 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zddz when four letters picked without replacement from {u: 5, z: 2, d: 3, o: 3}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -4532.79.\nAnswer: 18131.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = 18*m + 153. Is m equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -270 - -416. Let u = f - 433\/3. Suppose 4*h - 3 = -l, 5*h + l - 3 = -0. What is the third biggest value in u, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*m = -6*m + 12, -2*f = -m - 6. Suppose -70 = -j - f*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*l = 170*l + 4320. Does 40 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1 (c) -0.262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuxuuxxuxxxuxuxux. Give prob of picking 3 x.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 3*o + 2*o - 3*o - 2*o + (o - o - 2*o)*(0 - 2 + 3).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -17. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251020*n - 78011*n**2 - 251020*n + 78002*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q - 3, -2*q + 9 = 5*h. Suppose 0 = u - 1 - h. Solve -7 - 13 = -u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 5, -2, 1878\/11 in increasing order.\nAnswer: -2, -1, 5, 9, 1878\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f - 15 = 0. Let d(x) be the third derivative of x**5\/60 + x**4\/6 + x**3\/6 + 2*x**2. Let a be d(-2). Sort f, 1, a in decreasing order.\nAnswer: f, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -2\/13 (c) 1 (d) -3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 18*o - 177. Let p be q(11). Solve 0 = -5*w + 2*s - 3*s - p, -7 = w + 3*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 + p + 14. Let r(v) = v**2 - 1 - 2 - 2. Suppose -4 = -2*l - 12. Let t(q) = l*j(q) - 11*r(q). Determine t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 + 2311?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b = 54*b - 195. Solve 2*a - b + 13 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*n - 352 + 3550 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6155222309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:07 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 582 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let u(r) = 4*r. Let y be 4 + 1 - 3 - 13. Let o(a) be the third derivative of a**4\/12 - a**2. Let i(c) = y*o(c) + 6*u(c). Calculate i(t(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:34 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + -3. Let q = t - -61.9. Let a = 0.24 + 4.76. Put q, -4\/7, a in decreasing order.\nAnswer: a, q, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5936822 is divided by 198.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(13))**2*3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237911 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 - 6*l + 6. Let j be n(6). Is 12 a factor of -3 + 5 + (j - -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.65287 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*v + 1117, -4*v + 2*g - 89 = 1049. Let l be (-5*3)\/((-1)\/(-13)). Let f = l - v. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(0 - -1) - -2931. Let z be (-16)\/(-28) - j\/(-14). What is z rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - 0.0925444.\nAnswer: -0.2125444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11200293 to the power of 1\/2, to the nearest integer?\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, r: 15, s: 2}. Give prob of sequence rrrr.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y**2 + 3*y**2 - 3*y**2 + 26*y**2.\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -32, -47, -62, -77, -92?\n\"Answer: -15*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82.61 - 78. Let x = k - 2.954. Let c = -1.6 + x. Round c to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and 8\/40 + (-1)\/(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 3*i, 2*i = -0*v + v + 3. Which is the nearest to 1? (a) -5 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379.533*1.\nAnswer: -379.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13806*f**2 + 3*f - 108 wrt f?\nAnswer: 27612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 382460147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -7.04. Let t = 5 + x. Does 0 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39.131 and -4.2031.\nAnswer: -43.3341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -494 - -15?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + h - 65, -5*q = 4*h + 134 + 9. Suppose 2*c + 4*x + 74 = -c, 0 = -2*c - 3*x - 51. Let b = c - q. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -13. Let u be c\/3 + (-935)\/(-3). Let q be u\/(-16)*2\/(-3). Solve -q = 3*v + 8*y - 3*y, 3*v - 37 = 5*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 1. Let s(p) = -15*p + 29 - 29 + 14*p. What is s(r(i))?\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*1 - sqrt(608))\/sqrt(2) + -2*(sqrt(1216)*2)**2.\nAnswer: -9728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 - 2*y + 2*y)*(4*y + 5*y + 0*y) - y**3 + 0 + 0 + 2*y**3 + 3*y - 3*y - 12*y**3 - 5*y**3 + 27*y**3 + (4 - 3 - 3)*(y**3 + 2 - 2).\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 179632238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -8. Let b(o) = -o**2 + 3*o - 1. Let k(i) = i. Let d(m) = -b(m) - 2*k(m). Is d(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 + 3. Let q be t(-3). Calculate the highest common divisor of 72 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/2*9\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -10\/11*u + 2\/11 + 12\/11*u**2 = 0.\nAnswer: 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/11 + 226*l**3\/11 - 3908*l**2\/11 - 8736*l\/11 = 0?\nAnswer: -2, 0, 24, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (748\/(-110))\/((2\/8)\/((-180)\/(-48))).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6, 2*d - n + 6859 = 18796. Suppose 5*x - d = -5*w, 0 = 3*w - 3*x - 75 - 3501. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/51490 and -107\/1520?\nAnswer: 411920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f. Let q(u) = 47*u**2 - u - 150. Determine q(p(g)).\nAnswer: 5687*g**2 - 11*g - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 2*h + 6*k - 102, 5*k = -5*h + 70 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 7*s - 53 + 53)*(3 - 8 - 1).\nAnswer: -12*s**2 - 42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 13*w**3 - 6 - 18*w**3 + (1 - 7*w**2 - 1)*(-2*w + 5*w - 4*w) as q + l*w**2 + a*w + j*w**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - ((-790)\/(-40) + -14). Let k(c) be the first derivative of -v*c**4 + 1\/5*c**5 - 9 + 1\/6*c**6 - 1\/3*c**3 + 0*c**2 + 0*c. Factor k(p).\nAnswer: p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 + 9*q**2\/2 - 222*q + 720.\nAnswer: 3*(q - 8)*(q - 4)*(q + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/117 + 2\/9 + -107 + (-104554)\/(-793)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.8 + -8.5. Which is the closest to 2\/7? (a) 3\/8 (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.8, -1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 47, -0.54, -3\/4, 4?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 plus -199?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2*1)\/(1\/19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2792.4072 to 1 dp.\nAnswer: 2792.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let r(a) = 9576*a**2. Give p(r(m)).\nAnswer: -9576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121512775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -49, -39, -29, -19, -9?\n\"Answer: 10*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 8*c - 9. Let d be m(9). Suppose d = 4*f - 226 - 138. Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39102605 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40237 - 69057 = -12*x + 36974. What are the prime factors of x?\nAnswer: 3, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 2. Let q(s) = 20*s - 32. Let o(g) = -12*k(g) - q(g). What are the prime factors of o(-20)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3302314, -3302262, -3302192, -3302098, -3301974, -3301814, -3301612?\nAnswer: -3301362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(2 + (4 + 4 + sqrt(325) - (-5 + sqrt(325) + sqrt(325)*6 + sqrt(325))) + -5))**2.\nAnswer: -25200*sqrt(13) + 576901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 50 = -41*i. What is the remainder when 318 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2400, 6, 2, -246 in descending order.\nAnswer: 2400, 6, 2, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77264 = 2359*c + 1776 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 3. Calculate z(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00744499021 to six decimal places.\nAnswer: -0.007445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 293*m + 1973. Let r(n) = n**2 + 146*n - 986. Let h(p) = -13*r(p) - 6*u(p). Factor h(y).\nAnswer: 5*(y - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vntnmmnnturu. Give prob of picking 1 n, 1 v, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*w + z - 1789, -5*z = -4*w + 2390. Let l = w + -578. Solve -15 = -d - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q - 1. Let c(p) = -12*p**2 + 10*p - 10. Let n(u) = -c(u) + 6*d(u). What is the second derivative of n(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/24 + i**3 - i**2 - 2. Let c(t) be the second derivative of s(t). Give c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75238.9436824 - 75239. Let w = -213.0361176 - t. Let a = w - -213. Round a to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2042 - -3?\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -29. Let s be (-9)\/2*1*-4. Suppose 0 = -2*j - a*x - x + 4, -j + s = -2*x. Solve -r = 5*o - j, 0 = -o + 3*o - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -76 + (1 - -7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5 - j + 6 + 9 + 2. Let z be m(6). Let i be (-4)\/12*z\/34. Is i less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 759615*c**2*m - 1137273*c**2 wrt m?\nAnswer: 759615*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = 4*g. Let u be (-3 - g)*2\/(-4). Let y be (1 + -4)\/(-1)*u. Sort 4, -4, y.\nAnswer: -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305250 (base 6) in base 15?\nAnswer: -73e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 - 1539\/16. Let n = 1190 - 4785\/4. Calculate the common denominator of k and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*q + 1)*(-8*q - 9*q + 7*q) to the form l*q**2 + k*q + m and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 508c (base 13) in base 14?\nAnswer: 408d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9982 + 9982. Sort b, 17, 1, -3 in ascending order.\nAnswer: -3, b, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 2*u. Suppose 23 = 2*k + c, -6*c + 2*c = 2*k - 26. Suppose 3*s - 20 = -k. Let w(n) = 4*n**2 + 5*n. What is s*w(q) - 7*a(q)?\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1434*u + 1116*u - 1947*u)*(u**3 + u**3 - 3*u**3) as c*u**2 + t*u**4 + p*u + q*u**3 + n and give t.\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 5*o + 3. Let g be (1 - -2)\/(-1)*(2 + -1). Give n(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6892821 months?\nAnswer: 0.0057440175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 3*w + 11. Let z(q) = -q**2 - 2*q + 8. Let d(r) = 4*i(r) - 5*z(r). Let o(h) = -h**2 - 6*h - 5. Let j be o(-4). Is d(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = u - 27. Let r be 60\/u*4\/5. Calculate the lowest common multiple of (-3 - 1)*(r + -6) and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(2) + sqrt(35))*-3)\/(sqrt(21)\/sqrt(3)*6) + 1.\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 10*v**2 - 1084*v - 6767. Give o(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -973*x - 279. Let l be a(-3). Calculate the greatest common divisor of 1408 and l.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19888 + 632*c - 39779 + 19891 as b*c + f and give b.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-2))\/(1\/1). Let h = 0.1409 - 0.0409. Which is the nearest to h? (a) 2\/3 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 9*h**2 + 2*h - 25. Calculate f(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 110. Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 0*p = 5*w + 15, -4*w + 12 = -4*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 + s**2. Let c(n) be the first derivative of 2*n**2 + 5. Give c(x(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**7\/840 + m**6\/720 - m**5\/20 + m**2. Let z(a) be the third derivative of q(a). What is z(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 11*h + 12. Put 4, h, 1, 9 in decreasing order.\nAnswer: 9, 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -25*w + 431. Calculate h(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-346)\/(-7) - 24\/56. Suppose 44*q + 100 = h*q. Suppose -17*x - 165 = -q*x. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/(-3) - (-4)\/(-6). Let j(k) = -k**2 + 9*k - 3. Let l be j(6). Let o(w) = w**2 - 15*w + 5. Let b be o(l). Solve 2*y = 4*y + 8, p = -b*y - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8. Let t be (5 - 3)*(c + 1). Differentiate 12 - 9 - 9 + 7*b**t wrt b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-130)\/(-35) - (-6)\/21 - -8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-3 + -1). Let s be (y\/(-3))\/((-2)\/3). Let b(l) = -l - 1. Let r be b(-5). Sort -3, s, r in descending order.\nAnswer: r, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*d**4 + 2*d**4 - 4*d**4 - 6*d**4 + 4 wrt d.\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (29 - 11)\/(3\/(-1446) + 0). Let c = -5737 - i. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -55 (c) -1\/8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 994\/252 - (-2)\/36. What is the nearest to c in 9, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 78880 and -1269007.6.\nAnswer: -1190127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4926904, 4926921, 4926938, 4926955, 4926972?\n\"Answer: 17*a + 4926887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.46 + 0.54. Which is the closest to z? (a) -3\/2 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109712, -109681, -109592, -109415, -109120, -108677, -108056, -107227?\n\"Answer: 5*y**3 - y**2 - y - 109715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d + 71 + 4 - 75 + 14*d - 36*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 190*a + 0*a**2 - 375*a to the form b*a**2 + t + s*a and give s.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 6, -271, -12, -4 in decreasing order.\nAnswer: 6, 4, -1, -4, -12, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6) - 7\/42. Suppose o = z - 3*z. Is 4\/17 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7610115 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82248 is divided by 27414.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/32*(-2 - -8). Which is the nearest to -16? (a) -0.1 (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 + u + 2. Let m be i(-2). Let l be -1 + (15 - -2 - -1). Let h = m + l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 93 + 302. Find the second derivative of 89*p - 2 - o*p - p**2 + 2 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39835557*r + 32084955 wrt r.\nAnswer: -39835557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -44*b - 95. Let i be y(-4). Let d be (3 + (-72)\/20)*(-14670)\/i. Which is smaller: 108 or d?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 540*y**2 + 15345*y - 41310.\nAnswer: 5*(y - 54)*(y - 51)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17248)\/1815)\/14 - 4\/(-30))*2?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 13*u + 54 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 + 2)*2\/(-5). Suppose -m*i + 40 = 3*i. Suppose -45 = -v - i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, s: 3, n: 7, e: 2}. What is prob of picking 3 r?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3902, -3903, -3904?\n\"Answer: -b - 3901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3185\/117)\/(-35))\/(13\/117).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29241 + 82059 = 20*u. Calculate the remainder when 107 is divided by u\/106 - (2 - (-5)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1\/10, -0.4, 0.46 in descending order.\nAnswer: 4, 2, 0.46, 1\/10, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24074 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 14*q - 6. Let y(r) = -1. Let g be (-3)\/(-3 + (-65)\/(-26)). Calculate g*y(a) - h(a).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/10)\/(5\/(-10)) - 27. Let s be (-8)\/d - (-4818)\/726. What is the highest common divisor of 476 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, b: 3}. What is prob of sequence bz?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + (-41)\/((-164)\/152). What is the greatest common divisor of 3025 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(2\/3)))**12*(r**(2\/5))**(-8\/9) assuming r is positive.\nAnswer: r**(-376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 2270455*h**3 + 257747160120*h**2 - 257749430580*h.\nAnswer: 5*h*(h - 1)*(h + 227046)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p + p + 38 - 81 + 43. Let m(w) = 17*w. Calculate y(m(g)).\nAnswer: -51*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 1440773674916?\nAnswer: -1440773674915.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 5*y**2 + 12*y + 4. Let x be g(-8). Let c = x - 55. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*7 - (1 - -1))\/1. Calculate the greatest common divisor of 44 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2\/57 (c) 177 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1481906, -5927598, -13337076, -23710334, -37047366, -53348166?\n\"Answer: x**3 - 1481899*x**2 - 2*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**4 + 12339387*u**3 - 14930550*u?\nAnswer: -24*u**2 + 74036322*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose -a*c - 3*c = -20. Suppose -2*g + c = z, 5*z + 26 = g + 2. Solve -7 = -g*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 20. Let b = 19 - s. Let u(g) = 0*g - b*g - 4*g + 0*g. Let r(n) = n**2. Determine r(u(y)).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Let j = h - -1. Let p = j + -7. Which is smaller: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.03891728\nAnswer: -0.007783456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 3*n - 150. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 58. Let s = 2295.3 - 2941. Let q = s + 646. What is the third biggest value in q, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 4*b**4 - b**4 + (4*b**2 + b**2 - 4*b**2)*(-5*b**2 + 3*b**2 + b**2) + b - b + 2*b**4 - b**4 + b**4 - b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -69 (b) 1\/16 (c) -2025 (d) -5 (e) -3 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*c = 0, n + 2*n - 4*c = 10. Let r = -1 + n. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*f - 146 = 0, 7*p - 3*p = -4*f - 208. Is p <= -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3*c = -4*j - 3, c = j - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(130)*-1 + sqrt(130) - sqrt(130))\/((sqrt(110)*-1)\/sqrt(11)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1406)\/342*12*(-30)\/8. What is the highest common divisor of 7807 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 3, 49, 73 in decreasing order.\nAnswer: 73, 49, 3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from zzeiiizeeivvze.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 4:32 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1299823 rounded to four dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7601510 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmvrrrvvrrvr. Give prob of sequence rrrr.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3099*m - 49572. Give s(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 5*b - 8. Let t be m(-3). Let w(i) = 2*i**2 + 9*i + 16. Let j be w(t). Solve 0 = 5*l + 9 + j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 121, 399, 935, 1813, 3117, 4931?\n\"Answer: 14*s**3 + 3*s**2 - 3*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, e: 1, p: 1, j: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 2445*z**3 + 22 - 6.\nAnswer: -2445*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1258, -3595, -5932, -8269?\nAnswer: -10606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1796*i + 2988931 = -1785*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22858367 and 209559?\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let w(c) = -6*c**2 + 5 - 7 + 2. What is i(w(j))?\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-5)*(-98)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8742 + 8748. Solve 0 = h - 3*y + n, 2*h + 35*y = 38*y - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 1682\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39065 by 3.\nAnswer: -39065\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138288\/13 - 10636. Suppose -4*v + 1 + 3 = 0. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -10 - (-6 + 12 - 3) - -31?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (31\/3)\/((-20)\/(-12))*2 and -1 + 14*(-23)\/(-370).\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + -11 + 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -55\/17 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 142?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2772*x. Let f(y) = 2*y**2. Give n(f(p)).\nAnswer: 5544*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = -0*u. Factor 0*l**3 - 2*l**3 + 4*l**3 - l**u + 8*l**4.\nAnswer: l**2*(2*l + 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6279351400 - 6279350938.00000112. Let y = 462 - t. 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 comes next: -474, -957, -1444, -1935, -2430, -2929, -3432?\nAnswer: -3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4215419, -16861703, -37938849, -67446863, -105385751, -151755519?\n\"Answer: -j**3 - 4215425*j**2 - 2*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 + 3. Let o = -2.8 - -3. Let w = -0.1 + o. Which is the nearest to w? (a) h (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (6 - -3) - -14 - 2 - 74\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**2 + 8*d + 9. Let c(w) = -w**2 + 1. Let q(k) = 6*c(k) - j(k). Is q(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 13663.\nAnswer: 54652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(2\/29)*k)\/k)\/k**(-2\/15))**(-23\/2)*(k*k*k**1)**(-26)*(k*k**(-2\/3))\/k**(-6) assuming k is positive.\nAnswer: k**(-24793\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 5}. Give prob of sequence xllx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p + 1. Suppose -349*f = -348*f - 3. Give m(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10848*l - 2. Let b(i) = -i**2. Calculate j(b(o)).\nAnswer: -10848*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4305517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -43. Calculate the remainder when ((-4)\/1)\/12*-87 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**2\/2 - 1. Let i(b) be the first derivative of 0*b + 7\/2*b**2 - 69. Give i(v(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus -216959.05312812?\nAnswer: -216974.05312812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 - -112. Let g = 11.6 + p. What is the closest to g in -2, 1\/9, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 8 = 0. Suppose 0 = l*p - 7*p. Suppose -4*r + 49 - 9 = p. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12486? (a) -3 (b) 18 (c) 1\/12 (d) 0.4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 114634 (base 10) in base 4?\nAnswer: 123333022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20488107?\nAnswer: 3, 73, 93553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1965*b*d**2*r**2 - 1735*b*f*r**2 - 237165*d**2*f*r**2 + 51*d**2*r**2 + 2*f*r**2 wrt b?\nAnswer: -1965*d**2*r**2 - 1735*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-10 - ((-26 - 0) + (-8 - -14))).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 5*w - 10. Let l be s(7). Suppose l*r + 20 = 2*u + u, 4*r = -3*u - 20. Solve u = -2*m + m - 5*y - 16, -m = -y - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 14*b - 49. Let q be x(-8). Let s be 84\/(-24)*(-5 - q). What is the highest common divisor of 329 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187*b + 5*t + 49 = 2190*b, 4*b - 82 = 15*t for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/7 (b) 1 (c) -4789\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1634 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 8. Let g = z - -62. Suppose 0 = 4*h - h - g. What is the lowest common multiple of h and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/17 or 32636?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 187139479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 12 = -11*q, -15*k + 16*k + q = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28259*m**3 + 28734 wrt m?\nAnswer: 84777*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1292*c**3 + 1288*c**3 - 244*c + 244*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9205997 to the power of 1\/2, to the nearest integer?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 303 and 10371.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262224 or -262226?\nAnswer: -262224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10063, 10088, 10127, 10186, 10271, 10388, 10543, 10742?\nAnswer: 10991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123295, 246599, 369903, 493207, 616511, 739815?\n\"Answer: 123304*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20603?\nAnswer: 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 v, and 1 o when four letters picked without replacement from hoyuvwuuwuhovyyhvuou?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4 - 216*t**3 - 627*t**2 - 414*t = 0.\nAnswer: -69, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/240 - 7*g**4\/24 + 87*g**2. Factor y(d).\nAnswer: -d*(d + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6142178 minus -12509?\nAnswer: -6129669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 314*l - 24 = -313*l, 27 = a - 2*l. Calculate the highest common divisor of a and 6258.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192593, 770342, 1733255, 3081332, 4814573, 6932978?\nAnswer: 9436547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - 32101133122?\nAnswer: -32101133031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.027, -0.4, 0, -5, 2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 1. Let b(i) be the second derivative of 7*i**4\/12 + i**3\/6 + i**2 - 8*i. Let j be b(3). Calculate the highest common divisor of n and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -95 - 106. Let w = -333 + 395. Suppose -3*l + q + w = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(225) + sqrt(225))*4)\/((sqrt(90)\/(sqrt(20)\/sqrt(4)))\/(sqrt(6) - sqrt(96)*-2)).\nAnswer: 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*g + 111, -p + 6*p - 138 = -3*g. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49093\/405 + -7\/405. Let s = -122 + j. Let a be 38\/84 + (-2)\/7. Sort a, 1\/10, s in increasing order.\nAnswer: s, 1\/10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Suppose j + 2 = 0, 4*q - 22 = w*j + 3*j. Suppose -5*i + 45 = 5*u - i, -5*u = 2*i - 45. What is the highest common divisor of q and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20131266440 rounded to the nearest one hundred thousand?\nAnswer: -20131300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 9:47 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-168)\/18*(-5 - -3 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i + 1. Let c = -11895 + 11890. Let x(j) = -2*j**2 + j - 1. Give c*x(g) - 7*h(g).\nAnswer: 3*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*l + 15*l - 18*l - 107*l in the form o*l + c and give o.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 637?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 249685699, 249685701, 249685703, 249685705?\n\"Answer: 2*v + 249685697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -249, -846, -1845, -3246?\n\"Answer: -201*z**2 + 6*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 - -2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 739\/30 - 23761\/120. Let i = m - -173. Let r be 5*8\/100*1. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -125*o**6\/6 - 480*o**5 - 2630*o**4 + 3200*o**3 - 1000*o**2 - 31. Factor v(x).\nAnswer: -5*x*(x + 10)**2*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12697*c + 1079. Let o be s(-7). Round o to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3 - 2*c + 4*c**3 + 4 - 7*c**2 + 2*c**3 - 5*c**3. Suppose 5*w - 14 = -2*d, -w - 28 = -4*d - 6*w. What is o(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-13))**(-14\/11))**9)**19 assuming a is positive.\nAnswer: a**(31122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3059 + 3050.947. Round u to one decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -803, -7022, -23885, -56708, -110807?\n\"Answer: -886*t**3 - 6*t**2 + t + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = v. Suppose -42 = z - 6*z + 2*y, -5*z - 5*y + 70 = 0. Let u be 3\/(-6)*0\/3. Solve -a - v*a + z = u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2199 is divided by 2119.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/9931 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2373 and 2258823.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1437*l - 1. Let r(o) = 2875*o - 2. What is -4*r(f) + 7*t(f)?\nAnswer: -1441*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -708728*d**2*l**2 - 3551699*d**2*l + 3*d**2 - 9*l**5 wrt l.\nAnswer: -1417456*d**2 - 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r**2 - 12*r**2 - 9*r**2.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4\/(-10))\/(-4*(-55)\/(-5500)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154925, 1239464, 4183217, 9915788, 19366781, 33465800, 53142449?\nAnswer: 79326332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:31 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 - 218. What is the lowest common multiple of (0 - -3) + 4\/1 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 561 = -63*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11560509 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q - 1 + q**2 - 4*q - 2. Suppose 4 = 4*u - 4. Let x be 3*u\/(-3) + -1. What is f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 3, a: 4}. Give prob of sequence ane.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47 + -29?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 18 + 2 + -2 - -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -37\/3. Let q = 7 - 6.9. Which is the nearest to 0.2? (a) q (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 11*c**2 - 23*c - 10. Let x be z(-5). Suppose -264 = -8*i - 24. What is the greatest common divisor of i and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 895413.4 millennia?\nAnswer: 8954134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 3*p - 133. Suppose -3*g + 85 = p*t, -5*g + 2*g = -4*t - 101. What is the remainder when 122 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 5*c**3 - 11*c**3.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/12 + b**3\/3 - 14*b**2 - 27*b - 83. Calculate s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4203030229 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.451, 0.5, 0.1, -1, 59 in ascending order.\nAnswer: -1, -0.451, 0.1, 0.5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 188163 times 0.1?\nAnswer: 18816.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*j**2 + 2*c**2*j + 38*j**4 - 23*j - 1 wrt j?\nAnswer: -4*c**2 + 456*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 + 2. Let g be f(3). Suppose 0 = -25*j - 17*j + 546. Let d = g - j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -596*y - 269385. What is t(-452)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*m*w - 32463*m + 2389839*w wrt m.\nAnswer: -16*w - 32463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-72)\/(-27))*(-9)\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*d**5\/11 - 19950822*d**4\/11 - 614244245060*d**3\/11 + 477761780292*d**2\/11 + 128918961894*d\/11 + 7583453858\/11 = 0. Calculate d.\nAnswer: -61577, -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (-23 - 6 - -24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 7:35 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111010200010 (base 3) to base 16\nAnswer: -3f1fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/5 - 4666*a**2\/5 - 9292*a = 0.\nAnswer: -2323, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000397043162 rounded to seven dps?\nAnswer: 0.0000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 1 h when three letters picked without replacement from {h: 1, d: 2, o: 1, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5722*r - 3832*r + 5763*r in the form x*r + m and give x.\nAnswer: -3791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Let u = n - 2. Let l(b) = -u*b + 14 - 14. Let m(f) = f. Give m(l(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 963796020.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 3, n: 2, u: 1, r: 5, t: 1, p: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003015 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741815 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721800 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 22 = n, -5*j = -4 + 14. Let q(k) = k**2 - 17*k + n*k + 5*k + 5*k**3. Let x(b) = -4*b**3 - b**2. Determine 3*q(y) + 4*x(y).\nAnswer: -y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1398178, 2796362, 4194546?\n\"Answer: 1398184*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2 - 2 + 3 + t. Let s(n) = -n + 1. Suppose 3*w = 2*r + 5 + 10, 2*r + 33 = -3*w. Let h be r\/(-9)*18\/(-4). Determine h*s(i) - 5*k(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, w: 2}. What is prob of sequence aw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/14 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 41*c**2 - 88*c - 18. Let x be y(39). What is the units digit of (-6 - -4) + -3 - x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r = 268*r - 692 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 2:02 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -524 - 72c61?\nAnswer: -73485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 11*l + 8. Let w be c(-7). Let z be w\/(-2)*(-24)\/(8 + -4). Suppose -2*b = -153 - z. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101110001001001 - -1?\nAnswer: -1100101110001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2539.991067 - 2540. What is i rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -602 + 608. What is the biggest value in a, 0, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/2 - 823*m\/2 + 411 = 0.\nAnswer: 1, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128742971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56529643 by -267913.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, 1 p, and 1 j when four letters picked without replacement from jwapopwobaoa.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t + 6 = 71*t - 2*y, -2*t - y = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80278832.\nAnswer: 2, 23, 218149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/5 + 4176*m\/5 = 0. Calculate m.\nAnswer: 0, 2088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85672460 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajj when three letters picked without replacement from jbbjaabjaaa?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/(-308) - (-3111)\/(-11). Let f = 1075 + d. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0)\/((-52)\/(-2028)) + (62 - 66).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 12*c = 3. Let f(u) = 7*u**2 - 5. Let l(y) be the first derivative of -4*y**3\/3 + 3*y - 1. Determine c*f(k) + 5*l(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -713 in increasing order.\nAnswer: -713, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j + 86. Let b = j - -9. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 8\/(-4))\/(-7). Do 1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21617.\nAnswer: 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28846*n - 1076*n**2 + 28846*n + 1096*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 562, 2319, 5460, 9985?\n\"Answer: 692*w**2 - 319*w + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 11\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i - 195. Let n be x(-17). Suppose 18*m - 467 + n = 0. Solve -v - 4*v = -l + m, 24 = -5*v - l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/7)\/3*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 6*s + 22. Calculate t(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 14\/8 + 2. Let f be (-126)\/210 + 2\/(-10). Which is the second smallest value? (a) f (b) p (c) 0.4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwywwhwlwhwh. What is prob of picking 3 w and 1 l?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-3601)\/(-4488) - (-1)\/3. Let r = v + -2\/187. Suppose 15*c = 12*c - 3. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63240 (base 14) to base 3.\nAnswer: 110011002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 39824.\nAnswer: 39809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*m - 10*m - 2*m)*(-9*m - 49*m + 9*m) to the form x + i*m + q*m**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 3*u**2 + 5*u - 2. Let f be h(4). Let d be (-4 + 6)*(f + -1). Suppose 0 = -3*z - 4*m + 62, 0*z = d*z - m - 56. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p - 6. Let f be 2\/(-2)*(4 - -1). Let x be k(f). Suppose -q + x = 2*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*o + 10*o + 23530. Does 44 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*i - 171*i - 114. What is the fourth smallest value in -0.5, -76, 2\/5, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Suppose -2*g = -u*g - 6. Suppose -117 + 54 = -3*w. Solve -5*y + 5*m - 5 = 5, g*y + 2*m = -w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -551e5 - 4?\nAnswer: -551e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 1222*m**2 - 12 + 23 + 27 + 20.\nAnswer: -1222*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 216, 139, 62?\n\"Answer: -77*k + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11050 and 453325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*l - 9, 0 = -5*m + 3*l + 2*l + 5. Let s(d) = 29*d - 10. What is the hundreds digit of s(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**4*s - g**4 - g**3*s + 1170*g**3 - 17*g**2*s + 67*g*s + 5 wrt g?\nAnswer: 216*g*s - 24*g - 6*s + 7020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a + 17. Let h(r) = 1. Let t(z) = 3*h(z) - o(z). Let w be t(4). Solve -25 = w*x - x, 4*m = 2*x + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 10*l**2 + 11*l + 3. Let h be g(-11). Let u be (-1)\/h - -2*5047\/42. Calculate the greatest common divisor of 30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 2*f - 3. Let t = 3 - -3. Suppose h = t*h - 15. Let x(r) = -r + 2 - 2*r**3 - r + 0*r**h. What is 3*n(i) + 4*x(i)?\nAnswer: -2*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:36 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -17*k - 49. Suppose 2*r - 3*r = l + 7, 0 = -3*l + 4*r - 35. Let t be q(l). Let v = t + -65. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k, -35*k + 36*k = -6*b + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (0 + -3*sqrt(17) + sqrt(17)))**2 + (3*sqrt(85))\/sqrt(5).\nAnswer: 3*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -65*y + 28*y + 7 + 32*y - y**2. Calculate k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -565*j**3 - 268*j**2 wrt j?\nAnswer: -3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10143750 and -33\/200.\nAnswer: 40575000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2509 - -3?\nAnswer: 2511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114904506029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -134. Let n = l + 118\/3. Suppose -8 = i - 3*i, -4*h + 3*i = 0. Which is the nearest to 0.2? (a) -3 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 14*l - 24. Let x(m) = -128*m. Determine x(w(h)).\nAnswer: 128*h**2 - 1792*h + 3072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31002030010 - 1023?\nAnswer: -31002031033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/2 - 11\/(-22). Find the second derivative of 4*b**5 + 13*b - 2*b**a - 8*b**5 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4218 is divided by 352.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/74 - (-9374)\/(-3182)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 588320890.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*g - 72, -18 = -w + 5*g - g. Let k be 1\/4 + 26\/(-8). Let y(c) = 2*c**2 + 3*c + 3. Let l be y(k). What is the greatest common factor of l and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005422 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 7 = 0, 2169*n - 15 = 4340*n - 2167*n - x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f + f)*(2*f**2 + 2*f**2 - 3*f**2 + (3 - 3 - 2*f)*(-2 + 2 - 2*f)) - 1 - f**3 + 1.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 125. Let s(c) = -c - 83. What is -5*a(q) - 8*s(q)?\nAnswer: -2*q + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(28\/(-15)))\/((-918)\/4284)*-7\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 13 + 5 - 9*l. Let t(b) = -b - 1. Let d(i) = i - 1. Let z be d(4). Suppose -2*v + 1 - z = 0. Determine v*o(x) + 8*t(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25249027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/36 - 1\/4. Let v = 90 + -89.5. Which is the nearest to 0.1? (a) y (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Suppose c = 3*x - 5. Suppose -4*p + 180 = 5*t, -3*t - 47 = -p - x. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956163158.\nAnswer: 2, 478081579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 7*l + 14. Let z(s) = -s**2 + 4*s - 7. Let i(g) = 6*r(g) + 13*z(g). Let c be i(9). Factor -c*b**3 + 2\/3*b**4 + 4\/3*b**2 + 0 + 0*b.\nAnswer: 2*b**2*(b - 2)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4) + 0 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 * -140.187\nAnswer: -6.588789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499296, 499287, 499252, 499179, 499056, 498871, 498612?\nAnswer: 498267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 10:59 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*b - 34*b**2 - 113*b - 8*b**3 + 7*b**3 as x*b**2 + n + h*b**3 + z*b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61367 = -9*v - 5*i, 6783 = 16*v - 15*v + 5*i. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -173, -170, -165, -158, -149?\n\"Answer: f**2 - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 162. Which is bigger: 87 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 + 24\/(-63)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -35. What is the remainder when 2*1\/(-2)*-11 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by 5.\nAnswer: 179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2832)\/(-56) - 24\/(-56). Solve d*u - 6 = 53*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23468*a*l*o**2 + 2*a*l + 26*a*o**2 + 54746*l - o**2 + 7 with respect to a.\nAnswer: 23468*l*o**2 + 2*l + 26*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143775 is divided by 817?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - t - 56 = 0, 0*g - 63 = -4*g - t. Let f(k) = k**3 - 11*k**2 + 19*k + 28. Calculate the remainder when f(10) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 259050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*w - 27 = 0, g + 35 = 6*g + 5*w. Solve 0 = g*j + 3 + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 349490520 + -598.9.\nAnswer: 349489921.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 16*f + 28)*(-2*f**2 + 3*f**2 - 6*f + 4*f + 19) as g*f**3 + w*f**2 + h + v*f and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sroqn. Give prob of sequence no.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10540\/(-2790) + (-15)\/(-5)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-5)\/9) - (-483)\/315*-5. Solve -10\/3*b**4 + w*b**2 + 1\/3*b**5 - 28\/3*b + 0 + 7*b**3 = 0.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164855948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*w - 14, 2*y + 12 = -5*w + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 b when three letters picked without replacement from bbbbbbbbbbzbzybfbfz?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 1.3 (b) -3\/2 (c) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4536271 to two dps.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/4 - 8)\/(9\/60). Is g != 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1291*o - 3579 - 130*o + 3565 in the form y*o + s and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71540137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + 4*t)*(4*t - 11*t**2 - 4*t)*(0*t - t + 3*t) to the form s + m*t**3 + d*t + k*t**2 + i*t**4 and give i.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6))\/((-8)\/(-24)). Suppose -o = -d*h - 0*h - 241, 5*h = 5*o - 1280. Let c = 452 - o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 404413230?\nAnswer: -404413233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6 + -2) - -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 845222840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 - 4*m**2 - 5*m - 2. Let a be w(-2). Solve 0 = -a*z + 21*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186426?\nAnswer: 2, 593213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 183\/28 or 6?\nAnswer: 183\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3287204*0.1.\nAnswer: -328720.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 175 = -117. Suppose l = 2*k + 21, 0 = 3*l - 0*k - k - u. Let w = 29 - l. Solve 5*z + 5 = w*v - 0*v, -2*v = 4*z - 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/1 + 4)\/(-2). Let y(k) be the second derivative of 5\/12*k**4 - 2*k + 0*k**2 + m + 0*k**3. Let w(s) = -s. What is y(w(z))?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/24 - 7*y**3\/2 - 18*y**2. Let d be b(9). What is the tens digit of 15*(-4 + (-80)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28 - 94*l - 109 + 29*l - 76 - 34 with respect to l.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458)*2 - sqrt(1458))\/(sqrt(900) - -2*sqrt(900)).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.53 + 6.37. Let t = w + 0.16. Let k = t - -13. What is the third smallest value in k, -2\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5323*q - 5327*q + 11, q + 1 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {w: 1, h: 4, y: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = u. Let g be (9 - 0) + u + 1. Let s = 39 + -7. What is the highest common factor of s and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2333*g + 2554. What are the prime factors of y(5)?\nAnswer: 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o - 4095 = -181*o + 33*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.7 + 20. Let h = 3 + o. Let g = h + -0.8. Sort g, 1, 4 in increasing order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433852 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)*k*k**(2\/37))\/((k\/(k\/(k\/(k**(-2\/9)*k))*k))\/k)**(-2\/11))**(-11\/4))**(-2\/89) assuming k is positive.\nAnswer: k**(-493\/29637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72872835.\nAnswer: 3, 5, 7, 139, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1054145 (base 8) to base 11.\nAnswer: -184a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, 14, 1, -626?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**31\/(q*q**(1\/14)))\/(q**(-27)*q)**(-39) assuming q is positive.\nAnswer: q**(-13777\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*d - 101, -4*d - x + 96 = -5*x. Suppose k - 8 = -f - 0*k, d = 3*f + 2*k. What is the nearest to 0.1 in f, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*y**2 - 293*y - 37796.\nAnswer: 10*y - 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from nvnnnnnvvbbn.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let c(z) = 0 - z**2 + 3 + k - 4*z. Calculate c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5594388 is divided by 17320?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*((-306)\/85)\/18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157885964 is divided by 893?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -121, -7, 5, 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 8073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 10*z**2 - 31*z - 43. Let d be o(-8). Is 57 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a. Let f = -1 + 5. Suppose r + a = f. Solve -5*j - 4*k - k = -5, -r*k = j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -2, 5, 0.\nAnswer: -2, 0, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 782272656 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -2\/3*s**3 - 45 + 0*s**2 + 0*s. Let n(k) = -43*k. Calculate n(x(a)).\nAnswer: 86*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2067 + -10319\/5. Let 36\/5*j**2 - a + 48\/5*j - 28\/5*j**3 = 0. What is j?\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16735*-707.\nAnswer: -11831645","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 17*s**2 - 101*s - 830. Let v be i(-9). Sort 4, v, -32, 2, 0.\nAnswer: -32, v, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56271 or 168815\/3?\nAnswer: 168815\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -227 and -3.\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6435 divided by -387.\nAnswer: 715\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5 + 18*m**4\/5 - 8*m**3\/5 = 0.\nAnswer: -4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18) + 5 + (-2 + (sqrt(8)\/sqrt(4))**2 + sqrt(2) - sqrt(2)) + -5).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 104*t**2 - 418*t + 454. What is r(-108)?\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 7, b: 2, t: 3, j: 4}. What is prob of sequence tat?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 7) to base 13\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2395213979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 406*o**2*q*w + 2*o**2*q - 1629*o*q - 3*o*w + 2*q - w wrt w?\nAnswer: 406*o**2*q - 3*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48033?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -339547?\nAnswer: 3\/339547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/7, 0.22, -2, -24802?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 6*n + 12 = -2*l, 3*n - 10 = l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221830379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b = -85*b + 23171. What is the remainder when b is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 9. Let r be v\/(-36) + (-5)\/(-4). Solve -3*p - 2*f = 7, r - 3 = 3*p + f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c + 6. Let y(s) = -3160*s - 3386. Let d(h) = 3*w(h) - y(h). What is the first derivative of d(z) wrt z?\nAnswer: 3181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**3\/6 - 146*w. Let k(q) be the first derivative of 7*q**2\/2 + 1. Determine k(n(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 4\/(-10))*-5. Let s = x - 0. Suppose -k + s*k - 3 = 0. Solve 2*a = -k*l + 7, -5*a + 3*a + 5 = l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:22 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 4*z - 1 + 0*z. Let r be c(5). Suppose -l = -3*j + r*j - 55, -2*l + 167 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12204912521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.84368 + 45.26732. Let m = c + -46. What is m rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11253886 is divided by 489299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -16 + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12769, -25384, -37741, -49708, -61153?\nAnswer: -71944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 38 - 146*z - 3*z**2 + 36*z + 81*z. Give b(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - -0.5. Round z to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2.2. Let y = -1.741 - 0.259. Which is the nearest to v? (a) y (b) -4\/9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 7*y - 4 = 4*y, -4*r + 9 = 5*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d**2 + 2*d**3 + d**3 - 2*d**3 - d**2 in the form q*d**3 + w*d + g + c*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 32 + 18 = 0. Let u be ((-8)\/s)\/((-2)\/(-10)). Solve 5*g + l = -20, -44 + 4 = u*g - 4*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.9 + 45.\nAnswer: 50.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -12) + 1 - (-57 + 0 + 7 + -4)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*((z\/z**(-1\/8))\/z)\/z)\/(z**6*z**6*z)*(z*z**(-7)*z**(1\/2))\/(z\/(z*z\/(z*z**4))*z*z**(-6)*z) assuming z is positive.\nAnswer: z**(-1721\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 8 + 17. Suppose -4*h = o*m - 265, -15 = -3*h - 0*h. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j*u**4 + 1656*j*u**3 + 5*j*u**2 - u**4 + 2*u**3 + 11*u**2 - 3481 wrt u.\nAnswer: -120*j*u + 9936*j - 24*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1169 and 0.06.\nAnswer: -0.0569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287617627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -776*h + 158*h - 111*h**2 - 78*h - 3*h**3.\nAnswer: -3*h*(h + 8)*(h + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47396254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -677*c**2 + 2000*c + 92. Give f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25494, -28877, -32260, -35643, -39026?\nAnswer: -42409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661427791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8214 * 3583.\nAnswer: 2943.0762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 72. Let i = -12 - 0. What is the remainder when 7\/(-28) - 159\/i is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211 - -34544?\nAnswer: 34333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000768754 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhyy when four letters picked without replacement from yhyhyhhyhhh.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*h + 30, -h = -r + 6*r - 6. Let s(q) = -2*q + 6. Let m(u) = 2*u - 5. Let a(b) = h*m(b) + 5*s(b). Let g(z) = 2*z. Calculate g(a(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immiiii. What is prob of sequence iiii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3309*g + 2915. Let o(i) = 1666*i + 1458. Let w(k) = -3*d(k) + 7*o(k). Find the first derivative of w(f) wrt f.\nAnswer: 1735","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) -5\/4 (b) -13 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*q - 98 = 141*q. Sort -61, q, -5, -4 in decreasing order.\nAnswer: q, -4, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkmvvgvvmgkg. Give prob of sequence km.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/5, 5\/8, 3, 908\/5 in descending order.\nAnswer: 908\/5, 3, 5\/8, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.02 (b) 24 (c) -1 (d) -2\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 4 = 29*x. Suppose 0 = x*b - 4*n - 12, 3 = -b - 3*n - 6. Solve 2*w + 16 - 6 = b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 3*u**2 - 5*u**2 + (2*u**2 - 6*u**2 + 3*u**2)*(-3 + 5 + 0).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j = -3569 + 113. What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/7269 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 7:33 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 982291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 14*b = 4. Solve -5*r + 14 = 2*y, 2*y + 1 = -b*r + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 9. Let o be (-1)\/7 + 4 + k. Suppose -3*g = 4*g. Put o, g, -4 in decreasing order.\nAnswer: g, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -2\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 - 460*y**4 + 8*y**3 + 200*y**2 + 2*y.\nAnswer: 120*y**2 - 11040*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/5 and 65\/242458?\nAnswer: 1212290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/105 + -307\/210. Which is the smallest value? (a) i (b) -0.2 (c) -475\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3026 + 3026 - 93*z + (2*z - 3*z + 0*z)*(4 - 1 - 2) to i + o*z and give o.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 12*t - 14. Calculate u(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhellhlbj. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 35. What is the lowest common multiple of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 128805.\nAnswer: 1803270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -251, -379, -509?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 3*r**3 + 9*r**3)*(0 + 2 - 4)*(4 - 3 - 2)*(3 + 31 - 2) + (0*r**2 + 2*r**2 - 3*r**2)*(-r - 1 + 1) + r**3 + 1 - 1.\nAnswer: 706*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 837284 and 12140618.\nAnswer: 24281236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 102.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*y + 15, 23 = 3*r - 14*y + 12*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.406153 millilitres?\nAnswer: 0.006406153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m + 2*u = 75*m, -11*m = -15*m - 5*u - 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2524 = -4*h + 4*t, -1928 = -25*h + 22*h - 4*t. What is the smallest common multiple of h and 60?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3824590, 3824566, 3824534, 3824500, 3824470?\nAnswer: 3824450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -8966 (c) -2\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.46 times -1909?\nAnswer: 145962.14","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5, -2358, -0.09?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus 15074.435?\nAnswer: 15056.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, g: 2}. What is prob of sequence bgg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2069276 and 20174?\nAnswer: 14484932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 15*l - 10. Let f(q) = -q**3 - 23*q**2 + 28*q + 98. Let c be f(-24). Let n be g(c). Are n and 20 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -26. Let l be 42 + (10 - 10 - (-2 + h)). Suppose -r = -4*r + l. Which is greater: r or 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15910020 (base 10) to base 8\nAnswer: 74542204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0664445922 to three dps.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665836975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 51. Suppose -2*l + 6 = -s. Suppose -2*z = 5*n - 2779, l*n + 4*z = 6*z + 2234. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 7. Let z be n(-5). Find the second derivative of -3*g - g**5 - 8*g**5 - g**5 + z*g wrt g.\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 7*z**2 + 6*z - 8. Let b(m) = 1428*m - 2850. Let i be b(2). Suppose 4*t = 8*t - 24. Suppose 7*p = t*p + i. What is q(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/1135 - 48133\/127120. Let c = -713\/560 + x. Let k = c + 6\/7. Sort -4, 3\/7, k.\nAnswer: -4, k, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -t - 3*t. What are the prime factors of 17\/5 + t\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.254648l in millilitres?\nAnswer: 254.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - (-21726)\/(-1674)) + (-20)\/930.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 282 = -5*g. Let q = -34 + 64. Let n = q - g. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*f = -129, 2*o + 3*f + 189 = -3*o. Let c = 64 + o. Suppose 5*b + c = b - 4*l, b + 3*l + 15 = 0. Let s(i) = -i**2 - 6*i - 2. Give s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -2*d. Suppose d*h - 13 + 5 = 0. Solve -v - 22 = c + h*v, 0 = -4*c + 5*v + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767672.5ml in litres?\nAnswer: 767.6725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/3 - 247*d**4\/3 - 14725*d**3\/3 - 94585*d**2\/3 - 184354*d\/3 - 104248\/3 = 0. What is d?\nAnswer: -157, -83, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.274 + 3.294. What is the fourth biggest value in s, -1.1, 2, -2\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80) + 4)*-3*3.\nAnswer: -36*sqrt(5) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -319 - 6. Let v(h) = -n*h + 43*h - 17*h - 14*h. Let c(u) = -69*u. Let r(f) = -34*f. Let g(a) = 4*c(a) - 7*r(a). Calculate v(g(t)).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 - 47*r + 51. What is the tens digit of o(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21165600 to the nearest one hundred thousand.\nAnswer: -21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 518.\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:56 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841603 is divided by 140229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*3\/(-54)*(-30)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91346195 is divided by 1203?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 812?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2880450177 to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (3 - 7 - -4). Does 32 divide 8\/l*(-1 + 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.07 + 0.87. What is the fourth biggest value in -5, 5, b, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from {q: 1, g: 1, r: 3, d: 1, o: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 8*l - 1. Suppose -2*g + 0*g + 20 = 5*j, 5*g + j = 27. Suppose -5*m = -g*u + 20, 2*m - 5*u = -2*u - 6. Determine a(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0.5 (c) -1.9189 (d) 0.3 (e) -7 (f) -4 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1030031 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifyiyiyify. What is prob of picking 2 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*x = 32, 32 = -l - 8*x + 4*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2328.81 and 10.\nAnswer: 2338.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 30853855537617\nAnswer: -30853855537626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45638, 45549, 45464, 45383, 45306, 45233, 45164?\nAnswer: 45099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 3, a: 1, s: 1, y: 1, m: 4}. What is prob of sequence fsa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 18 = 5*c - 95, -c = 5*p - 112. Let m be (-2)\/(-2)*(0 - 11). Let x = m - -17. What is the remainder when p is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30639991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2. Let h(v) = -27*v - 24*v + 36*v. Give h(n(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t + 12. Let n be k(12). Is n + -2 + 10 + -3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*g = 260*g + 924 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 6641280.\nAnswer: 6641280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -160, -155, -150, -145?\n\"Answer: 5*x - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyzcztax. What is prob of picking 1 t and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268370.\nAnswer: 2, 5, 47, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.3, 42?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 38*a - 106. What is g(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away -0.53?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 - 1701. Let j = 1479.69 + u. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 6*x = 9*x + 9, 7*v = -3*x - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -5\/24, -0.4 in descending order.\nAnswer: -0.02, -5\/24, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.2000203 + -33.2. What is q rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**5\/20 + z**3\/3 + z + 3. Let f(c) be the first derivative of d(c). Find the second derivative of f(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*d**2 + 20779*d - 167 + 167 - 20779*d.\nAnswer: -83*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c**5\/3 + 31*c**4\/3 + 4*c**3 - 34*c**2\/3 - 20*c\/3 + 1 = 0.\nAnswer: -3, -1, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2584483854 to the nearest 1000000.\nAnswer: -2584000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -10. Let t be 2\/1 + (-3)\/v. Differentiate 1 - 4*a**4 + a**4 - t + 0 with respect to a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*b**3 + 8*b + 888.\nAnswer: 195*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 20*o - 510. List the prime factors of o.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 123 (b) 0 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = -4*c + 8, 5*z - 2 = -c. Let h(y) = -y**2 + 14*y + 56. Let t be h(17). Solve 0 = 2*x - 2*k - 14, -3*x + c*k + t = 3*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.14 + 0.14. Let a = -6.3 - i. What is the third biggest value in 0.5, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Suppose 52 = i*d - 33. Suppose -829*g + 2 = -831*g - 4*h, -19 = -5*g + 2*h. Solve -2*m - 3*t - 5 = 0, g*t = -d + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 3. What is s(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = 0, k + 2*k = -4*d + 67. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*c - 7*c + 27*c + (8 - 1 - 1)*(-2*c - 5 + 5 + (2*c + c - 4*c)*(-1 + 2 - 2)) in the form m*c + u and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*w**3 + 71*w**2 - 2348*w wrt w?\nAnswer: 36*w + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9 = -7*r. Suppose 0 = r*a - 6*a + 456. What is the highest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -5950752?\nAnswer: 5950763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 + l**2 + 13*l + 6. Let i be j(-5). What is i rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 14 + 6. Solve 16 = -4*k + 2*k - a*x, -3*k + x - 7 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1 + -2 + sqrt(3) + -3*sqrt(6)\/sqrt(2))**2 - (sqrt(15)\/(sqrt(5)*-4) + 1)**2.\nAnswer: 45\/16 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let x(w) = 52. Determine 4*c(t) - x(t).\nAnswer: 4*t - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j**(-2\/7)*j))\/j)**(-15)*(j**2)**(12\/5))\/(j**4\/(j\/(j**(-2\/13)*j)))**(-29) assuming j is positive.\nAnswer: j**(71459\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*x + 109*x + 5*o + 47, 4*o = -5*x - 52. Sort -3, -5, x, 0, -2 in ascending order.\nAnswer: x, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsi. What is prob of sequence bi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.012 + 0.012134. What is t rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 v when four letters picked without replacement from {q: 5, v: 2, o: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -16. Sort 1, w, 12.\nAnswer: w, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006107 rounded to four decimal places?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 2*r. Suppose -2*o - t = -2, 3*o + 3*t - 2 = t. Factor j**o - j + 0*j**r + 2 - 2*j.\nAnswer: (j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/30800 and -41\/2398.\nAnswer: 3357200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -6, 3 in ascending order.\nAnswer: -13, -6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -54728.99 to the nearest 10.\nAnswer: -54730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4 and 11\/238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-39 - 5) + -4 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 10:20 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10390993 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/12 - 1\/6. Suppose 0 = 3*o - 9, 3*g + z*g = 2*o - 3780006. Round g to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1984612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163409.\nAnswer: 163409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-320)\/((-3)\/(-36750)*4). Round m to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -477 - -596. Calculate the remainder when j is divided by 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -805 and -427 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -7*f**2\/2 + 2*f + 6. Let a(r) be the third derivative of -r**5\/60 - 3*r**2 + 12. What is g(a(x))?\nAnswer: 7*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27808 + -27743. What is the fourth biggest value in -44, i, 5, 3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12))\/(2\/(-20)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - 6\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, e: 1, p: 5, r: 2, m: 1, o: 1}. Give prob of picking 1 m, 1 y, and 2 r.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 5. Let a be k(7). Let h = a + 12. What is the second derivative of -2*p + 12*p**3 + 0*p - 11*p**h wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2770242 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q\/((q**2\/q)\/q*q)))*q)\/q)\/(q\/q**6)*q**0*q\/(q**(1\/4)\/q) assuming q is positive.\nAnswer: q**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 - 1440*o + 4284 = 0.\nAnswer: 3, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 1, -1831 = -4*i + x. Suppose -3*u = -u - i. Suppose -4*c + 4*q + 939 + u = 0, 0 = -4*c - 3*q + 1189. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 943700 (base 10) in base 6?\nAnswer: 32120552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/504)\/((-12)\/14). Let z be ((-3)\/(-2))\/(3\/(-78)). Let t = 235\/6 + z. What is the biggest value in t, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12943548 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 3, -1\/4, 1\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9668.31 * -0.4.\nAnswer: 3867.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 10219 and 10219 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q + 2. Let i be d(-3). Suppose i*p = 3*p. Suppose 2*u + 2*u - 80 = p. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 355728701.6 to the nearest 1000000.\nAnswer: 356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/7)\/a**(3\/7)*(a**5*a)\/(a*a*a**(2\/3)))\/((a\/(a\/((a**(-2\/5)*a)\/a)))**(5\/3)*(a\/(a\/(a*a**(4\/11))))\/((a\/(a\/(a\/(a*a*a**4))))\/a)) assuming a is positive.\nAnswer: a**(-248\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.302 * -5.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxllxxxlxl. What is prob of picking 1 x and 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 5*t - 2 + 6*t)*(13*t - 13*t + 8*t**4).\nAnswer: 48*t**5 - 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -4.94. Let h = -22.4 - -118.4. Let p = h + -100. Is p greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 17*i - 57*i + 280256 = 0. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-152)\/(-5) + 44\/(-110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158312081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2045022 to the nearest one thousand.\nAnswer: 2045000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (30\/11)\/((-207)\/(-1518))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 4 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(756)*-1 - sqrt(756)) + sqrt(756))\/(sqrt(12)\/sqrt(4)*-3))**2*-5.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92014*g**5*n**2 - 8*g**4*n**3 - 24*g**2*n**3 - 51*g**2*n**2 + 754*g*n wrt g?\nAnswer: 5520840*g**2*n**2 - 192*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 46 - 8 = 0. Let u = f - 10. Suppose -8 = -2*v + v. Calculate the least common multiple of u and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167486 is divided by 81.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 3, -190, 43 in increasing order.\nAnswer: -190, -125, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -259668877 times 2?\nAnswer: -519337754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 329.4 - 329.4002437. What is q rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-2) - (130\/13 + -16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1671 * 0.0814.\nAnswer: -136.0194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 - -131. Suppose k = 4*g + 4 - 68. Is (g\/(-4))\/4 + 3 + 455 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + 2. Let c be a(1). Let x be (-1)\/(4 - (-9)\/c). Solve -x*z + 3*l - 11 = 0, -z + 4*l = 11 + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 514, 511, 510, 511?\n\"Answer: r**2 - 6*r + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxppmppxpbxb. What is prob of picking 2 b and 1 m?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/((-352)\/300) + -6. Suppose -5*h + 146 = 126. Does u = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384636512 divided by 16.\nAnswer: -24039782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 17*m = 55, -1462*a + 2928*a + 3*m + 43 = 1464*a + 5 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129323?\nAnswer: 79, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -452 - -82?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2925 - 2924.8. Sort -84, l, -2, 0 in decreasing order.\nAnswer: l, 0, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1128*j**2 - 731. Let m(b) = 3948*b**2 - 2559. Let l(k) = 5*m(k) - 18*x(k). Differentiate l(n) wrt n.\nAnswer: -1128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -9\/5161 (c) -0.5 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.11233\nAnswer: 0.022466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (753024\/(-33072) - 6\/26)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 1. Let h = t - -17.9. What is h rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 9*f**2 + 7*f - 5. Let j be z(-8). Suppose u - j*w - 96 = 0, 4*w - 13 = -u + 76. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*p + 9 + 198 = 0, 4*h - 5*p - 269 = 0. Let b = h + -55. Solve 0 = -4*g + 4 - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -2. What is the remainder when 107 is divided by (-9)\/(-6)*132\/l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4, v + 0*p = 2*p - 3. Find the first derivative of 2 - 12*j**4 - v + 8*j**4 wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, g: 2, p: 2}. Give prob of sequence rrg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3210*m. Let d(l) be the first derivative of -2*l**3 - 4853. Give x(d(s)).\nAnswer: 19260*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(126\/(-20))*(-48)\/(-400).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*u + 10 + 10, -u = -2*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -14\/11 (c) 3\/10 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -7*p**3\/6 + 5*p**2\/2 - 24*p + 92. Let h(l) be the first derivative of b(l). Let r(a) = -6*a + 4. Give 5*h(s) - 6*r(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -357*r**3 + 6*r**2 + 10*r + 6. Let o(k) = -715*k**3 + 10*k**2 + 18*k + 10. Determine 7*a(y) - 4*o(y).\nAnswer: 361*y**3 + 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*35345\/(-42414).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*i - v - 12, -i - 3*v - 8 = 0. What are the prime factors of (-11 - -4)\/(1\/i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**3 - 540*u**2 + 5*u + 540 = 0.\nAnswer: -108, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4412311\/5 + (-3)\/15. Let f = -262462 + a. Round f to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose 86 = k*t - 0*c - c, 2*c - 53 = -t. Suppose -x = 3*n - 4*x - 33, 0 = -4*n + 5*x + 46. What is the greatest common factor of n and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/7 - 198*u**3\/7 - 3510*u**2\/7 + 151622*u\/7 + 583176 = 0. Calculate u.\nAnswer: -47, -33, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 90 = -23*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/8)\/(25\/((-3900)\/351)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a + 1. Let z(q) = 2*q**2 - q + 1. Let w(n) = -t(n) + z(n). Let o(b) be the second derivative of -11*b**3\/6 + 5*b + 41. Give w(o(v)).\nAnswer: 121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {w: 1, t: 1, q: 14}?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100527 (base 9) in base 3?\nAnswer: -10000120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*y + 23, -2*y - 5*f = -0*f + 21. Let z be (-3)\/(-12) + y\/(-8). Solve c + z = -4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29253.101 rounded to the nearest ten?\nAnswer: -29250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181307213?\nAnswer: 181307213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3\/28)*a))\/(a*a**(-14\/9)*a)*a**(3\/11)*a**24 assuming a is positive.\nAnswer: a**(66349\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 2*b + 0 - 33*b**2 - 2 + 63*b**2 - 9 to the form l*b + r + g*b**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20499122569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 5*w**2 + 16*w - 15. Let x be s(2). Let b(f) = -7*f + 17. Let q(p) = -4*p + 9. What is x*q(a) + 6*b(a)?\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5718 less than -42313478418?\nAnswer: -42313484136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 6) to base 15\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 2101433040?\nAnswer: 2101433044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 70\/3 (c) -2\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -41\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41459 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 60 = t - 2, 15 = -5*i. Suppose -2*r = 5*x - 122, -r - 4*x + 5 = -t. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {k: 4, w: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1123.04 - 1123. Which is the third smallest value? (a) r (b) 0 (c) -1 (d) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 0*j**2 + 77*j - j**2 - 76*j + 10. What is the tens digit of g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -133*u + 2 - 133*u - 2 + 261*u + 1. Suppose -3*b = 2*b - 5. What is l(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 27*c - 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1644930688 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from ooccccdoccococccdcoo?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 10*f. Let m(c) = 11*c**2 - 7*c**2 - 6*c**2. Determine x(m(y)).\nAnswer: 8*y**4 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0088938*-0.2\nAnswer: 0.00177876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/4 - 5*j**3\/3 + 13*j**2\/2 - 12*j - 441. Determine d(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 4*t**2 + 7*t + 5. Let j(x) = -x**3 + x**2 - x - 1. Let l be (3\/6 - 2)\/(3\/(-10)). Determine l*j(b) + f(b).\nAnswer: -b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768\/7 smaller than -20763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3295, 3, -12 in descending order.\nAnswer: 3, -12, -3295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -808 times 503?\nAnswer: -406424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 3. Let f(x) = x + 5. Let r be f(-7). Let c be h(r). Solve 0 = c*q + a - 4, -5*q - 5*a + 0*a = -10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) -4 (c) 1\/6 (d) 1234.8 (e) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9216121 divided by 6.\nAnswer: 9216121\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/3 - 4300*b**3\/3 - 34286*b**2\/3 - 9996*b = 0.\nAnswer: -2142, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-70) + (-1)\/(10\/(-2206)) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3, 0*a = -k + 2*a - 9. Let f = k - -6. Suppose 555 - 87 = 3*u - f*y, -2*u - 5*y = -333. What are the prime factors of u?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -97, 0.4, -9, -5, -5\/24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 67611*s + 4113104. What is j(61)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15*z = 66. Let m = 125 - 86. What is the lowest common multiple of m and z?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmm when three letters picked without replacement from mmrmmmrmrmmrmmmrrrrr?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - k)*(-k**2 - 4*k**2 + 2*k**2) - k**3 + 5*k**3 - 3*k**3 + (0*k - k**2 + 0*k)*(-3 - 2*k + 3).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19016 * 78.6\nAnswer: -1494657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1629)\/3258*200\/(0 + 2).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(624))\/(sqrt(300) - (sqrt(300) + 1*sqrt(300)))*3)**2.\nAnswer: 7488\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156 - ((3 - -27) + -316 + 322)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 109*k**3\/3 + 175*k**2\/2 - 243*k. What is the derivative of f(d) wrt d?\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -5. Let w be 4\/f - (-22)\/6. Let l be 0\/(3\/(-3*1)). Solve l = -j + w + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -9569809 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -20*v + 184\/3*v**2 - 64*v**3 + 24*v**4 - 4\/3*v**5 + 0 = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -121. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**2 - 19. Let w be t(5). Suppose w = 2*s - 67. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*1.7.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 155. Calculate the remainder when i is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - v - 945, -2*n + 4*v = v - 1885. Suppose n = 7*d + 285. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 28*b = -54*b + 10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*s + 20, 3*s + 8 + 8 = -4*j. What is the tens digit of 18 - 0\/(3 - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 5*f - 21. Determine v(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 = -9. Let s be 4\/(-18) - (-141)\/27. Let v = 5235 - 5238. Sort u, s, v in decreasing order.\nAnswer: s, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*b = -126*b - 52 + 1477. What is the remainder when 4274 is divided by b?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 84.93228 milliseconds?\nAnswer: 0.08493228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 3 + 81 + 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1 + (-98)\/35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 4 - 730*i.\nAnswer: -730*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 5*b = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - (107 - 42)) + (0 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.79 - -0.21. Which is greater: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 3\/188 (c) 206 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9638709ug?\nAnswer: 0.0000000009638709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3\/3 + 15*q**2\/2 - 36*q - 18. Let z be t(12). Solve z = -2*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3373 - -5031. What is the remainder when b is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 68926?\nAnswer: 2\/34463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 n when four letters picked without replacement from nqvvvqnnnnnvvvqnnqqv?\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 354 or 349?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 - (50 - (187 - 13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010855565303 less than -5?\nAnswer: -5.010855565303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/210 - 121*r**4\/14 + 43923*r**3\/7 - r**2 - 716. Solve i(z) = 0.\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -56, -210, -508, -998, -1728?\n\"Answer: -8*s**3 - 2*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(32)\/(-2*sqrt(2)*-1))\/((4*(sqrt(16) - sqrt(16)*-2 - sqrt(16)) + sqrt(16))\/(-6*sqrt(8))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8347*r**5 - 9444*r**4 + 237936323*r.\nAnswer: -166940*r**3 - 113328*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66154*b**3*n + 775*b**3 + 81*b**2*n + 2*b**2 + 3*b*n + 3*b + 2236 wrt b?\nAnswer: -396924*n + 4650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/2)\/(183\/(-122))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/45 - 22*s**5\/15 - 40*s**4\/3 + 11200*s**3\/9 + 128000*s**2\/3 - 14*s + 155. Let d(v) = 0. Calculate v.\nAnswer: -20, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*k + 163471 = 4*k, -k + 65386 = 2*g. Suppose c - 2*c + 1 = 0, -5*c = -3*v + g. Round v to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 46*n - 86. Let h be i(-13). Solve -9*j - 37 = -5*j + 5*y, -y = -h*j - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.691, -0.5, -1, 0.2 in decreasing order.\nAnswer: 17.691, 0.2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 8*j + 1 + 3 as x*j + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 63.9.\nAnswer: 68.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 395*y**2 + 55*y + 20. Let f be n(-27). Suppose -34680 = -10*t + f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8.8266 and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 + 0 + -16 + 10 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 - 2*f + 1. Let d(w) = -5*w**3 + 2*w**2 - 5*w - 1. Let l(y) = -d(y) + 4*q(y). Give l(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (10\/(-35) - (-256)\/56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (248*w**2 + 9*w**3 + 248*w**2 - 497*w**2)*(-3 + 5 + 0)*(-4*w + 3*w + 2*w) in the form x*w**4 + s*w**2 + k*w + z + t*w**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n**3 - 9*n**3 + 8*n**3 + (-n**3 - 4*n**2 + n**2 + n**2)*(-27 + 12 + 0) as i*n**2 + d*n + s + o*n**3 and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, g: 1, d: 2, q: 1, l: 1}. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.87 - -15940.87. Let n = 15932.0068 - h. Let o = 3 - n. What is o rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 less than 0.121?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1462 + -1463. Let a(s) = -5*s**2 + 2*s - 5. Let i(h) = 11*h**2 - 4*h + 11. Let k(c) = 13*a(c) + 6*i(c). Calculate k(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 7*a**2 - 4*a - 28. Let d be z(-7). Suppose 3*u = 7*u - w - 20, -4*u - 5*w = -44. Let v = 8 - u. Solve d*h = v*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 + 10*i**4 + 30*i**3 - 40*i**2 - 25*i + 30 = 0. Calculate i.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from {s: 3, t: 1, n: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28377, -56736, -85083, -113412, -141717, -169992, -198231, -226428?\n\"Answer: x**3 - 28366*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k + 35. What is u(-11)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 16*d - 37791. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69.3951 - 69. Let m = y - -3.5879. Let x = -0.017 - m. Which is the third smallest value? (a) 2\/5 (b) -5 (c) x (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15060 - 15050. Let v = 12 + -6. Suppose 4 + v = 5*y. Calculate the smallest common multiple of n and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 2*a + 1. Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 4, -7.96, 5, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-96)*((-70)\/(-22) + -3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1230 by -10.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/7150124 and 41\/44194?\nAnswer: 135852356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -1\/2, 19, -0.3, 1\/76 in ascending order.\nAnswer: -2, -1, -1\/2, -0.3, 1\/76, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4560667501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c - 0*c. Suppose -5*f + 6*j - 4*j = -18, -4*f = 2*j. Let s(q) = 3 - c - f*q + q. Let w(x) = 2*x**2. What is w(s(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 245917 times 0.2\nAnswer: 49183.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13149 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/4))**(6\/25)\/(t*t**(-3\/8)*t*t**6\/t*t) assuming t is positive.\nAnswer: t**(-317\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7577130)\/(-160727)*14\/(-6)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -5)*(-1)\/3. Solve -2*m + h*m - 10 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-3*h**2 + 6*h**2 - 2*h**2) + (-3*h + 3*h - 3*h)*(4*h - 2*h - 5*h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, -76, -306, -536?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -1 - sqrt(5)) + (4*sqrt(15)\/sqrt(3) - sqrt(5)))**2*4.\nAnswer: -56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11388 and 728.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-15))\/((-117)\/(-45) - 3). Determine r so that x*r**4 + 8*r**2 - 20\/3*r + 2 - 4*r**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12220, -24713, -37206, -49699, -62192?\nAnswer: -74685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3130.473 and 2?\nAnswer: -6260.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/12 + 13*v**3\/6 - 8*v**2 - 4*v. Let d be p(12). Let z be d*2\/(-136)*2. Sort z, -1, -1\/6 in decreasing order.\nAnswer: z, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 697263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 18, 47, 78, 105, 122, 123, 102?\n\"Answer: -u**3 + 10*u**2 - 2*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - g**2 + 1. Suppose 0*b + 2*b - 6 = 0. Let a = 2 - b. What is m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-24)*(-100335)\/(-12). Let t = 2783 + o. Find the common denominator of 282\/(-9)*(-6)\/8 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69242*o**3 + 2*o + 11919*o**3 + o.\nAnswer: 81161*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-581)\/70882).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49459788 to the power of 1\/2, to the nearest integer?\nAnswer: 7033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i - 31. Let m(f) = 3 + 232531*f**2 - 3 - 232525*f**2. Calculate d(m(h)).\nAnswer: 30*h**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 - -1.13944311703.\nAnswer: -9.86055688297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:42 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/16)\/7*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 66. Let t(q) = q**3 - 2*q**2 - 3*q + 5. Let u be t(g). Solve 0 = -2*v - 4*w - 8 - 14, 0 = -2*v + u*w + 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/300 + l**5\/50 - 4*l**3\/15 + 11*l**2. Factor i(f).\nAnswer: 2*(f - 1)*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49050, -3, 1, -5 in increasing order.\nAnswer: -49050, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 45. Let k = -5 + a. Let u = 19 + k. Calculate the highest common divisor of u and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -21. Solve f = 2*p - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-33)*f)\/(f*f**31\/f))\/(f**13\/f)**(-1\/20) assuming f is positive.\nAnswer: f**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g + 11. Let j be w(-4). Suppose d = j*t - 234, -2*d = 5*t + 4 - 405. What are the prime factors of t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228881180.\nAnswer: 2, 5, 11, 271, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(48*y + 4*y**2 - 33*y + 3*y**2) in the form g*y**2 + k*y + d and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 960, 1434, 1890, 2322, 2724?\nAnswer: 3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 20*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0510960701 + 6.2\nAnswer: 6.2510960701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35928?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 - 7*m**2 - 7*m + 7. Let w be 2\/8 - (11 - 639\/36). Let c(p) = 3*p**3 + 5*p**2 + 5*p - 5. Determine w*c(d) + 5*n(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 2*y**3 + y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2554491 is divided by 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3794 = 16*a - 7586. Calculate the greatest common divisor of 3239 and a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/7 - 4*k**4 + 92*k**3\/7 - 128*k**2\/7 + 82*k\/7 - 20\/7.\nAnswer: 2*(k - 10)*(k - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 + 6\/5*v**3 - 2\/5*v**2 - 16\/5*v.\nAnswer: 2*(v - 2)*(v + 1)*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4045 - 1ba?\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 748057172661.\nAnswer: 748057172662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 + q**4 + (2*q**2 + 2*q - 2*q)*(-2*q**2 - 2*q**2 + 3*q**2) + (-q - q + 0*q)*(-13*q + 14*q - 7*q**3 - 3*q**3).\nAnswer: 19*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5\/2 - 340719*n**4\/2 - 9599386845*n**3\/2 + 4243782686547*n**2\/2 - 233765940281640*n + 231648848802150 = 0.\nAnswer: -57005, 1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 64. Let l = p - -20. Solve -l = 3*t + 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 265*w**2 - 1. Let r be j(-1). What is the common denominator of r\/(-10)*(-7)\/28 and 49\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/198 and 107\/352.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25844\/112 - 1*(-2)\/8. Let s(b) = -55*b + 3. Let r be s(-4). Suppose -5*o + 0*k + t = -k, 5*o = 3*k + r. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 13) in base 12?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 500\/40*-2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 5 (c) -9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 25*m**5 + 794205*m**4 + 6307695224*m**3 + 1260998996*m**2 - 4036696224*m + 1009205824 = 0.\nAnswer: -15884, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 3. Give p(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*x - 17*x + 1 + 35*x**3 - 16*x + x**2 as n*x + g + r*x**2 + q*x**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55212378029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = t - 4*u, -10*u + 142 = 2*t - 6*u. Suppose -b - 30 = -k, -2*k + 7*b - 2*b = -t. Let m = -38\/37 - 1217\/148. Find the common denominator of k and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296, 537, 778, 1019?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 21\/(-9) + (-26)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -55.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -19, 22, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2992898 and 0.1.\nAnswer: -2992897.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/7 - (-12)\/42. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53170 and 520.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - sqrt(95)*2)*-4)\/(sqrt(20)*2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.496 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 180832.8 rounded to the nearest 1000?\nAnswer: 181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b5 + 7?\nAnswer: 8bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59928 - 4?\nAnswer: 59924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-24)\/32*4\/(-42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*u**3 - 4)*(385*u**2 - 208*u**2 - 77*u**2) - 4*u**5 + 12*u - 12*u.\nAnswer: 196*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 3*c + 4. Suppose 0*q - q + 3 = 0. Let w be o(q). Solve -y = w*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 18. Let m = 30 + o. Suppose m*a + 4*f = 121, 2*a - 31 = -2*f + 17. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.41 - -3.521. Let h = m - 0.111. Let o = 0.05 - -4.95. Which is the closest to h? (a) 1 (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 18 = 62. Let y be (1\/(-1))\/((-2)\/4). Let n = j - y. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2451*m - 3*m**3 + 2*m**3 - 5*m**2 - 2447*m - 4*m**3 - 5 in the form h*m**3 + i*m**2 + t + q*m and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:53 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 72?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14315 (base 7) in base 16?\nAnswer: f5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -3 + (sqrt(19)*-5)**2 + -1 + sqrt(95)\/sqrt(5)*-6 + sqrt(190)\/(1*sqrt(10)).\nAnswer: -4*sqrt(19) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u. Let o(t) = -3*t. Let r(v) = v. Suppose 0 = -4*y + 14 - 30. Let c(f) = y*o(f) - 10*r(f). Give c(b(p)).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6201091910 to the nearest 1000000.\nAnswer: -6201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3*(-6)\/9). Let x be 1\/((-4)\/(-32)) + v. Let y(a) = a**3 - 5*a**2 - 4*a + 9. Does 24 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mal when three letters picked without replacement from {m: 8, l: 2, e: 2, a: 4, z: 1, f: 2}.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/32 and 149\/150.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -96046.80405 rounded to the nearest 1000?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 14*c - 1935. List the prime factors of c.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + 5d?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-264)\/(-279) + (-2)\/2. Let k = 7181\/372 + m. Calculate the common denominator of k and -6*(-3)\/20 - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 30, 117, 238, 393, 582?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 10*v + 8 = t, -5*v + 3*t = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 less than 152101.0903?\nAnswer: 152100.9103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -5*d**3\/3 - 3*d + 162. Let m(a) = 96*a + 33. Let y(t) = -6*t - 2. Let r(x) = 2*m(x) + 33*y(x). What is c(r(g))?\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-66) + (-891)\/3630)\/(3\/555).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2358149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1733193715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.9368 - 73140698.\nAnswer: -73140694.0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -769.\nAnswer: 4\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596817600 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2128, 1\/1848?\nAnswer: -2128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/9 - 4\/(-16)*-12. Which is the closest to -3? (a) r (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*-2*(-4 + 6*sqrt(153) + sqrt(17) + 1*sqrt(1377)))**2.\nAnswer: -516096*sqrt(17) + 30744576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -29*f**3 + 3860*f**2 - 420*f + 2793. Determine z(133).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -426389, -425993, -425579, -425141, -424673, -424169, -423623, -423029?\n\"Answer: u**3 + 3*u**2 + 380*u - 426773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**4 - k**3 + k. Let l(r) = 11*r**4 - 516*r**3 - 3*r - 1244. Let c(n) = -3*i(n) - l(n). Find the first derivative of c(u) wrt u.\nAnswer: 4*u**3 + 1557*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732 = -9*f + 11*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143476959.\nAnswer: 47, 2777, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - l = -85, -5*z + 4*l + 60 + 62 = 0. Calculate the least common multiple of z and (-24)\/(-18)*(-18)\/(-2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3200231808 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 3764*q + 33714.\nAnswer: 2*(q + 9)*(q + 1873)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -668 + 867. Let z = -195 + j. Let -1\/6*m**z - 2\/3*m**3 - m**2 - 2\/3*m - 1\/6 = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 39. Let d be m(-11). What is the highest common factor of 323 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130177.6877 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 350*h**2*m - 3*h**2*x**3 + 32*h**2*x - m*x**3 - x**3 wrt m.\nAnswer: 350*h**2 - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*y - 535*y - 2*y**2 - 170*y.\nAnswer: -2*y**2 - 1346*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g + 63. What is p(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -197340960 divided by -39468192\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*l - 203*l - 5 - 184*l.\nAnswer: -1000*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106423218?\nAnswer: 2, 3, 11, 19, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 80 in descending order.\nAnswer: 80, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3*r - 4*r)*(-r**2 - 2*r**2 + r**2)*(-3*r + 0*r + 4*r)*(-13 - 7 + 0).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d2455 + 184?\nAnswer: -d22b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -1\/6 (c) 2236398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855 greater than or equal to 2841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 2\/7 (c) 0.22023 (d) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 7*x**2 + 4*x - 16. Let q be d(7). Suppose 5*u - q = -2. Suppose -7*j + 60 = -u*j. What is the least common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 80 = 2*a, -3*w - w - 186 = -5*a. Suppose -a = 5*p - 7*p. Let r be 2 + ((-2)\/1 - -2). Solve 7 - p = r*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + -155.8.\nAnswer: -155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 33. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264821381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 522394 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 255*s**2 + 5*s.\nAnswer: -255*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2826*p + 2830*p + k, -2*k - 16 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3\/22 (c) -2\/1015 (d) -0.2 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-27*9\/(-54))\/((-3)\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -1336.1?\nAnswer: 801.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 49 + 61. Let i = 33 + y. Solve 5*o - i = 4*d - 2, -3*d - 6 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(125) + -3 + sqrt(125) - sqrt(125))*-4 - ((sqrt(125) - (-3 + sqrt(125)))**2*3 + sqrt(125)))*1.\nAnswer: 90 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/15)\/(3\/9))\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7.94. Let v = p + 0.07. Put -0.3, -3, v in ascending order.\nAnswer: -3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Let f(s) be the second derivative of 3*s + 0*s**2 + 0*s**3 + 1\/18*s**i + 0 + 1\/63*s**7 + 1\/15*s**6 + 1\/10*s**5. Factor f(y).\nAnswer: 2*y**2*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 383, -1, 0 in descending order.\nAnswer: 383, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = 4*a, h - 12 = -3*a + 2*h. Suppose a*x + 16 = x. What is the units digit of -22*((-13)\/2 - x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-6))\/(-1)*-3*-1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -43449*q + 196. Let m(h) = -2*h. Determine m(y(d)).\nAnswer: 86898*d - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 6*l + 6. Let q be o(6). Suppose 2*g = q*g - 12. Find the third derivative of 3*x**2 + 2*x**3 - g*x**3 + 5*x**3 wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -842 + 2662\/3. Let l = w - 45. Factor y**3 - 1\/3*y**2 + 0 - y**4 + 0*y + l*y**5.\nAnswer: y**2*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 6, 3, -9 in decreasing order.\nAnswer: 6, 5, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68186750 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -67. Let b be (18\/(-45))\/(8\/v). What is the nearest to b in -5, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3*o + 0*o)*(1 + 0 + 0)*(46 + 114 - 370).\nAnswer: -210*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 760317*d**2*h**2 + 152862*d**2 + 4*d*h wrt h.\nAnswer: 1520634*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4037170?\nAnswer: 2, 5, 403717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 125*p**3 + p**2 - 2*p - 4. Let a be z(2). Suppose -10*x + a = 2*s - 6*x, 4*s - 3*x = 2003. Calculate the highest common divisor of s and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(500) + 2 - sqrt(500))**2 - (sqrt(500) - (sqrt(500) + 1))**2*-6 - ((sqrt(500) - (4 + (sqrt(500) + -1)**2)) + 3)).\nAnswer: 10*sqrt(5) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = 16508 - 117056. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 698198447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = 7*w - 259. Suppose 3*h - w = 2089. Suppose -4*u = -10*u + h. List the prime factors of u.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (-4 + sqrt(343)*1)*-4)*1.\nAnswer: -140*sqrt(7) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30528?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 23?\nAnswer: 11\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 1\/5, 0.4, 173, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + g**2 - g + 1. Let v(r) = -4*r**3 - 4*r**2 - 2*r - 13. Let j(s) = -6*h(s) - v(s). Is j(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/3)*p*p\/(p\/(p**(-17)*p))*p*(p*p**(-5\/3))**(-17) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 17*d**2 + 8*d + 21. Let y(n) = -n**3 - 4*n**2 + 2*n + 5. Let b(g) = 2*c(g) - 9*y(g). Let k = 22 - 13. Suppose -2*o = k - 3. Determine b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023*-27\nAnswer: -0.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 - 16*f + 17. Let r be x(1). Suppose -r*k = 4*w - 47, 27 = 3*w - 3*k + 4*k. What is the highest common factor of 32 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 1. Differentiate k**i - 1 + 3 + 0*k**4 with respect to k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35046085*v**3 - 2*v**2 - 24804174?\nAnswer: 105138255*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62258723 to the power of 1\/2, to the nearest integer?\nAnswer: 7890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.24 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 37 = -s, 3*s = 4*z - 39. Let n = z - 5. Let p = n + 43. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -2 - 3\/6*196\/49.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 352*k + 59 - 310*k - 266. What is the thousands digit of t(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -1\/30*m**5 - 1\/120*m**6 + 0*m**3 - 1\/24*m**4 - 1 + 0*m - 29\/2*m**2. Let u(w) be the second derivative of x(w). Factor u(y).\nAnswer: -y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647427340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -281 - -379. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**3 - 76*t**3 - 29*t**3.\nAnswer: -77*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21170, -84730, -190666, -338978, -529666, -762730, -1038170?\n\"Answer: -21188*d**2 + 4*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43884)\/(-1484))\/((-9)\/(-21)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*g - 18, 11 - 26 = 5*g. Let h = -59361\/185 - -1603\/5. Let f = h + 23\/222. Which is the nearest to 2\/3? (a) -5 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 370118792*p**4 - 128303297 wrt p?\nAnswer: 1480475168*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -30*q**5\/19 - 22*q**4\/19 + 64*q**3 + 2728*q**2\/19 + 896*q\/19 = 0.\nAnswer: -16\/3, -2, -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-98)\/5 + (-4)\/10. Let v be (3\/(-3))\/(4\/h). Sort -5, 2\/9, v in ascending order.\nAnswer: -5, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (2 - 1) + 29. Suppose -s = 3*s - d. Let r be 8\/28 - 16\/s. Let y(t) = -t**3 + t - 1. What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 4*m - 4*m - m.\nAnswer: -m + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9846.01 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -10 - (2 - (-3 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*h - 1 + 13, h + 3*m = -4. Let p be 1\/(-1*(-2)\/h). Does 4 divide (-21 + -15)\/(3\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -12*z**3 - 17*z**2 + 12*z + 16. Let h(k) = 13*k**3 + 15*k**2 - 10*k - 14. Calculate -7*h(b) - 6*s(b).\nAnswer: -19*b**3 - 3*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 6*l + 1. Suppose -3*g + 5 = -4. Suppose g*a - 9*a = -18. Let n(s) = -7*s + a*s**2 + 9 + 0*s - 10. Determine -4*n(p) - 5*z(p).\nAnswer: -2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbniiuju. What is prob of sequence iin?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**10\/25200 - f**6\/144 - 7*f**5\/60 + 13*f**2. Let q(h) be the third derivative of s(h). Differentiate q(k) wrt k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 - 12 = 91*w + 426 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1181 or -390?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1891.4272 to the nearest 10.\nAnswer: -1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.6 + 0.6. Let m = -3 - l. Let c = 35 - 73\/2. Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 36 - 12. Suppose 10*t = i*t - 2. Sort -5, 4, 3, t in increasing order.\nAnswer: -5, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 62 + 274. Calculate the highest common factor of 140 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 308421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.64 and -0.08.\nAnswer: 0.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 1265 - 7157. Let o = c + 432. Calculate the common denominator of 42\/5 and (-1)\/8 + o\/(-72).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/9 (c) 0.4 (d) -3 (e) -11\/3 (f) -28182\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13 + (-134)\/(-26) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/(-24) + 10\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 302, 504, 706, 908, 1110, 1312?\n\"Answer: 202*i + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.2 - -69. Let r = k - -10. Sort r, 4, -3.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 2611763.\nAnswer: 2611758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 440 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99210?\nAnswer: 2, 3, 5, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - x = 108, -38*u + 35*u + 51 = 4*x. Calculate the highest common factor of u and 5544.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(185\/(-148)*8\/60). Solve -2*i = c + 7, 5*i + 24 = c + d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 388177, 776360, 1164541, 1552720, 1940897, 2329072?\n\"Answer: -k**2 + 388186*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 608 - 607.9663. What is c rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 2*y - y)*(0*y - y - 13*y) + 3*y**2 - 3*y**2 + 2*y**2 + (2*y + 3*y - 3*y)*(2*y - 1 + 1) - 1 - y**2 + 1 to the form o*y**2 + v*y + t and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 15\/11?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3049839.59 rounded to the nearest 100?\nAnswer: -3049800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 3)*(4 + -7 + 4). Put j, -2\/3, 4, 0.5, 1.9 in descending order.\nAnswer: 4, 1.9, 0.5, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-3)*q)\/(q*q*q**(4\/5)*q))\/(q**0)**(2\/91))\/((q**1)**(-27)\/(q*q*q**(2\/7)*q**(-6))) assuming q is positive.\nAnswer: q**(647\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42691528003439 plus 1.1?\nAnswer: 42691528003440.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, q: 3, i: 2, d: 2}. Give prob of sequence diid.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128762237 to the nearest integer?\nAnswer: 11347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 35, 89, 165, 263, 383, 525?\n\"Answer: 11*l**2 - l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11432122 and 19\/22.\nAnswer: 125753342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - s + 13. Let u(x) = x + 4. Let d(c) = c - 1. Determine s*u(q) - 3*d(q).\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose 55 = -w*p + 49. Let v be 20\/(-3) + (-2)\/(-3). Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 1\/2*f**3 + 0*f**2 + 0 + 7\/24*f**4 + 1\/60*f**5 - 2*f. Let z(v) be the second derivative of h(v). What is z(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*f + 2, 0*c - c - 4*f + 14 = 0. Let x be 4 - c - (1 - -1). Solve s = o - x*o + 9, 10 = 2*o + 5*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -218, 4 in increasing order.\nAnswer: -218, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/13368 and -131\/23118?\nAnswer: 51506904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, i: 14}. Give prob of picking 4 k.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -79606?\nAnswer: -2\/39803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/35 - (-18475)\/(-2625)) + (1 - (-44)\/(-20))?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -2124?\nAnswer: 38232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3)\/2*-5. Suppose 0 = 5*u - r*v - 65, -3*u - 3*v + 76 = 25. Let l be u\/20*2\/6. Is l at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -0.6, 15\/2, 3.9, 2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:53 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let g = f + 3. Put -5, g, -0.1 in ascending order.\nAnswer: -5, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/9)\/k)\/k*k**14*(k*((k\/((k**(-4)*k*k*k*k)\/k))\/k)\/k)**(-5) assuming k is positive.\nAnswer: k**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**2 + 16. Let p(s) = -7*s. Determine p(m(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 567?\nAnswer: 56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*110\/220.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 10*b**2 - 13*b - 22 = 0. What is b?\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 15*a + 37. Determine n(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + a + 1. Let d be v(-1). Let h(b) = 3*b**2 + 4*b**2 - 3*b**d - 3*b**2. Let l(r) = 4*r - r + 2*r. Give h(l(s)).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, and 2 h when four letters picked without replacement from wwpnzwppwhhwhczpnw.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1707190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 135105*m.\nAnswer: 5*m*(m - 27021)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 1. Let j be c(-1). Suppose 5*i + 0*d + d = 947, -i + 181 = j*d. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 74*p - 165 = 70*p, -2*x - p + 295 = 0. Let k(n) = 46*n + 2. Let j be k(2). Let o = -36 + j. Calculate the highest common divisor of x and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 - 293*o - 19 - 2*o**4 + 2 + 18 - o**2 - 3*o**4 to w*o**3 + d*o**4 + q + k*o**2 + l*o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 544.7883 + -544.9. Round b to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/24)\/21*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 5)*1941\/6. Suppose s + s = 4*c - 650, -5*s - h = -4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270.284 take away 0.7?\nAnswer: -270.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1125)\/(-6))\/(18\/24). Let r be 18\/(4*5\/z). Suppose 0 = 2*g - 8, 49 = -5*j + g + r. What is the highest common divisor of 360 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8345105 nanoseconds in seconds?\nAnswer: 0.0000000008345105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 23*i + 6. Let k(m) = -6*m**3 - 68*m + 17. Give 6*k(n) - 17*v(n).\nAnswer: -2*n**3 - 17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g - 2173 + 8270. Are g and 2347\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 43*m**2 + 218*m - 81. What is y(-37)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2291*k**5 + 4*k**4 - 2*k**2 + 552989*k.\nAnswer: 45820*k**3 + 48*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1*-6 - (2*sqrt(85))\/sqrt(5).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/27 in 0, -1\/6, 2\/1295, 5?\nAnswer: 2\/1295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 13. Find the first derivative of w*b**2 + 7 - 18*b**2 - 11*b**2 wrt b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + 3*sqrt(288) + 2 - 4*(3*(sqrt(288)*-2 + sqrt(288)) - (sqrt(288) - (1 + sqrt(288))*-2)))**2.\nAnswer: 9720*sqrt(2) + 210177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21002002222 (base 3) to base 4.\nAnswer: -202000313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1020 - -0.8.\nAnswer: 1020.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232200 and 1818000.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 7. Determine k(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043764210 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v + 1. Let i(u) = -34*u + 4. Suppose 0 = 84*y - 92*y - 112. Calculate y*m(z) + 3*i(z).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, 7, -57, 2 in descending order.\nAnswer: 7, 3, 2, 1, 0, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/14, 1, -313983?\nAnswer: -313983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*v + 4 = 239*v + 3*b, -4*b = v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5867 a factor of 113464026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (0 - (4 - 11))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*t - 44 = -73, 0 = -g + 5*t + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/15 - 39\/(-5). Let w be ((-95)\/40)\/(30\/o). Let s = w + 2\/15. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*x + 122*x + 41*x)*(-1 + 1 + 2).\nAnswer: 208*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 11*f - 6. Give n(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35893 and 1562726?\nAnswer: 20315438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001897021 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 10. Let z be (0 - (9 + 3)) + f. Let l = z - -72. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(5) + 6*sqrt(15)\/sqrt(3)) - (sqrt(5) + (1*sqrt(10)\/sqrt(2))**2).\nAnswer: -7*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*i = -58, -2*i = 5*s - 3*s - 72. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4217256 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 i when three letters picked without replacement from {i: 9, m: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 2, w: 1, k: 1}. Give prob of picking 1 w and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35070 and 3493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2 + 4*g + 7*g - 14*g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 + -8 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*b - 15, -d = 2*b + b + 17. Let v be 4\/(8\/(-13))*d. Let y = 14 - 11. Solve -y*g = 4*m - v, 3 = -m + g + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2\/15 - 54764*l\/15 + 374886962\/15 = 0.\nAnswer: 13691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - 9. Calculate the remainder when 81 is divided by g(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = 4. Suppose 1 = t - c. Suppose 0 = -2*p - 4*a - 6, t*p = -2*p - 3*a + 8. What is the greatest common factor of 20 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -7 (c) 189 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.8 + -105. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432110856 to the power of 1\/3, to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 - (2 - 0 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 3. Let r be z\/(-28) + (-51)\/12. Which is the second biggest value? (a) r (b) -0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(2\/23)\/(l**0)**39*(l**(-1)*l\/l**(-2\/5))**(9\/5) assuming l is positive.\nAnswer: l**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 3, u: 2, h: 3, a: 1, l: 4, k: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuyy when four letters picked without replacement from {u: 6, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -126*g + 427. What is the hundreds digit of q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0335 plus 53677?\nAnswer: 53679.0335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3875 * 35.\nAnswer: 135625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = 5*g, -5*g - 30 = -3*j - 2*g. Let f = -11 + 14. Suppose c = -f*t + 18, -c + 0*c + 5*t + 34 = 0. Calculate the remainder when c is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2) - 27\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*1 - 0\/(-6). Let n be 6*d\/(-6) - 3. Suppose -3*z + 6 - 15 = n. Sort -9, z, 3.\nAnswer: -9, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 5 (b) -596\/163 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -33*r**3\/2 + 38*r. Let y(k) = k**2. What is u(y(m))?\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263841?\nAnswer: 83, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14 = 3*b + 3*x, 2*b = -4*x + 12. Let a = 2 - b. What are the prime factors of (0 - 1 - a)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290676259, -581352517, -872028775?\nAnswer: -1162705033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbzv when four letters picked without replacement from {t: 4, v: 1, b: 6, e: 4, z: 1, m: 2}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4905 + 58955\/12. Find the common denominator of s and -73\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.6 - 12. Let s = k + -0.1. What is the closest to 0.1 in s, 1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**4*h)*((h*h*h*(h**(1\/3)\/h)\/h*h)\/h*h*h)\/h)**6)**10 assuming h is positive.\nAnswer: h**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.2. Let p = 0.4 - 0.7. Let g = b + p. Put 3, g, -5 in ascending order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1351430 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -54, 3 in decreasing order.\nAnswer: 3, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-258)\/322 + (-6)\/21.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 - 4*d**4 + 2*d**4)*(1 + 12*d - 1).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86523 + 86505. Let g(c) = -c. Let v(p) be the third derivative of p**5\/10 + 3*p**4\/4 + p**2. Determine n*g(y) - v(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 56?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 9786.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 216*l - 5832.\nAnswer: -2*(l - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -934143385 + 16.\nAnswer: -934143369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 50716?\nAnswer: 5071a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -143. Let b = x + -36.0106. Round b to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/16 - 15\/120?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 2*j**4\/3 - 90*j**2 - j. Let d(l) = -17*l**2. Give o(d(p)).\nAnswer: -272*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*l - 0*r + 3*r, -r = 2*l + 22. Let z = l + 16. Let u be z\/6*9*4. What is the highest common factor of 16 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 0 + 0 + (0*a + a + a)*(7 + 0 - 4).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 times 17437905?\nAnswer: 1360156590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 15) to base 2\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8))**19*(d\/d**(3\/8))**(-45))**(36\/11) assuming d is positive.\nAnswer: d**(-1179\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 22 = 4*j, 5*u + 0*u + j - 15 = 0. Suppose -5*w + 2 = u*d - w, 24 = -3*d + 3*w. Let r(g) = g. Determine r(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/12*8\/(-126)*(-198 - -204).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*v = 167 - 7343 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 14. Is d(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4)*2)\/sqrt(2) + sqrt(512) + sqrt(2) - -2*(-1*2*sqrt(512))**2.\nAnswer: 19*sqrt(2) + 4095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163424?\nAnswer: 2, 67607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 83*s - 95*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -119, -187, -249, -299, -331, -339, -317, -259?\n\"Answer: k**3 - 3*k**2 - 66*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957.\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(-2 + sqrt(475))*-3.\nAnswer: -6 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.7. Suppose 5*s - 8 + 18 = -5*y, -4*y - 2*s = 6. What is the nearest to y in -0.4, i, 5\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-26) + (-22456)\/(-52). Suppose i + 3*i - h = 0. Determine w so that 0*w**3 + 81*w + 147 + 3*w**3 + i*w + 45*w**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6 + -7)*(-1 + -11))\/(4 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2818*h + 1 + 4633*h - 1003*h.\nAnswer: 6448*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(252))**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -22*f - 506. What is the remainder when 567 is divided by m(-24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*u - 5)*(-2 + 7 + 10) - 2*u + 4*u + 0*u + (3*u - 2*u + u)*(3 + 0 - 1).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 42\/(-15))*(-450)\/180\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248 - 247.7. Which is the closest to 0.1? (a) -1\/5 (b) u (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -16. Suppose 0 = -2*v + 15*v - j. Suppose -3*w = -v*w, -3*c + 57 = 3*w. What is the remainder when 93 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 171560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riir when four letters picked without replacement from iiririr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 87. Let l = -1.23 - -6.13. Let s = -0.9 + l. Which is the closest to 1\/3? (a) h (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(3))*5.\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35476 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 142, 324, 574, 892, 1278, 1732?\n\"Answer: 34*i**2 + 12*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6*b = -48. Suppose -b = -4*g + 72. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 18*v**2 + 11*v - 138. Determine t(18).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4\/5 + 7894*z**3\/5 - 519384*z**2 - 1373408786*z\/5 - 686054176\/5 = 0.\nAnswer: -272, -1\/2, 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-47*z + 47*z - 5*z**3).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 - 4*r - 8. Determine j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -289, -290, -291, -292, -293?\n\"Answer: -o - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:55 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5401 times -1033?\nAnswer: -557.9233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 12. Let v be -4 + (-3)\/(-3) - q. Suppose 4*i + 61 = r, 3*r = -v*i - i + 144. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201464 (base 7) to base 4\nAnswer: -20112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdw when three letters picked without replacement from dwwtw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/3 - 8\/6. Suppose -r*j - 183 = -715. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + -1.4. Let u = 272\/649 + -14\/59. Let i = 2.6 + -2.6. Which is the closest to i? (a) u (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2303, 4636, 8553, 14078, 21235, 30048, 40541, 52738?\n\"Answer: 4*n**3 + 768*n**2 + n + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221040 is divided by 1399?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d = -48*d + 26*d - 44*d - 6576 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20457673?\nAnswer: 29, 705437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let g = 1.7 - n. What is the second smallest value in 2, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*p - 0*p + 12, 5*c + 5*p - 40 = 0. Solve 8 = c*g - 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3336*-0.4\nAnswer: 0.13344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 9*w**2 - 10*w + 10. Let r be n(8). Let k be -3 - (r + 2 + -4). Is 19 + 8*k\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -804 or -808?\nAnswer: -804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p + 1440. Let t(h) = -h. Give t(l(u)).\nAnswer: 14*u - 1440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6 + 2*h - 6 + 0. Let x(m) = -m. Give b(x(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -511151?\nAnswer: -511161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + i + 3*i = 61, 0 = -3*a + 2*i + 127. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010 (base 6) in base 16?\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 + 25*i**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*h - 54 = 340*h + 6*v, -2*v = 2*h + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1000 + -11?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/39324 and -143\/12?\nAnswer: 39324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3\/3 + 45*t - 5. Let h be q(0). Suppose 90 = 64*u - 59*u. Calculate the greatest common factor of h and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 292991*z\/4 - 73248.\nAnswer: (z - 1)*(z + 292992)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96410.74 millennia to months.\nAnswer: 1156928880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -7)*24\/(-5). Let b = w + 40. Suppose -3*y - 2*d - 155 = -267, 0 = 4*d + 16. What is the highest common factor of b and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b + 58*b = 558. What is the remainder when b is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45c3c (base 14) to base 11.\nAnswer: -106625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123266, 246493, 369718, 492941, 616162, 739381?\nAnswer: 862598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 9. Let c = 8 - j. Suppose c*p - 17 = -5*x + 97, 5*x = -3*p + 88. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 7. Suppose 3*l - 46 = 5*t, 3*t - 13*l + 42 = -16*l. Let z(y) = 5*y - 21. Calculate t*o(c) + 4*z(c).\nAnswer: -2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56638, 113171, 169696, 226207, 282698?\n\"Answer: -k**3 + 2*k**2 + 56534*k + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 4 + 7\/(35\/(-34)). Sort 2, a, 18 in descending order.\nAnswer: 18, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 80 = -3*m. Suppose -184 + 679 = -15*t. Let q = m - t. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6435 a factor of 435044610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 629000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s**3 - 2*s**2 + s. Calculate t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11447005 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024935414 rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 790633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293352 is divided by 1431?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1123572896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j + 30, -867 = -4*c + 3*j. What are the prime factors of c?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-576\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 327869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweewwewwwwwwww. What is prob of sequence wwe?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 13 = 51 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5128*u. Let b(f) = 1061*f - 3. Give b(z(g)).\nAnswer: 5440808*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -91*k + 3149. What is the remainder when n(-93) is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxfx when four letters picked without replacement from {f: 6, x: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d + 36*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 892.26.\nAnswer: 888.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1076*m - 15124 - 24688 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a62d + -3d?\nAnswer: -a66c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**2 - 7*d + d**2 - 9*d**2 - 20 - 2*d**3 + 2*d**2 as l + s*d**2 + n*d**3 + w*d and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-16)\/o**16)\/((o*o\/o**(8\/15))\/(o\/(o**2*o))))**2 assuming o is positive.\nAnswer: o**(-1064\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27170, -108943, -245230, -436031, -681346, -981175, -1335518?\nAnswer: -1744375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200410 (base 8) in base 7?\nAnswer: -24245661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 817733.32 less than -108.4?\nAnswer: -817841.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53382 - -8?\nAnswer: 5338a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14474 - -14559. Solve 79*y - c = 62*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4248 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10*4*-5. Factor -100*g**3 + 96*g**3 + g**5 - 5*g**j + 8*g**2 + 3*g**4.\nAnswer: g**2*(g - 2)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = 4*l - 13, -9 = -3*l. Let j(m) = 3*m + 26. What is the remainder when -3 + 105 + -1 - h is divided by j(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 - r**3 + 100739*r**2 + 147*r - 43867.\nAnswer: -12*r**2 - 6*r + 201478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/17682004 and -49\/1517.\nAnswer: 724962164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 6*b + 4. Let k be w(-7). Let o = k - -87. Solve f - 3*s + 5 = -12, -3*f = -5*s + o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/38815 and -91\/555.\nAnswer: 4308465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10)*6\/12. Let u = 12 - 16. What is the smallest value in 1, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*k - 27, 5*v - 34 + 57 = k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 55.75\nAnswer: -59.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 438039791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-178)\/8)\/((-1)\/(-4)). Let n = 800\/9 + x. Let m = -2 - -2.5. Which is the third smallest value? (a) 0.2 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/3 + 3*x**4 - 4*x**3\/3 - 12*x**2 = 0 for x.\nAnswer: -9, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(42\/6))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/28 + (-180)\/144.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 9:12 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**2 - 487 + 339 + 231.\nAnswer: -24*c**2 + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103\/5 - 21. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154415247338.214647 + -154415377801. Let d = 130463 + n. Let x = d - 0.215. Round x to five dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103*p - 1357*p - 1431*p - 721 + 218 - 429*p wrt p?\nAnswer: -3114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(175) + sqrt(175) + 3) - (-1 + sqrt(175) + 3)).\nAnswer: -55*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103826937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/19, 6, 0.01, 20?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 10 in ascending order.\nAnswer: -12, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -6. Suppose 32*a - 5*y - 189 = 28*a, -4*a + 3*y = -179. Suppose p = -3*h + a. Solve -6*b + h*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31372 and 9982?\nAnswer: 219604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63\/36*2\/7. Let n(c) be the first derivative of 2*c + 2*c**3 - 3*c**2 + 2 - v*c**4. Factor n(o).\nAnswer: -2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, -4, -30, -54, -70, -72, -54, -10?\n\"Answer: b**3 - 8*b**2 - 5*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -25, -2, 5, 4 in descending order.\nAnswer: 5, 4, 1, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - 7 - (-398 + 397)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30211 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176750 is divided by 331.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 553014307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1*(-55)\/(-10). Suppose q + 5*r - 98 = 0, -4*q - i*r + 449 = -10*r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -5 - 35) + 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 52. Let c(v) be the first derivative of -v**a + 2*v**2 - 538 + 564. Let g(y) = -6*y**2. Calculate g(c(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 36 - 11 + 6*q**2 - 22 - 3*q**2 + q**2. Let s(d) = -3*d**2 - 1 + 5*d**2 - 3*d**2. Give 2*b(k) + 9*s(k).\nAnswer: -k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*2)\/(-12*(-3)\/(-18))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1639302.773 and 0.08?\nAnswer: 1639302.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 + 3. Solve -3*j + 5*j + 4*z = p, 2*j - 2 = 2*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -1\/14, 2\/5, -1\/11, 1.7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48051006 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 1479 = 4*c. Find the third derivative of 28*b**5 - 88*b**3 + 58*b**2 - 4*b**5 + c*b**3 wrt b.\nAnswer: 1440*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1100) - (sqrt(1100) + 1))*2)**2 + 4 + (sqrt(704)*2 + -5)**2.\nAnswer: -160*sqrt(11) + 2894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759\/1012*22*(-2)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f**2 - 29*f - 9. Let o(w) = -5*w**2 + 12*w + 4. Let k(c) = -5*o(c) - 2*z(c). What is k(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 23 = -4*u. Suppose h = -4*h. Let v be (1 + -1 - h) + 2. Calculate the greatest common divisor of u and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2. Let x be 6\/(-2) - 125\/(-5). Let y(f) = -15*f - 17*f + x*f. Give b(y(o)).\nAnswer: 500*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 286274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 473 * -2.\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 - 3*f**3 - 12*f**2 + 12*f = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*y + 399, -948*t + 945*t - 9 = 0. Sort -2, -0.02, y in increasing order.\nAnswer: -2, -0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -4*y - 40, -y - 5 = 0. Suppose t*r - 3*r + 12 = 0. What are the prime factors of (-9)\/2*16\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1478 - 44219\/30. Calculate the common denominator of r and -139\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 16*p + 225. Give y(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 128442, 255883, 383322, 510759, 638194, 765627, 893058?\n\"Answer: -q**2 + 127444*q + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 - 5*q**5 + 5*q**5 + (-2*q**2 - 2*q + 2*q)*(0*q**2 + q**2 + 0*q**2)*(80*q + 22*q - 4*q).\nAnswer: -200*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58 or -10253\/181?\nAnswer: -10253\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 39, 37, 25, -3, -53, -131?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (13\/2 - 2)\/(90\/11400)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7*2*7. What is the biggest value in k, -6, -17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqxx when four letters picked without replacement from txoxxeqox?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2530 + 3532245?\nAnswer: 3535215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 264659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2995?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334*n**3 - 3*n**2 + 69*n**2 + 4021 + 1451*n**3 - 3998 wrt n.\nAnswer: 6702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 2 - 2 + 14*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 570 - 274. List the prime factors of a\/8 - 0\/1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964616053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - g - g)*((2 - 2 - 1)*(5*g - g - 3*g) - 3*g - 4*g + 4*g + 2*g - g - 4*g).\nAnswer: 14*g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) 0.2 (c) 1\/7 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97126161.\nAnswer: 3, 11, 2943217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.84, 2\/353, 3\/751 in descending order.\nAnswer: 0.84, 2\/353, 3\/751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -3*n. Let i be -3 + (3 - n - -9). Put 3, -3, i in descending order.\nAnswer: i, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 87. Give o(47).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 + 5*w - 18. Let v = -20 - -26. Let h(c) = 1. What is v*h(x) - b(x)?\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c. Suppose c*o = 2*o - 136. Suppose -2*w + a + 42 = 0, -4*a = 4*w - 2*a - o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 8*i**2 + 5*i - 2. Determine s(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioqoooiqdq. What is prob of sequence iq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 23*k**6\/6 - 4*k**5\/5 + k**3\/3 + 1430*k - 680. What is the third derivative of n(j) wrt j?\nAnswer: 1380*j**2 - 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 899485.1600107 - 899479.16. Let t = b - 6. What is t rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = 4*q - 5*i, 28 = 4*q + 4*i. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 18 + (-2 + 5 - (2 - 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.90368126 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*p**2*q**2 + 129933*p**2 - 18*p*q**2 + 3*p*q - 2*p + 9*q wrt p.\nAnswer: -112*q**2 + 259866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320211 + 2?\nAnswer: -320203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5896, 5906, 5928, 5968, 6032, 6126, 6256, 6428?\nAnswer: 6648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 12) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 170 = 17*q. Suppose 2133 = q*u - 1442. Does 82 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1717*t**3 - 30*t**2 + 5*t. Let d(k) = 2575*k**3 - 42*k**2 + 7*k. Give -5*d(s) + 7*x(s).\nAnswer: -856*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 10*n + 6 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + (8 - (-5 - -25)) + 8 + 9 + 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5}. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**8))\/((h\/(h\/(((h*(h\/h**1*h)\/h)\/h*h)\/h*h))*h)\/h))**(-2\/181)\/(((h\/(h\/((h*h*h**(1\/4))\/h)))\/h*h)**25\/(h*h**(-2\/7)\/h)**42) assuming h is positive.\nAnswer: h**(-31241\/724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 14*a - 12.\nAnswer: -2*(a + 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/2 and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qquqddqdquqd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 50. What is the second smallest value in f, 0, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 4*l = -2*f - 16, -5*f = l - 20. Suppose 44 = f*h + 7*h. Solve -j = 4*d, j - 20 = 5*j - h*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (-13520)\/(-320))\/((-3)\/(-12)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2. Let g(j) = 70*j - 9. Let z(d) = -10921*d + 1407. Let q(u) = 938*g(u) + 6*z(u). Calculate q(h(m)).\nAnswer: -134*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 5*t**2 - 8*t + 8. Suppose -2*r - 10 + 6 = 0. Let q be (-36)\/r + (-2)\/1. Let b = 22 - q. Give z(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.3. Let g(a) = a**2 - 5*a - 1. Let u be g(5). Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**3*h - 366*c**3*r + 37*c*h*r - 3*h*r wrt h?\nAnswer: -3*c**3 + 37*c*r - 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/6*41256\/34380?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.56544617 rounded to 0 dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2)*(-2 - 13). Let r = l - 5. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13379 is divided by 2229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 239 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21780 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57253625.\nAnswer: 5, 11, 13, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0. Let n = -2.3 + z. Let x = n + 2.419. What is x rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*-1*sqrt(117) + sqrt(117)))\/((-2*sqrt(72))\/sqrt(8)*-6).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7868 bigger than -85286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/2520 + k**6\/80 - k**5\/15 - 7*k**4\/24 + 7*k**2. Let g(u) be the second derivative of n(u). Determine g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0, 72, -9 in increasing order.\nAnswer: -9, -2\/7, 0, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 14\/(2 - 4). Suppose -5*z - 1 = 2*a, 5*a = 4*z + 9 + n. What is the first derivative of 0*i**2 - 2*i**2 + a + i**2 + 3*i**2 wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**9\/4536 + k**8\/1260 + k**7\/1260 - k**3\/6 + k. Let m(a) be the second derivative of s(a). Factor m(l).\nAnswer: 2*l**3*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925177029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.467 + 114.933. Let d = 126 - u. Let b = -6.6 + d. What is the smallest value in 3, -5, b, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 - -123327?\nAnswer: 123264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16689 less than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277 - -2180. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 459*o**2 + 466*o**2 + 4 - 891*o**2 to the form h*o**2 + i + t*o and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -107833584 divided by -3\nAnswer: 35944528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171\/1329452 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04079 times -0.2?\nAnswer: -0.008158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 8) in base 11?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3201, -3867, -4989, -6573, -8625, -11151, -14157?\nAnswer: -17649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1073*u + 2538. Let l(o) = -4292*o + 10155. Let p(s) = -26*j(s) + 6*l(s). Find the first derivative of p(i) wrt i.\nAnswer: 2146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Let r(y) = y + 3. Let x be r(-5). Let l be (4\/3 + 0)\/x. Which is the nearest to z? (a) 1\/4 (b) 3\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.1525475.\nAnswer: -0.061019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 329*h**2 - 4*h + 133 wrt h?\nAnswer: 658*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - ((-190)\/8)\/(-5) and 99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -85. Solve -6 = 4*j + c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**2 - 2*m - 1. Let v(o) = -o - 1. Let z be v(-3). Let x be -1*-1*(-8)\/(-2). Suppose 5*s + n + 0*n + x = 0, 0 = -z*s - n - 1. Give f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3869 and 42771.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-11)*6\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 2 = 7*m. Suppose m*i - w = 11, 4*i - 3*w - 21 = -0*i. Suppose i*a + 344 = 14*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45.11517t?\nAnswer: 45115170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 36. Let t be (28\/10)\/(3\/p). Let r be (-102)\/t - (-6)\/(-21). Is r < 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 42*l + 66 = 21*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 9. Let m(u) = 2*u**2 + u - 1. List the prime factors of m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.2. Let f = -5 + 4.9. Let x = 0 + f. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 121, 125, 131, 139, 149, 161, 175?\n\"Answer: c**2 + c + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1012142020?\nAnswer: 1012142022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 99*a + 1502809 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20742 in -4, 1416, 3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442.5767 weeks to seconds.\nAnswer: 267670388.16","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 + 38*j. Let h(v) = -v**3 + v**2 + v. Let n(c) = 3*h(c) + r(c). What is the second derivative of n(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199817 + -3973760678\/19887. Let i be (-788252)\/(-30304)*132\/(-315). Let c = i + j. What is the common denominator of c and -111\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3 - 525\/(-174)). Suppose -2*c = -2*u + t, 4*u - 3*c = -5*c + 86. Solve 5*v = 2*p - u, -4*v + 3*p + p - 24 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(250))\/(sqrt(90)\/sqrt(2)).\nAnswer: -5*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 10. What is k(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -81.63006?\nAnswer: 24.489018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170742 is divided by 296?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.6722 centuries in millennia?\nAnswer: 81.96722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -986726 = -12*o - 2*n, 8*n - 10*n = -3*o + 246664. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (124\/(-6))\/(-7 - (-1672)\/240)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = 0, 2*p + 42 = -9*z + 6*z. Suppose -4*h + 7*h = -3*h. Which is the closest to 2\/3? (a) p (b) 5 (c) -6 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10522? (a) -0.3 (b) -245\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -2*l + 5*l + 17, 0 = 5*l - 5*x + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*z - 272975 = -271680 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((22\/6)\/(-11))\/((-8)\/312). Let d(w) be the first derivative of -7\/3*w**3 + 0*w**2 + k + 0*w. Let p(t) = -t**2. Give d(p(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/10 + 2*t**2. Let j(q) = 524*q**2 - 837*q**2 + 275*q**2. What is x(j(w))?\nAnswer: -8664*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0 - 1. Let y(s) = s**2 - 4*s - 8. Let l be y(6). Let p be -1 + 1 - l*-1. Solve -9 + r = p*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10742 and 7954?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -20. Let o = y - -15. Suppose 3*t - v + 0*v = 493, o = -2*t + v + 330. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 - 8*q**2 - 12*q + 20. Let g(r) = -r**3 + 3*r**2 + 4*r - 7. Let l(a) = 8*g(a) + 3*p(a). Let d = 7 + -4. What is the tens digit of l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -299, -680, -1215, -1904, -2747, -3744?\nAnswer: -4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 8:36 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9034.468 decades to millennia.\nAnswer: 90.34468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48296, 48319, 48360, 48419?\n\"Answer: 9*b**2 - 4*b + 48291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9453 - -0.0547. Put 2\/15, i, 2\/51 in decreasing order.\nAnswer: i, 2\/15, 2\/51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -90 (b) 4 (c) -3 (d) 13\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-5)\/(-2))*-6. Suppose -5*t + 105 = 5*u, -t + u + 20 = j*u. What is the lowest common multiple of 14 and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150936 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -979, -999, -1019, -1039, -1059, -1079?\n\"Answer: -20*t - 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.5, -1\/4, -51\/5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 484*r - 2870. Give w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1746 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1164 divided by 291\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 14*u + 10. Determine j(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 7, 122, -8 in increasing order.\nAnswer: -8, 7, 9, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -85. Let m = -4 + 4. Is w at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3)*(-2*p**4 - 2*p + 2*p) + 3*p**4 + 0*p**4 - 4*p**4.\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*o - 0*o + 1079, 4*c - 4288 = o. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86830, -86823, -86816, -86809, -86802, -86795?\nAnswer: -86788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {y: 1, n: 1, q: 1, p: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/4 + 2*j**3\/3 - 3*j**2\/2 + j. Let z = -23219 - -23215. Let o(u) = -4*u**2 - 5*u + 4. What is z*o(p) - 5*f(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*r - 6, w = r + 2*r. Suppose 5 = 7*n - w. Suppose -3*a = n*y - 27 - 4, 5*y - 67 = -4*a. Calculate the greatest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Suppose m*i - 4*r = i + 2, 5*r + 4 = i. Let v(l) = 3*l**3 - 5*l**2 - 1. Let o(w) = 4*w**3 - 6*w**2 - 1. Determine i*v(t) + 5*o(t).\nAnswer: 2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31535 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 5*q)*(3*q - 1 + 1) + 42*q**2 - 132*q**2 - 74*q**2.\nAnswer: -170*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371841, 371742, 371643, 371544, 371445?\nAnswer: 371346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*j**2 + 1 - 1 + 2*j**2 + 1 + (3 - 1 - 3)*(-j**2 + 5*j - 5*j) + j - j + j**2 - j**2 + 3*j**2 + 0*j**2 + (-5*j + 2*j + 4*j)*(j + 0*j + 0*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 200, -161, -100, 0.\nAnswer: -161, -100, -8, 0, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.55433 + -4.5543522117. What is r rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.53, 0, -2\/45?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 - 3*h - 8. Let w be y(6). Suppose -w = -4*v + 126. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(32\/(-12))*4. Let x(o) = -2 + o + l + 4*o + 2. Is x(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.018 (b) 6.3 (c) 2\/19 (d) 1\/3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/18 and 65\/1616?\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + 2*sqrt(156)*1 + sqrt(156))\/(sqrt(12) + sqrt(432)*-4 + sqrt(12)) + 5*(sqrt(104)\/sqrt(2) + 2 - (sqrt(52)*-2 + -4))**2.\nAnswer: 3958*sqrt(13)\/11 + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Let u = 22 - b. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/77)\/(2\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8949, 8638, 8339, 8058, 7801?\nAnswer: 7574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/13, -0.0072, -1\/4, 0.1.\nAnswer: -1\/4, -0.0072, 0.1, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 108054 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-73)\/(-58254)*-72\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 + -12)\/(2\/(-2)). Let y be -1 + 1\/((-5)\/(-30)). Solve -y*w - 4*h + 14 = -k, 3*w + 4*h = 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17653 is divided by 7217.\nAnswer: 3219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 185*n**3 + 2*n**2 - 3*n - 3. Let f(z) = 558*z**3 + 5*z**2 - 8*z - 8. What is -3*f(u) + 8*h(u)?\nAnswer: -194*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3*22\/(-3762)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -1150.0981\nAnswer: -138.011772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3 - 18. Let p(s) = -s**2 + 6*s - 2. Let l be p(m). Suppose 3*v = -0*w - l*w + 27, 0 = -v + 4*w + 34. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 176*h**3 + 2641*h + 2640. Determine t(-1).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(297)\/sqrt(11) - (sqrt(147) + 0)) - ((2 + sqrt(300)*-1)*4)**2).\nAnswer: -4867 + 636*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + (sqrt(1700) + -3 + sqrt(1700)*3)**2 + 4 + sqrt(612) + -2.\nAnswer: -224*sqrt(17) + 27211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 11178*w**2 - 256563*w + 50. What is d(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33300332 (base 4) in base 10?\nAnswer: 64574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 1, g: 1, x: 1}. What is prob of sequence gt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13069 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*v**3 - v - 9 + 8 + 10 - 53*v**3 - 79*v**3 to d + z*v**3 + m*v**2 + s*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-63))\/(75\/(-1125)) + 0?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 200*j - 108*j - 5*j**2 + 33*j**3 - 91*j - 3*j**3.\nAnswer: 30*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -8. Let x = u - 7. Solve c + 13 = 3*b, 2*b + x*c = 11 + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.58 + -0.08. Let w = -783 + 782.7. Which is the nearest to -0.1? (a) w (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/189*7)\/((-1)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*a + 69*a = -61*a - 27027 for a.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnfjzfjn. What is prob of picking 1 t and 2 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 25447572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 5*u + 153. Calculate the highest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-170)\/12*495\/(-275). Let u be 2\/7 - (-117)\/7. What is the greatest common factor of b and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 216*s = -213*s + 32, -5*s - 25 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*z = -k - 14, 17*k + 0*k - 12*k - 269 = -4*z for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = 0, 4*y + 7 - 12 = -g. Solve -7*v + y*v = -a - 11, a - 19 = -5*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -18. What are the prime factors of 0 - -3 - (0 - s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 35 (b) -2 (c) -0.113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2304, 2304, 2306, 2310, 2316, 2324?\n\"Answer: f**2 - 3*f + 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + 0.3. Let j be (2 - 4)*(66\/154)\/((-24)\/(-21)). Let y be 3\/5*1 - 1. Which is the second biggest value? (a) j (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.162 minus 181?\nAnswer: -181.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85.7 - -128.8. What is d rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36498 and 1106?\nAnswer: 36498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - 17. Which is smaller: y or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let g = -24 - -26. Let u(x) = 38*x**g + 1 + 34*x**2 - 96*x**2. Give u(c(f)).\nAnswer: -24*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-1 - -3) + 21. Suppose -c = -o - x - 5, -129 = 5*o + 4*c. Round o to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Suppose -g*o - 34 = -z, 56 = -2*z + 4*z - 4*o. Suppose -1 = 4*a - 61. What is the remainder when z is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. What is the biggest value in -0.5, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.683 + 8.683. Let c = -4.2 - -4. What is the closest to -1 in c, g, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1045, -9407, -32003, -75949, -148361, -256355, -407047?\n\"Answer: -1186*w**3 - w**2 - 57*w + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:22 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 20*k**2 - 17*k - 36. Let h be m(19). Find the third derivative of -25*x**h - 63*x**3 + 8*x**3 - 9*x**2 + x**3 wrt x.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujvu when four letters picked without replacement from buubmujvunbb.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.394413392 + -2.3945. Round g to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.846868 and 0.0914.\nAnswer: 20.938268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h + 69. Let j be i(-8). Let a be ((-2)\/(-3))\/(j + 172\/60). Let w(m) = -11*m - 50. What is the units digit of w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.83482 millennia in decades?\nAnswer: 9183.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 245 - 3*f**3 - 81 + 147 - 4*f**4 - 3*f + 5*f**3 + 2*f**4 in the form m*f + u*f**4 + n*f**3 + x + s*f**2 and give x.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -2\/13 (c) 8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 5 + 4*r - 5*r)*(1 + 1 - 4) + (-1 - 2 + 0)*(-4*r + 16*r - 8*r).\nAnswer: -10*r + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 0.8. Let o = -163581 + 7688306\/47. Are o and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 12*s - 25. Let g(c) = -29*c. Let w be g(-4). Suppose -4*z = v + 31 - w, -3*z - 5*v + 85 = 0. What are the prime factors of d(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13328\/33345 + 2\/6669. Which is the smallest value? (a) -27 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 34. Let x(t) = 8*t + 40. Let j(v) = 7*i(v) + 6*x(v). Suppose 14 + 2 = 2*n. What is j(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -8.6. Let y = -0.41 + 0.17. Let w = -0.14 - y. Which is the third biggest value? (a) -1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9068197661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/4332 and 5\/1368.\nAnswer: 25992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.229 + 28.229. Let g = -6421 + 6392.994. Let p = u + g. What is p 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 third derivative of -5633363*a**3 - 17644*a**2 - 129 wrt a?\nAnswer: -33800178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 1136 = 8*t. Suppose 5*r = 2*q + t + 779, -3*r = -q - 1148. What is the remainder when r is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 - 851*d**3\/2 - 211875*d**2 - 42112162*d - 2955053056.\nAnswer: -(d + 226)**3*(d + 1024)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 2:55 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 193.6. What is the closest to w in 4, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3933)\/95)\/(15\/50))\/((-3)\/3*-2)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12663 at least -12667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13783457?\nAnswer: 13783457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47344?\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-23 + 59)) + -43 + 48 + -16 + -1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402885*z**3 + 2*z + 402891*z**3 - 2*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 27024.\nAnswer: -11, -4, 27024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2963.7 - 2978. Which is the third biggest value? (a) p (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -4\nAnswer: 195\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1525*v - 697*v**2 + 0 - 9 - 428*v**2 + 9 wrt v.\nAnswer: -2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 4:37 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4 - 261*l - 208*l + 467*l + 4. Let w(y) = -y - 1. Let n(d) = d**2 + 12*d + 6. Let u(s) = -n(s) - 6*w(s). What is u(i(q))?\nAnswer: -4*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*3 + (sqrt(200)\/sqrt(4) - sqrt(50)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15*q**2 - 2*q + 1. Let h be (-2 - -3) + -4 - -3. Suppose h = 2*w + w + 3*s - 15, 0 = 2*w + s - 6. What is the tens digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 13*n + 4*z = -9837, -2*z + 5911 = 3*n. Solve 1961*o = n*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*u + 49*u - 12. Suppose -5*j + u*l = -5275, 0 = 10*j - 9*j - l - 1054. What are the prime factors of j?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2050513 + -1?\nAnswer: 2050512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) -15 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8573 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4292 + -4369 - (0 - 56).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 20*f**3 - 180595*f**2 - 4391565*f + 3395250 = 0.\nAnswer: -25, 3\/4, 9054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 467 - 462.39. Let n = -97606334 - -97606329.3899411. Let u = n + t. What is u rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 1, z: 2, i: 1, c: 4}. What is prob of sequence sw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 15*r = -4*r. Suppose r = 4*x - s - 2204, 5*x - 2*s = 2*s + 2755. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*v = -110*v + 637740000. What is v rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.28 (b) -4\/33 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (5 - (0\/(-4) + 4)). Is 1*(2 - q - -1894) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344a (base 12) in base 11?\nAnswer: -32591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*c - 61*c - 84 = 0. Sort c, 182, -4 in descending order.\nAnswer: 182, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 3.24. Let j = -12473 - -12469. Which is the second biggest value? (a) w (b) j (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(13\/4)\/(c\/c**(-24)) assuming c is positive.\nAnswer: c**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 2, r: 5, q: 2}. What is prob of sequence qeq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 2:37 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44181 + 44449 - 73287 = -1149*u + 78649 for u.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 5. Let q = x - -14. What is the derivative of 0*a - 3 - 2*a + q*a + 2*a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p + p**2 + (4 - 4 - 3*p)*(-5*p + 5*p + p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4634 + 13.5076. Let g = i + -15.9. Round g to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 = 5*o - 3, -2*a - 2 = -2*o. Suppose -4*s + o*g + 0 = -28, 18 = 3*s - 3*g. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*v - 233*v - 552*v)*(-6*v + 5*v**2 + 6*v).\nAnswer: -4395*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*p**4 - 3198398*p + 175023138 wrt p.\nAnswer: -68*p**3 - 3198398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*a + 4718 = 179*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-33)*(-10)\/(300\/(-110)). What is the nearest to d in -0.3, 4\/3, -33?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -238, -682, -1360, -2302?\nAnswer: -3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2*k + 1. Let o be a(1). Let n(m) = -m**2 + 7*m + 5. Let c be n(6). Let l be (-20)\/(-11) - (-2)\/c. Solve 0 = f + l - o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Suppose 17 = 2*n - n + 5*v, -2*n - u*v = -19. Let l = 8 - n. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1024466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.02589 micrometers to nanometers.\nAnswer: 2025.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) -1\/57 (b) 6 (c) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457380251*i - 1457380252*i + 2914760503*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*m*q**2 + 2*d**2*q**2 - 2992*d**2*q + 11*d*q**2 + m*q**2 - 7*m*q wrt q.\nAnswer: 4*d**2*m + 4*d**2 + 22*d + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198 - -257. Calculate the remainder when j is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2675 + 5353\/2. Sort 83, 3, -0.12, t in ascending order.\nAnswer: -0.12, t, 3, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 + o**3 - 2*o - 47 - 2*o**5 + (-2*o**2 + o**3 + 2*o**2)*(278*o**2 + 3*o**2 - 40*o**2 - 1).\nAnswer: 239*o**5 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2125920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53, 0, 53, 106, 159, 212?\n\"Answer: 53*u - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*60)\/6)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -93*c**2 - 1. Let u be v(1). Let h be u\/(-8) - 8\/(-32). Let k be (-1050)\/((-1)\/((-40)\/h)). Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -11120211?\nAnswer: -11121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27782 and 3646148.\nAnswer: 105738292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15524 is divided by 15490.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 1. Let c be s(0). Suppose -2*f = -2*z - 7 - c, -8 = 5*f + 2*z. Suppose 0 = k - f*k. Is k at most 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -31*r - 15*o + 13*o, 0 = 4*r + 2*o - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {j: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 131039 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**10)\/q)**(-23)\/(q\/(q\/(q\/q**(-2\/7)))*q\/q**(5\/6)))**43 assuming q is positive.\nAnswer: q**(412757\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 23 = 287*l - 288*l, 5 - 1 = 2*l - 0*l + l + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 12*b**2 + 8*b.\nAnswer: 4*b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let v(c) be the second derivative of -c**4\/12 - c - 14. Let x(l) = -4*l**2. Determine m*x(u) + v(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 97 and -0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/18*(-309)\/412.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37064749 from 525820.\nAnswer: -36538929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 8*r**2 - 4*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 23 (c) -0.5 (d) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*q - 4920 - 15095 + 129*q + 5941 - 16*q**2.\nAnswer: -16*q**2 - 14074","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2) - 3 - -6. Let k = 5 - 11. Let n = k - -3. Which is the smallest value? (a) 7 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 353911 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, w: 3}. Give prob of sequence oo.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10013 + 9967. Sort 3, v, -4, 4, -5 in decreasing order.\nAnswer: 4, 3, -4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g + 2*g - 3 + 3*g - 11. What is i(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 7:28 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 487 - 323. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31144773\/9490 + 42684\/13. Let h = v + 1\/2190. What is the common denominator of (-2)\/1 + (-3 - (-715)\/90) and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 - -523. What is the remainder when q is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**2 - 2*i + 2. Let r be v(1). Let f be 12\/r - 2316\/198. Which is the third biggest value? (a) f (b) -3\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 52 - o + 52)*(o**2 + 0*o + 0*o) to the form h*o**3 + l + n*o**2 + t*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.107? (a) -2 (b) 4 (c) 2\/39 (d) -0.05 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 11*j + j)*(-3*j**4 + 3*j**4 - 4*j**4) + (-j - 2*j + 0*j)*(-j**4 + 4*j**4 - 2*j**4).\nAnswer: 69*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -6*u. Suppose 9 = -u*w - w. Let s = w + 84. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from ueuuoppouuueppuppup?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3) + 5 + sqrt(15)\/sqrt(5) + sqrt(3)) + (sqrt(450)\/sqrt(6) + ((sqrt(81)\/sqrt(3))\/sqrt(9) - sqrt(3)))**2)*-4.\nAnswer: -280 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 + 2*m**2 + 798*m + 3229. Give d(-4).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1627.4 and -68663200.\nAnswer: -68664827.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 6*u**2 - u**4 + 8\/3*u**3 + 8 + 0*u. Factor i(y).\nAnswer: -4*y*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -1\/134 (b) 1 (c) 0.057 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 88 = 4*m, -2*m = -0*m + 5*c - 56. Suppose r = m - 15. Solve -6 = r*b, -b = -2*u + 2*b + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1735\/11 - -160. Suppose 0 = 3*p + 2*p + 330. What is the common denominator of w and 290\/p + 4\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44344 divided by -2?\nAnswer: -22172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/70)\/(8\/(-21)))\/(693\/15708).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*b + 2 = 0, 3*b + 0 = -2*p - 1. Let o(t) = 2*t**2 + 3*t + 2. Let x be o(p). Solve 0 = 2*h - n + 3, h = x*h - 5*n - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99a (base 16) to base 11.\nAnswer: -1935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**7\/42 - 197*k**6\/15 - 229*k**4\/2 + 1462*k. What is the third derivative of r(p) wrt p?\nAnswer: -60*p**2 - 9456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17026999?\nAnswer: 11, 109, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 112, 0.1, -4\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {s: 3, c: 1, w: 1, t: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 577*w + 7. Let d(x) = -547*x - 8. Determine -4*d(y) - 5*k(y).\nAnswer: -697*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 758*v**3 - 53*v + 2 wrt v.\nAnswer: 4548*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a factor of 3008891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 312*v. Let m(o) = -9*o**2 + 5. Determine m(z(w)).\nAnswer: -876096*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6416 and -55\/112.\nAnswer: 44912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2 = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -7. Suppose 0 = -3*a, 0 = -f + 4*f + 5*a + n. Is f > -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/56 + 2\/7)*682\/31?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 12:38 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/3783747 and 32\/802613.\nAnswer: 26486229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4 + -4*(3 + sqrt(612)))*-2 + -1)**2 + 0.\nAnswer: -200645 - 14880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, -89, -394, -1003, -2018, -3541, -5674?\n\"Answer: -17*c**3 + c**2 + 13*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v + 3*v)*(-176*v**3 + 1244*v**3 + 1480*v**3).\nAnswer: 5096*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 514865 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 - -78. Let f(c) = c**3 + c**2. Let j(d) = 8*d**3 + 12*d**2. Let g(q) = z*j(q) + 6*f(q). Factor g(w).\nAnswer: -2*w**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12 - 12 + o**2. Suppose -j + 3 = i - 4, 3*j = 15. Let b(d) = -5*d**2 + d**i + 0*d**2. Determine b(y(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 35\/6, -0.074?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -63. Suppose -28*j = -q*j - 10. Suppose d + 1 = j*d. Solve c - o + d = o, 3*c = -2*o + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 24 = 4*z, -2*g + g = -5*z + 21. Suppose -4*j + y - 3*y + 106 = 0, -g*y - 4 = -j. Suppose -j = -2*q + q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3\/4*k**2 - 1\/4*k**4 + 1\/4*k - 1\/2 - 1\/4*k**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*p - 3*p = 3, 0 = 3*r - 4*p + 5. Suppose -4*f + 3*l = -167, 2*l + r + 125 = 3*f. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 742712962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221021 (base 3) to base 4.\nAnswer: -22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111554, -223110, -334666, -446222, -557778, -669334?\nAnswer: -780890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1117189.\nAnswer: -111718.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/943, 2, 3\/5?\nAnswer: 2\/943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856688, 856691, 856692, 856691?\nAnswer: 856688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3016 - 3016. Let g(i) be the second derivative of 5\/12*i**4 - 1\/6*i**3 + 1\/20*i**5 + 20*i + q - 7\/2*i**2. Determine g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7 = v, t = -14*v + 18*v + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 853058111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 870255, 870346, 870429, 870498, 870547, 870570?\n\"Answer: -g**3 + 2*g**2 + 92*g + 870162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 21798 + 11006 + 10812 + 4*a - 7*a.\nAnswer: -a + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*w - 213 = -5*w, 0 = -2*r - 2*w + 114. Calculate the greatest common divisor of 52 and r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -2039, 1\/4 in descending order.\nAnswer: 4\/7, 1\/4, -2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001054292 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 27 + 3. What is the remainder when 1\/(-2)*46*-1 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 3*j**2 + 2*j**2. Let u(z) = -3*z**2. Give l(u(p)).\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)\/sqrt(2))\/(sqrt(12) + (sqrt(108) + sqrt(108) + sqrt(108)*1 + sqrt(108))\/sqrt(9)).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5365 + 212*l + 191*l - 402*l to w*l + d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 g when three letters picked without replacement from {f: 3, g: 3, j: 4, m: 3, e: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280826 - 561622 + 280796 - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -11. Suppose 0 = 3*l - 7*l - 2*g + 2, -5 = -5*g. Let l*s**4 - 4*s**3 - 2*s**4 + h*s**3 = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779890220?\nAnswer: 2, 5, 5171, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 - 2660\/(-49). Suppose -5*b - 3*f = -2*b - q, 2*f - 99 = -5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2441 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - m**2 - 1)*(4 + 1 - 3)*(0 + 9 + 32)*(3 + 0 - 2) as j*m**2 + q + c*m and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, -1161.\nAnswer: -1161, -14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1210\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(4 - 1)*-3. Solve -7 = -k*t + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 115*i = -3*y - 39*i - 43*i + 174, 3*y - 186 = -i for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73548129, -147096257, -220644385, -294192513, -367740641?\nAnswer: -441288769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014\/(-12)*(-72)\/(-234).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*330012.3.\nAnswer: -561020.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*t + 2175 = -919*t for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**3\/7 - 60*k**2\/7 - 108*k\/7 = 0. What is k?\nAnswer: -3\/2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 81*y\/5 + 30.\nAnswer: 3*(y + 2)*(y + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.39 and -1022?\nAnswer: 12662.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6058 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 0.31 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135727746 is divided by 135727741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661990131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -5 + -2)**2.\nAnswer: -98*sqrt(11) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 10*m + 3*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(288)*1)*4.\nAnswer: 4 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 4. Calculate the smallest common multiple of 22 and o(-4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201067, 1201082, 1201105, 1201136, 1201175, 1201222, 1201277?\nAnswer: 1201340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 0*u**2 - u**2 + 0 - 1 - u**3. Let p(s) be the second derivative of -s**5\/10 - s**4\/4 - s**3\/6 - 5*s**2\/2 - 2*s. What is -p(o) + 3*w(o)?\nAnswer: -o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**7\/210 - d**6\/360 - d**5\/12 + 19*d**4\/12 - 3*d - 2. Let s(u) be the third derivative of q(u). Factor s(b).\nAnswer: 2*(b - 1)*(6*b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 - 335\/134 - 22.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbb. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than -46\/877701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 55. Suppose 3 - 45 = -3*o - 3*d, 10 = 2*d. Calculate the remainder when (114 - o) + (-1 - 0 - 3) is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/8803 or -12\/5?\nAnswer: -5\/8803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30914, 65206, 99498?\n\"Answer: 34292*m - 3378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*h - 23, -v + 3*h + 21 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 - 129. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gghhwppghghpghghwwh. Give prob of picking 1 g, 2 w, and 1 p.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68100988 and 16.\nAnswer: 272403952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 57. Calculate the common denominator of 43\/3 and (-1)\/9*k\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 4550650536.\nAnswer: 4550650535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1989427?\nAnswer: 11, 83, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 7*n**3 + 29 - 16.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 9*w**2 - 93*w - 162. What is p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5973026 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1663113 grams?\nAnswer: 166311.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -83, -106?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {e: 1, o: 2, b: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -477608, -955223, -1432836, -1910447, -2388056, -2865663?\n\"Answer: x**2 - 477618*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 11*a - 5. Let j be w(-2). Solve -j*b + 6*b - 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -19. Suppose 5*q - 14 = b + 16, -2*q + 48 = -4*b. Let d = o + b. Calculate the highest common factor of d and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000587849 rounded to seven decimal places?\nAnswer: -0.0000588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 7, 5 in decreasing order.\nAnswer: 7, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -3*i**4\/8 + 6*i**2. Let x(v) = -v**2. Determine x(q(d)).\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.07, -1\/12 in descending order.\nAnswer: -0.07, -1\/12, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 + 10*i**3 + 18*i**3 - 47*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 644797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-146))\/((-21)\/(-5152)). Let b = 1\/73 - c. What is the smallest value in 1, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 - 2*a**5\/15 - a**4\/24 + a**3\/2 - 3*a**2. List the prime factors of l(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 7*m**2 + 7*m - 4. Let t be z(6). Let i be ((-2)\/(-4))\/((-2)\/(-8)). Suppose i*n + 37 = 3*a, -t = -a + 3*n + 15. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14405 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.068 + 0.006. Round k to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6321 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-15))\/((-1)\/140). Suppose -3*b - 3*b = -42. What is the greatest common divisor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x - 4 = 0. Let a be 1\/((-2)\/3)*x. Which is smaller: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 3. Let y be g(5). Suppose 0 = y*a + 124 - 506. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21 - 1\/((-6)\/(-18)))*18. What is the highest common divisor of 1728 and m?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y*y*y**(-1\/8)))*y*y**(6\/11)*y**36*y**17 assuming y is positive.\nAnswer: y**(5053\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7363 divided by 37\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 22*h**2 - 2*h**3 - 39*h**2 + 61*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*g**3*m + 5*g**3 - 4*g**2 - 19*m - 1 wrt g?\nAnswer: 252*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(3\/5)*s*((s*s*s\/s**(-5))\/s)\/s*s*(s*s**(1\/4))**(1\/20)*(s**(-5)\/(s*s\/s**3))\/(s*s*((s\/(s\/s**(-2\/3)))\/s)\/s*s)**45 assuming s is positive.\nAnswer: s**(-747\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 10. Let b(d) = -5*d - 29. Suppose 39 = -227*l + 240*l. What is l*b(g) + 8*m(g)?\nAnswer: g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7766, 0.5, 10 in descending order.\nAnswer: 7766, 10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45517953673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97910401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3 + j**2 + 2 - 4 + 1. Let a be w(0). Let i = 219 - 1091\/5. Which is greater: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0447 - -5.0447. What is the fourth biggest value in v, 4, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -36. Suppose 4*f - p = f + 3*n, 5*f - 13 = n. What is the third derivative of 3*h**2 - f*h**4 - 3*h**2 + 4*h**4 - 2*h**2 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875798691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*85\nAnswer: -16.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6))**(11\/2) assuming o is positive.\nAnswer: o**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/10)\/a)\/a*a)**23\/(a**(-1))**(2\/15) assuming a is positive.\nAnswer: a**(-151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -217.8 (b) 106 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*q**3 + 5*q*r**2 - 166*r**2 with respect to q.\nAnswer: -36*q**2 + 5*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1648579 months in centuries?\nAnswer: 0.00180404825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 2*c - c)*(7 + 0 - 5 + 0 + 6 - 3 + (1 + 4 - 3)*(1 - 1 + 1)) to m + z*c and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 15. Give l(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/5221363 and 17\/116.\nAnswer: 20885452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**3 + 4992*f**2 - 27*f**3 + 2 - 1536*f**2.\nAnswer: -f**3 + 3456*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 - 3467 + 1388*s + 3467.\nAnswer: -10*s**3 + 1388*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -6.42. Let b = d + -6.32. Put -3\/7, b, 2 in descending order.\nAnswer: 2, b, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = 5. Let f be (-4 + 42\/9)*18. Suppose d + 3*d + f = -2*g, 2*d + 12 = b*g. Solve -g*r - 1 = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -982, -5, 0.04 in decreasing order.\nAnswer: 3, 0.04, -4, -5, -982","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (3 + 12) - (-3 - 0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30.92. Let d = -0.08 - y. Is d at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110821 or -110958?\nAnswer: -110821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25848 divided by -4308\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 9*r**2 + 5*r - 15. Calculate v(-7).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8172285 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, -9, -488, 112.\nAnswer: -488, -9, 2, 4, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-22)\/(-7)) + (-12)\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148512*t**4 - 178564*t**2 wrt t.\nAnswer: -3564288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 120*i - 120*i - 2*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 18 - 12 + 30.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 74. Calculate the remainder when 16 + 30 + 0\/(-2) is divided by x(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = -5*w + n - 87, 0 = w + 3*n - 116. Calculate the highest common factor of w and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18500 and 5500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2. Let b(h) be the third derivative of 0*h**3 + 0*h - h**2 + 0 + 1\/30*h**5 + 0*h**4. Determine n(b(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12))\/(5\/(45\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(((-67)\/(-1943))\/(16\/((-88)\/(-11))))\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1602800 and 10525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19094.86 rounded to the nearest 10?\nAnswer: -19090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 1 w when three letters picked without replacement from {w: 1, s: 8, h: 5, v: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 2*b + b + (9*b + 5*b + 6*b)*(-1 + 0 - 2)*(-2 + 3 + 1).\nAnswer: -117*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244034 + -1414?\nAnswer: 242120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 18. Suppose -4*k = 0, 6*k - h = -2*a + 3*k. List the prime factors of (3 + 3 - -1)*a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727100 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 3*j + 4. Let k be r(3). Suppose 2*c + 2*c = 20, -k*l - c + 69 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/5 + 3*s**3 - 5*s**2 - 12*s + 68\/5 = 0.\nAnswer: -17\/2, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millennium in decades?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 66 = -3*l, 0 = l - 2. Calculate the lowest common multiple of r and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -60*l**3 + 25*l**2 - 3*l + 445. Let y(g) = 16*g**3 - 7*g**2 + g - 111. Give -3*c(m) - 11*y(m).\nAnswer: 4*m**3 + 2*m**2 - 2*m - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 6. Let c be n(4). Suppose -2*f = -3*s + 622, 0 = 5*s + 7*f - c*f - 1070. Suppose 7*m = -0*m + s. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47573 and 43844?\nAnswer: 18458324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/22, 10, -4 in decreasing order.\nAnswer: 10, 4, 3\/22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051919343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2331.48 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 6*j**5 - 95*j**4\/4 + 5*j**3 + 1177. Determine n, given that f(n) = 0.\nAnswer: 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 3. Which is the closest to q? (a) 1\/4 (b) -0.08 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - 2*q - 2 + 2*q + 2 + (2 - 1 - 3)*(-1 + 1 - q))*(-q**3 + q**2 - q**2).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*((-5 + 4 + 3)*(-2 + 2 + 2*j**5) + 5 - j**5 - 5).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12444 + -10855. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 2. Let g be h(-1). Let u be (-1 + g)*3\/(-1). Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200863, 201011, 201157, 201301?\nAnswer: 201443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25143423 is divided by 1386?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -731 + 787. Suppose f*p - 48*p - 72 = 0. Solve -3 = 3*b - 3*o, p + 1 = -b + 4*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**5\/30 + q**4\/12 + 20*q**2 - 32. Let l(i) be the second derivative of f(i). Let p(h) = h**2. Calculate p(l(c)).\nAnswer: 4*c**4 + 8*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*g**3*k*u**2 - 3*g**3*k - 13*g**2*u + 2*g*k**2 - 2*k**2*u**2 wrt u?\nAnswer: -58*g**3*k - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -9137?\nAnswer: -9141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258462\/692*5\/(-45)*2.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 21. Suppose -a + 3*d = 15, a - 2*d + b = 3. Let s(w) = -6*w + 11. Let z(h) = -3*h + 5. What is a*z(n) + 4*s(n)?\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -15. Is (4\/(-10))\/(o\/30) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z + 0*z**3 + 0*z**4 + 1\/30*z**6 + 0 - 1\/15*z**5 + 4*z**2. What is the third derivative of n(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -z + 16, 4 = 7*z - 6*z - 5*h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(-263 - 1639 - i - 727) to the form m*i + o and give o.\nAnswer: -5258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 24 = -z - 3, -4*z = -4*s - 44. Let y = 98 - 71. What is the remainder when y is divided by 93\/9 + (-2)\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -63, -114, -185, -276, -387, -518?\n\"Answer: -10*v**2 - v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 1 - (448 + 6). Let g = -311 - x. Suppose 0 = h - g + 25. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 + 5*o + 9. Let k(s) = -7*s**2. Suppose 0 = -5*h + h + 4. Let p be k(h). Is a(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2 - 57*u - 3. Let h be m(-8). Suppose -112 = -c - 4*o, h*c = 2*o + 559 - 21. What is the greatest common divisor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/8*(-36)\/855.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.011 - 0.989. Let d = -0.182 + 2.382. Which is the third smallest value? (a) d (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 4:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118185.\nAnswer: 3, 5, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*j - 28. Let s(f) = -4*f**2 - 10*f - 1. Let c(h) = h**2. Let p(q) = -2*c(q) - s(q). Is 24 a factor of p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.145?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*i + 308*i = -200*i + 20284 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f = -9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-1)\/(-1))\/(1 + -1 + 1). Solve n = d + 4*m + 14, -90*d + 5*m = -91*d - 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -721, 3, 58, -1 in increasing order.\nAnswer: -721, -5, -1, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*((-120)\/33)\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {m: 13, w: 5}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*c - 4617, -6*q + 11*q + 4635 = 4*c. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3823*a - 3913*a = 1350 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.49 - -11.99. Is d at most 0.176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 2*s**2 - s + 4. Let a be j(4). Suppose 0 = -0*k - 8*k + a. What is the remainder when 63\/2*(-20)\/(-30) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31 and -1123798147.5167.\nAnswer: -1123798178.5167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y. Let q be c(-2). Let r(z) = 6*z**2 + z - 3. Let f be r(-2). Suppose 14*x = f*x - 65. Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-2)\/(-28) + 91310\/(-56). Let x = v - -1621. Let w = x + 595\/76. Calculate the common denominator of w and 48\/5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13249920 divided by -6?\nAnswer: 2208320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287476529.\nAnswer: 13, 29, 6067577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 + 30*j + 35. Determine o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzo when three letters picked without replacement from {e: 5, p: 1, z: 1, o: 2, y: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/11*c**2 - 4\/11*c**4 + 8\/11 - 2\/11*c**5 + 16\/11*c**3 - 14\/11*c = 0. What is c?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 9*i**2 - 11*i. Let j be -4*-15*(-3)\/18. Let b be x(j). Does 10 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = 3*k, -4*k + 0*x + 16 = -5*x. Let o be 1*k + -19 + 18. Solve 0 = -o*l - l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, -7.875?\nAnswer: -7.875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 2, n: 3, l: 5}. Give prob of picking 2 l, 1 n, and 1 t.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*u + 13305 - 13305 to the form d + c*u and give c.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/(-3*sqrt(8)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*p**4 - 2*p**4 + 6*p**4 + (2*p**3 - 4*p**3 + 0*p**3)*(-3*p + p + p) + 3*p**4 + 0*p**3 + 0*p**3.\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q**2 + 2207*q + 11050. Let n be j(-5). Let z(v) = -3*v**3 - 7*v**2 - 6*v - 7. Let a be z(-6). Calculate the highest common factor of a and n.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025151 to five dps.\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -70, 5, 3475 in descending order.\nAnswer: 3475, 5, 0, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 29167997 * -3\nAnswer: -87503991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-8))\/(-7)*(-4)\/(-22).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -483 - -455. Suppose 2*a + 90 = 8*a. Calculate the common denominator of a\/81 - 6\/(-9) and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 304\/72 - (-4)\/(-18). Sort -5, -2, r in descending order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (97 + -3) - 29) + -18.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 5*s + 3. Let y(z) = -z - 2. Let b be y(1). Let w be l(b). Factor w*k**2 - 2*k**2 + 82 - 86.\nAnswer: 4*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76*a + 10 - 10)*(-a - 3*a + 3*a + (3 - 2 + 1)*(-7*a + 2*a + 3*a) + a + 0*a + 0*a - 2*a + 5*a + 9*a) to the form m*a**2 + q + j*a and give m.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) + sqrt(882)*-1 - sqrt(18)) + (-2*sqrt(216))\/sqrt(12))\/(sqrt(726) - (sqrt(726) + 5*(sqrt(726) + 2*sqrt(726)))).\nAnswer: sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 + -1.97. Let g = 0.8 - r. Let w = -0.47 + 0.07. Put w, g, -1 in decreasing order.\nAnswer: g, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81779.\nAnswer: 53, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 5. Let r be k(5). Suppose l = -r*l. Solve -2*c - 2*j + 2 = l, 2*c - j - 5 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164771163 is divided by 164771149.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 28*y**2 + 27*y + 30. Let j be a(27). Let f be (498\/(-5) + (-12)\/j)\/(-2). What is the greatest common divisor of f and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18527902.47us to weeks.\nAnswer: 0.000030634759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -214 and -293646\/1373 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 51 = -5*a, 3*g = -3*a + 8*a - 47. Let v(o) = 9*o**2 - 5*o + 9. Let m(b) = 14*b**2 - 7*b + 13. Give a*v(q) - 5*m(q).\nAnswer: -7*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 7, y: 4, l: 6}. Give prob of sequence zya.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/31 - (-9804)\/27993. Which is the closest to q? (a) 1 (b) -45 (c) 2\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.888278 micrograms in grams?\nAnswer: 0.000000888278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*4)**2*-5.\nAnswer: -26000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s + 2. Let r be j(-3). Let l(h) = -36*h + 28. Let v be l(r). Is 4\/18 + v\/36 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14268 in -0.73, -1, -2?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -763, -997, -1233, -1471, -1711, -1953?\nAnswer: -2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6226*f - 28. Let p(o) = -2*o**2. Determine i(p(r)).\nAnswer: 12452*r**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 151443.5 decades?\nAnswer: 18173220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -6. Factor -2*n - 2*n + 9*n**3 + i*n - 9*n**2 - 3*n**4.\nAnswer: -3*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.9405256s?\nAnswer: 0.001650146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 818297803 or 818297802?\nAnswer: 818297802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/23856 and -33\/266.\nAnswer: 453264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 divided by -331?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41577593*g**3 + 7*g**2 + 4*g + 180638.\nAnswer: -249465558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -24 + 5 + 55\/35\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 4*h - 131, 0 = l + 2*h + 57. Let m = l - -95. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2306 smaller than -2170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 151 or 761\/5?\nAnswer: 761\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40112*g + 20053*g + 20058*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 862538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 5\/8578216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -4*s - 22. Find the second derivative of s*y - 53 - 3*y - 30*y**2 + 45 wrt y.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.848 + -0.048. Let s = 16 - v. Suppose -23 + 26 = -3*k. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/110)\/(3\/36)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 100 = 14*s, -15*k + 19*k = -3381*s + 3385*s - 56 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254 by -127.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 96, 143, 190, 237?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5108 is divided by 514.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6. Let f = -7 - -10.8. Let w = f - -0.2. What is the smallest value in r, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268153.1us in nanoseconds?\nAnswer: 268153100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.30755 - 2.044\nAnswer: -0.73645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3370322 millilitres?\nAnswer: 0.0003370322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(133)\/sqrt(7))**2 + 2 - ((sqrt(304) + 3 - sqrt(304))*2)**2.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 2 - 194*u**2 + 14.\nAnswer: -194*u**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 4*z + 5*z)*(z**2 + z**3 - z**2) + 35*z**4 - 208*z**4 + 86*z**4 as g*z**4 + w*z + j*z**3 + d + q*z**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85.43 + -85.73. Let p = 6 - 4. Put p, 6, s, 3 in descending order.\nAnswer: 6, 3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 66*t - 156. Give q(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -5\/1226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-326*r**2 - 85*r**2 - 286*r**2)*(-r**2 + r**2 + 2*r**2) - 2*r**4 + 3 - 3 - 1 to the form c*r + n*r**3 + i*r**4 + w + u*r**2 and give i.\nAnswer: -1396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4\/547 (c) -3\/551\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-10 - -5) + 1) - (-4 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (50 + -52)\/(2 + (-5)\/2). Suppose -p = 1, -k - 3*p - 2 = -3. Let g = 2 + -2. Solve g*i = -k*i + z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566*d + 664 = -565*d. Calculate the greatest common factor of 24 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8.9. Let y = 41 - 41.1. Which is the second smallest value? (a) p (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 64*s**3 + 22*s**3 - 8*s**2.\nAnswer: -42*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 3422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2010 (base 3) to base 10\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3601 is divided by 1565?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-1)*24\/(-360))\/(3918\/648 + -6).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2213321210 - 2?\nAnswer: -2213321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1792675.\nAnswer: -1\/1792675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2177)\/933)\/(14\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38, -81, -196, -419, -786, -1333, -2096, -3111?\n\"Answer: -6*m**3 - m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 857531 to the nearest 10000.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65080721, -260322880, -585726479, -1041291518, -1627017997, -2342905916, -3188955275?\n\"Answer: -65080720*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -28*h + 0*h**5 + 13\/12*h**4 + 0 + 31\/42*h**7 + 0*h**6 + 0*h**2 + 0*h**3. What is the third derivative of g(u) wrt u?\nAnswer: 1860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -14*d - 400. Let g = d + -37. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 3. Suppose 14998 = -n - g, g = -5*n - y*g - 74994. Round n to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, 382, 376, 368?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2\/4 - 43935*s\/2 + 43938 = 0?\nAnswer: -29292, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 908520, 908516, 908510, 908502, 908492, 908480?\n\"Answer: -t**2 - t + 908522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from forcd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -t - 3*h, 13 = -2*t - 4*h + 37 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228.91 - 230. Let f = 0.09 + v. Suppose 2 - 6 = r. Which is the biggest value? (a) -1\/4 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**6\/480 + a**5\/240 - a**4\/96 - a**3\/24 + a**2 - 3*a. Let k(d) be the first derivative of x(d). Let k(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 2. Let r be d(-6). Suppose -5*p + r = -p. Suppose p*c + 345000 = 2*g, -2*c - 4*g = -8*g + 138000. Round c to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/78 - (1 - 2). Let j = 0.9 + -1. Let p = j - 3.9. Which is the closest to 2? (a) -5 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + 4\/(-1))*0. Suppose 4*b - b - 15 = k. Let 0*o + 2\/3*o**3 + 0 + 2\/9*o**b - 2\/9*o**2 - 2\/3*o**4 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 - 384*x**2\/7 + 1138*x\/7 - 108 = 0. Calculate x.\nAnswer: 1, 2, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/4 - b**3 - 3*b**2 + 2*b - 27. Suppose 3 = 2*m - 5. Determine a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 335266 and -0.0386.\nAnswer: -12941.2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -29. Suppose -4*v = -3*v. Suppose v = -n + 2*n - 99. Calculate the greatest common factor of n and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10433, 10040, 9547, 8960, 8285, 7528, 6695, 5792?\n\"Answer: j**3 - 56*j**2 - 232*j + 10720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from rxjbbrl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 - 640*z + 855. Calculate t(-108).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 24*p = -20. Let n(j) be the third derivative of 1\/15*j**3 + 0 + 0*j + 0*j**p - j**2 - 1\/150*j**5. Factor n(r).\nAnswer: -2*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.24931*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125\/45 - 4\/(-18). Suppose -3*b = -v - v - q, -4*b = -4*v. Factor -2*r**b - 16*r - 2*r**4 - 10*r**3 - 24*r**2 + 0*r**4.\nAnswer: -2*r*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - -74. Suppose 65*u - 34*u = 30*u + 14. What is the remainder when w is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*j - 178*j + 367*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65125\/3684 != 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -75 (b) 0.4 (c) -26\/113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-4))\/((-6)\/(-8)). Let y = v + -1. Let o = 0.08 - 0.01. Sort o, -0.3, y in descending order.\nAnswer: o, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - u = 3, 2*u - 3 = 3*u. Let x = 11 + -4. Let o = 27 - x. Solve -5*z + 3 - 19 = s, q = -5*s + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(a**3 + a**3 - 4*a**3) - 3 + 3 + a**3 + (3 + 2*a**2 - 3)*(-2 + 3*a + 2) - 3 + 3 - 2*a**3 as s + d*a + k*a**3 + y*a**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531630331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/10)\/(5 - 3046\/610) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 93*h**3 - 1071*h**2 - 5439*h - 10290.\nAnswer: -3*(h + 7)**3*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 0.09, -5, 1, -4, 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135271 is divided by 7194?\nAnswer: 5779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 756*d + 571*d + 875*d + 142*d.\nAnswer: 2344*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -75. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 289 = 135. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**7\/21 - 8*a**6\/15 - 34*a**5\/5 + 13*a**4\/3 + 179*a**3\/3 - 130*a**2 - 9227*a. Solve q(y) = 0 for y.\nAnswer: -5, -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13422203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.119 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*v - 49 = 0, -296*k + 3816 = -5*v - 905 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -51. Is b bigger than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 - 83. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39\/1342 + 1\/61. Let t = j + -59\/330. Suppose 2*v - 1 - 1 = 0. Is t equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -31*k**3 - 47*k**2 - 2*k - 21. Let l be a(-4). Solve -1167 + l = -13*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3276.\nAnswer: -19656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183 - 406 - 522 = -260*b + 1789 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3230048 divided by 100939\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 260473301 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/4 or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/3 - 108*v**2 + 214*v - 320\/3 = 0 for v.\nAnswer: 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -162ec?\nAnswer: -16307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 31*m - 15. Let r be s(-10). Sort -4, 1, r, 2 in ascending order.\nAnswer: r, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/12 - w**3\/3 - w**2 + w. Let s(r) = -r**2 + 22*r + 102. Let o be s(-4). What is x(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -10*u - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469612.\nAnswer: 2, 11, 13, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2 = -10*o + 12*o, -2*o = k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 198?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/2*2*((-80)\/(-16))\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*(-8)\/(-60))\/(1\/(-30)). Solve -2*r - r = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/605 and 73\/248776.\nAnswer: 1243880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -14\/5 (c) -1\/3 (d) -51 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159.8072 + 8.\nAnswer: -151.8072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -112. Let v be ((-9)\/(-15))\/((-5)\/n). Suppose 2*d + 9*d - v*d - 2*d**3 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 28.8. Let i = 4.2 - u. Which is the nearest to i? (a) -2\/7 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 90*d**2 + 7388*d + 203. Determine n(-52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -13*d**8\/48 - d**5\/30 + 541*d**4\/24 - 1040*d**2 + 2*d. Find the second derivative of f(t) wrt t.\nAnswer: -1820*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 140166678593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n**3 - 5*n. Let r(m) = 9*m**3 - 2*m. Let c be -6 + 303\/27 - (-6)\/(-27). Give c*r(q) - 2*y(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:38 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugu when three letters picked without replacement from wwuggwgfguwwuuwug?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 822205 and 4624.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*o - 2 = 0, -o = -5*o. Put 27, f, 0 in increasing order.\nAnswer: f, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*i = -4*i - 136, 5*x = -2*i + 305. Suppose -3*u = w - 87 - x, 0 = u + 3*w - 42. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -1. Suppose p*l - 864 = -24. Does 7 divide l\/20*(-5)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:19 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -27846 less than -28693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqfqqfqqqqfq. What is prob of sequence fqqf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 55 + 15 = 0. Let s be (-98)\/(-6) + (-2)\/6. Let l = y + s. Solve -4*v = -3*h - 5 - l, -4*h = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17757213 (base 9) to base 5\nAnswer: 4243020411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y + 238. Let a be v(8). Suppose -4*b + 2*r = -38, 46 = 5*b + 157*r - a*r. Solve -7*l + b = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-2) - 43\/(-86)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/(-3) - 4\/2. Suppose 6*w - 135 - v = 0. Solve 0 = -3*z + 8*z - w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 21\/2*u**4 + 0 + 4*u - 9\/2*u**5 + u**3 - 10*u**2 = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005521814464 to 6 decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -2.06\nAnswer: 4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 20 = w. Suppose 7*d - 135 = 5. What is the highest common divisor of d and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 0*q)*(1 - 4 + 1) + (-2 + 0 + 0)*(2*q + 3*q - 4*q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 6 + 6. What is the tens digit of (-134)\/u - (-8)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349.940104 - 350.1. Let a = k - -0.16. What is a rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628*r**4 + 20 + 56*r**5 + 743*r**2 + 218*r + 1207\/2*r**3 = 0. What is r?\nAnswer: -2\/7, -1\/4, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 7) to base 11\nAnswer: -32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 10672308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1230, -2427, -3594, -4731?\n\"Answer: 15*i**2 - 1242*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/7, -2\/5, 236 in decreasing order.\nAnswer: 236, -2\/5, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -5315023?\nAnswer: -1063004.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 541*y**3 + 11359*y**2 - 40*y + 32. What is i(-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Suppose -5*k - 2*b + 35 + 117 = 0, 0 = b - 1. Suppose -t*y - y + k = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:00 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14666 - -14709. What is the nearest to j in -0.1, -4, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/5, 139, 3\/7, -0.023, -2\/261?\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -713, -4, -1, -5 in increasing order.\nAnswer: -713, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/3 + 2*s**4 + 54*s**3 + 154*s**2\/3 = 0?\nAnswer: -7, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 42*g**2 + 49*g - 1. Let m(l) = -l**2 - 2*l + 1. Let n(z) = -c(z) - m(z). What is the second derivative of n(h) wrt h?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((54\/120)\/3)\/(-3*5\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 2*a + 3. Let w be t(3). Let i = w - 46. Let u be ((0 - 0)\/i)\/2. Solve -2*p + 10 - 2 = u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 6. Suppose 0 = -4*b + b + 12. Suppose 3*i - 8 = b. What is the least common multiple of p and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/972 and 151\/15678.\nAnswer: 846612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(3*r - 4*r + 0*r) - 3*r + 3*r - 2*r - 3*r - 3*r + 4*r - 5*r + 3*r + 0*r + (3*r + 0*r - 5*r)*(-4 - 7 + 1) as m + w*r and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose -s*x = 2*i, -4*i - 10 = 2*x - 2. Which is smaller: 2\/3 or x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -4*n, -4 = 3*p - 1. Suppose -5*c - 5*w + 35 = 0, 3*c + 11 = 2*w + 3*w. Suppose -c*x + 6 = -0. Solve -5*t + 3*z - x = z, t - 3*z + 3 = n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*q = -1253, 2*q - 6235 = -5*s + 6*q. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/669456 and 31\/2376?\nAnswer: 22092048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(162).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 11*d**2 + 11*d + 13. Let g be m(-10). Let i be (-76)\/(-4) - 2 - g. Suppose -3*y = 4*b + i, 2*y - 1 = -b - 2. Sort b, -3, 0.\nAnswer: b, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14147154 + 1582.\nAnswer: -14145572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - k**2. Let l be j(-1). What is the third biggest value in l, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375471 less than 3375471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004688527 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 8:29 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22003133100 (base 4) to base 6.\nAnswer: -132254240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476040?\nAnswer: 2, 3, 5, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183.381nm in meters?\nAnswer: 0.000001183381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 8}. Give prob of picking 2 v and 2 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13025*j = -12966*j - 1888 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 10, 4*k + 0*p - 2 = -2*p. Suppose -18 = -0*v - k*v. Suppose 4*q = v + 2. Solve 0 = -2*h - 2 - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 64, 70, 52, 4, -80?\n\"Answer: -o**3 - 3*o**2 + 40*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1 - 3) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 5*a. Let r(k) = 2*k**2 + 8*k. Let o be 4*3*1\/12. Let g(p) = -6*p**3 + p**2 + p - 1. Let h be g(o). Give h*r(m) + 8*s(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1390 - 1088 - 456 + 1742*m**4 wrt m?\nAnswer: 6968*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**2 - 66*g - 4. Let t(z) = 11*z**2 - 99*z - 6. Determine 5*t(k) - 8*u(k).\nAnswer: -k**2 + 33*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*g = -169*g + 7310. What is the least common multiple of g and 15?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhssp. What is prob of sequence pp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.95 * 3\nAnswer: -8.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-2)\/(36\/(24\/(-4)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 173*-16\nAnswer: -2768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 3)*-1 - -1*3. Let t be 4 + -5 + q\/9. Which is the biggest value? (a) -0.1 (b) t (c) 3 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10.20208 * -3\nAnswer: -30.60624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k**2))\/k)**(-1\/9))**(-2\/11)\/(((k*k**(-3\/2)\/k)\/(k\/(k*k**(3\/2))))\/(k**4\/k**(-1\/8))) assuming k is positive.\nAnswer: k**(3203\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2415 - 2415 = -11*s. Let h(i) be the second derivative of s + 8*i + 1\/3*i**4 - 2*i**2 + 5\/2*i**3. Determine m so that h(m) = 0.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304.0036 minus -2995?\nAnswer: 4299.0036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2642 - 1.2642. Let j = -0.1 + 0.1. Which is the biggest value? (a) 5 (b) j (c) 1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -0.088938412?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let c(i) be the second derivative of 0*i**2 + 8*i + 4\/3*i**3 + 0. What is p(c(l))?\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638262706?\nAnswer: 2, 19, 16796387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4\/(-12)*240\/5. Suppose 3*f = 4*o - 26, -4*o - 4*f + 2*f = -y. Sort -2, 1, -5, o.\nAnswer: -5, -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihhhiihihhhihhhhhhh. Give prob of sequence iih.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3760862 decades in centuries?\nAnswer: 0.03760862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 - 1832896*s + 209969234176 = 0. Calculate s.\nAnswer: 229112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-924)*-165 - 18.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.778819 rounded to two decimal places?\nAnswer: 6.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2279, -4560, -6841?\nAnswer: -9122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Suppose -2 = 4*m - 0*m - 5*x, y*m = 5*x. Solve -10 = -m*i, 4*b + i + 14 = 3*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-700179.\nAnswer: 8402148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 3. Suppose 8 = 3*n - g. Sort -4, 4, n in decreasing order.\nAnswer: n, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20100985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26338731 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffjj when four letters picked without replacement from {j: 9, f: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -1\/5 (b) 84\/11 (c) -34 (d) -2 (e) -0.1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 93. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 43. Which is smaller: -9\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13277 + 31985. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 71 + 34)*(-4*r + 4*r + 2*r) in the form n + z*r and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 4, 0.306, -0.4?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*sqrt(76) + -1 + sqrt(76) + -5*(1 + sqrt(76)) + -3)*2*1 + 2)**2.\nAnswer: 528*sqrt(19) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/50023?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 22*y + 11*y - 44 + 76*y**2 - 10*y + 0*y + 12*y**2. Is u(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*n + 6, 0 = 8*n - 13*n - 5*l + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 733 = -311. Suppose 82*u + 162335 = o*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-24))\/((-5)\/(-4345)). Let n = -145 - w. Sort -0.5, n, -7 in decreasing order.\nAnswer: n, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 6:11 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3968 bigger than -4031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 123. Let t(v) = -v. Calculate b(t(y)).\nAnswer: -y**2 + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7442\/5 - 244\/5*l - 2\/5*l**2 = 0 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -2*h**3\/3 + 2*h**2 + 20*h. Determine z(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, -54 in descending order.\nAnswer: 20, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((10\/(-5))\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3185\/(-170) + 100\/425)\/((-1)\/668).\nAnswer: 2, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1121 = j + 3*u - 1145, 4*j - 3*u + 9 = 0. Put 16, -5, j in descending order.\nAnswer: 16, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 214*y**4 - 638?\nAnswer: 856*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -c + 4*h - h, -2*c + 4*h + 1140 = 0. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 49. Let h = v + 15. Which is the nearest to 0.2? (a) h (b) -1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2788100 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 19. Let r be (0\/b)\/(2 - -2). Suppose 2*d - 28 = -4*t, 0*t - 4*t + 4*d + 16 = r. What is the remainder when 22 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67074506?\nAnswer: 2, 29, 1156457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 754717619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/9036 and 31\/117879138?\nAnswer: 235758276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 21, -20, -81, -168?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 624.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m - 5. Let b = 64 - 58. Let o(s) = -11*s - 2 - b - 6 + 5. Let c = 6 + -10. What is c*o(r) + 7*k(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**8\/336 - o**7\/280 - o**6\/30 - o**5\/30 - 16*o**3\/3 + 14. Let w(g) be the third derivative of k(g). Factor w(x).\nAnswer: x*(x - 2)*(x + 1)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 8*c + 2*c**4 - 192 + 43 + 44 + c**2 + 73 to j*c**4 + g*c**3 + b*c**2 + a*c + q and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 1, x: 1, f: 2}. What is prob of sequence exf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20331*f*x*y**2 + 2*f*x - 15*f*y**2 - 2*f*y - 3*f + x*y**2 - 21620*x*y + 19*x + 39*y**2 - 5*y - 1 wrt y.\nAnswer: -40662*f*x - 30*f + 2*x + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**3 + 3*o**2 + 2*o - 3. Let g(q) = 9*q**3 + 2*q**2 + q - 2. Let c(w) = -2*w**2 - 3*w. Let t be c(-2). Let h(v) = t*m(v) + 3*g(v). Give h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(14)\/sqrt(7)) + -5 + sqrt(14)\/(sqrt(21)\/sqrt(3)).\nAnswer: -4*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5*70.0965\nAnswer: -350.4825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 222?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 866302.\nAnswer: 606411.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 193095660 to the nearest 100000.\nAnswer: 193100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88156?\nAnswer: 2, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**5\/a**(-8))**19)**45)**18 assuming a is positive.\nAnswer: a**200070","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59.61403 - 0.3.\nAnswer: 59.31403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 16?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/8 + 179*c**4\/8 + 3495*c**3\/8 + 6457*c**2\/8 + 785*c\/2 = 0. Calculate c.\nAnswer: -157, -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 108512548 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -15\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17816 and 1564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 7*c**2 + 9*c + 7. Let r(h) = -h**2 - h + 7. Let x be r(0). Is w(x) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004733 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 0, -5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -249*n**2 + 3*n - 758. What is z(0)?\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7734610 - 48294643. Let n be -3*1\/4 - a\/12. Let x be n\/2 + 3\/12*-4. What is x rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 45. Suppose 14*z - a*z + 4 = 0. Factor 0*h**2 + 0 + 2\/9*h**3 + 0*h**z + 0*h - 2\/9*h**5.\nAnswer: -2*h**3*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-4) - (1 - 1). Suppose 15 = 2*u + u, -j*m + 325 = -u. Let d = m - -149. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -6. Suppose 5*w + 5*f = -1 + 41, -f + t = 2*w. Suppose -w*m + 180 = -3*r, 0 = -2*m - m - 4*r + 194. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236.91 millennia in centuries?\nAnswer: 42369.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -1. Suppose -2*i + 2*g - 10 = 0, 2*i + 3*g = -g - 28. Let x be -3 - (4 + i) - 4. What is the biggest value in 4, x, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 32945 = 5*a, 0 = -0*a - a + 4*p + 6611. Let r = a + -3634. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*k - 24, 4*z - 3*k - k - 16 = 0. Let y be ((-75)\/6)\/((1\/2)\/z). Solve 5*r + 3*w - y = 0, 4*r + 5 = -2*w + 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**3\/3 + 4*w**2 + 2*w - 1. Let o(g) = -4*g - 17. What is 13*m(n) + 6*o(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 0.5 (c) -1 (d) 5 (e) 363.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(152)*2)\/(-2*sqrt(32) - (sqrt(8) + 2*sqrt(72))))**2.\nAnswer: 7600\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20578 and 0.1?\nAnswer: 2057.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 2)*(-r + 2*r - 2*r) + (-103 + 227 + 39)*(8 + 9*r - 8) to the form w*r + g and give w.\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13133, -13132, -13123, -13100, -13057, -12988?\nAnswer: -12887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(1 - 22\/(-32))*-12. Let y be 24\/(-90)*f\/36. Suppose 9\/5*i**3 + 0 - y*i**2 + 3\/5*i - 3\/5*i**4 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, 0.05.\nAnswer: -3, -2\/3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {f: 1, h: 5, o: 2, m: 4, q: 1, v: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 6. Let l be d(11). Suppose l*f = 41 + 29. Let q(c) = 5*c + c**3 - f*c + 6*c - 2. What is q(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f + 4. Let n be t(3). Let j(i) = 7*i**3 + 6*i - 6. Let p(q) = -39*q - 13*q**3 + 61*q + 11 - 33*q. Give n*j(x) - 6*p(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(648)*2) + 2 - (2 + -5*(sqrt(2)*2)**2 + 4).\nAnswer: sqrt(2)\/18 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What is the second biggest value in -61, 1.472, -11\/6, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -48. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) -292818775\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1031565.66\nAnswer: -206313.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29426 rounded to 2 dps?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -103515 (base 6) to base 14\nAnswer: -31d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 12*j**2 + 10*j + 1. Let m be s(-5). Suppose -12*l + 258 = -m. Let u be (-20)\/6*12\/(-5). What is the greatest common divisor of l and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5230528 by -1307632.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 84. Let u = 2\/11345 + -22712\/124795. What is the second smallest value in q, -8\/7, -1\/4, u?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1616\/24885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 868*a**3 - 3620*a**2 + 18564*a.\nAnswer: 4*a*(a - 221)*(a - 3)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/12 + y**3\/2 - 7*y**2 + 4*y. Let p be a(-6). Suppose 0 = t + p*t - 370. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-238))\/((-18)\/(-21))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.33 + 3.13. Which is the third biggest value? (a) -8 (b) 5 (c) n (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*a + 15*a + 13*a + 2 + 11*a wrt a?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809408 is divided by 269795.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 15\/20)\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 7797545?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584895159 to the power of 1\/3, to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen halves of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 659 = 153. Let w = 165 - 214. What is the units digit of (f\/w)\/(2\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 17*u**2 - 20*u + 3. Let c be y(-16). Let i = c + 133. What is the highest common factor of 25 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 146 = 185. What is the highest common divisor of v and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112001419 and 565.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 - 61. Suppose 40*q - 60 = 36*q. Calculate the remainder when t is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000362 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1638, -241?\nAnswer: -1638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276640132 a multiple of 5002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 1088 = -4*h. Let l = 3315 - 3299. Calculate the highest common factor of l and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*h + 173*h = 273*h + 96*h + 29304 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -25626*i**3 + 11794*i**2 - 9*i + 9. Let n(g) = 6405*g**3 - 2948*g**2 + 2*g - 2. Let h(m) = 2*c(m) + 9*n(m). Find the third derivative of h(f) wrt f.\nAnswer: 38358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:38 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 1\/60*k**5 + 0*k + 0*k**3 - 1\/60*k**6 + 0*k**4 + 1\/210*k**7 - 4*k**2 + 0. Factor l(q).\nAnswer: q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/19)\/f)**(-26) assuming f is positive.\nAnswer: f**(546\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -192*o - 4092. Determine k(-15).\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/(-3*sqrt(12)))\/(sqrt(72) + sqrt(72) + -3*sqrt(72)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/10)\/(56\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 930286?\nAnswer: 26978294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 8 = 12*d. Suppose 3*c - d*z - 26 = 52, 0 = 4*z. What is the third derivative of -22*l**2 + 78*l**2 - 29*l**2 + c*l**4 wrt l?\nAnswer: 624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**2 - 212321090*r - 2254012262939405 = 0.\nAnswer: -21232109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 10. Let i be j(7). Suppose 11*m + i = -310. Let l = m + 48. What is the greatest common factor of 20 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grjg when four letters picked without replacement from uguujburpugjuuu?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145070 is divided by 145057?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -503 + 516. What are the prime factors of ((3\/(-21))\/1)\/(o\/(-130039))?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10735213 and 0?\nAnswer: 10735213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 452, -1, 83.\nAnswer: -1, 83, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -23\/60*g**6 + 0 + 7*g**2 + 0*g**4 + 0*g + 11\/15*g**5 + 0*g**3. Find the third derivative of a(f) wrt f.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 61. Let y be (0 - 1)*(-4 + 4). Let k be p(y). Suppose 5*a - k = 69. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39949 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 9?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13425 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-5) - 6\/15 - -1. Let c = 10 - z. Factor m**3 - 2*m**c - 2*m + 0*m**3 - 4*m**2 + 3*m**3 + 4.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69 + 3*g - 22*g**5 - 69 wrt g.\nAnswer: -440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1460664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 3*s + 1\/12*s**4 + 1\/3*s**3 + 3*s**2 + 0. List the prime factors of u(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 54 + 82 = 0. Suppose -2*j = j - 30. Put j, r, 0 in descending order.\nAnswer: j, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17015 and 30627?\nAnswer: 153135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/40 - 177*j**4\/4 - 31329*j**3 + 1698*j**2. Find a, given that m(a) = 0.\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 133. Let t be (4\/b)\/(15\/(-75)). Let w = 4 - 4. What is the nearest to w in 6\/5, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 2*c - 4*c + 3*s, -18*s - 707 = -0*c - 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6029689 = 12*h + 833293. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 477662 and 12050.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 + -123. Let a = t - 49. Suppose -9 = -s + 3*v, 5*v - 5 = -s - a*s. Solve i + 6 = 2*w, -s*w - 15 = -8*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -61. Let g = 89 + f. Suppose 20 + g = p. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (0 + 8 + -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Let j(x) = x**2 + 19*x + 91. Let v be j(-15). Let i(t) = t**2 - 37*t + 191. Let m be i(v). Solve n = -3*k + m*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -d - 13, 4*x + 2 = 3*d + 1. Let z(g) = 5*g + 11. Let a(v) = -5*v - 13. Let m(k) = x*z(k) - 3*a(k). Let u(w) = -2*w**2. Determine u(m(i)).\nAnswer: -50*i**2 - 100*i - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*q + 3*q = -17, 2*q = -x - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-23 - (14 - 65))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 + 0.14. Which is the closest to y? (a) -0.1 (b) -1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**3 + k**2 + 6*k - 3*k**3 + 5*k**3 - 3*k**3 - 12*k**3 to f*k + z*k**3 + r*k**2 + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmrmrm. What is prob of sequence rm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exge when four letters picked without replacement from {x: 2, a: 1, g: 2, e: 7}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 278 = -292. Let l be 6\/(m\/6*(-18)\/4). Sort 1, -1, l, 2 in decreasing order.\nAnswer: l, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 67, 118, 189, 286, 415, 582, 793?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41778*s - 41778*s + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856876?\nAnswer: 2, 214219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73833 divided by 9\nAnswer: -24611\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-15)*80\/(-32))\/((-767)\/(-236)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36421855 is divided by 1009.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ab (base 14) to base 6.\nAnswer: 11015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 19*n - 70 - 35 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*d + q, -32 = 5*d - d + 2*q for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n + 8. Let a be (2\/(-6))\/(n\/168). Is 8\/(-28) + 779\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 385260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.0166kg to milligrams.\nAnswer: 54016600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6396384991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*q + 2782, k - q + 4*q = 1391. Suppose -1393*h = -k*h + 4. Let r(n) = -n + 1. Let s(v) = 3*v**3 - 2*v + 2. Calculate h*r(x) + s(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61 times 6258.79\nAnswer: 381786.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211010211 (base 3) to base 10.\nAnswer: -16141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 801 - -2290. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*a**4 - 2749*a - 114715.\nAnswer: -84*a**3 - 2749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -980754*o**4 + 37*o**2 + 6541525*o + 1 wrt o.\nAnswer: -11769048*o**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000166272053 rounded to six dps?\nAnswer: 0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrre when four letters picked without replacement from {e: 3, r: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/288 and -37\/139824.\nAnswer: 279648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4773*j**6 - 5214*j**2.\nAnswer: 572760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**3\/6 - d**2\/2 + 2*d - 115. Let b(l) = 4*l**2 + 3*l. Determine b(z) + c(z).\nAnswer: 4*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 55.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582292627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 315\/60 - 1\/4. What is the nearest to 2\/5 in -5, f, 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3104 = 10*h + 724. What is the remainder when h is divided by (2 + 0 + 30)\/((-12)\/(-18))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {f: 6, z: 1, i: 4, v: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 12*c - 7. Give m(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 2\/19 (c) -27 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4 - 298*i**3 + 3600*i**2 - 8744*i + 5440 = 0.\nAnswer: 1, 2, 10, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-201)\/51 + 4). Suppose 0 = 5*l - 3*m + 54, 0*m - 2*m = -5*l - d. Let q = l - -9. Solve q = -2*t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**8\/840 - o**6\/180 + 7*o**3\/3 - 4. Let n(j) be the third derivative of x(j). What is a in n(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 2 - (-3301)\/2. Let m = 1611 - f. Calculate the common denominator of m and (-20)\/(-5) + (0 - (-435)\/(-48)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2476556702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/49*(-669)\/(-892).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 33*y**2 - 19*y - 12. Let x(h) = 17*h**2 - 10*h - 7. Determine -3*i(u) + 5*x(u).\nAnswer: -14*u**2 + 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -20. Suppose 19*c = d*c + 56. Which is smaller: c or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -175 + 183877?\nAnswer: 183702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 0 (b) 0.184 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 5*f**2 + 4*f - 3. Let z(r) = -r**3 + 6*r**2 - 5*r + 4. Let a(q) = -3*x(q) - 2*z(q). Let u be a(2). Solve u = 3*h - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*q - 327*q - 425*q + 9.\nAnswer: -108*q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 4*p**5\/5 - 20*p - 9. What is the derivative of j(a) wrt a?\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) - (sqrt(180) - -3*sqrt(180))) - -2*(sqrt(5) + -3*sqrt(5)))**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 837137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63078864 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.1. Suppose -18 = -3*c - 3. Suppose -c*x + 7 = -m, 2*x - 4 = 6*m - 5*m. What is the closest to m in 0.2, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.158 - 0.158. Put -0.3, y, -0.4 in increasing order.\nAnswer: -0.4, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 226.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*b + 4*v, -b - v + 9 = -4*v. Suppose -4*w = -r + 17, -172*r + 174*r - 19 = 5*w. Suppose 5 = x + 4*j - 14, j = 4*x + 9. Sort x, b, w.\nAnswer: w, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 3:44 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*h - 403 - 24 - 168 = 353 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 18. Solve n*a = 4*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121.8 - 189.68. Let z = -69 - j. Round z to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 10, c: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*-2*1335\/(-7565).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112110 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4006 + 4006.05. What is the third biggest value in -6\/5, 4\/3, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 69*j**2 + 122*j - 791. Let f be b(-67). Solve f*v = -3*d + 8*v - 8, -4*v = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74646)\/(-2079) - (-12)\/126?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -125*o**4 - 3*o**3 - 1747*o**2 - 12*o. Let n(y) = -y**4 - y**3 - 3*y. Let j(g) = k(g) - 4*n(g). What is the third derivative of j(r) wrt r?\nAnswer: -2904*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5174 divided by -3?\nAnswer: 5174\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(-3\/10) assuming n is positive.\nAnswer: n**(3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 343 divided by -1\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -15, 0*p - p = 5*f + 30. Let j(w) = w**2 + 6*w + 5. Let q be j(p). Let z be -1 + 4\/(-18) + 1. Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/2 + 57*y - 113\/2 = 0.\nAnswer: 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -218*h - 15. Let i = 118 + -124. Is t(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a3 + 106b4?\nAnswer: 10887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*o + 11 - 3, -p - 10 = -4*o. Solve 0 = t + 4*i, o*i + 3 = -t + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696561 is divided by 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 9 = 3*v + 2, 4 = 4*v - 4*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 + c - 1. Let q(k) = -11*k - 3. Let m be q(6). Let r = 72 + m. What is j(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -594, -450, -306, -162, -18?\n\"Answer: 144*a - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013579 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 63. Let a(p) = -2*p**3 + 6*p**3 + 2*p**2 + p - 4*p**2 + 0*p**o. Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60396*k**2 - 9*k + 9743.\nAnswer: 120792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/3833 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**3 + 9*i**2 + 2*i - 2. Let m be 3\/(-12) - 15\/4. Let f = -8 - m. Let z(l) = 2*l**3 - 4*l**2 - l + 1. What is f*a(r) - 9*z(r)?\nAnswer: -2*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 7 + 4 + -6. Let l(v) = -1 + v - 5*v + c*v - 3*v. Let j(r) = r**2 - 5*r - 5. Calculate -j(p) + 6*l(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -33?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193406806 and 98082.\nAnswer: 10898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/407880 and -67\/13112?\nAnswer: 60774120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 9, 3 in increasing order.\nAnswer: -24, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 875*x - 1126. List the prime factors of t(11).\nAnswer: 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/20 and 79\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4 = 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2081*a + 3 - 5 - 98*a**2 - 155*a**2 - 1 - 2083*a to j + v*a + w*a**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w + 8*w - 12 - w + 6*w. Suppose 0*r + r - 2*l - 14 = 0, 2*l + 8 = 0. Is k(r) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/1 - -27336)\/2. Is (c\/1)\/((-4)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 8. Let v(g) = 4 + 0 - 5. Determine u(y) - 6*v(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*k + 2, -4*h + 4*k = -0*h - 8. Suppose h*w + 4*w = 35. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403 (base 7) to base 14\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 16. Suppose q + 1 = 2*q + r, -5*q + r = -z. Solve 0 = i - 3*s + 8, -q*s - 5 = 3*i - 29 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 6*c**2 + 7*c + 2. What is k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.4 + -12.4087. Round m to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-16) + ((-90)\/16)\/1 - -10. Solve 3*o + 2*u = y*o + 1, -4*o - 2*u = -26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwmmmmmmmwmwmmmwmm. What is prob of sequence mmmm?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + (sqrt(63) - (sqrt(4032)*2 + sqrt(4032) - sqrt(63))))*4*-2 + 1)**2.\nAnswer: 9504*sqrt(7) + 1951570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-85)\/20))\/((-1137)\/(-12507)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -210967, -5 in ascending order.\nAnswer: -210967, -5, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*c - 114, 6*c - 2*u = 8*c - 114. Calculate the highest common factor of 513 and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84071 equal to 84073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -560\/19, -4, -3 in ascending order.\nAnswer: -560\/19, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*z + 18 = -z, 24 = 4*d + z. Let h = d - 9. Let x = h + 9. Calculate the smallest common multiple of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 2*p + 68 = 0. Let d = 16.3 - 1.3. Let j = -11 + d. What is the second biggest value in -3, j, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g - 13938 = -16188 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 2 + -14 + (23 - 12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 17, 29, 43, 59, 77, 97?\n\"Answer: l**2 + 7*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddqdddddddddddddqdd. Give prob of picking 2 q.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 47*s**3 + s**2 - 2. Give n(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(11*(-8 - (-637)\/77)) - 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 4479\/11 - (-6)\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2 + 6. Suppose 0 = -2*q + n*l + 16, 3*l = q + 6*l - 12. Suppose 4 = -7*w + q*w. Solve -a + 3 = -w*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187877569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2 = n + n, 3*o - 4*n - 14 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Suppose -q*n = -2*n + 3. Does 11 divide 1008\/35 + n\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**3 - 2*p**2 - p - 1. Let o be (-2)\/(-6)*15\/(-5). Let w be j(o). Solve -3*v - 4*z + w = 0, -z + 6*z = 4*v + 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 278*n**2 + 235703*n - 372. What is t(-366)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 2131, -2, -0.4, -108?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -629.2 plus -40656?\nAnswer: -41285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 33 = 3*w + 49, -289*y - 1176 = 4*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17 = 3*h, -3*h + 18 + 7 = j. Solve j = s + 1 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose 5*j - 6*j = -6. Suppose -6 - j = -q*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/132 - 30\/(-8). Solve -2 = -y, j*t = -3*y - 6 - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2481992*v**3 - 24842200*v**2 + 222850*v - 500.\nAnswer: 2*(v - 10)*(1114*v - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1)\/(1\/(-2)). Let v(w) = 3*w**3 + 6*w**2 + 2*w - 2. Let s be v(x). Let k(c) = 6*c + 28. Give k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1199*q + 18. Let u(p) = 599*p + 10. Let t(v) = 4*b(v) - 7*u(v). Let z(l) = 2*l**2. Calculate t(z(h)).\nAnswer: 1206*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48366731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 23. Calculate the highest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123116296721 take away 0.08?\nAnswer: 1123116296720.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*-1*sqrt(204) + sqrt(204))\/(sqrt(972)*-1) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194.09 + 195. Let n = -0.597 - -0.687. Let j = w + n. Put j, 3, 1\/3 in ascending order.\nAnswer: 1\/3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 1 + 3*i + 2*i**2 - 2. Let x(r) = 13*r**2 + 12*r - 13. Let t(l) = 9*j(l) - 2*x(l). Let d be t(-3). Which is smaller: d or -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 - -16.9. Let v = o + -13.89. Let n = v - 0.10999875. What is n rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 553\/4 + -139. Sort -1, z, 3\/7, 0.04 in ascending order.\nAnswer: -1, z, 0.04, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -3*u - 1, 4 = -2*j - 2*u. Let m be 3 - ((-4)\/(-2) - j). Suppose 5*o = i - 0*i + 9, 0 = -4*o - 4*i - 12. Is o <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and 14\/21 + (-482)\/(-96).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 10*y - 12 = 0. Let c(k) be the third derivative of 0 - 2\/15*k**y + 1\/20*k**4 + 0*k - k**2 - 1\/150*k**5. Factor c(w).\nAnswer: -2*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -43. Put 0, f, -0.4, 1\/4 in descending order.\nAnswer: f, 1\/4, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -31337.\nAnswer: -1\/31337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 6*b**2 - 1. Let n = 9 - 15. Let t be g(n). Let j be ((-15)\/t)\/((-9)\/4380). Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5211179 divided by -5?\nAnswer: 5211179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2651867.709 to the nearest one thousand.\nAnswer: -2652000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 <= -22638\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -21. Calculate the remainder when 41 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-84)\/(-5))\/3)\/(3\/75). Suppose -3*w - 3*t + 105 = 0, -2*w + 4*t + f = 2*w. Suppose 4*y - 13 - w = 0. What is the remainder when 30 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/11, 2, 229825?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m + 2*z + 3*z, 3*z = -6. Suppose -9 = 3*a + 2*v + 8, m*a + 5*v = -20. Let f be ((-4)\/a)\/((-6)\/(-15)). Solve 4 = f*d + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456615, 913233, 1369837, 1826427, 2283003?\nAnswer: 2739565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + j**3 + 1\/2*j**4 - 3\/2*j**2 + 0*j.\nAnswer: j**2*(j - 1)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 5*h + 96. Let c be q(12). Solve c - 14 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyrcpl. What is prob of sequence pyr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -25*l**3 - 5*l**2 + 5. Let r(x) = -13*x**3 - 3*x**2 + 3. Determine -3*p(t) + 5*r(t).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-14)\/21)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + a + 51 = 0, -4*a + 51 = -3*q + 6*q. Suppose 16*g - q*g - 3 = 0. What is the third biggest value in 3, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*y - 70*y + 205*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.087 - 169.087. Let u = -165.96 - c. What is u rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11320231 - -210?\nAnswer: -11320021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7205000 and 685?\nAnswer: 987085000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from hyihyyhhhhihhhvhhmhh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 9 + 0)*(3*z + 0*z - 5*z)*(-3*z + 3*z - z).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -29. Solve -5*i = -5*p + p - 36, 2*i = 5*p + m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37027 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46769569 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 0, -i - 49 = -4*t + 2*t. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 137 + 4\/4 + 4. What are the prime factors of (-5 + 54\/12)*-1*i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1814 - -121?\nAnswer: -1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 77*o + 385. What is the lowest common multiple of 141 and n(75)?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 497 + -494. Put -6, r, -0.5 in descending order.\nAnswer: r, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 346, -136, 1 in decreasing order.\nAnswer: 346, 25, 1, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1128*j**6 - 157263*j**3 + 86*j**2 - 45*j + 1417.\nAnswer: -135360*j**3 - 943578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 6\/3)*(-12)\/48.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.005 (b) 0.5 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15 + 21125\/3*a**2 - 650*a.\nAnswer: 5*(65*a - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/23 - 16970744*w\/23 - 36000768989192\/23 = 0.\nAnswer: -4242686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:07 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 487*m - 29. Let t(l) = 1460*l - 88. Let u(p) = -3*t(p) + 8*y(p). Let f be u(13). What is the hundreds digit of f\/(-50) + (-2)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 173, 233, 293, 353, 413, 473?\n\"Answer: 60*t + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13159467.9 rounded to the nearest 100000?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16088*o - 1 + 4.\nAnswer: -16088*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14113 + -14116. Suppose -x - 12 = -4*x. Suppose x*o - 16 = -0*o. Put o, t, 5 in descending order.\nAnswer: 5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:13 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -2. Let g be 2*v\/4 + 16. Let o(y) = 106*y**3 - 1. Let m be o(1). Calculate the greatest common factor of g and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 - 39\/(-12). Suppose -4*l - 2 = -3*x - c, 0 = -5*l - 4*x + 9. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 388, 587, 792?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3264 = 11*w - 190. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3065 - 25709*o**2 + 3165 + 25556*o**2 to the form h*o**2 + f + s*o and give f.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*(-528)\/7128*(-5)\/3.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/90*-155 + 37\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2005*c**3 - 681400*c**2 + 57842500*c + 8670000.\nAnswer: 5*(c - 170)**2*(401*c + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 3*w + 3. Suppose 0 = 76*n - 83*n + 140. Let f(x) = 15*x**2 - 23*x - n + 2*x + x. Determine 3*f(a) + 20*z(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 258759, 1035030, 2328815, 4140114?\n\"Answer: 258757*s**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/480 and -47\/10416?\nAnswer: 104160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-4) - 3) + 2. Solve -15*d**t - 15*d**5 - 2*d + 36*d**3 - 9*d**2 + 9*d**4 - 4*d = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2*p**3\/3 + 1. Let i = 1 + -1. Let t(y) = -y - y - y + i. Give t(z(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -7\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3444938 divided by -206.\nAnswer: 16723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p + 116835 = 21*p + 18*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 96479*u**3 + u + 3*u + 3029*u**3.\nAnswer: 99508*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 6, 3, -2?\n\"Answer: -i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 = -3*f, -5*n - 2*f - 2*f + 3 = 0. Suppose 4*w - 5*d + n*d + 10 = 0, 0 = -3*d + 15. Factor 3\/5*h + w + 3\/5*h**2.\nAnswer: 3*h*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 3. Let a be k(0). Suppose -a*o + 6*c - 820 = c, -2*c = -10. Let f = 216 - o. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 5 - (-12 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(1573)*-1 - (3*sqrt(1573) + sqrt(1573) + 4))*-4*2*-1)**2.\nAnswer: -11264*sqrt(13) + 403712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52001\/469 - 945\/134. Let u = 118 + m. Find the common denominator of (-268)\/(-14)*1\/(-4) and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2581, -2498, -2411, -2320, -2225, -2126, -2023?\nAnswer: -1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 3\/(-1 + 4). Let r = w + -7. What is r rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*d + 300 = 0, 2*d = 5*y - 0*d - 375. Suppose o = 6*o + a - 45, y = 5*o - 5*a. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z - 3186448. Let p(c) = -3*c. Give p(y(j)).\nAnswer: 18*j + 9559344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1 + 0 + -2). Let i(v) = -1 + 2*v - v - o. Let l(s) = 6 - 2 + 0 + 1 - 2*s. Calculate -8*i(u) - 3*l(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -1007. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10992 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 1 - 12*a**3 - 6*a**2 + 2 wrt a.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379269387?\nAnswer: 3, 7, 1583, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/3 - 33886*d + 9981692\/3 = 0?\nAnswer: -50927, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 59 + 41 = 0. Let 114*c - 75*c**3 - b*c**2 - 179*c - 35*c**2 - 5*c**4 = 0. What is c?\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(1\/8))*l*l)\/l*l**(-11)\/l*(l**(-2\/93))**27 assuming l is positive.\nAnswer: l**(-2903\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 5336892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:11 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 11 = -x, 12*o + 4*x - 16 = 7*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7614 and 8366?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6)\/8 + (-46)\/184.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-10) - 544\/(-1440). Put -27, f, 5 in descending order.\nAnswer: 5, f, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 4*n + 23433780. Let l = n + -1298445. Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 10 - 32 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 5. Let x be l(5). Suppose -2*j = 3*j - 10. Let n be (-5)\/j*(-12)\/x. Solve -18 = n*b + 5*k, -4*b + 3*k + 0*k = 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r - 3. Calculate g(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261947\/21 + (-6)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -79.10648 and -2051.\nAnswer: -2130.10648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1527*l**2 + l. Let t be -2*(-2)\/4*1. Let x be f(t). Suppose 5*s + 443 = x. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**4*a*a)\/a*a*a**(-2)*a)**(-20\/9) assuming a is positive.\nAnswer: a**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:12 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.2664*-34.\nAnswer: -723.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2013 = 37*m + 1976. What is the closest to -1\/3 in 2\/11, 10, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-16 - (-8 - 36)) + 11 + -1 + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 206528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -6)\/(31858\/(-10616) - -3). Let i = j - -2115. Let c = 7078 + -127507\/18. Calculate the common denominator of c and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 4*q**2 - 3*q - 72131 + 12*q + 72134.\nAnswer: 4*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2982 - 2253 + 28*s + 995 - 110.\nAnswer: 28*s - 4350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31317 - 10445 - 10453 - 10451 - 9*d**2.\nAnswer: -9*d**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -17*z - 5. Let a(b) = b + 1. Let p be (-12)\/(-10) - (-155)\/(-775). Determine p*s(q) + 6*a(q).\nAnswer: -11*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 0.3, 0.\nAnswer: -2, 0, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(-3)*1\/(30\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*1\/(-2) - 5. Does 13 divide w\/(-4) + 77\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.48 - -0.08. Let y = h + 11. Let k = -2.4 - y. Which is the biggest value? (a) -4 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -30.000059. Round q to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o + 4*o + 6*o in the form t*o + c and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 4*n**2 - 8*n + 2. Calculate x(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 - -499. Let g(y) = s + y**2 - 166 + 5*y**2. Let c(i) = i. What is c(g(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - 5)\/((-2)\/2). Let y = s + -2. Solve -2*i = -l - y, -2*l = -i + 2*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + -3*sqrt(1008) + sqrt(1008)) + 4 + -3 + sqrt(1008) + 3 + 4 + -4)**2.\nAnswer: 864*sqrt(7) + 81664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 28*i + 5. Let w be d(14). Suppose 0 = -9*o + w*o + 764. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m**2 - 5*m + 9. Let n = 3 + -10. Let s = n + 0. Let i be r(s). What is i rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5674 + 5675.1. What is the smallest value in -1.7, 3\/2, s, 2, -2\/5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 68 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*d + 4*a + 265, 0 = -2*a - 10. Let j be (6 - 95\/10)*60\/d. Which is smaller: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 3*v + 0*v)*(-3*v**2 - 15*v**2 + 9*v**2) + (1 + v - 1)*(v**2 - 3 + 3) - 6*v**3 + 2*v**3 + 2*v**3 as h + i*v**3 + a*v + q*v**2 and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/20 + (-2)\/110. Which is the nearest to 0.1? (a) -4\/5 (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -840070 divided by 385?\nAnswer: -2182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -17979133613.\nAnswer: -17979133609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3806689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 15*f**2 + 18*f + 37. Let i be j(-16). Suppose -y + 20 = -4*n - 0, 0 = -4*y + i*n + 36. Let b = -10 - -16. Solve b*z = y*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2811762 rounded to two decimal places?\nAnswer: 10.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00477 and -3272.\nAnswer: -3271.99523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5\/2 + 3*t**4 + 33*t**3 + 24*t**2 - 63*t\/2 - 27 = 0 for t.\nAnswer: -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*j**3 + 242*j**2 - 198051*j.\nAnswer: 198*j + 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yylaylylyllmxayyylly. What is prob of picking 1 l and 2 y?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 2*q**3 + 0*q**3 + (3 - 3 - 12*q**3)*(3 + 0 - 1) + 14*q**2 + 3*q**3 - 14*q**2.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -26. Suppose o + 4*b = -2*o + 22, 4*o - b - 4 = 0. Suppose o*x = -5 + 27. What is the remainder when w is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 16. Let c be -2*(-231)\/(-2)*3\/k. Let q = -200 - c. Round q to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/196 and -151\/16104?\nAnswer: 789096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/7, -189.76, -2\/3, 86 in decreasing order.\nAnswer: 86, 3\/7, -0.1, -2\/3, -189.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k. Let j(v) = v**2 + 72*v + 51. What is j(w(s))?\nAnswer: 4*s**2 + 144*s + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2, j - 6 = 4*j + 3*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 + 3*k - k**2 - 1\/3*k**3. Let u be q(-6). Solve -2*s - 5*h + u = 0, 5*s - 4 - 4 = -4*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 5*z + 23, z + 56*l - 52*l = -19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2. Suppose -2*r = o + 27 - 33, 0 = 5*o + r - 3. Let n(x) be the second derivative of 0 - 1\/4*x**4 + 0*x**2 + o*x**3 - 3*x. Give n(m(c)).\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 + 1. Let c(f) = -19*f**3 - f**2 + 3*f - 10. Let k(d) = c(d) + 6*z(d). Let b(p) = -8*p**3 - p**2 + 3*p - 5. Calculate -4*b(q) + 5*k(q).\nAnswer: -3*q**3 - q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/9 - 55*v\/9 + 98\/3.\nAnswer: (v - 49)*(v - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let d = -1 - 0. Let i(a) = 13*a**2 - 3*a + 3. Let k(t) = -t + 1. Let x(o) = d*i(o) + 3*k(o). Give z(x(v)).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28200 = 13*l - 10*l. Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -5. Suppose -h + 3 = 5*q, 0 = 2*q + m*h - 4*h - 12. Let b be (-36)\/(-10) - (-4)\/10. Solve -b*x - 9 + 25 = q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -1799739.661?\nAnswer: 1799741.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11236 (base 7) to base 9\nAnswer: 3837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 14*k - 3*k + 63 = 13*k + 2*k, 114*v - 4*k + 99 = -83 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yohfhhhuhhhfoohof. Give prob of picking 1 o, 1 y, and 2 h.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 3*s - 7 = -3*q, 5*q + 5*s + 15 = 0. Factor -8 + 10*n**q - 8 + 9*n**2 - 27*n**2 + 36*n.\nAnswer: -4*(n - 4)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 439*q**7\/210 + q**5\/30 + 509*q**4\/6 + 972*q**2. Find the second derivative of b(p) wrt p.\nAnswer: 5268*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -17*p**9\/72 - 143*p**5\/60 + p**3\/3 + p**2 - 4. Find the third derivative of z(u) wrt u.\nAnswer: -14280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494 = -176*o - 150*o + 77*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + n**2 - n + 590. Is r(0) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41376081121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-66)\/(-8) - (-6)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 166\/(-34) + -6*21\/1071. Sort 18, 1, i.\nAnswer: i, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*v = -4 - 1, 5*a - 15 = v. Suppose -p - 2*f + 5 = -a*p, 4 = p + f. Let d = -2.74 - 0.26. What is the second biggest value in d, -1\/7, p?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 141 - 278 - j + j**2 + 135. Determine m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.96 - -1.64. Let h = 2.6 - w. What is the second smallest value in -0.1, 0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/16)\/((-154943)\/(-4)). Let l = q - -1461112913\/87387852. Let n = -26\/47 + l. Calculate the common denominator of 49\/10 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) 0.009 (c) 1 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2897243l to millilitres.\nAnswer: 289.7243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1498 and 11?\nAnswer: 16478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3743, -3766, -3805, -3860?\n\"Answer: -8*x**2 + x - 3736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p - 32. Determine h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4171390 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.85 + -0.15. Let k = -7.9975 - s. What is k rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 3:11 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*h**4 - 1307*h**3 + h**2 - 6118.\nAnswer: -696*h - 7842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1093745, 43 in decreasing order.\nAnswer: 43, 3, -1093745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, x: 6}. Give prob of picking 3 u.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13*b + 4. Let a(c) = 7*c + 2. Suppose 33 = -4*k + 9. Determine k*v(i) + 11*a(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r - 10, -730 = -3*n + 2*r. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 112*a - 112*a - 9*a**2 + (3 + 2*a**2 - 3)*(8 + 1 + 1).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, f: 2, u: 6, k: 2}. Give prob of sequence uudf.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) 2\/13 (c) -31\/4 (d) -0.1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h**2 - 9*h - 14. Is a(-8) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -101876.73582.\nAnswer: 101877.23582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -113*s**5\/4 - s**4\/6 + 4205*s**3\/6 - 86*s - 7. Find the second derivative of v(n) wrt n.\nAnswer: -3390*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5))**2 + 0 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from {c: 2, n: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.766 + -7.766. Which is the third smallest value? (a) 0.1 (b) 2 (c) n (d) 9\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**4 - n**3 - n**2. Let b(x) = 32*x**4 - 32*x**3 + 72*x**2 - 12*x. Let d be (0 - 2) + (12 - -10). Let y(r) = d*v(r) + b(r). Factor y(g).\nAnswer: 4*g*(g - 3)*(g - 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 3 = -18*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.19 from 572.44.\nAnswer: 572.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*q**4*w**2 - 2*q**4 - 26*q**3*w**2 + 229*q**2*w**2 wrt q?\nAnswer: 192*q*w**2 - 48*q - 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27528 and 496.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3144)\/(-8))\/1 + -2. Let y = k - 213. List the prime factors of y.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7749 + 8234.44. What is n rounded to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.03 (b) 0.5 (c) 0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grgrrrrgrrrgrrrg. Give prob of picking 2 r and 1 g.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from {x: 4, n: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 17*k**2 + 8*k + 3. Determine g(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4595 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -72. Let y = 32 - l. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48429 or 48436?\nAnswer: 48429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d. Let p = -73 + 363\/5. Suppose -s = 2*s - 3. Which is the nearest to p? (a) 2\/5 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/5 of a week?\nAnswer: 92736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 33*s - 23. Let m = 337 - 372. What is the units digit of h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 3*d + 3*d = 3*d - 48, -11*a + 5*d - 85 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9 - 34*b**2 + 2256*b + 2249*b - 4505*b. Let m(t) = -t**2 + 1. Let c(s) = j(s) - 7*m(s). Let r(d) = 3*d. Determine c(r(z)).\nAnswer: -243*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 3*a**2 - 3*a + 6. Let l be i(4). Let h = -6 + l. Solve -h*s + 10 = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from zninz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*q = -3522, -3*r - r + 5*q = -14103. What are the prime factors of r?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -689.435 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 4*y + 5. Give k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3\/7*v**5 + 0 - 2*v**4 + 5\/7*v + 2*v**2 - 8\/7*v**3 = 0?\nAnswer: -1, -1\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 23*z - 60 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gihdmght. Give prob of sequence ihh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -54. Let n = 25 + y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 22 = -2*j, b - 3*b = -5*j + 7. Let d(r) = b*r + 0*r - 8 - 5*r. Determine d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -132 and -21.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38325 = 3*k - 4*a, 27*k - 25*k - 2*a = 25550. What are the prime factors of k?\nAnswer: 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmm when three letters picked without replacement from zmmmrqmnmmmm.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 19*s - 11. Let o be v(10). Which is the nearest to -0.1? (a) o (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 6*g + 3*g - 3*g + 0*g + g + (5 - 2 - 1)*(3*g - g - g) + g - 2*g + 2*g + 781*g - 42684 + 42684)*(2*g - 3*g + 3*g).\nAnswer: 1562*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 12*x + 41. Let m be p(-12). Let n = 104 - m. What is the greatest common divisor of n and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -207, -406, -683, -1038, -1471, -1982?\nAnswer: -2571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -52. Let d be (6 + -6)*2\/m. Factor 1\/2*x**3 + d + 1\/2*x**2 + 0*x.\nAnswer: x**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -364\/471 - -79775\/48984. Find the common denominator of o and 31\/39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -2056.\nAnswer: -2055.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*c**4 - 12*c**5 - 50*c**4)*(1 + 0 + 0) + 3*c**5 + 4*c**5 - 5*c**5 + 4*c**5 - 5*c**5 + 0*c**2 + c**2.\nAnswer: -11*c**5 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(121)*1)\/(sqrt(11) + 1*sqrt(44)\/sqrt(4) + sqrt(11)) - (sqrt(165)\/sqrt(3)*-2)\/((sqrt(125) + sqrt(125)*1 - sqrt(125) - sqrt(125)) + sqrt(5)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1033774170 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeereerrrr. Give prob of sequence re.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -34*q**2 - 3*q. Let r(z) = 34*z**2 + 2*z. Calculate -3*r(a) - 2*y(a).\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9748316 minutes to nanoseconds.\nAnswer: 58489896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 342\/(-380)*(-1)\/9. Let n be 4*(1\/(-2) - -1). Sort 0, n, r.\nAnswer: 0, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7702 or 7706?\nAnswer: 7706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(2) + 5)*-6).\nAnswer: 24*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdpppphkh. Give prob of sequence dk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759084 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -9\/25, -0.8, -0.2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 22*o - 4*o - 20*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = -10*w - 75 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2. Let g be u(-4). Solve g*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3 = -3*q, -2*q = 9*r - 8*r - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 2\/107, -3, -366, 2\/7, 56?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142635 divided by 28527.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w - 10. Let i(f) = -24*f + 18. Let z(a) = 5*i(a) + 9*u(a). Let t(o) = -4*o - 42. Determine t(z(g)).\nAnswer: 12*g - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**4\/24 - g**3\/2 - 7*g**2 + 9. Let o be p(-8). Which is the nearest to -7\/5? (a) 2\/5 (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2764 + 3229. Calculate the least common multiple of 6 and d.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 + u + 6. Let k be t(0). Let a = -6732 + 6797. Suppose k*q = 11*q - a. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/8 + 4\/(-16). Let t = z + -6. Which is the third smallest value? (a) 0 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/20 + 10*x**2. Let m(v) = v**2. Calculate m(c(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61614.95 decades in months?\nAnswer: 7393794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**11)\/((m\/m**(-5))\/m)*m**(-21)*(m*m**(4\/7))\/m assuming m is positive.\nAnswer: m**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1173, -28, 0.1, -3\/2, 2\/3 in increasing order.\nAnswer: -1173, -28, -3\/2, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-15))\/(-9*24\/(-972)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3514571 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254463 is divided by 1988?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53327 is divided by 109?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 648.\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -71.54 - 2.4253\nAnswer: -73.9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2 + 250244020*m - 7827758693220050 = 0.\nAnswer: 62561005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1143003 - -2?\nAnswer: -1143001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -82, -117, -90, 17, 222, 543?\n\"Answer: 3*c**3 + 13*c**2 - 95*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(3*a**4 - 6*a**4 + a**4) - 3 - 2*a**4 - 2*a**4 + 7*a**4.\nAnswer: 11*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.95 + -0.05. What is the closest to -12 in k, -0.3, 0.7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -160, -4, 194, -2, 2 in increasing order.\nAnswer: -160, -5, -4, -2, 2, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g - 273 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44721.74ml to litres.\nAnswer: 44.72174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - (8 - (-9 - (7 - 29))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-3) + -5 + -1 - 234\/297.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584721936 is divided by 630768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxxd. Give prob of picking 2 x and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/4 + 21543817*q\/4 + 21543819\/2 = 0.\nAnswer: -2, 21543819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3130 = -6*j - d, -3*d - 9 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 5*o + 4. Let c be f(-3). Let b(g) = -g**3 - 2*g**2 + g + 1. Let s be b(c). What are the prime factors of -3 - -2 - (-16 - s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpmlppllmfmllmrplffr. What is prob of picking 1 f, 1 l, and 1 p?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07107403321 to six dps.\nAnswer: -0.071074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*f = -8, -4*l - 7 = -6*l - f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 91, 88, 77, 52, 7, -64?\n\"Answer: -f**3 + 2*f**2 - 2*f + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.5477 bigger than 7849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*-4*-1)\/(-2*sqrt(396)*-6 + sqrt(396)).\nAnswer: 14*sqrt(2)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 120, 462, 1038, 1848?\n\"Answer: 117*s**2 - 9*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3204.611 + 17.589. What is s rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -1) + 2115 + (-6 - -11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-8)*(-40)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/7)\/(21\/49) + -1. Let x(r) be the first derivative of r**3 + 0*r + 0*r**5 + 0*r**2 - 2 + m*r**6 + 0*r**4. Find the third derivative of x(g) wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888*t - 890*t - 3*n + 12 = 0, -11 = -5*t + 2*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -1 + sqrt(891) + 2*sqrt(11) + -3 + sqrt(11)))**2.\nAnswer: -5400*sqrt(11) + 41625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 21.716319190478?\nAnswer: -52.716319190478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -140442420 (base 5) in base 16?\nAnswer: -af695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2525*i**2\/4 + 1901305*i\/4 + 3765.\nAnswer: -5*(i - 753)*(505*i + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)*y*y**(27\/2)*y*y)\/(y**23\/(y**24\/y)) assuming y is positive.\nAnswer: y**(223\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20312130320 (base 4) to base 7.\nAnswer: -25502246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 358648848 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 319 + -189. Calculate the remainder when q is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.264 times -4.006?\nAnswer: 1.057584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171570.\nAnswer: 2, 3, 5, 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -706.21 + 710.2273. What is y rounded to 2 dps?\nAnswer: 4.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2145031*-5\nAnswer: -1.0725155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1768*u**2 - 42*u - 87. Is i(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -733, -5918, -20225, -48214, -94445?\nAnswer: -163478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 n when four letters picked without replacement from qqqqqqqqn?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 150.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 - (-144)\/40. Let p(i) be the first derivative of -i**5\/120 + i**4\/24 + 19*i**3\/3 - 26. Let u(s) be the third derivative of p(s). Determine u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1172598402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/4 - 375*x**3\/4 - 693*x**2.\nAnswer: 3*x**2*(x - 132)*(x + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31552109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -7) + (-2)\/4*2. Let r(f) = -2*f + 14. Let z be r(-18). What is the greatest common divisor of i and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2406\/8 + (-8 - (-33)\/4). Let t = 305 - h. Solve -3*r = -2*w - w + 3, -t*r = 5*w + 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*o**3 + 18 + 36*o**3 - 44*o**3 - 7*o**3.\nAnswer: -63*o**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2. Let t(u) = -7*u**2 + 0*u**2 - 8*u**2. What is l(t(h))?\nAnswer: -450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/7 - 118*y\/7 - 228\/7 = 0.\nAnswer: -57, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {g: 6, m: 3, a: 3, k: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (396\/(-8))\/9*-2. Sort p, 2, 3 in increasing order.\nAnswer: 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 644894762?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 6*f - 1. Let t be 5\/20*(-5 + -7). What is c(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.034, -2\/21, 2\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 107 = -43. Suppose -16*j + y = -11*j. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3547 (base 13) to base 7\nAnswer: 30565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089203 minus -442?\nAnswer: -1088761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 3*r**6\/40 + r**5\/4 + 59*r**2. Find the third derivative of z(b) wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 760 divide 642912880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73553102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1889097.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxz when three letters picked without replacement from {z: 3, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - n - 530 + 3228, 2*n + 4 = 0. Calculate the least common multiple of c and 18.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxdfxutt. Give prob of picking 1 x, 1 f, and 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 4.5?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -19*k + 22. Suppose u + 2*u = -3*w + 9, k*u = w + 9. Suppose 9*i - u*i - 3725 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:23 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**4 - 3 + 12*z**3 - 3 - 5. Let w(x) = -2*x**4 + 4*x**3 - 4. Let n(q) = -4*m(q) + 11*w(q). Suppose n(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/315*30*-49.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -3)*-1*2. Let c be (-61)\/k + (-6)\/12. Let a be c\/(-25)*(-10)\/(-39). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*l**5 + 95*l**4*s + 4*l**2 - 13028*s wrt l?\nAnswer: -10140*l**2 + 2280*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-2)\/(-2))*(-34)\/(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 1133 + 1286 = 2539 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2102 + -2095. Which is the second smallest value? (a) -13 (b) 5 (c) -2\/7 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183600 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(63))\/(-4*sqrt(20)\/sqrt(2) + sqrt(10)).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119554 + 36561 = -198*i + 57983. What is the remainder when i is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 63980424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18236802.\nAnswer: 2, 3, 3039467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 16 = -41*z. Which is the closest to 1? (a) -3 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**7\/30 - 5*f**4\/24 + 19*f**2\/2 - 4*f. Let g(q) be the first derivative of o(q). Find the second derivative of g(t) wrt t.\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*n + a, 221*a - 26 = -6*n + 216*a for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2\/(-2))\/1. Suppose -18 = -4*k + o, 4*m + 3*k = 159. Suppose 2*i - 4*b = 56, 2*i + 2*b - b = m. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((96\/(-900))\/(-8))\/(18\/(-60))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 302, 362, 456, 590, 770, 1002, 1292?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 482 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/8, 1\/10, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, -1\/8, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 0.3013?\nAnswer: 0.5013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 3*z + 1. Let l(m) = -m**2 - 2. Let u be l(1). Suppose 3*s + 9 = -4*j - 9, 3*s = j - 3. Let r(g) = -2*g. Determine s*w(a) + u*r(a).\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0*x)**(1\/53)*x**(1\/14)\/(x**9*x))**(-50))**28 assuming x is positive.\nAnswer: x**(735300\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1961 + 41*i**3 + 1961 + 55*i**3.\nAnswer: 96*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10000000000101011100 (base 2) to base 9\nAnswer: 878588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hihhhllhllhlhllhhhll. Give prob of picking 2 h.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5*g - 30, -3*f - 72 = 30*g + 32*g - 285 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 44.4568ng?\nAnswer: 0.0000444568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.99 + -0.99. Let r = -8 + 5. Which is the second biggest value? (a) 2\/15 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {p: 2, a: 4, w: 1, m: 1, h: 8}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2414693*-107\nAnswer: 258372151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + -7 - (0 - 6 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t = -34*t + 1733. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5206 is divided by 1590.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -2. Which is the second biggest value? (a) 0.04 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*k + 3*y + y, 2*y + 29 = -3*k. Let u = -11 - k. Solve u = -4*h + 3*s + 16, 5*s - 21 = -4*h - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161831 - 931759 = -58*w. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - 3*f**2 + 2*f**2)*(-5*f - 2*f - f)*(32 - 32 + 32*f) in the form n + a*f + z*f**4 + v*f**2 + q*f**3 and give z.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*o + 60*o + 18*o**3)*(0 + 4 - 5 + (-1 + 4 - 1)*(2 - 1 - 3) + 4 + 0 - 2 + 1 - 3 - 1) as h*o**2 + l + r*o + y*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -61.\nAnswer: 3.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*r**2 + 11 - 25 - 23*r**2 - 49*r**2 + 12.\nAnswer: -142*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12350 divided by 5.\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7808159?\nAnswer: 179, 181, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8942814*w**3 + 2*w**2 - 3*w + 299903.\nAnswer: 53656884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 4 (b) 0.1 (c) 10423 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*u**5 - 252*u**5 - 68*u**5 + (2*u**4 + 4*u - 4*u)*(-2*u - u + 2*u).\nAnswer: -373*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.6 smaller than 2.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4837.22 * 13\nAnswer: 62883.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10071187*d**3*j**2 + d**2*j**2 - 2*d**2*j - 115*d**2 - 116*d*j**2 - 5*j**2 wrt d?\nAnswer: -60427122*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*j + 75, -4*a - 65 = -5*j + 30. Let p = 7 + 3. Let c be 8\/a + 74\/p. Solve -5*l = 4*y + 3, -5*y + l - 4*l - c = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38788 - -38787.83551. What is v rounded to three dps?\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042*b - 942*b + b**2 + 383*b**3 - 4*b**2 - 84*b**3.\nAnswer: 299*b**3 - 3*b**2 + 100*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -22496420 to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*f - 35882 - 19148 - 492 = 48545 for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = -3*j - 3*x, 5*x - 10 = -5*j. What is the second derivative of 36*i + 5*i + 21*i**3 - i**j - 38*i**3 wrt i?\nAnswer: -12*i**2 - 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -452*h**2 - 467*h**2 + 953*h**2 in the form b*h**2 + q*h + c and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-3 + -2 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/60 + 13*b**4\/6 - 64*b**3\/3 + 13*b**2 + b. What is the hundreds digit of m(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -181764 less than -181748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1747, 3 in decreasing order.\nAnswer: 19, 3, -1747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w - 87. Let r be t(10). Suppose -r*m = 13*m + 5632. What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n + 115. Let z be v(-12). Let f = 62 + -43. Let m = f - 3. Put m, -2, z in increasing order.\nAnswer: z, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 100071839, 200143676, 300215513, 400287350?\n\"Answer: 100071837*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4030*b**4 + b**3 - 19410*b.\nAnswer: -48360*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1084119, -2168158, -3252197, -4336236?\n\"Answer: -1084039*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (46 - 1687)\/(6\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -13*m**2 + 1 + 12*m**2 + 1. Determine o(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 2, h: 2, c: 10, d: 1, w: 3}. Give prob of picking 1 h, 2 w, and 1 c.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 7947\/2 (c) -2\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 78*r**2 - 5*r + 3. Does 15 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + 4\/(-18)*33. Let n = -6\/7 + 11\/21. Which is the closest to n? (a) -0.4 (b) x (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4851 and 44\/1323.\nAnswer: 14553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -1.249 (c) 1 (d) -3 (e) -5 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3100588 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 989, 1053, 1189, 1421, 1773, 2269, 2933?\n\"Answer: 4*g**3 + 12*g**2 + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-1 + (6 - 5 - -13))) + (1 - 13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79220, 316872, 712958, 1267478, 1980432, 2851820, 3881642?\nAnswer: 5069898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 0*r + 1183914*r**2 - 3 - 1183024*r**2 in the form f*r**2 + q*r + t and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-8))\/(-5*(-13)\/(-130))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 53, -3, -0.07 in decreasing order.\nAnswer: 53, 4, -0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than 6\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 3*i - 2. Let t be g(-5). Suppose -t = -6*u + 8*u. Is (20\/30)\/(u\/(-114)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:56 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 6*b - 3. Let p(s) = -4*s**2 - 12*s - 7. Let w(q) = -5*l(q) + 2*p(q). What are the prime factors of w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.232648933 - -198639.221351067. Let l = 198856 - u. Let o = l - 216. Round o to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2416 - -40?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0396387 to 4 decimal places.\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(3\/9). Calculate the remainder when (-584)\/(-36) + (-2)\/9 is divided by (3*-2)\/(2\/l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.01, 1\/3, 1, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -470.6 - -859. What is b rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (8 + 16)) + (-43 - -39) + 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (12 - 0) + -33\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/585 and 89\/130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 28*u**3 + 1888*u**2 + 38652*u + 225720 = 0.\nAnswer: -33, -171\/7, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15533 is divided by 149?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003044601837 rounded to 6 dps?\nAnswer: -0.003045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235*o**2 - 6748 + 6748)*(o**2 - 4*o**2 - 2*o**2).\nAnswer: -1175*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 416615671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 106. Suppose -2*p + 6 = d. Which is the closest to 0? (a) -3 (b) 3\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 - y)*(2 + 2 - 6) - 5 + 5 - 3*y)*(-4*y - 6 + 6) to the form v*y + x*y**2 + p and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/144 and 139\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98814583352 + -0.3.\nAnswer: -98814583352.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(4*g - 2*g - g) + 59*g - 89*g + 2 + 1.\nAnswer: -28*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -983*o**2 + 46212*o - 55. What is j(47)?\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -836\/12569?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17351 (b) 58 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117404 greater than or equal to 117402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0*k**4 - k**4 - 3*k**4).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45306, 89615, 132934, 175269, 216626, 257011?\nAnswer: 296430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 15*j + 112. Suppose -q = 2*m + 2, 3*m = 4*q - m - 40. Suppose -q*n + j = -88. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1692937843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2 + 19*c**3 + 5*c**3 + c**2 - 2*c + 14*c**3 + 8*c**3. Suppose 18 + 14 = 2*x. Calculate the remainder when i(1) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 495 + -478. Let t = b + 191. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311357405*s**2 + 368539080*s wrt s?\nAnswer: -622714810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*4*(-2)\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**4 - 8*a**3 - 30*a**2 - 32*a - 1. Let j(i) = -i**4 + i**2 + i - 1. Let z(u) = 3*h(u) + 24*j(u). Factor z(s).\nAnswer: -3*(s + 1)**2*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21954, 43405, 64856, 86307, 107758, 129209?\nAnswer: 150660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3506111 - -6211?\nAnswer: 3515322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 1, 431, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + a + 1. Suppose -3*u - 60 = 30. Let p = u + 31. Let h(y) = -y**2 - y + 1. What is p*h(v) - x(v)?\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1758227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 9) in base 15?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*u - 31 = -5*u, -c = -5*u + 13. Let h be 6\/27 + (-86)\/c. Suppose 33 + 77 = h*t. Calculate the smallest common multiple of t and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 20 = 24*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*j, -p = 2*j - 1 - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 233, -26, -553, -1438, -2771?\nAnswer: -4642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (24\/15)\/(80\/(-25) + 6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r + 16*r + 49 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/3 - 4*a**2 + 232*a\/3 - 160.\nAnswer: -4*(a - 4)*(a - 3)*(a + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3 - 108*b**2 - 3 + 209*b**2. Let t(p) = -2*p. Give u(t(y)).\nAnswer: 404*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let q = 4 + c. Let f = q + 1. Solve -f*m - 2*m + 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from uaauaaauuuauna.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 570*y + 3344. What is u(-5)?\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 895 divide 5027573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 124460?\nAnswer: 1991360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 7*s - 6. Let w be (-15)\/25 - (-33)\/5. Let k be n(w). Which is the closest to k? (a) -2\/11 (b) -0.4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153354 and 3111?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*g + 20401 - 20529. What is the remainder when 1071 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1479 from -3098178.\nAnswer: -3098177.8521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0*d - 36. Let s be ((-4)\/(-3))\/((-3)\/d). Suppose s + 10 = 2*w. Solve 5*c = 4*q - w*q - 25, 0 = -3*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, o: 1, u: 2, j: 1, i: 1}. What is prob of picking 1 a and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3598 and 4417033.\nAnswer: 4417032.6402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1451 - -39185\/27. Calculate the common denominator of 121\/12 and c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Let r = a + -3. Suppose -5*t - 20 = 0, r*t - 6*t - 54 = -2*v. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002121 + -11?\nAnswer: 1002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, 33668 in increasing order.\nAnswer: 4, 30, 33668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52575318 and 30.\nAnswer: 262876590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 334*r + 5. Let p(x) = 468*x + 7. Let z(u) = 14*b(u) - 10*p(u). Let n(a) = -2212*a. Determine n(z(j)).\nAnswer: 8848*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9540)\/848*(4\/30)\/(161\/(-414))?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -31 - 40 - 15*l - 26 - 66 - 14*l. Give t(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291045788 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/13616923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-148)\/(-28) + 2\/(-7). Solve 4*c - 3*c = o*d - 17, 2*c = d + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1033, 578 in ascending order.\nAnswer: -1033, 3, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9401216*f**3 - 2294806*f wrt f?\nAnswer: 56407296*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2*104*138\/2576?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 - 0) - -4 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010100 + 10?\nAnswer: 101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243 + -246.18. Let u = t + 3.58. What is the third biggest value in 3, 2, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/35 and 4790\/5200 + 4\/26.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11221231222 + -13?\nAnswer: 11221231203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -10 - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10343*n - 136 - 5142*n - 5164*n in the form c + o*n and give c.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 12*a**2 + 30*a + 12. Calculate q(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33459\/37 - -905. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -39*k + 2416. Let q be u(60). Calculate the greatest common factor of 2774 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36038, 2, -1 in descending order.\nAnswer: 36038, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12160371.\nAnswer: 3, 4053457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(65 - 65 + 152*d)*(1 - 2 + 0) as w + y*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -147*d + 135*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**3 - 372*k**2 + 1822*k + 95. What is x(5)?\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 3. Let y be u(6). Suppose q + 0*q = -2*p - 4, q = -2. What are the prime factors of p - (y\/3 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let g(z) = 2*z**2 + z - 620447. Calculate y(g(s)).\nAnswer: 4*s**2 + 2*s - 1240894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1678 + 1934.8. Let m = p - 257. Sort m, 6, 3 in decreasing order.\nAnswer: 6, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -657.\nAnswer: -5\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8938 + -7405. Is 73 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (740\/30)\/(16\/(-9) + 2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/11333 and -59\/4857?\nAnswer: 33999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 633\/5 - 126. Let b = k - 76\/135. Let c = -19\/27 + b. Is 0.7 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 437*i = 442*i - 10, -5*y + 10*i + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 2*n)*(-2*n**2 + 3*n**2 + n**2) + (-n + n + n)*(3*n**2 + 0*n + 0*n) - 6*n**3 - 4094 + 4094 - 10*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 7*o**4 + 6 + 16*o**4 + 4 - 2*o**2 as w + y*o + i*o**2 + f*o**3 + l*o**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2005 - 1.53597?\nAnswer: -2006.53597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-2*-5)\/sqrt(8))\/(sqrt(294) - -6*sqrt(294)*3).\nAnswer: 10*sqrt(5)\/133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5484 (base 9) to base 12\nAnswer: -2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*g*t**4 + 25*g*t**3 - 4*g*t - 31*t**3 + 3*t + 297134 wrt t.\nAnswer: 1524*g*t**2 + 150*g*t - 186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4420204 (base 5) to base 10.\nAnswer: 76304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*4\/((-80)\/2965). Suppose 5*l - g = -4*h, -5*h + 186 - 685 = -4*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288736 - -45016. Is (-6)\/(-75) + a\/(-375) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-48694)\/(-20))\/1*10\/12. Let k = -2027 + z. Find the common denominator of k and 0 - 1\/(16\/(-106)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 5. Let k(d) = -3*d + 6*d + 14 + 24 - 27. Let v(m) = -3*k(m) - 5*q(m). Differentiate v(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 != 7179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**2)\/((g**(1\/8)*g)\/(g\/(g\/(g\/g**2))))*(g\/g**0*g*g**1)\/(g**(2\/7))**32 assuming g is positive.\nAnswer: g**(-295\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 35.5. Let r = p - 3.5. Put -0.1, r, 2\/3 in increasing order.\nAnswer: r, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 931262\nAnswer: -5\/931262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 9*x**2 - 22*x + 3. Let j be d(-11). Suppose 3*n + n = -j*n. Solve n = 2*f + 3 + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 28. Give l(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12*6)\/((-18)\/180*5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 41.92. Let u = w + 0.08. Let o = u - 6. Which is the closest to 0.1? (a) -0.4 (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-4)*18\/3. Let q = -43 + g. Let j be 10\/q*(-48)\/30. Solve -3 = 3*f - o - 3*o, j*o - 2 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 0*t**4 + 0 + 0*t**2 + 5\/2*t**5 + 5\/2*t.\nAnswer: 5*t*(t - 1)**2*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*y)*(0*y + y + 0*y) + 1273*y**2 + 3643*y**2 + 677*y**2 + (y - 3*y + 3*y)*(0*y - y + 3*y) in the form i*y**2 + f + c*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53213 is divided by 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 2, s: 2, n: 2, v: 1, c: 1}. What is prob of sequence nc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -26*w**2 + 23*w - 79. Give x(3).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {j: 2, u: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50902 and 3177179.\nAnswer: 3228081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*s = 169, -5*i - 280 = 2*s + 3*s. Let z = 137 - 285. Let k = i - z. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 47146504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/3619 at least as big as -4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*j + 39704, 2*j = -101*r + 99*r + 19848. Is r less than 9928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*k = -0 - 1, -5*d + 55 = 4*k. Let x = d + -3. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 4. Let d be z(0). Let u = 0.18471 + 0.21529. Sort -0.02, 0.5, d, u in decreasing order.\nAnswer: 0.5, u, -0.02, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -50 - 1) + -86?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (252\/6930)\/((-4)\/(-10))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2. Let m be t(1). What is the greatest common divisor of m and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.072918 and -62.022124?\nAnswer: 62.095042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 722 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + l - 68 = 0, 0 = 5*c - 3*l - 103 - 205. Let u(x) = 26*x**2 - 11*x + 10. What is the remainder when c is divided by u(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d38 + -5?\nAnswer: d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/17, 4, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -10240324?\nAnswer: -10240322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11222011100 (base 3) to base 8\nAnswer: 277013","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-173 + 174)*(-40 - 0). Which is bigger: i or -50?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 20*x + 16*x + 9*x - 44*x. Let l(v) be the second derivative of 119*v**3\/2 + 11*v - 7. Calculate g(l(k)).\nAnswer: 357*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 + -4 + 6). Let x be (5\/15 + p)\/(2\/(-6)). Do x and -2\/1081 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 25*v - 23*v - 3*o, 5*o - 3 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4237 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/2299 - -4572\/29887. Which is the nearest to 0? (a) -13 (b) t (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -7, -3, -1, -9, 26.\nAnswer: -9, -7, -3, -1, 9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**3\/2 + u**2 - 16*u. Let q(d) = d**3 + d. Give 3*q(j) - r(j).\nAnswer: 3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 - 791540*r**2 - 5*r + 791540 = 0.\nAnswer: -1, 1, 158308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102389*i + 446080 = -95829*i for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-705248)\/224 - 12\/(-28))*1\/(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1296\/192*(-8)\/(-6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**7\/8 + 89*c**6\/40 - 297*c**5\/40 + 19*c**4\/4 + 5*c**3 + 2*c + 36. Find f, given that u(f) = 0.\nAnswer: -2\/7, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/204 - 3\/(-18). Let z = 11\/15 - 1\/15. What is the nearest to r in -3, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*f*l**2*z + 4*f*l**2 - 1653*f*l*z + 3*f*l - 43*l**2 - 71*l with respect to z.\nAnswer: 34*f*l**2 - 1653*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t**3 + 23118*t**2 + 16698420*t - 4176050.\nAnswer: 2*(t + 1445)**2*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j - 4*d = 1, 0 = 5*j + 2*d - 19. Let o be (-2)\/(-7) + 65\/42. Do j and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -2.5. Suppose -8 = -4*d + 2*d. Let v be 8\/18*(-1 + d). Which is the second smallest value? (a) v (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 282, 619, 1088, 1689?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, o: 2, v: 3, d: 1}. Give prob of picking 1 v and 1 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - -43. Suppose -3*n = -2*n - l - 65, 5*l = -n + z. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(-1\/4)*i)**(-44))**(-23))**(-11\/8))**(1\/42) assuming i is positive.\nAnswer: i**(-30613\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**3 - r + 1. Let g be x(1). Find m, given that -4*m**2 - 27*m + 3*m**3 - g - 21 - 4*m**3 - 5*m**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 0. Let o = -0.04001 - v. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 28*m + 464 = 0. Let z = m - 237. Put 0, z, 4, -3 in decreasing order.\nAnswer: 4, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5824 divided by -25790.\nAnswer: 2912\/12895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667795 is divided by 2204.\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378321222.4 less than 1.9?\nAnswer: 1378321224.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 435836.9 weeks?\nAnswer: 3050858.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(-4*i + 2*i + 3*i)*(-164*i**2 + 164*i**2 + 4*i**4) - 4*i**5 - 2*i**5 + 4*i**5.\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 261 and 1726.3?\nAnswer: 450564.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o - 23. Calculate j(-5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-14)\/(-4)) + 1. Suppose -4*y - 3 = -3*w, -15 = y + 3*y + w. Which is the nearest to y? (a) 2 (b) s (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 1 + 2 - 1. Let o(i) be the second derivative of 0*i**2 + 0*i**3 + 0 + 1\/4*i**4 + 7*i. Give y(o(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18 + 26 - 5*b - 21. Let u be q(-4). Are 7 and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381720 is divided by 1094.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 54 = -35*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 37 = 3*x, -x + 5*x - 37 = -s. Let f = 90 - s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**3 - 2*f**3 - 13*f**2 - 2*f**3 + 2 - 4*f**3 as h*f**3 + b*f + c*f**2 + y and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91839634?\nAnswer: 2, 89, 457, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2)*(5 + -1). Let k be (12\/a)\/((-6)\/(-16)). Is 4 a factor of (-1)\/k - 31\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107238633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 11*q + 42. Let o(v) = 13761*v - 219. Let i be o(q). Round i to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 7*j + 16 = 0. Suppose 2*k - 14 = -u - k, 2*u + 17 = 3*k. Calculate the smallest common multiple of j and -4*(u + (-2)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.6599 litres in millilitres?\nAnswer: 55659.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 14 = 4*r - i, 0 = -5*i + 10. Let k(o) be the third derivative of 0*o**3 + 1\/12*o**4 - o**2 + 0 + 0*o. Give k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -821790.59574 - 1.\nAnswer: -821791.59574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.88 - 0.68. Suppose 17 = -5*c - 2*z, 0 = c + 2*z - 0*z - 3. What is the nearest to i in c, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-101)\/(5 - 42\/9). Let s = v - -327. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46222 - -8088916\/175. What is the common denominator of i and -57\/385?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2 - 391*n\/4 + 49\/4 = 0?\nAnswer: -49, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-812)\/5 + 372\/(-620). Let r = -2551\/846 + 66\/47. Find the common denominator of (-11)\/66 - (-381)\/k and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let m(i) = -8*i + 3. What is 2*h(q) + m(q)?\nAnswer: -6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7557047 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/9 + 1)*-17859.\nAnswer: 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*g + 9 = 2*c - 233*g, -3*c + 13 = -161*g + 156*g for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61802101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 + -159. Calculate the remainder when y is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6*(-3)\/(-2). Let f(z) = -4 - 3 + z + 1 + i. What is f(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 926 = -870. Suppose -z = -3*z + 4. Sort -1, u, z in ascending order.\nAnswer: u, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 88*w - 46. List the prime factors of t(-8).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 5*j**2 - 8*j - 5. Let u be f(-6). Let a = 44 - u. Suppose l - 2*l = -a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 14*l**2 + 4. What is the units digit of s(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 - (-182)\/70. Solve k*z + 15 = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7417 (base 9) to base 7\nAnswer: -21604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -35*b**3 + 0*b**2 - 128*b**3 - b**2 + 1. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 142*z**2 - 3*z - 157. List the prime factors of m(19).\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a*a**(-11)*a)\/a)*a**(-4\/7))\/(a*a**(-16)*a**10))**(-1\/55) assuming a is positive.\nAnswer: a**(-94\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14894 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2181 + 1532 + 2115)*(5*x - x - 2*x).\nAnswer: 11656*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273880 or 273898?\nAnswer: 273880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) 18 (c) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ckvvvovooc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -433272, -866546, -1299820, -1733094, -2166368?\n\"Answer: -433274*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m + 3 = 0, m = u - 449. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1447345832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*j - 19 = -5*y + 817*j, 0 = 2*y - j - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-2)\/12). Let s(r) = -3*r. Let f be s(k). Are 7 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k + 53*k + 12479 - 117353 = 0. What are the prime factors of k?\nAnswer: 3, 7, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 + 1 - l - l**3 + l. Let m be i(-7). Let k(q) = 1. Let f(j) = 2*j**3 + j**2 - j - 5. Calculate m*f(b) + 5*k(b).\nAnswer: 2*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 18 + 64 = 5*g, 0 = -g - 5*w + 23. Let b(m) = -m - 7. What is the smallest common multiple of g and b(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*s = -10, -l - 65*s + 7 = -62*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 103*r**2 + 5668*r - 55. Determine g(-55).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 20, 216 in ascending order.\nAnswer: -37, 20, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -5*j + 26, 5*n = 4*j - 15. Let p be (24\/j)\/(21\/70). Find the second derivative of s + 2*s**2 + p*s - 6*s + 8*s wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 - 275412*h + 9481471218 = 0.\nAnswer: 68853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*a - 7, 4*o - 5 = -4*a - 1. Let l(m) be the third derivative of 2\/3*m**3 + 0 + 0*m - 1\/12*m**4 + 4*m**2. Give l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49902 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253 - 249. Suppose 1245 = q*c + n, -4*c + 1235 = -3*n + 2*n. List the prime factors of c.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*c + 34, -5*m - 5*c + 21 = -4. Solve 0 = -v - j + 2, v - m = 5*j + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*v + 2*y, 3*v - v - 10 = -y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 3. Let i(q) = -q**3 - q - 8. Let f(j) = -3*h(j) - i(j). Give f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/40 + 309*i**5\/10 - 1233*i**4\/8 + 308*i**3 - 1606*i**2 + i. Factor h(p).\nAnswer: -3*(p - 616)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**3 - 305*h**2 - 80*h - 65. Give g(28).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-4626))\/((7 + (-385)\/66)\/35). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*u - 1655 + 1631 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vne when three letters picked without replacement from {u: 2, v: 2, n: 1, e: 1, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101\/(11918\/1239) - 2576\/(-96).\nAnswer: 112\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r + 15*r + 1 - 1 to f + j*r and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.8. Let m = 12850\/3 + -4282. Which is the nearest to i? (a) 2\/3 (b) m (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n - 5*n = 273 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 42*j - 3524*j**2 + 3524*j**2)*(0 + 3 - 4).\nAnswer: -2*j**3 - 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1315)\/45 - 2\/(-9). Let i = 43 + r. Calculate the lowest common multiple of 16 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 161.\nAnswer: 161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b - 1?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6) + (-29)\/348)\/(25\/(-280))\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let l(z) = -71*z**2 - 4*z. Let s(g) = -7738*g**2 - 438*g. Let d(o) = -219*l(o) + 2*s(o). What is d(p(w))?\nAnswer: 292*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0327861879 rounded to 5 decimal places?\nAnswer: 0.03279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(192) + 3 - sqrt(192)) - (sqrt(192) - -4*(sqrt(192) + sqrt(192)*4) - sqrt(192)))*1)**2.\nAnswer: 640*sqrt(3) + 76804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 22*a**2 - 10*a - 8. Let h(x) be the first derivative of 23*x**3\/3 - 9*x**2\/2 - 9*x + 6. Let d(f) = -4*h(f) + 5*n(f). Solve d(r) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*1\/(-3)*-9. Suppose 3*n - 6 = 0, -6*v = -k*v + 4*n - 8. Solve 2*t + 5*m - 21 = 0, t - 7*m + 2*m + 12 = v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6675 + -6675. What is the fourth biggest value in 0.9, 2.46, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33728, -33889, -34050, -34211?\n\"Answer: -161*h - 33567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11240 divided by 2248\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 501525 and 5400.\nAnswer: 4012200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/2)\/((-3)\/6). Let u be (-1)\/4 - (-315)\/12. Solve -3*v = c*z - u - 0, 5*z = -v + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 4385751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-9)\/9)\/((-9)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -246 - 78. Suppose 13*i - 4*i - p = 0. Calculate the smallest common multiple of i and (0 - 6)*(1 - (2 + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*d - 8386, -8 = -4*d + 6*d. Let h be j\/(-14) + -1 - 12\/42. What is the greatest common divisor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9512, 19024, 28536, 38048, 47560?\nAnswer: 57072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**7\/42 - g**5\/15 - 4*g**2. Find the third derivative of h(y) wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1. Let m(x) = 2*x**2 + x + 3. Let o = -23 - -3. Let c = o + 11. Let s = c - -7. Calculate s*i(p) - m(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)*-3)\/sqrt(3))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 366*l + 284. Determine i(369).\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41497 from -3.15.\nAnswer: -41500.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 + 8472*h**2\/5 + 18558*h\/5 - 5408 = 0. What is h?\nAnswer: -845, -16\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -36, -62\/5, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*((-13)\/2 - 1). Let s be 5 + (-3 - -3 - 0). Suppose -3 + 2 = r, -4*w + s*r = -45. What is the highest common factor of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 1\/4, 0.1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 188*o**3 + 368*o**2.\nAnswer: 2*o**2*(o + 2)*(o + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + 2*sqrt(153)\/sqrt(3) + 3*sqrt(51)*-4)\/((5*sqrt(675))\/sqrt(9)*-4).\nAnswer: 9*sqrt(17)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -95.5. Let q = -68 - x. Let z = 0.81 + 4.19. Put -0.4, -3, z, q in descending order.\nAnswer: z, q, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 - 2)*(0*n**2 + 2*n**2 - n**2) - 1 - n**2 - n**2 + 0*n**2 to b + m*n + u*n**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 - -427. What is the remainder when c is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*b - 4*v - 111, -2*b - v + 1 = 2*b + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111444021 (base 6) to base 2.\nAnswer: -111110010110111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.2222 millilitres to litres.\nAnswer: 0.0782222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160740926.\nAnswer: 2, 179, 448997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 - 8832*f**3 + 6517992*f**2 - 25966080*f + 25930800 = 0.\nAnswer: 2, 1470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 2*n - 3. Let z be i(0). Let q be 9 + -5 + (-60)\/z. What is q rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -5*v - 8*u + 1, 5*v = -3*u + 8. Which is the nearest to 1\/3? (a) 3\/10 (b) v (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 3*p - 3*p**2 + p**2 + 3*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 2*w - g, 2*w = -4*g - 31 + 135. Solve -10 = 18*y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 277 = 169. What is the remainder when 381 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (25 - (16 - 8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2276802 divided by 18.\nAnswer: 126489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1420 = 4*n + 6797, 0 = 5*n + 5*h + 10260. Let l = -3052 + n. Let y = l - -10020. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s + 6. Let l(i) = i - 3. Let p(k) = 2*l(k) + q(k). Let m(g) = 0*g + g + 0*g. What is p(m(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (11 + -3)\/4. Suppose -i - 1083 = -m*i - x, i = -x + 542. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310819, 314121, 317423, 320725?\nAnswer: 324027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 98*(-2 + 6\/(-4)). Let i be 0 + ((-5244)\/(-16) - (-48)\/(-12)). Let g = i + n. Calculate the common denominator of g and 59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192369 = -8*v + 533433. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (10 - 4) + -3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5119\/99 + 625\/11. Calculate the common denominator of o and -49\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - (3 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1254 and 3933.\nAnswer: 86526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 2 - 5)*(0 + 1848*z - 10 - 1815*z).\nAnswer: 825*z - 250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -183\/16580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(((b**(3\/5)\/b)\/b)\/b*b)))\/b)\/(b**36\/b)*(b**(-20)\/b)\/b*b*b**(-1\/4))**(-17) assuming b is positive.\nAnswer: b**(19941\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 5*h - 10*h + 3 + 4*h**4 - 18 as y*h**3 + n*h**2 + p*h**4 + v + x*h and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 62*r**3 - 31*r**2 + 976*r + 5. Let l(t) = 434*t**3 - 224*t**2 + 6834*t + 36. Let b(p) = 2*l(p) - 15*u(p). Find the second derivative of b(c) wrt c.\nAnswer: -372*c + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:04 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533939144 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/11? (a) -62 (b) -5 (c) 0.5 (d) -950\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5413435?\nAnswer: 5, 41, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*l - 12 = 4, 5*z + 2*l = 28. Solve -z*g - 6 - 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -144370, -4, -1, -7\/4, 5 in decreasing order.\nAnswer: 5, -1, -7\/4, -4, -5, -144370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2473\/16 + -625\/4. Find the common denominator of 2 + -2 - 104\/(-6) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 254*z\/3 + 1516\/9.\nAnswer: 2*(z + 2)*(z + 379)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 3:17 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 5 - 2 - 15*l to the form o*l + c and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -574, -829, -484, 761, 3206, 7151, 12896, 20741?\n\"Answer: 50*i**3 - 605*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29472?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:55 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 20*a**5 + 21802*a**4 + 5810420*a**3 - 71512016*a**2 + 205311416*a + 21252070 = 0.\nAnswer: -551, -1\/10, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 - 2*d**4 + 0*d**4 - 2*d**2)*(-10845*d - 1075777 - 11031*d + 1075777).\nAnswer: 43752*d**5 + 43752*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10032)\/988)\/((-96)\/416)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 0, 43*j - 38*j - 151815 = 3*h. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 5 - 5 + (-3 - 2 + 4)*(1 - 1 + m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-10) - (-12)\/(-30). Let i be -2*4*a\/4. Let p(k) = i*k - 6*k + 4*k**2 + 3 - 1. What is p(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3320)\/(-4))\/5 - -2. Calculate the greatest common factor of 42 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 8. Give s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = l - 690. Suppose -2*o - 2*s = -2082, 5*s - 4*s + 3119 = 3*o. Suppose -l = -5*v + o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 535.4 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.16\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/43220208 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 3*b**3 + 2*b**3 + (-3*b**2 - b**2 + 2*b**2)*(b + b - b) + 13*b**3 + 43*b**3 + 17*b**3 - b + 5*b - 2*b**3 + b**3.\nAnswer: 71*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**2 + 0*d**5 + 0 + 1\/2*d**3 + 1\/6*d**4 - 1\/120*d**6 + 0*d. Let m be g(-2). Solve -18 = 4*l - 5*q, 6*q - 3*q = -m*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + j + 5. Let d be c(3). Which is smaller: d or 36?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/27 + 4)\/((2 - 1)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -55, 2, -201 in decreasing order.\nAnswer: 2, -1, -55, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.424 + -0.024. Round h to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4565 and 415.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roorrrierrco. Give prob of picking 2 r.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -3. Let j = 13.996 - y. What is j rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/96 and (-1)\/((360\/(-141))\/(-3))?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/504265 and 49\/10.\nAnswer: 1008530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 62*p**2 - 4*p + 12*p + 0*p + 0*p - 13*p**2.\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 63*m - 626. Suppose 2*k - s - 25 = 0, 46*k + 25 = 51*k + 5*s. Let r be l(k). Factor -3\/4*h + 0 - 3\/2*h**3 + 25\/8*h**2 - 7\/8*h**r.\nAnswer: -h*(h - 1)*(h + 3)*(7*h - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.99533 - 0.00467. Let o = -0.1 + -0.1. What is the closest to 0 in 1, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/175 and -43\/5?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1075530894 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -32*p**2 - 519*p - 4. Calculate i(-15).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**5 - 22925*x**4 + 28592930*x**3 + 3355305670*x**2 - 17458513903015*x - 17461840592825 = 0.\nAnswer: -655, -1, 1747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 5. Let m be n(6). Let q be m\/1 + 10\/8. Let u = 1.36 + -0.86. What is the smallest value in -5, u, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -z + 94, 3*d - 16 = -5*z + 111. Let r = 47 - d. Let i be 6\/(r - -4) + -3. Solve 5*w + 19 = -2*y, -2*w - 3*y + 7*y + 2 = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z**2 + 17*z - 72. Give g(3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014025614 rounded to six dps?\nAnswer: -0.014026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*s**3 - 880*s**2 + 2908*s + 40 = 0.\nAnswer: -5, -1\/73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1976*a**6*w**2 - 256*a**6 + 2*a**2*w**2 - 2661*a*w + 48*a wrt a.\nAnswer: 237120*a**3*w**2 - 30720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7 and -155\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22582 or 20590?\nAnswer: 22582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 21700, 16, 2 in increasing order.\nAnswer: -3, -2, 2, 16, 21700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -817.8 and 1.33.\nAnswer: -1087.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4250 - -7937. Let n = 39687 - w. What is n rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 19. Give p(-12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/84 - 0)\/(-1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20060000 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -276.0183 + 0.0183. Let t = y - -277. Which is the nearest to t? (a) 0.06 (b) 0 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74166 or 74163?\nAnswer: 74163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1611*g**2 - 112*g - 12. List the prime factors of p(4).\nAnswer: 2, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51187128703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10957060*j**2 - 8215418?\nAnswer: 21914120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**5 + 401*z**2 - 3710*z?\nAnswer: -40*z**3 + 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 8*n**2 + 17*n + 2. Let r be w(-5). Calculate the remainder when (-2*(0 + 1))\/(r\/224) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -52*o + 50 + 5*o - 19 + 36. Let n(w) = 24*w - 33. Let v(z) = -13*n(z) - 6*x(z). What is the derivative of v(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37579525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1807570, -1807609, -1807688, -1807819, -1808014?\nAnswer: -1808285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54f + 21f?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 70727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3241342 + 112?\nAnswer: -3241230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2\/5)\/(5\/(-50)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + -2)**2 - ((sqrt(5) + -2 - sqrt(5))**2 + 5)) + -2*4*sqrt(405).\nAnswer: -116*sqrt(5) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 11*p - 1. Determine a(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/192 - i**7\/252 - 23*i**4\/24 - 5*i**2. Let q(v) be the second derivative of b(v). Factor q(x).\nAnswer: 5*x**2*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 309 + -369. Let a = w + 73. Let d be 26*22\/(-4)*-1. What is the highest common factor of d and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:31 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p = -y - 61, 5*p + 5*y = 75. Let d = 31 - p. Suppose -16 = -4*f + 4*c, -3*c - d + 2 = -f. Solve f = -3*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153467 (base 8) to base 15.\nAnswer: -114d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 3.2. Let x = -16058 + 16057.7. What is the third biggest value in x, j, 9, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.062 (b) -0.4 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - t - 2*t)*(5 - 4 - 2)*(53 - 26 - 67) to p + a*t and give a.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 - 64*c**4 - 1110*c**3 - 2956*c**2 - 2833*c - 924 = 0. What is c?\nAnswer: -33, -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 46*m**3 + 8693*m**2 - 8938*m - 1535. What is w(-190)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/22 and -1\/412450?\nAnswer: 4536950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*a + 160 = a, 0 = 2*j - 3*a - 162. Let q = j - 39. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9803081.\nAnswer: 9803081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, a: 4, h: 1, z: 3}. Give prob of picking 1 h and 1 r.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*y + 45 = 0, y - 2*y = 2*m - 45. Suppose 2*z = 4*t + m, 0*z = z - 4*t - 16. Solve l + 4*g = -1 - z, g + 25 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 - 2)*(0 + 2*x + 0 + (3*x - x - 3*x)*(4 - 1 - 2) - 2 + 2*x + 2).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1. Let s = 1011 + -1007. Let f = -1 - 0. Let v(p) = 2*p. Let r(t) = f*v(t) + s*m(t). Determine r(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97.4, 5, -5, 0.38, 2\/23.\nAnswer: -97.4, -5, 2\/23, 0.38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + -1*(sqrt(315)*2*-2)\/(-2*sqrt(25)\/sqrt(5)))**2.\nAnswer: 48*sqrt(7) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 172\/387 - (-176)\/9. Solve 21*c - 26*c + v = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddhhnufuunud. Give prob of picking 2 u, 1 f, and 1 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*y**5 - 3*y**2 + 54*y wrt y.\nAnswer: 260*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 9. Let w be u(-6). Let c = -13 - w. Suppose -8*m - 26 = -42. What is the highest common divisor of c and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149216400 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10585 - -18578. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-56)*469 + 22.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, -279, -5, 7 in descending order.\nAnswer: 7, 4, -2, -4, -5, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1472311 (base 11) to base 15.\nAnswer: 34c0ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1846\/(-65)*1435\/(-164)*(-2)\/(-7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 23. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 0 + 4 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 9*t**2 + 5. Let s(u) be the first derivative of -u**4\/4 - 5*u**3\/3 + 2*u + 509. Calculate 2*r(x) - 5*s(x).\nAnswer: x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxsssssss. Give prob of sequence sxx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 - 180*o**2 + 13281*o + 1178147.\nAnswer: -4*o**3 - 360*o + 13281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -2 in increasing order.\nAnswer: -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8483 times 20245?\nAnswer: 171738335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -28 + -1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((-6)\/(-4) - 3). Solve 2*l + d = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00109 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 + 6*c**3 + c**2\/2 + 24*c - 2. Let p be b(-18). Solve -p*w + 25 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 80 = -6*z, -4*a - 70 = 515*z - 520*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23 - 18)*(-1 - -2). Let y(n) = -7*n + 8. Let f(s) = -5*s + 6. Let d(o) = l*y(o) - 6*f(o). Let t(q) = 4*q - 3. Calculate 3*d(c) + 4*t(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248179\/6 + -41566. Let w = 202 + y. Calculate the common denominator of w and -79\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 1725738?\nAnswer: 1725761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(11))**2*-3.\nAnswer: 48*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -372*b + 4 - 4 - 49*b + 61*b in the form s + q*b and give q.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/13 + 2*a**3\/13 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11272601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 666500772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q + 35*q + 30 - 13*q - 16*q in the form s + y*q and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322711073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-47))\/(0 - -1). Suppose 3*a = 5*u - 28, -19*a = -14*a + u. Is a greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7525 = 15*a - 7585. Let c(t) be the first derivative of 10\/3*t**3 - 3 + 8*t - 1\/2*t**a - 8*t**2. Factor c(q).\nAnswer: -2*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506036 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1447765.5 or -17?\nAnswer: -1447765.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/8)\/(79\/(-316))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 11*k - 4. Calculate d(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.35, 22, 24\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30934, 61327, 91718, 122107, 152494, 182879?\nAnswer: 213262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/405)\/(3\/195)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*60\/64)\/((3\/10)\/(360\/(-1000))).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3286*n - 5036*n - 2794*n + 1775*n as v + z*n and give z.\nAnswer: -9341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -230 - -510. What is the highest common factor of 112 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 108967.6mg in kilograms?\nAnswer: 0.1089676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1493859 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 3509153.\nAnswer: -386006.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2716)\/10864)\/(1\/(-92))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8082, -18\/7, -3, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + -4 + 0 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2\/7 - 550*l\/7 - 1425948\/7 = 0.\nAnswer: -718, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3976909609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 6*w - 852*w**2 + 2*w + 0*w.\nAnswer: -852*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12974640, 25949292, 38923942, 51898590?\n\"Answer: -i**2 + 12974655*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:04 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -0.4 (c) 0.4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 + 8 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2)*(0 + (-10)\/(-4)). Let k(d) = d. Let i be k(-8). Sort 2, u, i in ascending order.\nAnswer: i, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, b: 1, e: 7}. What is prob of sequence eba?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 1505*u - 85324. Calculate l(59).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 24*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*f - 50 = 6*y, 2*f = 2*y + 2. Let z be (-3)\/(-2)*(-8)\/(-12). Let b be 15*((-8)\/y - z). Solve 3 - 4 = -3*m + 2*v, -v = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13828.739 + -13828. Which is bigger: 11 or a?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6276 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 76. Let y be 2\/7 - 80\/(-14). Suppose 4*t - f = -t + y, -5*t - 2*f + 3 = 0. Put 4, t, u in decreasing order.\nAnswer: 4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2076)\/(-13840)*16\/(-18).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129194369?\nAnswer: 71, 113, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*r - 2*r, 30 = 5*q + 5*r. What is the second derivative of 15*w**4 + 66*w**4 + 100*w + 2 + 37*w**4 - 66*w**q wrt w?\nAnswer: 624*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-7 - -6)) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - ((-2370290)\/(-386960) + 6). Let u = x + 2\/4837. What is the common denominator of u and 31\/266?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (178 - 111)\/((-10)\/10)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m - 54*m + 14*m + 17*m + 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 2. Suppose -k - 2*k = 18. Let i = t - k. Solve i*d + 25 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -17. Let y = 12 + i. What is the least common multiple of 16 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-168))\/(3\/(-18))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/10*(-3)\/((-21)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4555227?\nAnswer: 3, 181, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 4. What is the lowest common multiple of s and 7?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9866 + -157941\/16. Find the common denominator of (-47)\/(-12) + 1\/2 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9767663, 19535327, 29302993, 39070661, 48838331, 58606003?\nAnswer: 68373677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 + 5. Let o be 4\/6 - 8\/3. Let w be 1\/o - (-7)\/(-2). Give b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206 + 385. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 25075.9\nAnswer: -752.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 36 (b) 0.4 (c) 609 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffoffofffffofffffof. Give prob of sequence oofo.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:26 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.65166 and 14.\nAnswer: 9.12324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 126 = -42. Let c = -39 + h. Is 1496\/10 + (-27)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - 7*s + 8. Suppose 0 = -5*y - 0*k - 5*k + 25, -8 = -3*y + 4*k. Let w = y + 2. Let i be q(w). Solve 16 = -i*r + 6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -2, 91\/3 in ascending order.\nAnswer: -9, -3, -2, 91\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 20 + 3 + 3 - 11*p**2 + 22 - 6.\nAnswer: -18*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9836 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-7) - (-6)\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7048.594 to the nearest 10.\nAnswer: -7050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23837\/24 - 3991\/4. Find the common denominator of r and -41\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4266971 is divided by 5659?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 5*b + 3*m, -b + 81 = 2*m - 22. Suppose g - 452 = -4*y, 4*y - g = 3*y + b. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (-66 - -117 - 56)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 16*s + s**3 - 16*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a day in minutes?\nAnswer: 18360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 55*l**3 - 273*l**2 - 3*l - 25. Give x(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-3\/49)*u*u**7*u**(-7)*u*u assuming u is positive.\nAnswer: u**(297\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 smaller than 6004\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-5)\/30*60\/10. Which is greater: m or -66\/115?\nAnswer: -66\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-22687 - -6)) + 66\/11 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 6*c + 42. Let p(g) = -g + 7. What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 + 8*f + 6. Let g be k(-2). Let l be (-6)\/(-7)*g - -3. Does l = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 + 187.8. Let q = -0.2 - -0.3. Which is the second biggest value? (a) y (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(-1 - 4\/4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -29.44. Let q = f + 0.04. Let s = q - -0.1. Sort s, -0.1, 2.\nAnswer: s, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.5 (c) -10 (d) -0.5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*n + 2*y, -62*n = -58*n - 5*y - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 20362503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2. Let o be (-2)\/14 - (-60)\/28. Let r(n) = 110 - 110 - n**o. Determine d(r(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2. Let m(u) be the second derivative of 3*u**4\/4 - u**3\/6 - 2*u + 8. What is m(h(g))?\nAnswer: 36*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -56.609. Let i = -4 + x. Round i to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424.064 millimeters to meters.\nAnswer: 0.424064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -4\/5*h**2 + 7\/30*h**4 + 8\/15*h**3 + 0 - 1\/10*h**5 - 3*h. Solve w(k) = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i - 8. Let s be i + (-14)\/(-2) + -2. Let b(n) = -n**3 + 8*n**2 + 5*n - 5. Is b(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 115, 87, 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27861 = 27862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 39689.\nAnswer: 39689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15\/14926 + -453593\/1641860. What is the common denominator of l and 109\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 94 - 289. Let l(a) = -17*a - 39 + f. Let j be l(-8). What is j rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000006914 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1540 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 {w: 1, s: 3}. Give prob of sequence ss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 22. Let z be j(-5). Let f be (z\/120)\/((-2)\/4). What is the third biggest value in f, -0.3, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1605686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i, -157*c + 154*c - 14 = 5*i. Solve -2*j - 7 = 5*m, 0 = -m - c*j - 0*j + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.16 + -0.16. Let z = a - 1. Sort 0, z, 0.2 in descending order.\nAnswer: z, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -8. Let x(r) = 4*r**2 - 1. Let i(m) = -20*m**2 + 7*m - 7. Let s(u) = -3*u**2 + u - 1. Let t(k) = 2*i(k) - 14*s(k). Determine a*t(w) + 3*x(w).\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(126)\/sqrt(6))\/sqrt(3).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4\/3 + 76*z**3\/3 + 124*z**2\/3 - 68*z = 0. What is z?\nAnswer: -17, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 112649.3093175.\nAnswer: 112649.6093175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -25*r - 115. Let u = 29 + r. Suppose -p + u = p. Solve 0 = -3*m + p*x + 8 + 10, m - 5*x = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11813 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 3204, 2, 5.\nAnswer: 2, 5, 60, 3204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 12798\/19*p + 12482\/19 + 318\/19*p**2 + 2\/19*p**3 = 0. What is p?\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 2*a**3 + 6*a**3 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 k when four letters picked without replacement from {k: 1, m: 2, l: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -139*r**7\/14 + 199*r**5\/30 + 8*r**2 + 55*r. Find the third derivative of b(j) wrt j.\nAnswer: -50040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -47, -82, -153, -272, -451, -702?\n\"Answer: -2*i**3 + 3*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - i + 5 = -0, -5*i + 15 = 0. Let t be (3*2602)\/n*1247. Let c = t + 9467041. What is c rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -1.4, -0.0292, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -11) + (-61 - 21) + -16 + 14?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*13.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, -2, 0.09 in increasing order.\nAnswer: -2, 0.09, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558533.\nAnswer: 558533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20763*j - 1093436 - 31521 - 136351 - 46761 = 0 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -634*s - 39348. Give y(-62).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 21220012303101?\nAnswer: 21220012303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2.74.\nAnswer: -8.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/9)*f*f*f**14)**(32\/5) assuming f is positive.\nAnswer: f**(992\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719.378326 + -440427.535326. Let j = 439961 + l. Let q = j + -253. What is q rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46010717 less than -0.08?\nAnswer: -46010717.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 5*p - 7. Let i be z(-7). Let j = i - -110. Calculate the greatest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10) + -16 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -75. Suppose w = -4, -g + 3*w = -m - 1. Let q(j) = -5*j + 2. Give q(g).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.5 (b) 1759 (c) 0.4 (d) -2\/13 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 13034*t + 94 - 56 to the form y + j*t and give j.\nAnswer: -13034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2159131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1259 - 276893.569?\nAnswer: -276893.4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49614?\nAnswer: 2, 3, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 - 3*l + 6. Suppose 0 = -6*v - 8*v - 504. What is the remainder when (135\/v)\/((-1)\/8) is divided by m(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-114) + 988\/2888. Factor -a*t**2 + 3 + 1\/2*t.\nAnswer: -(t - 3)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*p - 1, 4 = -2*p + m + 1. Let u be -2 - (-2 - -1) - (p + 4). Let k(g) = 2*g**2 + 5*g - 7. Let r be k(u). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = b - 4*w, 5*b + 2*w = 4*b + 1. Calculate the greatest common divisor of 21 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/(518\/17094)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (8 - 380\/19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/90*(-2)\/((-2)\/25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*x = 56346, 67*p - 5*x - 37614 = 65*p. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1058*z + 52. Let u be a(6). Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2745 by 32.\nAnswer: -2745\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.4, 11, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -27*c - 6. Determine z(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19528*b**3*v**2 + 2*b**2*v**3 + 2*b*v**3 + 124*b*v**2 - 226*v**3 wrt b?\nAnswer: -117168*b*v**2 + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmpjccx. Give prob of picking 1 m, 1 c, 1 n, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1)*(1 + -2). Let s = 157 - 164. Let j be (-12)\/(-75)*(s\/2 + 1). Which is the closest to j? (a) 4 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*k - 612*k + 184*k + 246*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1561 - 1497. Is 32 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1518*q**2 - 1. Let j be n(1). Suppose -2*o + 1120 = a, -723 = -4*o - 4*a + j. Suppose -o = 4*u - 3*u. What is u rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*sqrt(13)*-1 + (sqrt(104)*3)\/sqrt(8))**2 - (sqrt(13) - (sqrt(208) + -1) - (2*sqrt(13))**2*-3)*-5).\nAnswer: -15*sqrt(13) + 1834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184.2 - 192.2. Which is the nearest to 1? (a) -1\/62 (b) o (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:02 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*r**2 + 72\/5 + 33\/5*r.\nAnswer: 3*(r + 3)*(r + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 66*n + 1. What is the tens digit of t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 695 - -236. Let c = -324 + j. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*(-15)\/20 + 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**5\/60 - 5*b**4\/12 - 3*b**3\/2 + 150*b**2. What is a(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16987918 + 27297918. What is g rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 1 + (-820)\/1. Let y(c) = 515*c - 68. Let k be y(-3). Let m = z - k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 + 3031?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 7:36 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -78*z + 4833. Let h be i(61). Suppose -w - 2*w = 3*n - 27, 0 = -n + 4*w + 14. Calculate the greatest common factor of h and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2359721 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 96.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3)\/(-12) + (-51)\/(-12). Suppose f*m + 5*l = 32, 0*l + l = m + 1. Suppose -a = m*o - 985, o - 1394 - 1561 = -3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 4*n + 12*n + 5*n - 3. Give m(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*x - 27*x + 4*b + 60, 5*x = 4*b + 78. Factor 10\/7*t**x - 2 + 4\/7*t.\nAnswer: 2*(t - 1)*(5*t + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334 by 4.\nAnswer: -167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + u**5 + 0*u**2 - 2*u**5 + 0*u**5 + u**5 + (-3*u**2 + u**2 + 3*u**2)*(u**3 - u**3 - u**3) + 311 - 26*u**5 - 311 - u**5 + 0*u**5 + 2*u**5.\nAnswer: -26*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -26*w**2 + 100. Let j(h) = 3*h. What is q(j(c))?\nAnswer: -234*c**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 + 364. Let f = 32 - 19. Let n(c) = -f + 13 - q*c. Let p(j) = -j**2. Determine n(p(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3757)\/(-130) - (32 + -3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 23*a**2 - 37*a + 1. Calculate z(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 829*g**5\/5 - 32*g - 1201. Find the first derivative of l(j) wrt j.\nAnswer: 3316*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a - 11 = -5*j, 2*j = 3*a + 11. Let i(h) = -1. Let w(p) = -3*p**2 - 3. Let c be -2*((-6)\/(-4) + -2). What is a*i(o) + c*w(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(7) + 0)*-1))))**2 + -4 - (-4 + (0 + sqrt(7))**2 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**2 + 4*l**3 + 3 + 4*l - 5*l + 0*l - 1 + 0 to q*l**2 + x*l + k*l**3 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opu when three letters picked without replacement from {p: 4, o: 1, u: 4, b: 10}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 108 + 218 - 110.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7))**(-2\/33)\/(q**(1\/5)*q)**(1\/9))**(-18) assuming q is positive.\nAnswer: q**(-288\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103 (base 7) in base 15?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*t + 384*t = -194227. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.998 and -0.1.\nAnswer: -0.2998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let f be u(8). Let r = -3 - f. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 1, c: 1, d: 1, s: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 w when four letters picked without replacement from wwwfuuwwwfwwwww.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -278, -531, -1268, -2711, -5082?\nAnswer: -8603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 1, z: 2, s: 1}. What is prob of picking 1 s and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 255 = 5*u, -5*u - 2*x - 29 + 269 = 0. Calculate the highest common factor of 810 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -33. Let f be (x\/(-4))\/(2\/(-24)). Suppose 3*a - f = -9. Which is smaller: a or 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*x + 29. Let d = 13 + -8. Solve 0 = -x*y + l - 26, d*l = -y - 0*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239 + 1375. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/13, -3, 4, 3\/10, -0.02, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.615 take away -1.11?\nAnswer: -93.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*a**3 + 0 + 26\/7*a**2 - 24*a.\nAnswer: -a*(a - 14)*(a - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**3 - 6160*u**2 + 55775*u - 86870 = 0.\nAnswer: -1241, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*w + 980981 = 985333 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*y**3*z**3 + 81*y*z**3 - 3*y*z**2 wrt y.\nAnswer: -210*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2501853166 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(-7\/2)*n*n*n))*n*n\/(n\/n**(-1\/2)*n)*(n**13*n)\/(n**(-13)\/n) assuming n is positive.\nAnswer: n**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(931)) + 2*(2*sqrt(931))**2 - (-4*(-1 + sqrt(931)) + -3 + sqrt(931)*-1)) + -5.\nAnswer: 70*sqrt(19) + 7447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065685 rounded to four decimal places?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 27*m - 186. Let w be b(15). Let d(y) = -2*y**2 - y**2 - 3 + 4*y + 0*y**3 - y**3. Let u be d(-4). Which is greater: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1333783, 5335137, 12004059, 21340549, 33344607?\n\"Answer: 1333784*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -92. What is the nearest to -0.1 in 0.5, b, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 3. What is t(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.6. Let y = 22.9 - 22. Let u = 1 - y. Which is the nearest to 0? (a) q (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h + 4*r, -2*h = 3*r + 3 + 6. Which is greater: h or -7\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1161 and 131322.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 - 2. Let h(b) = -8 + 6 + 3. Let r be (108\/(-24) + 4)*-2 + -1 + -2. Give r*t(v) - 4*h(v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*w - 17. Suppose 5*b + 26 = -2*k, 5*b + 4*k - 1 + 33 = 0. Put b, w, -3 in increasing order.\nAnswer: b, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2101022222 (base 3) to base 11\nAnswer: -32265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 3*a**2 - a. Let y(j) = -j**3 - j**2 + j. Give n(k) + 3*y(k).\nAnswer: -k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -25. Let u = 46 - l. Suppose -y - 7 = -z, -z + u = 3*z + 4*y. Solve 2*m + 2*r = z, -5*m = -3*m - 5*r - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 224*q - 573. What is the units digit of y(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**2*o + 18218566*k**2 + 4352828*o wrt o.\nAnswer: 3*k**2 + 4352828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0 + 0 + (t - t - 2*t)*(-5 + 4 + 3) + t - 3*t + 4*t + (-13*t - 94 + 94)*(-2 + 11 + 0))*(-t - t - 2*t)*(-10*t + 99 - 99).\nAnswer: -4840*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.512 - -0.092. Let b = x - 2.58. What is the second biggest value in b, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1040\/936 - 26\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from eaaboaebbabaaeeababs.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -78938*0.2\nAnswer: -15787.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j*j**(-1\/3))\/j)*j)**(-47)*j**(-2\/11)*j*j*((j**(-2\/31)\/j)\/j*j)\/j*j assuming j is positive.\nAnswer: j**(-159499\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t - 1011. What is k(-47)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*w**2 - 1)*(-3 + 0 + 1) + 31*w**2 + 47*w**2 + 34*w**2 as c*w + t*w**2 + a and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j + 4*j - 4*j + 29 + 0 + 103*j**2 wrt j?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 + 5*k - 8. Let o(t) = -t**3 + 7*t**2 - 9*t + 12. Let w be (54\/(-21))\/(15\/(-70)). Suppose c - w = -c. Let y be o(c). Calculate m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*c - 9 = -0, 0 = 5*c - 25. What is the remainder when 53 is divided by (3\/4)\/(o\/(-72))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3 - 10) + 44 + -33 + (9 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 13*u + 14. Let d(g) = 19*g + 21. Let w(b) = 8*c(b) - 5*d(b). Differentiate w(m) wrt m.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -6*(70\/(-6) + 0) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 400*r**4 + 1510*r**3 + 820*r**2 - 4515*r - 3420 = 0.\nAnswer: -1, 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 11*j + 7*j = -3, 5*d - 5 = -4*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3\/6 + 669*g**2\/2 + 1339*g\/2 + 2009\/6 = 0.\nAnswer: -1, 2009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29249 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 221, 621, 1023, 1427, 1833?\n\"Answer: c**2 + 397*c - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*l - 41*l + 468. Is -24 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 512.\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -5*f - 7\/2*f**3 - 2*f**2 + 0. Differentiate w(a) with respect to a.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 1\/21*l**7 + 1\/10*l**6 + 0*l**4 + 0*l**5 + 0*l**2 + 50 + l - 43\/3*l**3. What is the second derivative of t(z) wrt z?\nAnswer: 40*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 20 = 0, 10 = 3*t - 2*l + 21. Which is the second biggest value? (a) -3 (b) t (c) 0.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u = 1422 + 12969. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:09 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05202 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(1064\/(-16)))\/((-15)\/(-7)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4104\/(-42) + 2\/(-7). Let w = l + 193. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5916 + -53306\/9. Which is smaller: q or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from ffzlflfjfztlzf?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/5)*((d*d\/(d\/((((d**(-4\/9)\/d)\/d*d)\/d)\/d))*d*d)\/d)\/d assuming d is positive.\nAnswer: d**(-137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4, -10, -0.4, -3, 0.101?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163.14 + -163. Let i = 0.06 + k. Suppose -2*z + 14 = 4*d - 0, -2*z + 4*d = 26. Which is the biggest value? (a) -0.5 (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 19893 = 6*r - i, i + 3 = 0. Let m = 8407 - r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:48 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 3*j - 5, -4*o + 2 = 2*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m + 61. List the prime factors of p(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35659 - -249140. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 123*r**2. Let i(q) = 106341370 + 23*q - 106341370. Determine i(y(c)).\nAnswer: 2829*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in months?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 divided by -840?\nAnswer: -151\/420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32, 24, 38, 92, 204, 392?\n\"Answer: 3*h**3 - 7*h**2 - 8*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(5 + (-124)\/24). Let p be ((-12)\/(-80))\/(-4 - c\/10). Suppose k - 4 = -3. Is p at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2\/75, -20.1, -7.2?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6*50\/(5100\/(-663))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2844?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 624867833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2611, 5220, 7829, 10438, 13047?\n\"Answer: 2609*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (335\/201)\/(55\/(-297)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.117 + 49.117. Let r = l + -34. What is the second smallest value in 2, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 13) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21232313 + 132232?\nAnswer: -21100031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1833672 bigger than -12835694\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/24 + 9*c**2. Determine s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214 + 493. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1. Let j(b) = 2*b + 12. Let y(z) = j(z) + 6*l(z). Let i be y(-5). Let h(r) = r**2 + 4*r. Let d be h(i). Is -1\/3 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:58 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:40 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f + f)*(78*f**4 - 155*f**4 + 79*f**4).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3097*u + 2189 = -144763 - 26480 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173\/30 + 28\/5. Let h = 71.26 + -71.46. Let y = 0.8 + -4.8. What is the second smallest value in -2\/21, r, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 (base 5) in base 12?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x - 4*x)*(0 - 2 + 0)*(-9*x + 72*x + 22*x).\nAnswer: 170*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -35364 times -44?\nAnswer: 1556016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - s**2 + 2. Let m(u) be the third derivative of -u**6\/20 - u**5\/20 + u**3 - 6*u**2. Calculate -4*m(h) + 11*v(h).\nAnswer: 2*h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*i - 41631, -2*h + 2652 + 25106 = 3*i. What are the prime factors of h?\nAnswer: 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 84753.\nAnswer: 13\/28251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 47511 in decreasing order.\nAnswer: 47511, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*d**2 - 388*d**2 - 480*d**2 + 213*d**2 + (-3*d - d + 2*d)*(d - 3*d + d) to the form r*d + c + q*d**2 and give q.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -18530 and -1741713\/94 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 31 = -5*x. Let c be x*(-4)\/8 + 3. Suppose -9*i + 7*i + 22 = c. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, 620798 in decreasing order.\nAnswer: 620798, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by 75.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -178\/35 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -63*u - 22. Let r(a) = -126*a - 43. Let g(v) = 5*k(v) - 3*r(v). Let j be g(7). Let n = -249 + j. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*c - 0*c - 0*c - 160 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)\/sqrt(9))\/sqrt(3) + -2)*-3*1.\nAnswer: -3*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 + -1645\/6. What is the third biggest value in s, -1\/3, 1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p + m - 22, -108 = -5*p - 4*m. Let h = p + 3. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-2*-1 - (sqrt(156) + 2*sqrt(156))*-2)\/(sqrt(48)*1 + sqrt(432) + (sqrt(432)*-1 - sqrt(432))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -55 + 1. Suppose 4*z + 16 = -3*l - 41, -z + 3*l = q. Let k be z\/(-6) + (-2)\/4. Solve -10 = 3*d + 3*a - a, -4*a = -k*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 12*l - 40. Suppose 94 = -5*t + 2*g, 0 = 4*t + 4*g + 2 + 62. Is 7 a factor of i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 62. Let a = -43 + r. Suppose 2*k - 331 - 463 = a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = 8*i - 3*s, i - 4*s = -6. What is the remainder when 19 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 84 = -2*t. Let d be (-24)\/14*t\/4. Let a = d + -8. What is the smallest common multiple of 4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -54*l - 50. Let y be b(6). Let k = -132 - y. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035 + 879 = -54*c + 726 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 3*y**2 - 1. Let z be x(2). Suppose 10 + 2 = 4*i - o, -8 = i - z*o. Calculate the remainder when i is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = 0, 168 = 2*q + o + o. Let r = q - 337\/4. Let i = 3 + -3.1. Which is the third smallest value? (a) r (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 2*n**2 + 5*n - 2. Let k be h(3). Let i(s) = s - 5*s + s - k*s. Let y(o) = 20*o - 1. Let p(b) = 17*i(b) + 6*y(b). Determine p(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 44 + 0*j**3 - 6*j + 98\/5*j**5 + 0*j**4 + 3\/2*j**2. What is the second derivative of d(u) wrt u?\nAnswer: 1176*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q + 9. Let u be a(0). Let p = -2 + u. Calculate the smallest common multiple of 11 and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014017 is divided by 2915?\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/(6\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -1\/9 (c) -280.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 17 - (-17 - -22).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91753169?\nAnswer: 827, 110947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w + w + 2*i, -3*w - i = -5. Suppose -28 = 4*q + 148. Let h be (2\/(-20))\/(q\/990). Which is greater: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -26. Suppose -5*n - 3*g = -4*g - 55, -55 = -f*n - 2*g. Suppose 4*d = p + n, -3*d + 5*p + 7 = d. Solve 2*u + d = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttvttvttt. What is prob of picking 1 t and 1 v?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -72.8. Let u = b - 6.1. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129648715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 2*f**3 - 2*f**3 + (-33*f**3 - 174*f**3 + 48*f**3)*(-27 - 76 + 24) as t*f**3 + r*f + b + a*f**2 and give t.\nAnswer: 12562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -83*b**4 + 4*b**3 + 64. Let d(s) = -166*s**4 + 9*s**3 + 128. Let q(g) = 4*d(g) - 9*y(g). Find the first derivative of q(n) wrt n.\nAnswer: 332*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/16 and (7\/56)\/(6\/172).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -576*v - 671*v + 1820*v as m*v + b and give m.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/6 - 35*i**3\/3 - 114*i**2 + 4*i - 102. Determine p so that x(p) = 0.\nAnswer: -3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22839 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9842 - 44128 = -48*j + 12706. Calculate the remainder when j is divided by 123.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(2*sqrt(810) + sqrt(810))*6)\/((sqrt(2) - sqrt(32))*2 + sqrt(10)\/(sqrt(5)*3)))**2.\nAnswer: 29524500\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g**2*p - 2*g*p**3 + 54475*g*p**2 - 2332*p**3 - 2*p**2 - p - 4 wrt g?\nAnswer: -10*g*p - 2*p**3 + 54475*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(-16))\/x))**(-1))**47 assuming x is positive.\nAnswer: x**(-799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*h + 25 = 4*d, -3*h - 15 = 0. Solve 0 = 2*j - d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 16*b - 14*b + 2, 4*b + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -354*p + 25 + 354*p - p**3 + p**2. Determine i(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 7*c**3 - 2*c**3 + (0*c**2 - c**2 + 0*c**2)*(-6*c + 2*c + 2*c) + (-78 - 16*c**2 + 78)*(2*c - c + 0*c).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*m + 15, 0 = 2*m - 3*m. Let r(t) be the first derivative of 5*t**2 - t**2 + 6 - 3*t**2 - z. Let f(a) = 3*a. What is f(r(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 13 - -4 - -7 - -22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*3\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2200003*x - 6. Suppose 4*v - 6 = 2. Let o be c(v). What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 1:29 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 24 - 53*s**2 - 24 to w + k*s + v*s**2 + m*s**3 and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 1. Let o(v) = 14*v + 2. Let q(k) = 3*m(k) + o(k). Suppose -18 = -2*a - 3*r, 0 = -2*a - 2*a - 2*r + 28. Is q(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7 = -3*z, 0 = -r + 4*r - z - 5. Solve -2*i + r*d = -2 - 2, d + 2 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 12)*(5 + -292)\/(-7). Let i be 1\/(-8) - q\/88. Suppose 2*t - v = 23, -i*t - 32 = -3*v - 91. Solve -3*s - 2 = t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 443 + -442. Let z(x) = -x**2 - 6*x + 2. Let l be z(-6). Suppose -l*v + 1 = -3. Which is the closest to s? (a) 0.09 (b) v (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -2 - (-1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*n**2 + 79 - 79)*(14*n**3 + 17*n**2 - 17*n**2) + (4*n**2 - n**2 - 5*n**2)*(-3*n**3 + 2*n**3 - n**3).\nAnswer: -234*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/24)\/(-3)*4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67.31402 litres?\nAnswer: 67314.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13*q**2 + 52*q + 52. Let j(s) = -s - 1. Let v(w) = 52*j(w) + r(w). Let u(p) be the third derivative of -p**5\/60 + 4*p**2. Give u(v(m)).\nAnswer: -169*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/376 and 46.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**5\/60 - a**4\/12 + a**3\/2 + 7*a**2\/2 + 4. Let c(m) be the second derivative of o(m). Solve c(k) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*j - 18, 12*j - 9*j + 22 = p. Sort -2, p, -4, -3, 4 in decreasing order.\nAnswer: p, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, -1, 2, 341, 4 in ascending order.\nAnswer: -1, 2, 4, 132, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/(-18)*6852\/(-15988)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2 + sqrt(700))*6 + 5)*-2.\nAnswer: -120*sqrt(7) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/234 and 37\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e5 + -2c5e6?\nAnswer: -2c401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 12) to base 10\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3*(-106)\/(-106)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 13*t**3 - 5*t**2 - 19*t + 1. Let n(h) = 7*h**3 - 3*h**2 - 10*h + 1. Let f(b) = 11*n(b) - 6*x(b). Calculate the remainder when 7 is divided by f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 973*a - 3 + 983*a + 5.\nAnswer: 10*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 4. Let t = 5 + z. Let x = 34 - t. Sort -1\/2, -3\/4, x.\nAnswer: x, -3\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-26)\/(-66) - (-3 - -11)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8386 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 0*f + 2*f + 3*f + 4*f**3 - 3*f to k + g*f + s*f**3 + t*f**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-105))\/((54\/144)\/(5\/(-12)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-54)\/8)\/((-224)\/896). Solve -5*a - 13 - x = 2*c, 5*a = -30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95949780746 - 28157607180. Let m = 10222924189542281\/150798 - x. Let z = 16\/1839 + m. Find the common denominator of z and 119\/18.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*y - 14, -7 = -y + 3*g + 7. Suppose -2\/7*q + 0 - 2\/7*q**y = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 238, 253, 290, 361, 478?\n\"Answer: 2*q**3 - q**2 + 4*q + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196315 and 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/5)*y*y)\/y)\/(y**(2\/31)\/y*y) assuming y is positive.\nAnswer: y**(269\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -797407*a**3 - 2*a**2 + 24756374*a wrt a.\nAnswer: -4784442*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6105638, 0.8, 1 in increasing order.\nAnswer: -1\/6105638, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1142, -1143, -1144, -1145, -1146?\n\"Answer: -t - 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 + 3.91. Suppose m + 4 = 11. Let x(f) = f - 11. Let q be x(m). What is the second biggest value in c, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*k + 0*k - 6*k)*(-2 + 4 + 0) - 2*k - 5*k + 3*k)*(-77 + 147 - 77)*(4 - 68 + 37) in the form t + w*k and give w.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56505 + -10?\nAnswer: 56465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24606.\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15099 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-14) - 3)\/(1*62\/217).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:02 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2311452835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -877259.075 to the nearest ten thousand.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - (-2 - -7) - 18333\/3768. Let h = -3\/314 + f. Put 2\/9, 61, h, 0 in descending order.\nAnswer: 61, 2\/9, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 74 = -6*l + l, l = -2*k + 30. Let j(s) = 36*s - 21*s - 1 - k*s. Let a(n) = 7*n + 7. Suppose 5*g - 2*g + 3 = 0. Determine g*a(t) - 6*j(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 4. Let c(s) = -6*s**2. Calculate c(g(w)).\nAnswer: -150*w**4 + 240*w**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let y(w) = 3344825*w**2. What is y(r(z))?\nAnswer: 3344825*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 58109 and -0.2.\nAnswer: 58108.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.2 (b) -3\/10 (c) -253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*(-3)\/(-6). Suppose 0 = 5*n - 5*w, -3*n + 0*w = -2*w + 2. Put n, a, -8 in descending order.\nAnswer: a, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 2*s**3 + 5*s**3 + (0*s + 2*s + 0*s)*(0 + 0 - 2*s**2) as y*s**2 + g*s + c + z*s**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 5*r**2 + 6*r + 2. Let p be z(-6). Suppose -3*d + 44 - 266 = 0. Let n = d - -74. Solve -b - p*b = n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*o - 3 - 6*o - 10*o)*(0 - 2*o**2 + 0) - 2*o**2 + 2*o**2 - o**3 to the form d*o**3 + n*o + a*o**2 + u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100000000000010 (base 2) in base 16?\nAnswer: 24002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, u: 2, p: 4}. What is prob of sequence spuu?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from llyyyyy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 2*l + 75. Calculate j(15).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 - 17*b**3\/3 - 17*b**2\/2 - 12*b + 3. Let v be x(-16). Let h(z) = v - z**2 + 0 + z + 6 - 4. Calculate h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17955261.\nAnswer: 3, 71, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18037.4313671 + -17855.43138. Let j = m + -182. Round j to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -32, 4 in increasing order.\nAnswer: -32, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 33*w - 51. Let k be d(18). Which is the biggest value? (a) 0.2 (b) -37 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 1, -21, -63, -131?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29396 + -20522. List the prime factors of w.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbpbbnbbrrpb. Give prob of sequence nrp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356835?\nAnswer: 3, 5, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 6*w**2 - 3*w - 7. Let x be t(5). Let i = 3 - x. Suppose -3*u + 417 = -j + 130, i = -5*u + 4*j + 469. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32122364 from 2.\nAnswer: 32122366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 146*s - 109*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 441709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - (124 - 120).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*w + 9 = -3*w, -l - 3 = 5*w. Solve 14 = 4*a + 3*x, -2*x = l*a + 3*x - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0054129 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 - 4197*i + 4199. Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/5 + 100272*k\/5 + 601776\/5.\nAnswer: -4*(k - 25074)*(k + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c + 2 = 0. What is the remainder when 3 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, -161?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(-3*c + 2*c + 0*c) + c**2 - 2*c - c**2 + c**2 + (0*c + c + c)*(c + 4*c - 3*c) + c - c + 3*c**2.\nAnswer: 9*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-40)\/(-90) + 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12436, 24829, 37222, 49615, 62008, 74401?\n\"Answer: 12393*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*b - 936, 34*b = -3*l + 33*b + 1404. What is the greatest common factor of l and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(33\/(-18)). Which is the smallest value? (a) 5 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/12 and 81\/572.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + 150a?\nAnswer: 14d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let i(n) = 6 + 0*n - 95*n + 113 - 121 + 1. Give i(g(u)).\nAnswer: 190*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19829 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -379780000 to the nearest one million.\nAnswer: -380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 104*y + 169. What is the hundreds digit of r(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -15. Sort -0.3, 28, d in decreasing order.\nAnswer: 28, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(4\/10 - -1). Suppose 6*y - c*y = -3. Determine h, given that h - 2*h**y + 1 + 0*h**2 - h**2 + h**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9347*p - 9360*p + 3272893. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 137*x + 168. Give m(0).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 13414*d - 5 - 3 - 13480*d - 2.\nAnswer: -66*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -2)\/(6\/(-4)). Suppose 2*b = -h*b. Let s be (3\/(-18))\/(72\/(-324)). What is the nearest to -1 in s, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1043 = -3*x + 1081. Let a = 1601 - x. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - 0. Let r = 129 + -89. Let m = x + r. Put -1, -6, m in increasing order.\nAnswer: -6, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190634249 to the nearest integer?\nAnswer: 13807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -5*u - 3*s = -2 - 0, 3*s = 4*u - 7. What is the third biggest value in 0, y, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m - 4*u + 3*u - 5979 = -6202, -5*u - 26 = -3*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -131*x + 4. Is m(-1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. What is the derivative of -u**a - 2 - 3*u + 3*u + 4 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11090928 is divided by 924243?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yvyyyyyy.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1148 + -1034. Let i be 30\/(-4)*(f\/(-30) + 3). Let i + 3\/8*w**4 - 15*w - 15\/4*w**3 + 99\/8*w**2 = 0. What is w?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59 + 44)*(-37)\/(-740).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:42 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24185, 194109, 655403, 1553753, 3034845, 5244365, 8327999, 12431433?\nAnswer: 17700353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, -5, -3, -8.\nAnswer: -8, -5, -4, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)*r*r*((r\/(r*r**(-4\/3)))\/r)\/r)\/(r*r**15\/r)**(-20) assuming r is positive.\nAnswer: r**(9938\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582881 (base 9) to base 8.\nAnswer: 1253330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 2*k - 4*k)*(2 + 1 - 1)*(-2*k**3 + 4*k - 4*k) to o*k**3 + q + r*k**2 + n*k + i*k**4 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257 times 0.1?\nAnswer: 225.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-2\/5)*t)\/t)\/t*t)**6)**(-12\/7)*((t**(-3\/5)\/t)**(20\/3))**24 assuming t is positive.\nAnswer: t**(-9176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47357e0 + b?\nAnswer: 47357eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, -81, -7\/45, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 9*n = -225. Suppose 0 = -2*s + 21 + 3. Calculate the remainder when n is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7049, -1386, 8053, 21268, 38259?\nAnswer: 59026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 11*z + 62. What is the tens digit of l(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5916.23 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -1 - 6. Is 14\/(-35) - o\/((-70)\/(-4404)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -82, -0.2, 4\/7 in descending order.\nAnswer: 48, 4\/7, -0.2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i - 84*i + 100 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -15*p**2 + 1173*p - 164. Calculate j(78).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1542 = -146*i + 210 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*w = 213*w + 38. Suppose -3*i + w = -2*s, -4*s = -3*i + 44 - 21. Let q(u) be the first derivative of 3*u**2\/2 + u - 1. What is q(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 828360 and 3497.\nAnswer: 222828840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7679550 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:20 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1769 - 918. Let k(p) = 39*p - 14. Let f be k(9). Suppose f = 9*y - s. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -487906 and -7?\nAnswer: 487899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45*-0.3\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-57)\/(-14))\/(-19))\/3.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 174 = -2*l, -127 + 397 = 3*l + 3*p. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzp when three letters picked without replacement from {y: 1, p: 12, z: 1}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5932 is divided by 286?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-9\/2))\/n*n*n\/(n\/(n**(-7)*n)))\/((n*n\/((n**(-1)*n)\/n)*n*n)\/(n\/(n\/n**(-10))*n)) assuming n is positive.\nAnswer: n**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + 60b54?\nAnswer: 60b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118339593?\nAnswer: 3, 39446531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -59, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764.9383 years to millennia.\nAnswer: 0.7649383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1207 bigger than -1207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -0.183 (c) 0 (d) 26.8 (e) 1.1 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3965 is divided by 1790.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -6*n + 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(17) + -4 + 3*sqrt(17)*-5 - ((sqrt(272) + 0)*4 + -1)))**2.\nAnswer: -60*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 4*q - 1, -2*q - 1 = -o. Suppose 2*m + 112 = 5*r, -3*m + o - 4 = 0. What are the prime factors of 260\/r - 2\/(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8*1)\/(-1))\/2. Suppose -3*o - 2*c - 21 = -6*o, 0 = 3*o + q*c - 3. Solve -o*x - 26 = -4*k + 9, -3*k = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k + 0)*(31*k**2 + 20*k**2 - 18*k**2)*(-2 - k + 0 - k).\nAnswer: 132*k**4 + 132*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1041988 > -1041989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914.\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16735 divided by 16735.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 580 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35347 (base 9) to base 2\nAnswer: -101110000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5804317.\nAnswer: 5804317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -70.03856 and -3?\nAnswer: 67.03856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178272 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 6 + 15. Suppose c = q + 37, v*c - 4*q = 51 + 57. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (57 + -2)*4. Let k(n) = -n**2 + 2316*n - 13834. Let l be k(6). Calculate the highest common factor of j and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5671 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 2806*k + 2807.\nAnswer: -(k - 2807)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1365160.608us?\nAnswer: 0.00000225721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 7*a + 1 = 15*i + 13, 2*i - 5*a - 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6081 + -5967.09. Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + 350\/28. Let f(t) = -t**2 + 17*t + 1. What is the tens digit of f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6*y - 18251 = 10*y, -x - y + 6086 = 0. Is 118 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154219?\nAnswer: 11, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15)\/((-6)\/9)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39840622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6 + (14 - 45 - -29).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -218, -1, 3, 1, -1077.\nAnswer: -1077, -218, -5, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q**2 + q. Suppose 5 = 4*b - 11. Let j = b + -5. Give a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0877985 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 19 = -4*i, 0*v = 5*v + 5*i - 110. Suppose 0 = -5*y + 5*k - 35, 0*y - 5*y + 2*k - v = 0. Is 2\/y - (12488\/(-12) + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22844 and 20?\nAnswer: 114220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(l**(4\/13)*l)\/l))\/(l*l**14))**40)**39 assuming l is positive.\nAnswer: l**(-23880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 8*m**2 + 6*m - 6. Suppose 0*s = -3*s - 15, 4*t - 51 = -5*s. Let w = -17 + t. Calculate the lowest common multiple of g(8) and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -241 (b) 0.1 (c) -2 (d) 14\/19 (e) -45\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, 6, 0.5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 2*x**2 - 2*x**2)*(-1 - 2*x + 1 + 3*x - 6*x + 2*x + (-3*x + 0*x + x)*(-1 + 2 + 1)) in the form i*x**2 + o + h*x**3 + l*x and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780*c + 722*c + 2088 = 0. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280503401?\nAnswer: 37, 53, 313, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-18)\/(-24)*(184 - 218)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idiiepe. What is prob of picking 1 i and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 10620408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127037 is divided by 4886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/6 and -35\/828?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (135\/405)\/((-1)\/(-9)*6\/(-8)). Suppose 0 = 5*v - 5. Let b be (2\/((-4)\/(-14)))\/1. Sort b, v, -1, x in descending order.\nAnswer: b, v, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/54)\/(-37*54\/(-8991))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 9*k + 13. Let z be f(10). Solve -2*n = -z*h + 6, h = 6*n - 2*n - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4501*b**3 - 4500*b**3 - 4 + 4.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y + 13. Let i(q) = q + 4. Suppose -49*k - 540 = -53*k. Let b = -142 + k. Calculate b*i(r) + 2*o(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (17 - (14 + -18679)) + 8\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 3*t + 4*o - 16, t = 5*o - 11. Let z be (-2)\/3 - 3516\/t. Let k = z - 64. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -653*p**3 + 13*p**2 + 3*p - 63. Suppose -h - x - 3 - 4 = 0, -4*x + 26 = -2*h. Let c be j(h). Round c to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 6*i**2 - 3*i**2 + i**3.\nAnswer: i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + -5 + 1) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-42) - (5 - -3)\/(-56). Which is the closest to -0.1? (a) -5 (b) 15 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 7. What are the prime factors of ((-21)\/a + 1)*-15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 8*o**2 - 2*o + 40. Let j be m(-7). Find the first derivative of 31 - 12*d**2 + j*d**2 - 4*d + 8*d**2 + 6*d**2 wrt d.\nAnswer: 14*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d**3 - 2444045*d**2 + 15274530*d - 3665880 = 0. Calculate d.\nAnswer: 1\/4, 6, 122196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4 = -2*a. Let h be (-1)\/(-3*a\/(-102)). Solve 0 = 4*z + h + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -13, -16, -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01325782 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 12*j + 10. Let a be p(-9). Let x = a - 38. Let v(u) = -u**3 + 9. What is the remainder when x is divided by v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 6*r**2 - 1. Let u(y) = -6*y**2 + 1. What is 2*n(f) + 3*u(f)?\nAnswer: 2*f**3 - 6*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1710 from 3623.\nAnswer: 1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {c: 5, v: 2, k: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25.9 and -4018100.\nAnswer: -104068790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 11 = c - 15, 4 = -2*k. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*f**2 - 1 + 1 - 13*f**2 in the form o + a*f + b*f**2 and give b.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 36*c**2 + 108*c - 96 = 0. What is c?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349340?\nAnswer: 2, 5, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 12:33 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -4)*(3\/2 - 1). Which is the smallest value? (a) q (b) 4 (c) -5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2620*v - 3287*v - 3385*v - 474*v - 3345*v as c*v + k and give c.\nAnswer: -7871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 155. Let r = z - -10. Suppose -3*t = -r + 12. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r)\/(r*(r*((r\/r**(3\/7))\/r)\/r)\/r)*r**(-5)*r\/((r*r*r**(-5\/4))\/r) assuming r is positive.\nAnswer: r**(-317\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 35006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332774748 by 9.\nAnswer: -36974972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 93 = 53. Suppose u = 2*b - i + 3, 0 = -2*b + 3*i + 47. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 41. Let q(m) = 24*m**l - 12*m**2 - 98*m**2 + 1. Let h(g) = -g**2. Give h(q(b)).\nAnswer: -7396*b**4 + 172*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1850 and -59\/113948.\nAnswer: 105401900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35365433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105412, -107485, -109558, -111631?\n\"Answer: -2073*c - 103339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500.785 - -1.215. Let x = 10713175.9777 + -10713678. Let o = j + x. Round o to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1550, -1545, -1544, -1553, -1578, -1625, -1700, -1809?\n\"Answer: -i**3 + 4*i**2 - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 20 + 3*c**3 - 404*c**2 - 17.\nAnswer: 3*c**3 - 404*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23291550, 46583100, 69874648, 93166194, 116457738, 139749280, 163040820?\n\"Answer: -r**2 + 23291553*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**8\/3360 + k**7\/1680 - k**6\/720 - k**5\/240 - 13*k**3\/3 - 28. Let t(h) be the third derivative of n(h). Factor t(p).\nAnswer: p*(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c = 0. Suppose 3*h = -4*k + 227, c*k - k + 33 = -4*h. Suppose 3*i - 16 = -4*z, 5*i + k = 5*z - 2. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021111211000 - -12?\nAnswer: -1021111210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.19. Let j = 0.87 - u. Put 2\/5, j, 4 in descending order.\nAnswer: 4, j, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78\/15 - (-7)\/(-35). Solve o*d + 6 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - u. Let f be s(1). Let l(x) = x - 2. Let v be l(6). Suppose 30 - f = v*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12267\/(-58))\/(63\/(-28)) - (-15 + 35)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 7. Let t(y) = -3*y + 1. Let m(n) = -13*n - 2. Let v(k) = -m(k) + 4*t(k). Determine -5*u(c) + 6*v(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1319555 millennia in years?\nAnswer: 131.9555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -21*k**3 + 11*k**2 + 4*k + 16. Let b = -139 + 206. Let s(n) = 65 - 129 + b - 4*n**3 + n + 2*n**2. Calculate -2*d(r) + 11*s(r).\nAnswer: -2*r**3 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*c - 19*c**3 - 229*c + (-3*c**2 + 5*c**2 - 5*c**2)*(-c - c + c) in the form x*c**3 + k*c + f*c**2 + t and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 <= 27972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m + 157 + 143 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:22 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2168 = -9*c + 1621. Suppose 2*u - v = -c, -3*u + 7*u + 3*v + 847 = 0. Let m = -136 - u. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106917 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2980 + -32755\/11. Let d be ((-4)\/(-10))\/(24\/(-15970)). Let p = -268 - d. Calculate the common denominator of p and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044 by 27.\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 900 and 1400580.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 3*k - 7 = 0, 0 = -5*f + 2*k - 9. Sort 41, 3, f, 0.\nAnswer: f, 0, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l + 3. Let v be z(0). Let b be (4 - 1 - 0)\/1. Let j = -1021843 + 1021848. Solve b*o = -4*f - o + 24, -j*f = -4*o - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1016.3092 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367714 is divided by 1776.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 3, f: 5}. What is prob of sequence ttt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 164 = 4*d, -3*h - 17 = -5. Calculate the greatest common factor of 4121 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 12) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 - (1 + 0) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.9086 to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/9, 0.18, -3, -0.1, -0.07, 0.122?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-668)\/6 - -2)*(-891)\/396?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1 + 17 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruuh when four letters picked without replacement from uoppupuuuuiphhpprupu?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppipiippppp. Give prob of picking 3 i.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328650372 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 568\/28 + 4\/(-14). Let g = h + -14. What are the prime factors of g\/(-9)*-9*3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362027 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*o = -y - 122, 2*y - 249 = -5*o. Let x = -41 + y. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*l + 2*m - 68, 5*l + 2*m = 78. Suppose -5*h + l = 4. Let a be 7 - 3 - 2 - h. What is a rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2 + 31660468*x - 63320944 = 0. What is x?\nAnswer: -15830236, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3. Let k = -11 + j. Let o = -9 - k. What is the second smallest value in o, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 66, -2, -3, 0.0387?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*w + r - 3, -3*w - 4*r = -1. What is the third derivative of 4*v**2 - 6*v**2 - 4 - 2*v**w + 4 wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 9*h. Let j(y) = -11*y**2 + 51*y. Let x(m) = -6*j(m) + 34*r(m). Let o(i) = -2*i + 5. Let g(t) = -1. Let n(u) = 5*g(u) + o(u). Give n(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57556500*t**4 - 89789164.\nAnswer: 230226000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/972 and 31\/1004562.\nAnswer: 2009124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 16 = -11*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 11*d + 2*z + 16, -18 = 4*d + 3*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*r - 3*r. Let i = 134 + -189. Put i, -2, r, 3 in increasing order.\nAnswer: i, -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = -15. Suppose -2*b - 2 = f. Let t be 3 - ((-2)\/(-1) + b). Solve 2*y = 2*l - 7 - 1, t*l = 3*y + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/6*351\/(-156). Suppose -6*j + j = c*w - 1109, 383 = w - 5*j. What are the prime factors of w?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 + 2 = 0. Let r(f) = 7 + 3*f - 23*f**3 + 5*f - 7*f**2 - 3*f + 24*f**3. Let h be r(6). Is m <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 6:22 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1152 and 7\/1280.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:55 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.2. Let c = -1\/1927 - 1920\/13489. Let l = 37 + -38. What is the nearest to -1 in c, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 20 = -u. Calculate the least common multiple of u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 0. Let y = 12 - 12. Sort -0.1, y, d.\nAnswer: d, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + -2.03. Let n = -617 + 613. What is the closest to 0.1 in b, n, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 - -27. Let w = -265651874 - -265652047.000089. Let y = p + w. What is y rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - (0 + 190\/45). List the prime factors of (((-42)\/a)\/7)\/((-1)\/(-46)).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 720*c - 4315. Let j be d(6). Let m(k) = k + 15. Let f be m(-5). Let a = f + 8. Solve j*l - a = 5*q + 7, l = -q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -1, 90?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6))\/k**(-1\/9)*((k**(1\/4)*k)\/k)**(-1\/27))**(-27) assuming k is positive.\nAnswer: k**(529\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11523168 divided by -216?\nAnswer: -53348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(468) + -5)**2 - 5*sqrt(1872).\nAnswer: -130*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/4)*z**(-2\/9)*z\/(z*z**(-4))*z\/(z\/z**(-1\/2)))**(1\/10) assuming z is positive.\nAnswer: z**(181\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(420))\/sqrt(10))\/sqrt(6).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118952 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1644934*m**2*x + 14449*m*x + 4*m + 5*x wrt m.\nAnswer: 3289868*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17575 + 720465\/41. Which is greater: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 275517\/897 - (2\/13 + 0). Suppose -2*s - 2*l + 10 = 0, 0 = 5*s + l - 0*l - 17. Suppose s*b = a - 52. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 6. Calculate q(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 29, 37, 41?\n\"Answer: -2*d**2 + 18*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q**2 + 47*q**2 - 22*q**2 + 6.\nAnswer: -9*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2 + (1 - 5 + 3)*(5 - 7 - 7))*(-1 + 1 - 1)*(-2*r + 2*r - r) in the form a*r + c and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 4*i**2 + 6*i - 6. Let m be b(5). Let d = -13.64664 - 0.35336. What is the third biggest value in d, -5, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:34 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3334 (base 6) to base 7\nAnswer: -2161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9198.2331s to weeks.\nAnswer: 0.01520871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 41 = -343. Calculate the greatest common factor of h and 1216.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 10*z. Let y be (60\/6 - 11) + 13. Determine w(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 69 - 22 = -57 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:29 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*n = 329 - 350, -3*h - 3*n = -18. Let w(o) be the first derivative of 0*o + 10 - o**2 + 2\/3*o**h. Let w(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 3*q - 5. Let w = 6 + 2. Let a(b) = -9*b**2 - 8*b + 14. Let m be (-190)\/(-62) + (-4195)\/155 + 27. Calculate m*a(z) + w*c(z).\nAnswer: -3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5*b**2 - 3*b - 2. Let a be v(4). Let o be (-104)\/(-6) + (-11377)\/1101. Solve o*g - a*g = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = 5*r, 4*w - 2*r - 3*r = 14. Let m(y) = -y**2 + 10*y - 5. Let u be m(4). Solve 5*d = u + w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4424254 is divided by 2306.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(22\/(-352)). Suppose -1 - 1 = 2*p. Let k be ((-4)\/x)\/(1\/p). What is the smallest value in -4, -4\/7, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 608 - 302. Let r be g\/3 + (1 - 1). Suppose 0 = v - 5 - 0, 4*b = -2*v + r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*x - 30, -7*h + 2*h + 65 = -3*x. Let u = 13 - h. Calculate the smallest common multiple of u and 10 - (0 + -1) - 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -519, -777, -1035, -1293, -1551?\nAnswer: -1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 15. Let h be 3 + (-3 - -69) + -1. Suppose -a*g - h = -383. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18137 or -18174?\nAnswer: -18174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4 + 5 + 2 - 4 - 7*q. Is i(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:50 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -3*v**5\/5 + 184*v**2. Let g(m) = -m. Give g(z(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2 - 1. Suppose 0 = -m + 3*s + 51, -4*m = l*s + 2*s - 153. Suppose -8*a + 7*a = -m. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 1. Let d = g - 3. Let f = 3 - 2.8. What is the second biggest value in f, -5, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -7*o - 1440. What is the greatest common factor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 167*z + 1934. Calculate the remainder when v(-7) is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-9)*(-3)\/2. Suppose -i + 4*i = -m*d + 8, -11 = -3*i - 5*d. Let f(k) = k**2 - i*k**2 - 2 + 4. Determine f(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -6*d - b + 15, 5*b = 13*d - 8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let u(t) = -4*t**2 - 59*t**2 - 8*t**2. Calculate f(u(y)).\nAnswer: 142*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -5*k - 47. Let p = k - -28. Solve -4*f + 4 = -p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*q = -125*q + 3. Let m be 370\/(-120) + (-6)\/(3 - 5). Which is the smallest value? (a) m (b) q (c) -5 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -1 + (-646 - -629).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 + -44?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25047768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 - 4122?\nAnswer: -4179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1043, -4, -5, -429 in increasing order.\nAnswer: -429, -5, -4, 1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516135533?\nAnswer: 29, 37, 481021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0234 - -2.0766. Sort k, -2\/17, -7\/3.\nAnswer: -7\/3, -2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10846 and 2552?\nAnswer: 43384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g. Suppose g*y = 5*y - 10. Is (y\/(-7))\/((-4)\/28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -0.9559.\nAnswer: 0.9559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (286*z - 847*z - 274*z)*(6*z**2 - 67 + 67) in the form g*z**2 + v + d*z + u*z**3 and give u.\nAnswer: -5010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 3*t + 3*f, -2*t - 2*f = 3*f + 73. Let o = t - -60. What are the prime factors of o\/8 + (-3)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, h: 3, n: 1, v: 4}. What is prob of picking 1 n, 1 v, and 1 h?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**3 + 27*a**2 + 8*a + 44. Suppose 5*l = 8*l + 78. Let f be i(l). Round f to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -574 + 1302. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.1 + -44. Let n = -1 + 4. Let v = -2 + n. Which is the nearest to v? (a) -4 (b) -2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:29 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89\/280 - 3\/10. Is 0 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 + 11*v + 11. Let q be u(6). Suppose q*b = 6 + 24. Solve 0 = 3*k - k + b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13319126341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 4*g**3 - 1823*g**2 - 7*g - 4 + 3653*g**2 - 1828*g**2 in the form b*g**2 + p + t*g**3 + r*g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*f = -8, 5*v + 20*f - 6*f + 20 = -22*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 14*z + 37. Calculate q(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-345)\/483)\/((-248)\/32984)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 + -35 - (-13 - -2) - -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 9*b)*(-2*b**2 + 0*b + 0*b) + (b**2 + 4*b**2 - 6*b**2)*(-2*b + 3*b - 2*b) - 4*b**2 + 4*b**2 - 2*b**3 - 9*b**3 + 9*b**3 + 14*b**3.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9*u = 22. Suppose 0*m = 2*b + 2*m - 10, u*m = 2*b + 6. Let c be (15 - b) + (-16)\/(-4). Calculate the greatest common factor of 162 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 - 3 = 0. Suppose h = 4*r + 5. Is r*1 - (-15 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 0 + 0 + (2*b + b - 2*b)*(-3*b + 2*b + 8*b) + (20 + 9*b - 29 + 17)*(-3*b + b + b + 1) as l + a*b**2 + p*b and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 104100, 1\/5, 7\/2, -0.24, -1 in descending order.\nAnswer: 104100, 7\/2, 3, 1\/5, -0.24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10 - s**3 - 10*s - 3 + 9*s**2 + 0*s**3. Let g be -4*(3 + (-25)\/5). What is q(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnppbblnohpnbo. What is prob of picking 2 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 + 3*m)*(-2 + 1 - 14*m**2 + 16*m**2) to x*m + r + y*m**3 + d*m**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.171845345064 - 0.19.\nAnswer: 0.981845345064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2 + 47*v - 638 = 0.\nAnswer: -58, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:48 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7601 and 8?\nAnswer: 60808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 s, and 1 d when four letters picked without replacement from {q: 1, p: 2, d: 1, u: 2, h: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2081*l**2 - 18815*l + 12. Let t(p) = 4995*p**2 + 45156*p - 29. Let w(b) = -29*c(b) - 12*t(b). Find the second derivative of w(r) wrt r.\nAnswer: 818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10939 and 13803.87767?\nAnswer: 24742.87767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 4*q**3 + 0*q**3 + (-2*q**3 + 3*q**3 - 3*q**3)*(-1 + 4 + 0) - 2*q**3 + 0*q**3 + q**3 + (0*q**2 + 3*q**2 - 2*q**2)*(0*q + q + q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105848143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 278, 294, 326, 380, 462, 578, 734?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2148*y**3 - 19*y**2 - 2012*y**3 + 19*y**2 + 4164*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/2940)\/(1458\/756)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67441 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 1, y: 2, w: 1, h: 6, f: 2}. What is prob of picking 1 m and 1 w?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -13. Is p - (24\/(-6) - 3387) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 1 = 2*w, 0 = 3*w + 12 - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*z + 77*z - 142*z + 2*z.\nAnswer: -399*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 10770.\nAnswer: 32310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110010 (base 2) to base 16.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose f = -4*a + 2*r + 18, -2*a = -5*a - 5*r - 6. Suppose 0 = -a*p - 0*p + 42. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019339 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) -4\/3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 22298*r\/9 + 29720\/3.\nAnswer: 2*(r - 11145)*(r - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53732 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52400\/9 - -370101173\/63567. Let y = -628679\/169512 - v. What is the common denominator of -76\/27 and y?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4. Let g be (x\/(-3))\/((-3)\/(-9)). Let f = 151\/825 + -1\/825. Which is the nearest to g? (a) 0.2 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168\/70 + (-4)\/10. Let v be 2*i\/42*1. Which is the smallest value? (a) v (b) -3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*l - 2815*l + 1219*l - 2*l**2 + 804*l - 11*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 11, 0, 5 in ascending order.\nAnswer: -8, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q - 9. What is the tens digit of k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8028 = -13*q - 5*q. Let d = q - -451. Solve -41 + 36 = d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 - 104. Solve s = -m - 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 1. Let l be p(2). Let h be l - (-9)\/(-3)*-1. Solve 0 + 1\/2*a + 0*a**h - 1\/2*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*f + 14, 20*s - 25*s + 2*f + 16 = 0. Suppose 0 = s*t + 1 + 7, n + 2*t = -2. Solve -2 = -3*p - n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(1*(sqrt(42)\/sqrt(6) + sqrt(7) + sqrt(7))*5)**2 + -2.\nAnswer: -9454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8251144 rounded to 2 decimal places?\nAnswer: -4.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003644158 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 4*v)*((380 + 21*v - 380)*(2 - 1 - 2) + 17*v - 14 + 14).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12327*o**3 + 24663*o**3 - 12334*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019806179226 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10*w + 66 = 0, 29*w = 5*i + 28*w - 17. Let a(s) = -s**2 - 15*s + 3. Let h be a(-15). What is v in -3*v + h*v**3 - 6\/5 + 9\/5*v**4 - 3\/5*v**i = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + a + 513. Let f be t(0). Let g = f - 269. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 122. Let c = -41 + a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/2 + 5*x**3 - 9*x**2\/2 + 10. Let g be p(-8). Solve 5*r - r - g = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, -0.3, 237.1, 0.2 in descending order.\nAnswer: 237.1, 0.2, -0.3, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -169. Let o = 103 + n. Calculate the least common multiple of o and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167728010309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 876\/3*((429\/154)\/39)\/((-18)\/63)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434784*r = 434783*r + 5*o - 23, r - 17 = -3*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79.03 + -79. Let f(h) = -h**3 + 30*h**2 - 83*h + 53. Let k be f(27). Which is the second smallest value? (a) 2\/13 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 + 411. Suppose 2*c - t = 2*x, c - x = x + 89. Let w = c + -74. Solve 3*u = 5*i, 4*u + 2*i + w - 31 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -59*i + 62*i + 223, -5*v + 385 = -36*i + 31*i for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/5*4\/(-12). Let m(f) be the third derivative of 1\/2*f**3 + 0*f + 1\/20*f**6 - 1\/4*f**4 - 3*f**2 + 3\/70*f**7 - s*f**5 + 0. Let m(i) = 0. Calculate i.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.013578166580515 and 4?\nAnswer: 3.986421833419485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 1. Let v(z) = -5*z**3 + 6*z**2 + 3. Determine 6*g(q) - v(q).\nAnswer: 5*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4}. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 4192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4*(-3 + (-20)\/(-12)). Suppose 3*b + 5253 + 5423 = -i*j, -3*b - 5*j = 10688. Let z = b - -7997. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from znrrnrrznn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 618 - -15. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13804, -105, 0 in decreasing order.\nAnswer: 13804, 0, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 9*i + 4. Calculate the remainder when 65 is divided by x(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 65*k**2 - 14*k - 28. Let f be r(29). Let h = f - 37738. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5725 or 5802?\nAnswer: 5802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/165 and ((2\/(-195))\/((-23)\/(-1265)))\/5?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012990742 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -57. Suppose o*h = 2*h + 2*h. Let 2\/7*k**2 - 4\/7*k + h = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - a = -2, 288 = -2*d + a + 292 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*b = -3857, 4*m - 15428 = 2*b - b. Let l be (-2)\/(-3) - m\/57. Let n = l - -67. Solve n*i + 16 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 7, i: 3, j: 7}. What is prob of sequence lyj?\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 280565909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*-4*3*((-1 + sqrt(1008))*-3 - sqrt(1008) - (sqrt(1008) + 1)*3)*-6)**2.\nAnswer: 256048130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 6*r + 4. Let f be h(-7). Let v be (-1 - 21\/(-15)) + (-1528)\/20. Let p = f - v. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/23003947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 18. Which is the closest to z? (a) 0 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/24 + u**3\/3 + 6*u**2. Let t be g(2). Solve 0*d = -t*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/12*2142\/(-126).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018745734852 to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 8*w**2 - 8*w + 7. Let b be z(7). Let q = b + 4. Find the third derivative of 4*p**2 + 4*p**2 - q*p**2 - 4*p**4 wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - 413. Let m = y - -485. Which is the second biggest value? (a) 0.4 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.212794422 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811.1874cm to kilometers.\nAnswer: 0.008111874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**2 - 23380*x + 210015 = 0?\nAnswer: 9, 4667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157240 + 1148218 = 347*b for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v + 12*v + 4*v**2 + 3*v + 5 - 5*v**3 + 10*v - 38*v. Let t(r) = -9*r**3 + 7*r**2 - 7*r + 9. Determine 7*g(h) - 4*t(h).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 1, d: 2, r: 4, p: 3, b: 6}. Give prob of picking 2 d and 2 b.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39445 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1.37?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 8427 - 9363 = 0 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11874454, 11874534, 11874614, 11874694, 11874774, 11874854?\nAnswer: 11874934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 86\/5 (c) 7 (d) -0.2 (e) -3 (f) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6019084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 223?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1301 - 2538*f - 659 - 642 to the form k*f + b and give k.\nAnswer: -2538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1107, -4675, -10617, -18933, -29623, -42687, -58125?\n\"Answer: -1187*n**2 - 7*n + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27417 = -401*k - 9475 for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1389*a - 156954. Give q(-113).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -672728, -672727, -672724, -672719, -672712, -672703?\n\"Answer: i**2 - 2*i - 672727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -43*b**3. Let r be n(-1). Let c = r - 39. Put c, -1, -21 in descending order.\nAnswer: c, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 11287 = 9143. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 6*i**5\/5 - 9*i**4\/4 + 3*i**2\/2 + 81. Solve w(a) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 8. Let i be w(6). What is the units digit of i\/1*(2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-80) + 2\/(-5). Suppose 0 = -2*a + 12*a + 10. What is the closest to -0.1 in a, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. What is the third biggest value in 0.4, 1\/5, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3641 = 4*r - 3*i, -1853 = 2*r - i + 6*i. Let a be r\/(9\/((-27)\/(-6))). Is -1 - (0 + 2) - a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/129 - (-20 - (-290)\/15)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 1, -20, 4 in decreasing order.\nAnswer: 4, 1, 1\/11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w - 2. Suppose -5*t + 3*j = -21 - 3, 4*j - 3 = -5*t. Let z(d) = 4 + 4*d**t + 2*d - 7*d - 2*d**3. What is 5*p(c) + 2*z(c)?\nAnswer: -c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3953664778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -68*k - 234. Let p be l(-8). Let y = -308 + p. Solve -2*t + y*r = 0, 2*t = t - 5*r + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k**2. Let v(t) = -3*t**2 - 4. Let u(q) = -5*q**2 - 7. Let h(o) = 4*u(o) - 7*v(o). Give h(j(b)).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/1794 and 66\/(-231)*(-187)\/(-66).\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18322416 by 996.\nAnswer: 18396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdpppppppppdppd. Give prob of picking 4 p.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from uufyufzfffuujffyfzj?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i + 3*i + (-2 + 1 - 1)*(-2*i + 1 - 1) - 2*i - 2*i + 6*i - 5*i + 3*i + i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68726 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = 5*m - 502. Suppose -3*w + 25 = q + 7, -m = -4*q + 3*w. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000875972305 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o**2 + 89*o + 50. Let l be k(-8). Suppose 36*v - 31*v - 535 = 0. Is l less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18.29185 decades?\nAnswer: 0.1829185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34654695 and 193?\nAnswer: 34654502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13411*a**2 + 4110 wrt a.\nAnswer: -26822*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*z**3 - 122*z**3 - 66*z**3)*(-3*z - z + 2*z).\nAnswer: 306*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, n: 4}. Give prob of picking 3 y.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2491*n + 180. Let w(s) = 14947*s - 1140. Let o(x) = -3*w(x) - 19*y(x). Let d(i) = 3*i**2. Calculate d(o(b)).\nAnswer: 18570432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.0768 + 0.0768. Which is the closest to -2\/3? (a) d (b) 0.2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-5\/3)\/x)*x*x\/(x**(-2\/3)\/x))**(-48))**(6\/5) assuming x is positive.\nAnswer: x**(-2112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 1, u: 1, s: 3, x: 3, f: 1}. Give prob of sequence xdf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b**2 - 66*b + 6. What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.44641864 + 23.746414. Let a = -3.3 + x. What is a rounded to 7 decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*m + 21*m**3 + 58 - 58 + 71*m**3 wrt m?\nAnswer: 552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.4 (c) 0.1 (d) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75.903 and -23.\nAnswer: 1745.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -15*b**3 - 2*b**2 - b. Suppose -2*s = 38 - 1400. Let u = -682 + s. Give c(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 15. Suppose 0 = -3*k + 2*x - 0*x + 46, 2*k - 34 = 3*x. What is the lowest common multiple of k and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovcv when four letters picked without replacement from {r: 1, o: 1, z: 2, b: 1, v: 2, c: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2. Let d = -267 - -270. Let w(k) = 15*k**2 - d*k - 2*k + 5*k. Calculate w(o(s)).\nAnswer: 240*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -23, 32, 181, 466?\n\"Answer: 7*p**3 - 16*p**2 + 2*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:16 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166752 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 112*n**2 - 49*n - 13. Let s(q) = -14*q + 3. Let o(b) = -3*k(b) - 49*s(b). Let u(j) = 5*j**2. Give o(u(f)).\nAnswer: 70*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j - 3. Let t be p(3). Let h = 9 - t. Solve 5*n = -q + 15, 3*n = 2*q + n + h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-30))\/(558\/(-7440))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 18 + -12 + -27.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {i: 2, p: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 19. Let z be k(-14). Let b(m) = -m**3 + 6*m**2 - 6*m + 21. Let o be b(z). Let i(x) = -5*x + 16 + 3*x - o. Let r(h) = 4*h. What is i(r(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4389035, -4389033, -4389029, -4389023, -4389015?\n\"Answer: l**2 - l - 4389035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 475, 472, 469, 466, 463?\n\"Answer: -3*u + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -45, -61, -77, -93, -109?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 14*a + 5. Let d be m(10). Let v = -25 - d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45.1 - -45. Let x = 0.3 - -3.7. Which is greater: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -111. Let v = -378.71 - -379. Which is bigger: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and -0.533921.\nAnswer: -0.17085472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 35, 26, 1, -46, -121?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**7\/14 - a**3\/6 + a + 3. Let d(b) be the first derivative of s(b). What is the second derivative of d(i) wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-2))\/(-12) - 6560\/(-192). Factor 153*d**2 + 9*d + 37*d + 12*d**4 + b*d + 103*d**2 + 24*d**4 + 228*d**3.\nAnswer: 4*d*(d + 5)*(3*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*h + 23, 0*h - 4*h + 2*f + 2 = 0. Let j = h - -2. Suppose o = -j*o + 65. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 145 = -2*k. List the prime factors of (-12)\/9*k\/(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108459 divided by -8343?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/10 - 27*s\/10 - 14\/5.\nAnswer: (s - 28)*(s + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1736, -3471, -5206, -6941?\nAnswer: -8676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 25 + 6 + (-13 + 19 - -13)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 781553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(12\/(-5) + 3). Suppose 5*d - 2*p + 73 = p, w*d + 38 = -4*p. Let m = -6 - d. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 15. Sort -1, 1, c.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5086, -10181, -15264, -20329, -25370, -30381?\nAnswer: -35356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -526 + 773. What is the second derivative of 3 - 2*z**4 + 3*z**4 - 2 + b*z**2 - 228*z**2 - 5*z wrt z?\nAnswer: 12*z**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5890191 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 287 = -107*a + 2177 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 109*u**2 + 109*u - 107. Calculate v(108).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 6c776d1?\nAnswer: 6c776d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2221112000?\nAnswer: -2221112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4792?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13641.4 millimeters?\nAnswer: 13641400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 337 + -337.3. Let s = 1 - -2. Which is the closest to s? (a) k (b) -2\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - (-3 + sqrt(2) + -1)) + sqrt(242) + -1)**2*-5.\nAnswer: -1485 - 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.94 - 20. What is o rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33 - (-6 + (-165)\/(-11)). Suppose -3*y - u + 10 = 0, 5*u + 10 = -y + 4. Solve -y*q - s = v + q, v + 8 = -q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(3 + sqrt(1900)*2 - 1*sqrt(1900)*-5)*-4)**2.\nAnswer: 672000*sqrt(19) + 148974400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310716 by 11508.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -552, -2203, -4948, -8781, -13696?\n\"Answer: g**3 - 553*g**2 + g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -23, -3, 31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87080, -174199, -261314, -348425, -435532, -522635, -609734?\n\"Answer: 2*v**2 - 87125*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + i**2 + 13. Let b(w) = w - 2. Let x be b(2). Calculate f(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -68*y + 20. Let j(f) = -29*f + 10. Determine 3*c(m) - 7*j(m).\nAnswer: -m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 - -133. What is the second smallest value in -0.3, 1, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, -13.\nAnswer: -13, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/4413 + -8792\/75021. Put k, 0, -1\/4 in ascending order.\nAnswer: -1\/4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1799439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1943*b - 1938. Let i be p(-1). Let l(f) be the first derivative of 0*f**4 - 1\/20*f**i - 1\/4*f**2 - 40 + 1\/4*f**3 + 0*f. Factor l(s).\nAnswer: -s*(s - 1)**2*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 + 2*l - 5. Let p(v) = 9*v**2 - 4*v + 9. What is 7*f(i) + 4*p(i)?\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(22295\/234)\/(-245)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 8. Suppose 0 = t*d - 8*d + 99. Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(-4)\/18*-6*(-150930)\/2340\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(9) + sqrt(108)\/(sqrt(72)\/sqrt(6))))\/(-5*(sqrt(3) + sqrt(3) + sqrt(21)\/sqrt(7))*-5).\nAnswer: -2*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g**2 - 3*g + 3. Let r be i(2). Let x = r - -6. Suppose -2*o + x*o = 35. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -1)\/1*-7. Let h = -3 - k. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -13. Suppose 5*j + 5 = v. Let x(i) = 35*i - 171. Let z be x(5). Solve j*u - z*h = -5*h + 2, 0 = -3*u - 4*h + 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1525*s + q - 10 = 1529*s, 3*s + 65 = -5*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1003104\/31 < -32358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n**2 + 9*n + 7. Let t be u(-3). What is the highest common divisor of t and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-21)*2)\/((-264)\/(-924)). Solve -1\/3*w**q + 0 - 2\/3*w = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5))\/((-14)\/(-35)). Suppose -36 = -3*r + 3*i, -r - 2*i = g*r - 41. Let k(z) = -2*z + 29. What is the smallest common multiple of 6 and k(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 23*k**2 - 36*k + 352. Determine i(24).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 + 3*j - 4. Let x be m(2). Which is the biggest value? (a) 5 (b) x (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125916572993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.222 - 0.078. Which is the second biggest value? (a) 7 (b) w (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = -18346. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 438 - 304. What are the prime factors of q?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 87747792*h\/5 - 962459375109408\/5.\nAnswer: -2*(h - 21936948)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*j - 9, -j + 5*v + 21 = -0*j. Solve -10*t = -j*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.27\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 141044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -108710 and -108709 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -78, -155, -220, -267, -290?\n\"Answer: t**3 - 84*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1723 and 141908003.\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 12*k**2 - 11*k + 7. Calculate q(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -16*o**2 + 15*o + 15. Let a(k) = -8*k**2 + 8*k + 8. Suppose -5*l - d - 50 = 0, l - 178*d = -181*d + 4. What is l*a(x) + 6*c(x)?\nAnswer: -8*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/156 - (930\/45)\/31.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*l**2 + 20*l**2 + 14*l**2 - 4*l**2 as v + c*l**2 + j*l and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by (-17 + 3 + -6)*(-15 + 6 - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0*z - 57. Suppose 1 + 15 = 4*t + a, -t - a + 4 = 0. Solve t*j - z = -3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105013 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzdzeqztztf. Give prob of picking 1 z and 1 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48194545.\nAnswer: 5, 7, 19, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x. Let z(n) = 3119*n**2. What is z(h(t))?\nAnswer: 49904*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - g + 41 = 0, -h - 5*g + 14 + 1 = 0. Suppose 0 = 9*f + 1270 - 1288. Calculate the smallest common multiple of (-103)\/(-15) + 8*f\/120 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53429566, 53429564, 53429562, 53429560?\n\"Answer: -2*p + 53429568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 30 = -5*f, -8*k + 3*k = -4*f + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 14 = -3*t. Suppose t = -4*i - 124. Let h = i + 159. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264846, 257539, 250240, 242955, 235690, 228451?\nAnswer: 221244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 8710.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.3 (c) -1021\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -88*o - 185. Let n be t(-16). Let v(i) = 1223 - 6*i - n - i**3 + 5*i**2. Give v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 - 141. Suppose -y*q - 20 = -5*q. Suppose u - 9 = -2*u. Put u, q, -5 in decreasing order.\nAnswer: u, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(-52) - 62*(-1)\/(-8). Let o(i) be the third derivative of i**6\/120 + 2*i**5\/15 - i**4\/6 - 2*i**3 + i**2. Is 10 a factor of o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 75 - 14 = 2*t, -5*t + 5*n = 185. Let s = 52 + t. Suppose 5*y - 129 = -5*m + 126, 0 = 5*y - 15. What is the greatest common divisor of s and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 8 = y. Let o(p) = p + 10. Let f be o(y). Solve 1 = -5*x + 6*x, f*q - 5*x - 7 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 3*d + 2. Let n be k(-2). Let j be (-239)\/(-180) - ((-4)\/n - 0). Let z = j - 7\/9. Put -5, 0.5, z, 0.2 in increasing order.\nAnswer: -5, 0.2, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8094 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.255 - -0.745. Which is smaller: -99.9 or p?\nAnswer: -99.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + h + 2 + 3*h - 2*h + 0*h + (2 + 0 - 1)*(0 + 2*h + 0) + 2 - 2 + 2*h + 15678*h + 15168*h - 33007*h + (3 - 3 - 2*h)*(-2 + 4 - 4) + 0 + h + 0.\nAnswer: -2150*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 1. Let t be (-221)\/273 - 32\/168. Let v(r) = 8*r - 8. Determine t*v(z) + 6*u(z).\nAnswer: -14*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.425919 months in millennia?\nAnswer: 0.00228549325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Let l be 7\/(35\/4)*h. Let k = l + -3. Solve c + 6 = k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 24. Let a(j) = 2*j. Let l be a(8). What is the greatest common divisor of l and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352\/44 - (-1 - -26).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 740 and 21682.\nAnswer: 216820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16953, -16952, -16951?\nAnswer: -16950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 4134 - 3291 = -21*q. Calculate the highest common divisor of 297 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f - 473 + 33 = 0. Put 3, f, 0 in ascending order.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/3251910 and -127\/90.\nAnswer: 9755730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504559 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 77. Let r = f + -23. Let t = 93 + -98. Which is the closest to -4? (a) t (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12. Let y(r) = 2*r + 3. Let u be y(-3). Let l be (0 - -4)*u\/18. Sort 2, a, l in ascending order.\nAnswer: l, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.149*3.\nAnswer: 0.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -226.9, -2\/15, 1\/2577 in ascending order.\nAnswer: -226.9, -2\/15, 1\/2577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from samasaasaamaaamaas. What is prob of picking 2 s and 1 m?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 3, u: 5, a: 1}. Give prob of picking 2 u and 2 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-12))\/(3*(-1)\/60). Solve -o*q = -10*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmuumm.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -53. Let q = 135 + s. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -5*u**4\/24 + u**3\/2 - 20*u**2 - 3*u. Let p be (13\/2 - 1)*-2. Let l = 13 + p. What is t(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -401, -925, -1659?\nAnswer: -2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225*f**2*r - 273*f**2 - 221904*r wrt f.\nAnswer: 450*f*r - 546*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 277 in -4, -1, -1\/62?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 820 - 823. What is the nearest to h in 5, 2, -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8976.371ml in litres?\nAnswer: 8.976371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3. Let c be (p - -2)\/(-6)*-1. Put c, 0, -4 in decreasing order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/5 + 95262*y**3\/5 + 285792*y**2\/5 + 285794*y\/5 + 19053.\nAnswer: -(y - 95265)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvafaaavavaff. What is prob of sequence fv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20878651, -20878653, -20878655, -20878657, -20878659?\n\"Answer: -2*i - 20878649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**2\/11 + 9781146*t\/11 + 117374616\/11.\nAnswer: -6*(t - 1630203)*(t + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 - 10*k - 15. Let n be 2028\/42 + (-2)\/7. Let m(i) = -n - i + 0*i + 47. Let b(x) = -10*m(x) + u(x). Let b(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*q - 6108 = 772 for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = 4*s. What is the tens digit of (s + 12 + 0)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -4, 1 in decreasing order.\nAnswer: 9, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19192 - 27.10808. Which is the second smallest value? (a) -2 (b) f (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3\/4 + 3*m**2\/4 - 18*m + 27 = 0 for m.\nAnswer: -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 12, k: 1}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -86 + 1\/24*k**4 - 1\/6*k**3 + 0*k + 2*k**2 + 3\/20*k**5. Give b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b - 18. Let s(o) = -3*o - 1. What is the remainder when s(-6) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**39*((s\/s**(3\/7))\/s)\/s**(-2\/7) assuming s is positive.\nAnswer: s**(271\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n**2 - 4*n. Let g(h) = -5*h**2 + h. Suppose 40 - 32 = -4*w. Determine w*y(z) - 7*g(z).\nAnswer: 3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/10*(-9)\/(306\/85).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*k - 573*c**3 - 7*c**2*k - 2749*c**2 + 240*c*k + 7*c + 126*k with respect to k.\nAnswer: -c**3 - 7*c**2 + 240*c + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 795 and 18020.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + -5 + 4 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(1 + 2 - 2)*(-o**3 + o**3 + o**3) - 3*o**2 + 3*o**2 - o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 8*q - 607. Let k be t(21). Let x(s) = -s**3 + 6*s**2 - 6*s + 7. Let h be x(5). Solve h*i = 3*i - k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**2\/2 - 5763*v\/2 + 364140 = 0?\nAnswer: 136, 1785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2113 (base 4) to base 2\nAnswer: 10010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204724562.\nAnswer: 2, 7, 41, 356663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191874525 is divided by 14759578.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 29*x + 2*x + 4*x + 5*x + 5*x + 37*x**2 as a + n*x + q*x**2 and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 2187*c + 2194*c + 123, 3*c + 62 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (358*k - 480*k + 0*k**2 + k**2)*(2*k**2 - 4*k**2 - k + 0*k**2 - 1) to the form c*k**2 + n*k**4 + i + v*k**3 + j*k and give c.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (7 + -13 - -7) - 0) + -19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1764 and 46751292.\nAnswer: 46751292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 4*g + 15. Let p be n(6). Let s(b) be the first derivative of 2*b**3\/3 - b**2\/2 + b + 1. Does 4 divide s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -315 (b) -3 (c) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**2\/7 + 2048*v\/7 - 292 = 0.\nAnswer: 1, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2474181\/(-18))\/(19\/(-76) + (-3)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 29 - 9 = 0, -3*r - 16 = -4*c. Suppose 4*w - 1443 - 1381 = r. List the prime factors of w.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 13. Let t = 172 - 43. Let u = t - 124. Let r be g(u). Solve 3*i - 2*j = 1, 2*j + r*j = -3*i - 34 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 207 = 27. Calculate the greatest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348236603.\nAnswer: 3, 7, 7133527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-15)\/(-3) - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -59, -61, -53, -35, -7, 31?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.5 (c) -2898\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 25*y - 4. Let p = y + -5. Let n(g) = -g. Calculate n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*z + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k + 1306*h - 1304*h + 10, 0 = -2*k - 3*h + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**32*a*a\/(a*((a**32\/a*a)\/a)\/a*a)*(a**(1\/16)*a)\/a**37 assuming a is positive.\nAnswer: a**(-543\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 - -91. Let n be 4\/14 + 207\/j. What is the closest to -0.1 in n, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58207\/876 + -33\/292. Are c and 67 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568928611 to the power of 1\/3, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 382*g**3 - 4*g**2 + 24*g - 274. What are the prime factors of w(6)?\nAnswer: 2, 13, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 231 = -i, 0 = -5*l + 4*i + 579. Calculate the greatest common factor of 35 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177453891.\nAnswer: 3, 19717099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9188*j + 36997. What is n(4)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n + 35*n + n**3 + 37*n + 33*n.\nAnswer: n**3 + 91*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*x + 16. Is (-332)\/x + (-12)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p - 10. Let n be k(-2). Solve 0*q = -2*q + n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5323184 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/34)\/r*r*r*r**(-3\/5)*r)**12)**(-6) assuming r is positive.\nAnswer: r**(-8028\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f - 2*f - 3 + 6*f. Is 5 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from {v: 17, w: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3215 - r - 7321 + 3019.\nAnswer: -r - 1087","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:26 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 23 = -v + 5*v, 0 = -5*v - 4*q + 15. Let o(b) = v*b - 15*b**2 - 4*b + 16*b**2 + 3 + 4*b. Does 3 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.4 + 14. Let k = 114.7 - 115. Let d = 1.3 + -0.3. What is the closest to d in k, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331860 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 5*b - 3, -3*u - b = 7. Is u*3\/6*-77 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 377 - 372. Solve -s = -3*d + j, 5*d - 5 - 15 = 4*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrdfrrffrrrrrrrdrr. What is prob of sequence rdfr?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6292 in 2, 50, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:58 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 4*l + l - 3*l + 2. Let d be a(-3). Suppose -10*y = -513 + 53. What is the highest common divisor of d and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5928 or 972095\/164?\nAnswer: 5928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 114736.0347 rounded to the nearest one hundred?\nAnswer: 114700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*f - 500*f - 105*f = -8728 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3730 by 10.\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62a134 + 3?\nAnswer: -62a131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5355161 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(95) + (sqrt(95) - sqrt(95)*-2)*6)\/((sqrt(20)*1*-1)\/(sqrt(324)\/sqrt(9))).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0408 + -525.\nAnswer: -524.9592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 356 - 328. Suppose -h - 5*i = -d, -5*h - 3*i = -7*i + 5. Solve -h*s = 5*r + 23, -2*r - 3*r = 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8523 or -156\/235?\nAnswer: 8523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*l**5 - 24\/5 - 4*l + 32\/5*l**2 - 8\/5*l**4 + 24\/5*l**3 = 0. Calculate l.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -446 - -672. Let s be (-3)\/12 - w\/(-8). Factor 11*f + f - 8 + s*f**2 - 32*f**2.\nAnswer: -4*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*698004.4\nAnswer: 7678048.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5)\/(h*((h\/h**(1\/6))\/h)\/h))**(5\/11))**30 assuming h is positive.\nAnswer: h**(-35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5394 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445100036.\nAnswer: 2, 89, 1250281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3194327713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/81 + 17518\/171. What is the highest common divisor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117037 is divided by 23352?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgssggs. What is prob of picking 3 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -1. Let o be 1 - (0 + 92\/(-21)). Let i = o + -33\/7. What is the closest to 1\/4 in i, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-59)\/(-2))\/((-4)\/(-4)). Let t = i + -185\/6. What is the third smallest value in -3\/5, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -120. Is u smaller than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*j - 138*j + 21*o - 46 = 18*o, o = -3*o + 48 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 107298 + 27790 = 27*y. Is y composite?\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 11:46 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-10)\/(-4)) - -3. What is the third derivative of 7*n**2 + 2*n**f - 5*n**2 - 4*n**5 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*j = 27, -5*l - 49 = 2*j - 16. What is the nearest to -1 in 1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 18 = 3*c. Let y = c - -4. Is (66\/15)\/((-1)\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. What is the lowest common multiple of (-27)\/(-3) - (0 + d) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/20 - g**3\/6 + 29*g**2 + g. What is the units digit of i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -4*((-4)\/2)\/((-480)\/(-376200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2. Let m(q) = 4*q**2. Let y(h) = -2*m(h) - 3*w(h). Let z(n) = -13*n**2. Calculate z(y(v)).\nAnswer: -637*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 2*b + 74. Let g = -46 - b. Suppose 2*l + 4*o - g = -4, -4*o = 4*l - 48. Solve -j - l = -2*r - 3, 0 = -2*r + 5*j + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -2, 627, 1516, 2677, 4122, 5863, 7912?\nAnswer: 10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 674*z**2 - 2*z + 5*z**3 + 674*z**2 + 0*z in the form y*z**3 + j + h*z**2 + u*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*s, -5*b + 3*s + 24 + 45 = 0. Solve -37 = 5*p - b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -5 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.4, -3, 0, 3, 12, 20\/11, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100 + -10101001001010?\nAnswer: -10100001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d - 5\/2*d**2 - 1 + 1\/3*d**3. Calculate n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44974 = 1406*s - 40469 - 3135 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 2 - -6)\/((-6)\/12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g - 3*g)*(-8 + 3*g**2 + 235*g - 235*g).\nAnswer: -6*g**3 + 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 i, and 1 f when four letters picked without replacement from ziffeihefi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 419017286 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: Is 15 a factor of 322594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 25*t**2 + 2*t + 2. Let g = 85 - -7. What is the remainder when g is divided by y(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*p**2 + 17747687 - 17747687.\nAnswer: 126*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -12, -1 in decreasing order.\nAnswer: 0, -1, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22008521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75, 5\/3, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-11 - -5) + 1 + 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2 - 2)\/(-2). Suppose l - 4 = -4*g - w, -5*l = -20. Let c be 36\/(-2) - (0 + g). Round c to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (880 - 910) + (-18 - 1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -5*z + j - 6*j - 87, 4*j + 36 = 2*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.145 + 16.245. Let v be 96\/(-46) - (-3 + 1). Let w = 11 + -9.6. Which is the biggest value? (a) w (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(240)\/(sqrt(10)*-1 - sqrt(10)))\/sqrt(12) + (sqrt(224) + sqrt(224)*2 - sqrt(224))\/sqrt(7))**2.\nAnswer: 361\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n + 0*n)*(n - 1 + 1) + 2*n - 2*n - n**2 + (0*n + 5*n - 3*n)*(-3 + 3 + n) + 14 + 8*n**2 - 14.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.187 + 0.23208. Let d = -37 + 37.046. Let z = d - g. Round z to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 109 + 7*d - 102 - 153 in the form g + o*d and give g.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-8)*(-16)\/12. Is -2\/9 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -34692*f**2 + 15*f - 62. Let x be o(18). What is x rounded to the nearest one hundred thousand?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91399527 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65780.9l in millilitres?\nAnswer: 65780900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*k - 80*k - 528. Let q(n) = 47*n**2 - 133*n**2 + k*n**2 + 49*n**2 + 2. Let v(t) = 4*t. Determine v(q(m)).\nAnswer: 28*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 85. Put -1, 4, o in increasing order.\nAnswer: -1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.23 + -0.23. What is the third smallest value in -0.4, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 8 = 5*r - 2*y, -4*y - 22 = -3*r. Suppose -j - 2*w + 3 = 0, -j + 4*w + 12 = 3. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2\/4 + 25*r\/4 - 27\/2 = 0.\nAnswer: -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(-16*c - 69359 + 69375 - 17*c).\nAnswer: -99*c + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -34, -0.4, 5, 104, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 502 (c) -4 (d) -2371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/112 - (-4)\/14. Suppose -147*m + 3*m - 738 = 102*m. Which is the smallest value? (a) m (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 16 + 9 + 7.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 48 (b) -2\/5 (c) -2080.606\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*t = 5, 47*h = 52*h - t - 25 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25197 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 692689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxx when three letters picked without replacement from xxxxxxzx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -16\/5, -4, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.862 and -7?\nAnswer: -6.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 64 = -21*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2\/11 (c) -2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*k = 4*c - 320, -4*c + 256 = -k. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Suppose 0 = 2*u + 1 - 3. Let s(j) = -6*j - 4. Let h(m) = u*s(m) + 3*w(m). Calculate h(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9135455.2 rounded to the nearest one hundred thousand?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 102*a**2 - 210*a - 106.\nAnswer: 2*(a - 53)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let x be (2 + t)\/(6\/4). Suppose -x*y + 0*y = -12. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (-10 + -290*4\/(-120))*(-84)\/(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w. Let m(p) = 20*p. Let v = 8 + -13. Let a(b) = v*m(b) - 32*k(b). Let h = -128 - -124. Determine a(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -462. Let d = u - -205. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52435 by 1.\nAnswer: -52435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qob when three letters picked without replacement from qwoba.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2 - 6*w**2 + 0*w**3 + 0*w**2 + 3*w. Let l = 335 - 121. Let b = -209 + l. Determine o(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 18*v + 18*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -946 divided by 86?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12917 less than 123999?\nAnswer: 136916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 18 = -4*c, 0 = 2*z - c - c - 14. Suppose 2*a - 5*a - 5*u = -16270, -z*u + 4 = 0. Round a to the nearest one hundred.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-6)\/(-18))\/((-78)\/5733)*1\/2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3*3\/(-120))\/((-162)\/378) and -9\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 13*s**2 + 22*s - 8. Let h be j(11). Let r be (h\/(-12)*3)\/((-8)\/(-16)). Suppose 0 = -4*x + 2*x + 30. Solve r*m - x = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.1 (c) -1661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 611 in -2, -1\/4, -3, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20990 and 70?\nAnswer: 146930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4606)\/(-644) - (4 + 24\/6). Let w = 667 - 15349\/23. Let m = a - w. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795 divided by 43?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5))**(9\/10)\/((b\/(((b\/(b*b**(2\/3)*b*b))\/b)\/b))\/b)**(1\/8))\/((b\/b**(-2\/5))\/(b*b**(-4)))**(-43) assuming b is positive.\nAnswer: b**(56747\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75 + -18?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4 - 12) + (-2679 - -2650)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*j**4 + 40*j**4 - 12 - 84*j**4 + j**3 as y + r*j + z*j**3 + s*j**2 + m*j**4 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13229? (a) 0.1 (b) -461 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcrkkkrrrrckkkkrckk. What is prob of sequence rckk?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -27*q**4 + 5118*q**3 - 10155*q**2 + 5064*q = 0.\nAnswer: 0, 1, 1688\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.1 + -56.6. Let v = 23\/7 - 559\/168. Sort v, w, -1\/11 in ascending order.\nAnswer: w, -1\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.062 + 0.038. Which is the closest to m? (a) 0 (b) 0.08 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1592)\/13930)\/(24\/15)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + -3.8. Let z be (-2*1\/12)\/(0 + 1). What is the closest to -1 in m, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) -1 (c) 1\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 387, 389, 391, 393?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1688, 1689, 1690, 1691?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 6151 + 28723. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 596672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3394.026 grams to milligrams.\nAnswer: 3394026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7)*(-777)\/(-74). Solve -o + 6*o = 3*a - 17, -t*a = -3*o - 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47313 * 80\nAnswer: -3785040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146002*x**3 - 3282630*x?\nAnswer: 876012*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 994765301 to the power of 1\/3, to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 656806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 28. Let k be 38\/3 + 10\/(-15). What is the smallest common multiple of w(k) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b59297 - 1?\nAnswer: -3b59298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22)*-4 - sqrt(22)*-1*-4)\/(-2*sqrt(8) - sqrt(108)\/sqrt(6)).\nAnswer: 12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Which is the nearest to -3? (a) -0.3 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -89\/6*l**4 + 0 + 32\/3*l**3 - 4*l**2 - 9*l - 17\/5*l**6 + 103\/10*l**5 + 3\/7*l**7. Find h such that w(h) = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/17)\/a)\/a)\/(a*a\/(a**(-7)\/a)))\/(((((a*a**(-6))\/a*a)\/a)\/a)\/a*a**(1\/15)) assuming a is positive.\nAnswer: a**(-1067\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + 51\/7. Suppose 2*r + 1 = d. What is the second derivative of -3*q**3 - q**r + 0*q + 4*q + 2*q**3 wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 43, -18, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14734*h**4 + 10670 wrt h?\nAnswer: 58936*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**3 - 2 + 2)*(-23*z - 31 + 31)*(6 - 13 - 47) in the form v + q*z**2 + r*z**4 + t*z + c*z**3 and give r.\nAnswer: 2484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -258.6? (a) 98 (b) -2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -22. Which is greater: 12 or m?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + -4 + 5*(sqrt(343) - sqrt(343)*3*-2) + 4 + 3.\nAnswer: 2 + 245*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/422 - -853\/1266. Let u = 8\/47 - -37\/611. Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((0 - 1) + -2). Let m be b\/2*(-24)\/(-9). Suppose m*u + 6 = 50. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 17*d**2 + 28*d - 23. What is the remainder when 109 is divided by u(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313.7 * 1467.\nAnswer: 460197.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -12535 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/120 + 3*f**5\/20 - f**4\/6 - f**3\/2 - f**2. Let h be a(7). Suppose -3*o = -h - 2. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -276, -551, -826, -1101, -1376?\n\"Answer: -275*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 134, 140, 148, 158, 170?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 4*l + 3. Let j = -94 - -59. Let r be (-38)\/7 - (-20)\/j. Give p(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38259, -38252, -38235, -38202, -38147, -38064?\n\"Answer: j**3 - j**2 + 3*j - 38262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8862 - -8872. Solve 0 = 257*k - 267*k + m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 3130001110?\nAnswer: 3130001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 5:41 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4725*m - 4112. What are the prime factors of y(-11)?\nAnswer: 23, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:24 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/135)\/((-1204)\/62307)?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 28*b**5\/5 + 2*b**4 - 112*b**3\/3 - 16*b**2 - 23. Factor y(j).\nAnswer: 4*j*(j - 2)*(j + 2)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3428235 rounded to 4 dps?\nAnswer: -0.3428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 119, 199, 293, 407, 547, 719?\n\"Answer: p**3 + p**2 + 70*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1313 + -1201. Calculate the remainder when 547 is divided by p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001178828695 to 7 dps.\nAnswer: -0.0001179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 10*f + 9. Let s be o(6). Let k be (-7)\/(s\/(-138)) + -2. Suppose -2*u = -0*u - k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/3 + 13566830*m\/3.\nAnswer: 5*m*(m + 2713366)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -40604?\nAnswer: -1\/40604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.028 and -5102996074615.\nAnswer: -5102996074615.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000057706951 to 6 decimal places.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 1, s: 3, b: 1, u: 1, m: 1}. What is prob of sequence nsus?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 3*t + 16)*(5 + 3 + 4).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1916 + 1922. Solve -u*y + 39 = 7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**3\/3 + 30*p**2 + 245*p - 231. Give b(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 49*s**2 - 1 + 1 + 22*s**2 - 72*s**2. Let y(f) = -8*f**2 + f. What is g(y(w))?\nAnswer: -64*w**4 + 16*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 26*b**2 + 16*b**2 - 2*b**2 as g*b + y*b**2 + k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132105 is divided by 159.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 + (-11)\/(-5). Suppose -q*i = 3*i + 5. Which is greater: i or -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153.308 - 8.308. Which is the third smallest value? (a) 2\/9 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*f = 0, 5*f = -i + 3*f. Suppose i = -n - 45 + 47. Let c(y) = -y**3 + 4*y**2 - 5*y + 5. What is the units digit of c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-6)\/(-2))*(-1)\/10*-10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3416015, 6832029, 10248043, 13664057?\nAnswer: 17080071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -1\/3 (c) -46 (d) 5 (e) -1355 (f) 6\/11 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1518, 0 in increasing order.\nAnswer: 0, 5, 1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/536 and (-3497)\/(-36582) + (-3)\/(26 + -5).\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -12. Let s(w) = -3*w**3 + 4*w**2 + x*w**3 + 4*w - 6*w + 3. Let l be 5 - (2\/4)\/((-13)\/(-26)). What is s(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*x - 2, -74*x = 3*t - 77*x - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50005 (base 8) in base 13?\nAnswer: 942a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29167845 to the power of 1\/2, to the nearest integer?\nAnswer: 5401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 7 = 4*z, -2*l = 3*z - 4. Suppose 5*g + 2*x = -x + 13, -5*g + l*x = -5. Sort g, -5, -4 in increasing order.\nAnswer: -5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -31. Let s(q) = -25*q - 40. Let m be s(2). Calculate the smallest common multiple of 22 and (4\/t*6)\/((-36)\/m).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:23 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*g + 4 = -4, 3*g + 20 = -4*f. Suppose 1 = -r, 2*r - 33 = -h - 4*h. Let l(q) = -3*q + 6. Let o(t) = -t + 2. Calculate f*l(m) + h*o(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/2 - 23*j**3\/2 + 137*j**2\/2 - 265*j\/2 + 75 = 0.\nAnswer: 1, 2, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -81c (base 14) in base 5?\nAnswer: -22334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248*r**4 - 7048*r**2 + 7807018*r?\nAnswer: -2976*r**2 - 14096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22583301*b**5 - 5810560*b**2?\nAnswer: -1354998060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1709*g - 1707*g = -15*m - 2, 8*g = 2*m - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 33. Let z = 8 + f. Suppose l + 2*r - 25 = 0, 0 = -l - l + 5*r + z. Calculate the remainder when 96 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932799848?\nAnswer: 2, 29, 347, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 978, 34, 3\/2, -5 in increasing order.\nAnswer: -5, -4, 1, 3\/2, 34, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 7180?\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 7*v**5\/5 - 1048599*v**4\/5 - 3295686*v**3\/5 + 2996006*v**2\/5 + 8089407*v\/5 - 1348227 = 0.\nAnswer: -3, -15\/7, 1, 149803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6419 and 6272.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -101012?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18973590 divided by 18973590.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8154213 is divided by 420?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5167 is divided by 3204.\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 0, 33, 253, 3, -5 in decreasing order.\nAnswer: 253, 33, 6, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 1 + 4*p + 2 - 2.\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 162*w + 1344. Let n be i(13). Calculate the highest common factor of n and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 9*x - 7 = 0. Calculate the remainder when -17*(-1 + 2)*-1 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47.51684 millennia?\nAnswer: 47516.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -365249965\/8 less than or equal to -45656246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-91)\/21) + (-2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2, -10*l - 6 = -4*y - 8*l. What is the highest common divisor of 163 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(5\/(-3))*51\/(-17). Solve 5*a = -5*x + n*a + 28, -x = -5*a - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 - 27*m**2 + m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720 is divided by 121.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/6 + 1 + -2. Let g = 0.3 - 0.8. Which is the closest to -0.1? (a) s (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1134 - -1743. Let i = x + -605. Which is the nearest to 0? (a) i (b) -1\/2 (c) 0.35 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 3, f: 4, n: 12}. What is prob of picking 1 n and 1 f?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 2, 8, -36, 10 in decreasing order.\nAnswer: 10, 8, 2, -3, -12, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, e: 1, a: 3, r: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9)*i*i)\/(i*i**(-2)))\/(i\/i**(-5\/2)*i*i**(-5)\/i) assuming i is positive.\nAnswer: i**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55446, -55391, -55336, -55281, -55226?\nAnswer: -55171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189098159 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/((-8)\/12). Let m(u) = 11*u. Let i be m(d). Let h = i - 11. Solve h = -2*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 121200?\nAnswer: 121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -1\/12*l**4 + 1\/3*l**3 - l + 0*l**2 - 2. Let m(s) be the first derivative of c(s). Factor m(k).\nAnswer: -k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 398*i - 499. Let u(s) = -45*s**2 + 3580*s + 4465. Let v(l) = 35*g(l) + 4*u(l). Let v(q) = 0. Calculate q.\nAnswer: -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -8. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503 times 46748\nAnswer: 23514244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*x - 3*x. Let l(s) be the second derivative of s**4\/12 - s**2 + 8*s. Let f(n) = n**2 - n - 1. Let y(w) = 5*f(w) - 4*l(w). Determine y(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 763*c - 621. Is q(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/121 - -347\/605. Let o(c) be the first derivative of 1\/10*c**2 - 1\/15*c**3 - 10 + d*c. Factor o(m).\nAnswer: -(m - 2)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i = -22*i - 82. Suppose -3*y + 3*s = -537, 5*s = -3*y + i + 431. Calculate the greatest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/2 + 5622087*d\/2 + 8433144 = 0. What is d?\nAnswer: -3, 1874032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10032121231 (base 4) in base 8?\nAnswer: -4163155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 43 - 145 - 192*l + 44 + 60.\nAnswer: -203*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-143) + (-6)\/143*3. Let k = 17.1 - 17. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*o**5 - 3*i*o**3 + 5202*i*o**2 + 56*o**6 wrt o?\nAnswer: -120*i*o**2 - 18*i + 6720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (((sqrt(539) - sqrt(539)*-1) + 0)*5)**2 + 2 + (sqrt(539) - 2*(sqrt(539)*-2)**2) + 1 + 1.\nAnswer: 7*sqrt(11) + 49592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2064 and 1901718.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2454 + 4655*s - 2454 in the form p*s + y and give p.\nAnswer: 4655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**2 - 6*s + 7. Determine l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 4, -2, 14 in increasing order.\nAnswer: -20, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 9*c**2 - 14*c + 1. Determine q(-9).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 4\/7, -3, 15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x**3 - 27*x**2 - 3*x. Let m(c) = 10*c**3 - 27*c**2 - 4*c. Let z(o) = 4*l(o) - 3*m(o). Find the third derivative of z(k) wrt k.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1, l: 9, o: 4, g: 1}. Give prob of sequence ll.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 861488.2*-2\nAnswer: -1722976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 1, v: 9, y: 4, r: 2, s: 2}. What is prob of picking 1 y and 1 z?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 519, 1745, 4125, 8043, 13883?\nAnswer: 22029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n - 2*n**2 - n**3 + 2*n**2 + 15*n**2. Let u be c(14). Do u and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/5)*k\/k**(1\/7))\/(k\/k**1)**(-12\/11))\/((k**5*k*(k\/(k**(-4\/3)\/k*k))\/k)\/(k*k**(-2\/11)*k*k**5)) assuming k is positive.\nAnswer: k**(1088\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231477 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Which is greater: q or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.508 - 0.208. What is the third biggest value in 3, n, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1239, -1250, -1273, -1314, -1379?\n\"Answer: -m**3 - 4*m - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 202 - 10*l - 101.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -0.2.\nAnswer: -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 - 22184*l**3 - 1726296*l**2.\nAnswer: -2*l**2*(l + 78)*(l + 33198)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -332*c - 23787. Determine u(-72).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from gggggwwggggg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 38 in decreasing order.\nAnswer: 38, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 256635.8.\nAnswer: -1026543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/30340 and 23\/255.\nAnswer: 1547340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/(-434)*(-63)\/(-6))\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 582.5627km?\nAnswer: 58256270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -1, -200, -6, 10 in increasing order.\nAnswer: -200, -6, -4, -1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4704)\/9947*-29)\/(4\/(-14)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116063 - -3.\nAnswer: 116066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459527 is divided by 125.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -118*a + 7697. Calculate x(65).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168 - -2462?\nAnswer: 2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 6) + 4 - (11 + (-4 - -3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 4:16 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 195449.\nAnswer: -58634.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127727 by 8.\nAnswer: -127727\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10456.4 to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. Find the common denominator of (-26)\/24 - (-3 - 43)\/23 and 382\/(-24) + (-2)\/t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5061, -10116, -15167, -20214, -25257?\n\"Answer: 2*y**2 - 5061*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 207. Let a = k + -73. Does 8 divide (a + -10)\/((2 + -3)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.76923 + -0.66923. Let h(x) = 2 + 0 - 1 - x**2 + 3*x. Let b be h(4). What is the third biggest value in b, 2, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2962 + -2926. What is the highest common divisor of t and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 3)\/(-2) - -3. Suppose -2*u + q = -91, a*q - q + 6 = 0. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6271 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 9.2. Let g = -7 - m. Is g less than -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 10) to base 7\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 187 - 725. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6018464 (base 9) to base 6.\nAnswer: 152341221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -5*k**3\/3 + k**2\/2 - 3*k - 5376. Let j(r) = -6*r**2 + r - 3. Determine -4*i(c) + 3*j(c).\nAnswer: 2*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5 - 3414*o**4 + 1298280*o**3 - 156421200*o**2 - 6858690000*o + 1370670180000 = 0.\nAnswer: -82, 110, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7927 - -8063. Calculate the greatest common divisor of l and 952.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**(-42)*(m**(1\/3))**(5\/11)*((m*m**(-3\/7)*m)\/(m*m*m\/((m\/(m**(-1\/2)*m)*m)\/m)*m*m*m*m*m))**(-43) assuming m is positive.\nAnswer: m**(79039\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 2)*(-11174 + 11174 - 235*z**3) + 2 - 2 - 2*z**3.\nAnswer: -1412*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3) - sqrt(24)\/sqrt(2)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069094619 rounded to five decimal places?\nAnswer: 0.00691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72008 - 360032\/5. Factor -6\/5*m**2 + d*m - 2\/5*m**3 + 24\/5.\nAnswer: -2*(m - 2)*(m + 2)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**5 + 216*p**4 - 33*p**3 + 6*p**2 - 99635*p?\nAnswer: 240*p**2 + 5184*p - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2243 = -4*o - 2161. Let a = -40743\/37 - o. Let g be 1\/(((-6)\/15)\/(-3 + (-17)\/(-5))). Is a not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r - 27. Let w be k(-11). Let u(i) be the first derivative of i**2\/2 - i + 1. Let o(l) = 1. Let p(a) = o(a) - u(a). Determine p(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/11 and -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 6 = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q + 71 = 3*i, -4*i - 2*q + 138 = 0. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166101 divided by -12?\nAnswer: -55367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17*1*5\/(-8). Let g = -2866801\/24 - -119430. Let i = g - p. Find the common denominator of -65\/14 and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - 139 + 508. Let k = 193 - t. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7119)\/(-3051) - 113\/(-3)) + -22\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17825 by 5.\nAnswer: -3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 7. Let z(y) = 2*y - 8. Let u be -2 - (-2 + 5 - 104). Let r = -93 + u. Determine r*z(c) + 7*w(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v - 295. Let t be o(30). Solve 5*z = -t*i - 24 - 6, 0 = -5*z - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 4*k. Suppose -h + 3 = -0. Let f be p(h). Let d(m) = m**2 + m - 4. Let j be d(f). Solve 0 = 3*b - 5*b + j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*w + 142*w + 169*w + 184*w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6621169907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-407*i - 540*i + 689*i)*(-3 - 1 + 6) + (-1 + 3 + 0)*(0*i + 0*i - 2*i) - 3*i + 0*i + 4*i to s + u*i and give u.\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 84970 plus -2.415?\nAnswer: 84967.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15516 or 23903?\nAnswer: 23903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/120 - k**5\/60 + k**4\/24 + 3*k**2. Let b(p) = -5*p**3 - p**2 + p - 1. Determine b(l) - w(l).\nAnswer: -4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -y + 16, 7*y - 5*y - 20 = -5*r. Suppose -3*q - 3 = y, c + 4*c = -3*q + 932. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-124)\/(-6) + 2\/6. Suppose -3 = 3*c - 15. Suppose -j = -c*z + 3. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 14 + 4 + 196\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 106*i - 300.\nAnswer: -2*(i + 3)*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2071, 1\/16, -259 in decreasing order.\nAnswer: 1\/16, 1\/2071, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, d: 1, e: 2, c: 4, r: 1, n: 7}. Give prob of picking 1 n, 1 d, and 1 r.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 - -117.67. What is the smallest value in t, -0.3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10136 divided by -7.\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {p: 4, g: 1, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*3)\/(sqrt(880)\/sqrt(5)) + -3 + sqrt(396)*2*-3*3.\nAnswer: -435*sqrt(11)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88 or 175\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1106*h + 1106*h - 14*h**3)*(-3*h + 4*h + 2*h) as l*h**4 + k + s*h**3 + i*h**2 + c*h and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 42768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let u(h) = h - 2. Let o be u(8). Let a(x) = 5*x - 6. Let t be a(o). Suppose 0 = 2*c + 2*n - t, 0 = -0*n - 4*n + 8. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 9*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/2076093 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/4 - 19*r**3\/3 + 13*r**2\/2 + 20*r + 21. What is the tens digit of z(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o**3 - 1380*o**2 + 212*o - 78. Give k(106).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-68 - 12*l**2 + 68)*(2*l + 2*l - 5*l)*(2 - 1 + 2) to the form x + h*l + q*l**2 + v*l**3 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9649, -9191, -8733, -8275?\nAnswer: -7817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 479, 36000 in ascending order.\nAnswer: -4, 1, 479, 36000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32178.36 meters to kilometers.\nAnswer: 32.17836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 125.\nAnswer: -7\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let f(n) = n**2 + 9*n + 3. Let t(b) = -f(b) + 6*u(b). Let x be t(-7). Solve 2*o + 3*o = x*c + 20, -16 = -4*o - 5*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v**5 - 11*v**5 + 7*v**5 + (-4*v + 4*v + 2*v**4)*(37*v - 80*v - 62*v))*(1 - 4 + 1).\nAnswer: 380*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - (-5 + -2))\/((-2)\/464). What is the greatest common factor of 754 and p?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-i**2 + 2*i**2 + 2*i**2) - 2*i**2 - 4*i**2 + 2*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 2*j**2 - 2*j + 5. Determine x(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.9 (c) -2320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 1. Let h be z(2). Suppose 5*q - 66 = -3*l - 11, 0 = -h*l + 4*q + 141. Let k = l + -13. What is the remainder when 45 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335445?\nAnswer: 3, 5, 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 824 and 263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 1. Let j be b(3). Suppose 46 = -3*z + j*z. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t + 0)*(-3 - t**4 + 3) - 2*t**5 - t**5 + 4*t**5 - 180*t**4 - t**5 + 8 + 180*t**4.\nAnswer: -2*t**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*d - 17 = 28, 2*d - 10 = 0. Suppose -3*n + l = -r - 0, 0 = -5*l. Calculate the greatest common factor of 110 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 14 = -34. Let x be n - (-26)\/5*(-1 - -66). Suppose -108 = 5*p - 4*m - 959, 2*p = 2*m + x. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = t + 2*k, t - k + 6 = 7. Let o(r) = -r**3 + r**2 + 2. Let x be o(0). Put x, t, 1, -5 in increasing order.\nAnswer: -5, t, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/30*q**4 - 1\/15*q**3 + 0 - 8*q + 0*q**2. Factor r(y).\nAnswer: 2*y*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.08 (c) 1 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u + 33 = 3*f - 82*u, -5*f + 3*u = -55. What is the remainder when 118 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, 4, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26360828647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 459055.4726?\nAnswer: -459033.4726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 10, 37, 86, 163, 274, 425, 622?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*n*p + 26220*c*p**2 + 41*n*p - 70*p**2 wrt c.\nAnswer: n*p + 26220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-10) + (-1)\/(-5). Let m = 8 - u. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8082 divided by 18?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -10 (c) 7 (d) -1 (e) -0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsi when three letters picked without replacement from wuirsrv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5358577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0 + 0*j**3 + 0*j**6 + 7\/24*j**4 - 5\/168*j**8 + 0*j + 0*j**7 + 10*j**2 + 0*j**5. What is the second derivative of r(w) wrt w?\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 29223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 3*b = -84 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/66)\/(-7) - (8 + (-552)\/99)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3 - 2 - 1 + 3*o. Let u(h) = 4*h. Calculate -5*n(l) + 4*u(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 - 4*u - 6. What are the prime factors of h(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149821 = -11774*i - 274043 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Let f(d) = 3101*d**2 - 369*d**2 + 461*d**2. Give n(f(y)).\nAnswer: 10195249*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 w when three letters picked without replacement from jwqjjwjiifqpj?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 g when four letters picked without replacement from {z: 4, g: 7, w: 2}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 60 (b) 3 (c) 1\/327 (d) -3\/4 (e) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1379 = -19*x - 1626 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57863 + 29135 + 28728 + 5*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)\/f*f)**1 assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4933 - -4975. Is o less than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s - 4*s = -86856. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**(-4\/23))**(-32)*(n**1)**(-16)\/((n\/n**(1\/7)*n)\/(n\/n**(-5\/2)*n)) assuming n is positive.\nAnswer: n**(-16487\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipipppppppppppppipi. What is prob of sequence pi?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 4110508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by 280.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 15. Suppose 4*z + 2*v + 4 = -0*z, 0 = z + a*v + 19. Solve 0*g = -g + z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 5\/3)\/(3\/18). Suppose -4*u = -2 - m. Solve -5*b = 10, -3*d - 6*b + u = -2*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(24)*-2 - sqrt(72)\/(1*sqrt(3))))\/(3*sqrt(192)*3*1))**2.\nAnswer: 50\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49.50935 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4136216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -220918 + 30928327\/140. Let y = 3\/140 - t. Let h(s) = s**3 - 5*s**2 - 3*s + 7. Let l be h(1). Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.906 times -57?\nAnswer: -40008.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9330 - 6440. Is 170 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 37 - 27. What is the remainder when 172 is divided by -53*(4 + q\/(-1)) - 5?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.04761 (b) 83 (c) 3 (d) 0.05 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13964578087\/98402598 - 1\/780973. Let d = 142 + o. Find the common denominator of d and -30\/11.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -2\/3, -0.6337 in descending order.\nAnswer: 0.04, -0.6337, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + (-66 - -70) - (-3 - (3 + 5)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2294*o**3 + 9184*o**2 - 9208*o + 32 = 0. What is o?\nAnswer: 4\/1147, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -93*a - 42. Let k(t) = 31*t + 15. Give -8*k(r) - 3*v(r).\nAnswer: 31*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (45 + -45 - (-8 + 1 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-48*(-12)\/108.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9629 = 756*u + 3979 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 3}. Give prob of picking 1 c and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(340))\/sqrt(10))\/(sqrt(128)*1) - ((sqrt(612) + 0)**2*-5 + -4).\nAnswer: -sqrt(17)\/8 + 3064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 22731 + 45493 - 22762.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16 - 22 = -4*r, -3*v - 15 = -3*r. Suppose -5*y = -r*y + 96. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 620 * 0.1\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c + 16. Let j be d(-7). Let k = j - 268\/5. Let b(l) = l**2 - 4*l + 2. Find the common denominator of k and b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2063144748 divided by -294734964.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16268 - u**3 + 22474 + 3*u**2 - 3*u**2 + 17224.\nAnswer: -u**3 + 55966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147270 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1630362*u**3 + 1435918*u**2 wrt u.\nAnswer: 9782172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.038, -5, -0.5, 4, 26 in decreasing order.\nAnswer: 26, 4, -0.038, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5135 + 56?\nAnswer: 5224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 228*p**2 + 0 - 240*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 446471096 less than -226.769?\nAnswer: -446471322.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4323.3 to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 297707255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:50 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-81)\/(-6))\/9*44\/(-6). Which is smaller: -12 or b?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(81)*-4.\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Let t be 4\/8 + 2\/p. Which is greater: t or -1\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 85, 9.04?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 8*a - 3. Put 3, -1, a in decreasing order.\nAnswer: 3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1338 and 24?\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 9*l + 30 = 0. Suppose l = 5*o - 0*o. What is the first derivative of -22 - 2*s + 2*s + 17 - 3*s**o wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 423, 1481, 3545, 6951?\nAnswer: 12035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526851.\nAnswer: 3, 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjjjbb. What is prob of sequence jjj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*x = 4*q + 12, q - 5*x = 27. Let s be q\/(-6) + 1\/3. Suppose -40 = -s*b - 5*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and -5 - ((-1552)\/60 - 18\/135).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(13))**2 + -3).\nAnswer: -16*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(44\/220)\/(12\/(-10))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -135940126 divided by 238?\nAnswer: -571177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -655431 equal to -655419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 1\/309308 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302269.\nAnswer: 11, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7209 = 5*a, -23*k = -a - 28*k + 1431. Solve -1435*i = -a*i + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 49749 + 9166. Let k = d - 188621\/16. What is the common denominator of k and -37\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 5. What is the first derivative of 41*d + 1 - j*d**2 - 41*d wrt d?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5 = 3*n, 4*n = -5*h + 6*n - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1306*q. Let j(w) = -6*w - 107 + 15 + 21 + 71. What is j(c(t))?\nAnswer: -7836*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 49*p - 35*p - 5.\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k\/k**(-3\/4)*k)\/(k**(-1\/5)*k*k*k*k**(3\/4)*k))\/(((k*k\/(k*(k\/(k*k**(-1\/3)))\/k))\/(k**(2\/7)\/k))\/(k**(-1)\/k**6)) assuming k is positive.\nAnswer: k**(-964\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**5\/20 - y**4\/3 - 2*y**2 - 31*y - 3. Let p(a) = 5*a - 6. Let z(w) = w - 1. Let n(h) = -p(h) + 6*z(h). Calculate f(n(x)).\nAnswer: -3*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/2*(-9)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and 125\/6022644.\nAnswer: 6022644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1353447 = -5*l - 2*w, 3*l + 34*w = 33*w + 812069. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1250 = 3*n - 8*n + 5*m, -5*n - 4*m + 1241 = 0. Suppose -1724 = -5*d - n. Is (2 - d)\/(3\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2 - 2)\/4)\/(6 - 7). Let k(b) = -8*b. Calculate k(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0 = 2. Let k(t) = -2*t - 2. Let h(u) = u**2 + u + 1. Let b(f) = a*k(f) - 2*h(f). Let i(y) = 24*y**2. Determine b(i(n)).\nAnswer: -1152*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3682395 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96680*h**5 - 33*h**2 - 42 wrt h?\nAnswer: 5800800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from bjwgbwwjwjk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.28 + 0.88. Which is the second smallest value? (a) -0.3 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 0, 0 = -5*y + w + 15 + 29. Let u(j) = -8*j + y*j + 3 - 1. Suppose 0 = 4*t + 4*f, -t = -0*t - 3*f + 20. Give u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.05189\nAnswer: -0.46701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15519413, -31038828, -46558243, -62077658?\n\"Answer: -15519415*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 - 283*r**2\/3 - 73289*r\/6 - 1377800\/3.\nAnswer: -(r + 83)**2*(r + 400)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28980071 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koqkkoffonfxofo. Give prob of picking 1 k, 1 f, and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.12668685294633?\nAnswer: -1.12668685294633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*n**2 + 61*n wrt n.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*i + 21 = 0, 13 = 2*w + 89*i - 86*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1207, -1568, -1929, -2290, -2651, -3012?\nAnswer: -3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:58 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a (base 16) in base 7?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 249*t**3 - 856*t**3 - 2*t + 37 - 79 to the form g + d*t**3 + j*t + b*t**2 and give d.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -3641, -8201, -14585?\nAnswer: -22793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -370 + 373. Let u be (-2)\/3 - (-7)\/6. Which is the nearest to 0? (a) u (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -11. Calculate the lowest common multiple of (-38)\/(-3) - r\/(-12) and 24\/7 + 90\/(-210).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*j + 932 = 0, -2*i - 4*j + 9*j = -932. What are the prime factors of (-6)\/9 + (i\/6 - 2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 144700?\nAnswer: -144704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1549*d**3 - 1557*d**3 + 4655*d**3 - 1546*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156132 is divided by 1839.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (468\/(-216) - (4 - (-62)\/(-12)))*-23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1448*f**4 + 11326*f**3 - 7971*f**2 + 3*f + 964 wrt f.\nAnswer: 34752*f + 67956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16973 + -16799. What is the remainder when 486 is divided by i?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358.99999793 + 359. What is q rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-1 + 0 + 2)*(4 - 1 - 1)*(-a - 3*a - 2*a).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -135534.06052 to the nearest 10.\nAnswer: -135530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/27)*p*p*p**(-1\/20)*p\/(p\/p**4)*p**(-1\/4) assuming p is positive.\nAnswer: p**(1519\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/25? (a) -1118 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512155 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Let k = -63 + 66. Solve d*n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.4455 decades in months?\nAnswer: 41213.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 8, 0.3 in decreasing order.\nAnswer: 8, 5, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17246*p - 2759361. Calculate n(-160).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 5352*v + 32044. Calculate u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2052) - 5*sqrt(2052)*-1 - sqrt(2052)) + sqrt(2052))\/(((-2*sqrt(18))\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ddntdqmmmt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1 - -3)*1. Let x(j) = 3*j - u*j**3 + 8*j**2 + j**3 + 4 + 3*j**3 + 5*j. What is the tens digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793756\/10 + (-420)\/(-300) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101111110101011110000 (base 2) in base 14?\nAnswer: -185a812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 18 = 6*l, 4*q + 88 = 3*l + 119 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.48184 rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 41. Let d be 107 + 7\/(u\/8). Let h = d - -58. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t - 190 = 0. Let w(z) = 126*z - 12058. Let x be w(96). Calculate the highest common divisor of x and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-26.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377968381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146582 = -4*q + 3*f, 5*q - 183231 = 247*f - 245*f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/4 + 98*f**2 - 8772*f - 166464 = 0. Calculate f.\nAnswer: -16, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25178421031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 3*z**3 - 3*z**3)*(0*z - 2*z + z) + z - 2*z**4 - z + (4*z**3 + z**3 - 6*z**3)*(-1 - 2*z + 1) + 2*z**4 - 4*z + 4*z + 0*z**3 + 0*z**3 + z**4.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6022 - 5670. Calculate the greatest common divisor of m and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 7*v - 1. Let q(p) = 19*p + 107. Let k be q(-6). Give y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445719593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5654*i - 5144*i + 14790 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*p - 6, 0*f + 5*p + 17 = -2*f. Suppose 12 = f*l, 2*l + 265 - 43 = 3*x. Suppose x = 3*q + q. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(1 + sqrt(17)) + -4 + 1)**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1501613210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w + o, -10*w + o = -11*w + 3. Let d = 7 - 12. Put -2, w, d in increasing order.\nAnswer: d, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31918, -63837, -95756, -127675, -159594?\nAnswer: -191513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -5*v, 5*c = 2*v - 4*v + 19. Suppose -5*t + 75 = -10*t + c*n, -4*t - 5*n = 60. Let g = 11 - t. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3101701114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10838 times 0.3?\nAnswer: -3251.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 1. Let p(v) = -3*v**2 + 20*v + 23. Suppose -13 = -y - 9. Suppose 10 = -4*r - j, -y*r - 4 = -0*j - 2*j. Let m(q) = r*s(q) - p(q). Factor m(w).\nAnswer: 5*(w - 5)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 4\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -71 - (580 + -569).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*r - 151*r + 81*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1901 = -237*c + 5*r, 58 = 5*c - 4*r - 104 + 118 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c. Let j(p) = 4*p. Let y(q) = -4*g(q) + 5*j(q). Let i(t) be the third derivative of -t**4\/24 + 10*t**2. Calculate i(y(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:57 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(161*y**2 + 78*y**2 + 69*y**2)*(0*y**2 - 2*y**2 - 2*y**2) + (-2 + 2 + y**2)*(2 + 2*y**2 - 2) + y - y + 2*y**4.\nAnswer: -2460*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68cc + -1?\nAnswer: -68cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*i**3\/2 + 615*i**2\/2 + 264*i + 54.\nAnswer: -3*(i - 9)*(5*i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 6070*z + 510735.\nAnswer: -5*(z - 79)*(z + 1293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-156)\/637*-14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70d + 2ece?\nAnswer: 27c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3759724mg to kilograms.\nAnswer: 0.0000003759724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16108.9959392 - -16109. Round c to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332*4398.\nAnswer: 1460136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 514472.28758 - 2098149.54758144. Let k = m + 1583704.26. Let r = 27 - k. Round r to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295281 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 4*l**2 + 2*l + 1. Let w be f(2). Let t be (-26)\/(-1) + w - -3. Suppose -42 = -4*s + t. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*k + 29423, 399*h - 401*h - 5*k = -29413. List the prime factors of h.\nAnswer: 41, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 976 or 973?\nAnswer: 976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 6*h**2 + 1. Let b = 127 + -131. Let d(y) = -y**3 - 5*y**2 + 3*y + 33. Let t be d(b). What is l(t)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2996953 rounded to the nearest one thousand?\nAnswer: -2997000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144520057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -20. Suppose 2*i + 2*v = 25 - 9, m*v - 24 = -i. Suppose 4*x - 35 = -5*b + 15, 0 = -2*b - i. What is the remainder when 28 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*i - 8 = 2*i, -3*n = -5*i - 20. Suppose 42 - 12 = 3*k. Solve 2*j + k = -n*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllvllllvllv. What is prob of picking 3 l?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 236 + 144. Suppose q = -2*g + 7*g. Let s = -7 + g. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = y + 3*c, 3*y - c = y + 58. Let m = -93 - -209. Calculate the highest common factor of y and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**7\/1890 + w**6\/135 - 16*w**4\/27 + 41*w**3\/6 + 5*w**2. Let m(y) be the first derivative of v(y). Factor m(h).\nAnswer: -4*(h - 4)**2*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-2)\/(-10))\/((-48)\/240))\/5. What is the third smallest value in s, 0.4, -38?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 13. Let k be 4\/(-14) - 2\/h. Suppose -2*q = -5*q + 12. Solve k = y + q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*(32\/(-12))\/4. Suppose 7*m - c = 2*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 78*f - 2. Give i(-4).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 2*s - 133. What is h(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 24 = 0, -3*n = -z - 6*n + 5970. What are the prime factors of z?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221903215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.778, 9 in descending order.\nAnswer: 9, 0.778, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81858124, 81858130, 81858136, 81858142, 81858148, 81858154?\n\"Answer: 6*x + 81858118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588043280.\nAnswer: 2, 5, 11, 131, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 3) to base 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 7*i**2 + i - 1. Let u be x(-7). Let k = 11 + u. Find the first derivative of -k*z - z - 2 + 5*z wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.401l in millilitres?\nAnswer: 74401","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the fifth smallest value in 5, 0.5, -6, -3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8379564.\nAnswer: 2, 3, 698297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 743, 6386, 21711, 51560, 100775, 174198, 276671?\n\"Answer: 807*z**3 - z**2 - 3*z - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-90)\/9)\/40)\/(3\/(-4)*(-5)\/645)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193*k - 11105*k + 80941 = -309764 - 261089 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (-3 - 0))*(-29 + -1). Does i = 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o = 58*o - 13. What is the remainder when 49 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19603 times 2.68?\nAnswer: -52536.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 31.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 34 = -2*t, -4*t = 5*x - 64. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -23, 1, 47, 121, 229, 377, 571?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2826422g to kilograms.\nAnswer: 0.0002826422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w**2 - 361*w + 9. Let j(p) = -p**2 + 5*p + 1. What is -8*j(s) + l(s)?\nAnswer: -2*s**2 - 401*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4360 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379209, 758384, 1137567, 1516758, 1895957?\nAnswer: 2275164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.19, -46115 in descending order.\nAnswer: 3, -0.19, -46115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:20 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -1\/8*a**4 - 9\/2*a**2 - 1\/6*a**3 + 17 + 0*a. Let x(i) be the second derivative of g(i). Calculate x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 6. Let h = 49 - m. Let i = 4 - 9. Put -3, i, h in descending order.\nAnswer: h, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2048, -8179, -18396, -32699, -51088?\nAnswer: -73563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 280*m = 281*m - 6, 2*o - 4 = 2*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101197, 101188, 101167, 101128, 101065, 100972, 100843?\nAnswer: 100672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhb when three letters picked without replacement from hbbabdhbbbadhbabb?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4 and 41\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 149853*m + 149855*m - 4 = 0, m + 28 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*((-15015)\/22)\/(-13). Find the second derivative of 81*a**4 + 36*a - 56 - p*a - 123 wrt a.\nAnswer: 972*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {o: 3, m: 6, x: 1, n: 2, z: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 + 78*v\/5.\nAnswer: -3*v*(v - 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3601, 5\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpbkk. What is prob of sequence kpb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/18 + -5\/6. Which is the second smallest value? (a) 5 (b) -1\/5 (c) f (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8946 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d - 392. What is h(34)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**7\/210 + 33*r**5\/2 - 131*r**4\/3 + 289*r**2. Find the second derivative of t(c) wrt c.\nAnswer: 12*c**2 + 1980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 8. Let m be i(6). Let g = -6 + 5.94. Let j = g + -0.14. What is the smallest value in j, m, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -2\/47, -0.051, -8, 2, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9, 1, 23, 4, -324 in decreasing order.\nAnswer: 23, 4, 1, -9, -10, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15880552, -15880554, -15880558, -15880564?\n\"Answer: -t**2 + t - 15880552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) -3\/19490 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzi.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -190, 5 in increasing order.\nAnswer: -190, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 0*r - 1 + 2. Suppose -26 = -5*o + 3*m, 3*m - 1 = 8. Let q(y) be the third derivative of y**4\/12 - y**3\/2 - 3*y**2. Calculate o*a(t) + 2*q(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6995\/6 - -1159. Let j be 21\/(-7553)*(-2)\/(-3). Let m = -22651\/4316 + j. What is the common denominator of b and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = 2. Suppose 5*z - d + 0*d - 89 = 0, -2*z = l*d - 26. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.7077 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 1:16 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.8205 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -33, 4, 107457 in decreasing order.\nAnswer: 107457, 4, 2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-7) + 77\/(-49). Let y be (2 - 10\/2) + (-16)\/g. Solve 0*r - y*r = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72725.91 nanometers?\nAnswer: 0.007272591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 25*m**3 - 323*m**2 - 30*m + 31. Calculate p(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45\/148 + 2\/37. Let z = -1 + 1.5. Let m = 0.6 - z. Which is the nearest to 1? (a) m (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1355538514 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80) + 1.\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f - 13376 + 315 = 0. Let q = 362 + f. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78\/19 or 5?\nAnswer: 78\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06659657 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23665647 at least 23665647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*c**4 - c**2 + 2*c - 65?\nAnswer: 348*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.001 - -0.501. What is the second smallest value in 0.4, f, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 110*q - 375.\nAnswer: 5*(q - 3)*(q + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54005644 + 3?\nAnswer: -54005641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 36 + -7 + (3 - -6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 6*l**2 + 56*l + 5. Give j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/5 + 26*r**2\/5 + 58*r\/5 + 6 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 82 = -80 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/(-15) - (2 - (-1 - 4)). Which is the second biggest value? (a) 2\/13 (b) -2\/9 (c) u (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u - 89*u + 45*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -43c1 (base 13) in base 14?\nAnswer: -3632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30852738 divided by 126\nAnswer: -244863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*k - b, -3*b = -5 - 7. Sort 2, k, 5, -8.\nAnswer: -8, k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0*y**3 - 33\/40*y**5 + 0*y**2 + 1\/40*y**6 - 108 + 121\/16*y**4 + y. Factor a(w).\nAnswer: 3*w**2*(w - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263207 + 789696 - 263277 - 263212 + 9*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 - 14*n - 20. Let b(k) = k**2 - 11*k - 21. Let h be b(12). List the prime factors of l(h).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*n + 68, -3*y + 5*n - 20 = -155. Is 8\/12*6 + y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from {y: 5, g: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:16 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*c, -d + 5*c = 6*c - 710. What are the prime factors of d?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 48\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-8)\/(-352)). Let w be 106\/x - 4\/(-22). Suppose 0 = w*r + 9*r. Solve r*l = -2*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(99) + (sqrt(99)*-1 - sqrt(99))*2 + sqrt(99))\/sqrt(9))**2 + -4).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322640*l + l**2 - 290260*l + 5*l**2 + 204100*l.\nAnswer: 6*l**2 - 408800*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31032\/(-720) - (17 - (-1197)\/(-70))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + 6*z**2 + 9. Let r(h) = -4*h**3 - 5*h**2 - 8. Let k(q) = -5*l(q) - 6*r(q). Let d(i) = i - 5. Let s be d(5). What is k(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114909000 to the nearest one million.\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55279 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/10 - 2*q**3\/15 - 26. Find n, given that w(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82626 greater than 82625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -33. Let k(n) = -n + 77. Let d(q) = -3*k(q) - 7*s(q). Let m(l) = -2*l**2 + 19*l. Determine d(m(j)).\nAnswer: -6*j**2 + 57*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59084804027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -5 - (-1 + 1 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(5)) - sqrt(5)) + sqrt(50)\/(sqrt(40)\/sqrt(4)).\nAnswer: -5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -7*x + 9*x. Suppose -4*s - 21 + x = 0. Let a(z) = -3*z**2 - 7*z**2 + 8*z**s. Let w(m) = -17*m. Give a(w(d)).\nAnswer: -578*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/26 + (-2915)\/(-65)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 3:36 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -10529 + 10508 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + u - 22 = 0, 0 = 12*k - 9*k - 5*u. Sort -1, 0, 2\/7, k in ascending order.\nAnswer: k, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**(-2\/5)\/u*u*u))\/u*u)**(1\/13))**(-33))**(6\/17) assuming u is positive.\nAnswer: u**(594\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 591 and 44719.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1783 - -19629\/11. Suppose -10\/11*n**4 - 8\/11*n**2 - s*n**3 + 0 - 2\/11*n**5 + 0*n = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282.9358 + -283. Let w = 6.0642 + i. What is the second smallest value in -2\/13, -2\/7, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178738, -175881, -171120, -164455?\nAnswer: -155886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 515*x + 29. Let p(y) = 12*y. Determine w(p(b)).\nAnswer: 6180*b + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - v = 2*t - 3, -2*t - 760015*v + 760011*v = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2355 - 974. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -9291366\nAnswer: -1\/3097122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -4, -2\/5, 1.\nAnswer: -4, -2\/5, -0.13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 133.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 288*s**2 + 38*s - 158. What is the hundreds digit of k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 1381\/4*g**2 + 75\/4*g**4 - 399\/2*g - 773\/4*g**3 + 11\/4*g**5 = 0.\nAnswer: -13, 2\/11, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -16*g**3 - g**2. Suppose 5 = -18*r + 77. Let s(p) = -p**2 + p + 13. Let j be s(r). Give h(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 642?\nAnswer: 642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 16*g**2 - 11*g + 33. Let b(v) = 19*v**3 + 146*v**2 - 96*v + 299. Let t(p) = 3*b(p) - 28*k(p). Determine t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 533857\/4 or 133464?\nAnswer: 133464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d + 6. Let g(f) = 2*f**3 - 11*f + 13. Suppose -3*i - 2*i = 30. Calculate i*g(q) + 13*h(q).\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 59.382623933.\nAnswer: -56.382623933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 2. Let o be h(2). Suppose -3*z = -o*i + 44, 0*i = -4*i + 4. What is the units digit of -2*-1*z\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 212*d + 5184 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 6. Suppose -14*f - 860 = -19*f. Is f\/12 + 2\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ete when three letters picked without replacement from reeeeetetueeertt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -5.\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 8.6 (c) 4 (d) -3 (e) -3884\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5.76, 0.1, -3\/13, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001143 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 919\/511 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1016\/28 + (-6)\/21. Suppose 4*z - 4*j + 0*j = 4, 2*j = 3*z - 8. Suppose -z = -6*c + 3*c. Solve 0 = -y + 3*r + 14, -c*y - 5*r + 9 = w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.86 + -0.36. Let l = 82.5 - v. Let z = l + -94. What is the closest to 1 in 0, z, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 28 = 4*s, 5*s - 2*s = 3*y + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5077\/230 + 510\/23. What is the common denominator of a and ((-2)\/((-12)\/118))\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 4*b**2 - 4*b + 4. Let h(u) = u - 10. Let t be h(5). Let s be c(t). Let v = -7\/2 + 3. Is v > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 2*o + 17, 0 = -2*n + 7*n + 2*o + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 5*h)*(-2*h + h - 3*h)*(-12 + 12 + 5*h) in the form n*h**3 + f*h + t + a*h**2 and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 - 94452626*n\/3 + 4460649279147938\/3.\nAnswer: (n - 94452626)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - (-125 + 160)) + 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1800260 and 210980?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - 77. Is (3714\/k)\/(-3) + 1\/(-2) 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 1691 and 801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.636 + -100.436. Let d = 70 + v. Let j = 30 + d. Which is the nearest to j? (a) 3\/8 (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1158 and 24.\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -4, -3\/8, -1, 137\/2, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*o**2 - o - 426 with respect to o.\nAnswer: 14*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 2*j - y, 4*y = j - 2. Let m be 2 + (-4 + j)*3\/(-2). Let q be 3 + (1 - m) - -4. Solve 0*g + 5*g = -4*c + 17, 0 = q*c + 5*g - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.08 - -6.8. Let t = -0.101 + -16.179. Let j = t - p. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 45*v - 242. Let n be a(-6). What is the remainder when 145 is divided by (-1)\/n - 1510\/(-80)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -675, -2024, -4087, -6870, -10379, -14620, -19599?\nAnswer: -25322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 24. Let x = -177\/4 + n. Let v = 365 + -365.5. Which is the third smallest value? (a) -5 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f5 - 51b?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 24*d**3 - 9*d. Let q(s) = -25*s**3 + 9*s. Let z(x) = 6*f(x) + 5*q(x). Find the second derivative of z(r) wrt r.\nAnswer: 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h**4 + 0 - 45*h**2 - 1\/30*h**5 + 2*h + 1\/6*h**3 + 19\/120*h**6. Give v(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**2 - 6*v + 3. What is the least common multiple of 4 and g(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 2154135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1103231213?\nAnswer: 1103231222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -1000000?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 5, x: 2, f: 2, u: 9}. Give prob of picking 1 f and 2 l.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 106?\nAnswer: -147\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aveua. Give prob of picking 1 a, 1 u, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/6)\/((-48)\/288). Do 4\/79 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*b - 0*b, -2*l + 12 = b. Let g = 2 - -1. Let y be 2*(-1 - (-6)\/g). Solve 3*j - q - 9 = 0, -y*j + 0*j = -l*q + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-4) + (-1)\/(2\/3). Let g(j) be the first derivative of 0*j**2 + 2\/3*j**3 + 0*j + h. Let o(n) = 3*n. Calculate o(g(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 41, 103, 185, 281?\n\"Answer: -c**3 + 19*c**2 - 14*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8)\/sqrt(4)))\/(sqrt(400) - (-1*sqrt(400) + sqrt(400))).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1049*c - 955*c - 49632 = 0. Calculate the highest common divisor of c and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20561.\nAnswer: 29, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 2*g + 12 + 4*g.\nAnswer: 3*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0119414098 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 454, 14 in descending order.\nAnswer: 454, 14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.0518, 48, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6757793.\nAnswer: 7, 965399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*d**2 - 363 + 363 + (4 - 4 + 2*d)*(-d + d + 2*d).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68103 is divided by 147.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:52 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20849 is divided by 20454.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/10 + 34*j**2\/5 + 578*j\/5 = 0. What is j?\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 2*r**3 - 18 - 64*r.\nAnswer: -2*r**3 - 64*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/((-6)\/(-8)). What is the units digit of ((-26)\/4 - -1)*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 21 + 95. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 86 = 131, 9*i - 137 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 - 2*j**2 + 2*j**4)*((0 - 1 - 1)*(-14 - 11 + 4) - 1 + 0 - 1 + 0 - 3 + 2 - 3 + 4 - 2) as c + a*j + x*j**3 + w*j**2 + z*j**4 and give z.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1\/11, -347, 1.6, 2, 0.0016?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466061511 is divided by 2747.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7950363, 7950361, 7950359, 7950357, 7950355, 7950353?\nAnswer: 7950351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7)*1)**2 - (sqrt(147)\/sqrt(3))\/sqrt(7).\nAnswer: -sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 0.25 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let d(i) be the third derivative of i**5\/20 - 39*i**3 - 71*i**2 + 2*i. Let t(a) be the first derivative of d(a). Give q(t(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4 - 4*d**2 - 6 + 12*d**2.\nAnswer: 8*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 3 + 1)*(698*v - 698*v + 45*v**2) to f + z*v + p*v**2 and give p.\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585559 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*sqrt(171)*2 - -5*(sqrt(171) + (sqrt(171) - -1*sqrt(171))**2)).\nAnswer: -21*sqrt(19) + 3419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 27 - 3. Suppose -4*j = -g*j + 54. What is the greatest common divisor of 297 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:26 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -69, -184, -391, -720?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/16905 and -26\/15?\nAnswer: 16905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34204 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(6\/2))\/(8\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/569610 and 95\/18.\nAnswer: 569610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 579.015 or 11?\nAnswer: 579.015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 4*h + 15)*(-6*h + 2*h + 2*h)*(-37 + 67 + 62)*(-2 - 3 + 3) to the form n*h + g*h**2 + s and give g.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:51 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 56*r - 1 = 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-45)*10\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3 + 184*o**2 + 446*o - 6580 = 0. What is o?\nAnswer: -7, 5, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -318\nAnswer: -1\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43893*z**5 - 2*z - 6947?\nAnswer: 877860*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 29*b - 72. Solve v = b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -56. Calculate the remainder when z is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4201 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184935 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -453 (b) -5 (c) -280\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*s - 5028, 2*f = 72*s - 71*s + 10051. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 16*v - 3*z + 25 = 0, -4*v + 85 = -z. Does 6 divide 14000\/v*(24\/(-28))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -551 - -549. Put 78, 0, m in decreasing order.\nAnswer: 78, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*l*n**2 + 38*b**2*n**2 - 3*b**2*n - 19*b**2 - 51*l*n**2 - 19*l*n wrt n.\nAnswer: 2*b**2*l + 76*b**2 - 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.64 + -19.14. Which is the smallest value? (a) i (b) 3 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0319 and -0.952.\nAnswer: -0.9839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.4 (c) 0 (d) 2668\/3 (e) -1\/6 (f) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10248*f**3 - 2*f**2 - 4*f - 6. Let b be i(-2). Let c = 127309 - b. Suppose m = c + 33469. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:14 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40214 - -2?\nAnswer: -40212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -337.557 - -338. Let h = 0.057 + w. Sort -5, h, 3, 4.\nAnswer: -5, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 1. Let j be -1*(k\/(-14))\/4. Which is the second biggest value? (a) -1 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imu when three letters picked without replacement from guumuukuluuikglkguu?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3164 + -3170. Let x(s) = -s**3 - 17*s. Let w(j) = 3*j. Calculate v*x(l) - 34*w(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, -0.07, 5 in descending order.\nAnswer: 5, 1, -0.07, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/436)\/(1*-2). Let d be ((-2)\/1)\/(476 - 474). Is d greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1712, 3\/8, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + -1*((sqrt(1088) - (sqrt(1088) - (sqrt(1088) + -2))) + 4) + (sqrt(1088) - (sqrt(1088) - (5 + 1*sqrt(1088))))*4))**2.\nAnswer: 38016*sqrt(17) + 369936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/7)*m*m**(-14) assuming m is positive.\nAnswer: m**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 2. Let t(j) = 249 + 2*j**3 + 355 - j**3 - 603. Calculate 2*i(n) + 4*t(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102712*a**2 - 205432*a**2 + 102722*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -9*o + 1, -o - w + 8 = 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -717, -702, -661, -582, -453, -262?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 469 + -449. Calculate the lowest common multiple of 512 and l.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 + 6*u + 6. Let k(x) = -4*x**2 + 5*x + 5. Let i(y) = -6*k(y) + 5*q(y). Let a(n) = -2*n**2. Determine i(a(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -246 or -245?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, c: 11, v: 3}. What is prob of sequence vccc?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.442944 rounded to 3 decimal places?\nAnswer: 0.443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13159 - -26042. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*-10*4\/(-300)*(-150)\/(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12*t = 88. Suppose -4*z = 5*w - 61, 3*w = 2 + 13. Suppose -145 = -t*u + z. What is the remainder when 40 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224758811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(-52 + 70 + 32)*(0*s**3 + 0*s**3 - s**3) in the form w*s + p*s**2 + y + k*s**3 and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 - 174. Let p = -100 - q. Let w = 47.999954 + p. What is w rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1.6\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 3*i - 36*i - 25*i + 5*i**2 - 7*i**2.\nAnswer: i**2 - 58*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 45. List the prime factors of (-4)\/(-6) + (-4 - 2490\/x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.54 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g + 12*g - 126. Let d = 29 + g. Solve -i = 4*i + f - 17, 5*f = -d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1798, 2, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15136 + -15120. Solve 58 - 36 = -4*c + 2*x, 4*c + 4*x = -z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001418309 to 6 decimal places.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 2. Let c(w) = 3*w + 3. Let p be (1 + -4)\/(1 + 0). Let x(z) = p*c(z) - 5*k(z). Let b be x(0). Is b at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.772 + -18.84851. Let m = 0.07 - -0.006. Let r = i + m. What is r rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 615929762611.\nAnswer: 615929762621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.004 + 8.112. Let z = -23 - -23.084. Let d = z + x. Round d to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**8\/112 - w**4\/8 - w**2\/2 - 4*w. Let u(o) be the first derivative of i(o). What is the second derivative of u(l) wrt l?\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*a + 7*a. Let c(y) = -2 - 5 - 5*y**2 + y**a + 4*y**2. Give c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9741093606 by 6.\nAnswer: 1623515601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 57\/2905?\nAnswer: 57\/2905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 1575?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45042, 181548, 409520, 728958, 1139862, 1642232?\n\"Answer: 45733*p**2 - 693*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -236029, -236006, -235953, -235858, -235709?\n\"Answer: 2*o**3 + 3*o**2 - 236034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-28))\/(66\/231)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c + 5*k + 11, 5*c - 4*k = 27. Let p(y) = 2*y - 3 - 4*y + c. Let a(i) = 2 - 2 + i. Give a(p(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100363 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47574 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 52, 3, -7, 3\/7, -0.005?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.187 * -96.8567\nAnswer: 114.9689029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 31*x + 8. Let c be k(7). Calculate the highest common divisor of c and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + y - 102 = 18*q, -4*q = -4*y - 408. What is the remainder when q is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110011 + -1100001010111101100?\nAnswer: -1100001011001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/7*j + 4\/7*j**2 - 64\/7.\nAnswer: 4*(j - 2)*(j + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2592\/(-81) + (-3546)\/(-99).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*t + 353*t - 786 = 0. Let a = 7 - 4. Let b(l) = 2*l**2 - 3*l. Let o be b(a). Solve t*h - o = 4*d - 4, 0 = -5*d + 2*h - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 5.03. Let s = -70.6 - -70.53. Put s, f, -1\/2 in decreasing order.\nAnswer: f, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1248, -3 in decreasing order.\nAnswer: 2, -3, -1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (0 - 3)) + 0 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2916 and -111\/7634?\nAnswer: 11130372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*a + 25*a - 2*a**3 + 34*a as j + n*a + g*a**2 + d*a**3 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (114\/36)\/(2\/(-4))*-18. Let d = -30 + p. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54243, -108444, -162547, -216504, -270267, -323788?\n\"Answer: 8*y**3 + y**2 - 54260*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295 (base 12) to base 14.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5288438, -5288439, -5288448, -5288471, -5288514, -5288583?\n\"Answer: -d**3 + 2*d**2 - 5288439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 6878, -2, -2\/61, -2\/11, 2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/11 (c) 53 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 75*x - 74*x + 2*i, -27*x + 29*x + 43 = 5*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38072836.\nAnswer: 2, 31, 479, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)*i*i**(2\/17)\/i)\/((i*i\/((i\/i**7)\/i))\/i**(-5\/3)))**(1\/3) assuming i is positive.\nAnswer: i**(-185\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -579446, -1158907, -1738368, -2317829, -2897290, -3476751?\nAnswer: -4056212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.39. Let x = -0.27 + g. Sort x, 1\/2, -0.2.\nAnswer: -0.2, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/12 - 2*l**3 - 13*l**2 - l. Let k be w(-13). Is (k - 1)*3\/(-3 + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2\/17 (c) -504 (d) 3 (e) -17 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 35*r - 12. Let m be a(-12). Which is bigger: 2\/1369 or m?\nAnswer: 2\/1369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 5*h - 4*f - 41 = 0, 3*f + 32 = 4*h. Suppose -3*r + 4*v = -8*r + 179, 170 = 5*r - h*v. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43080 and 6360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54355644319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, p: 8, l: 2}. Give prob of picking 1 l and 3 p.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 17*g - 2*g - 73 - 10*g - 2*g - 3*g.\nAnswer: -4*g - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91004, 364678, 821026, 1460048, 2281744, 3286114?\n\"Answer: 91337*b**2 - 337*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l + 1. Let z(y) = y**3 - 3*y**2 - 3*y + 3. What is 3*b(t) - z(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4684, 4706, 4738, 4774, 4808, 4834, 4846, 4838?\n\"Answer: -m**3 + 11*m**2 - 4*m + 4678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.9 (b) 0.6 (c) -13 (d) 0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 1120?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-93)\/(-8) - 0) + (-15)\/(-40). Suppose -75*a = -72*a + y. Is a greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 185*u**2 - 4281*u + 4638. What is q(22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4347 * 121\nAnswer: -525987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let t = -25 + 28. Suppose -8*f + 5 = -t*f. Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t**2. Let j(k) = 2879385*k. What is j(i(w))?\nAnswer: 54708315*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**5\/8 + 23*f**3\/3 + 5. Let o(z) be the third derivative of t(z). Let n(i) = -18*i + 5*i + 8*i + 10*i. Calculate o(n(x)).\nAnswer: -75*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 120698.85.\nAnswer: 120698.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15312709 + 15312746.999919. Let w = 96 + -58. Let y = p - w. Round y to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6557, -1\/3, -6, 5, 0.5 in decreasing order.\nAnswer: 6557, 5, 0.5, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 830783 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Let r be -1 + 2 - 14\/(-2). Calculate the highest common factor of r and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(227010\/35)*-6.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 924 = 5*r, s + 3 + 1 = 0. Let q = -97 + r. Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34488903*m**2 - 3431057*m?\nAnswer: -68977806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11204 = -138*u + 10876. What is the greatest common divisor of u and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2. Let d(m) be the first derivative of 115*m**3\/3 - 1378. Determine d(x(a)).\nAnswer: 4140*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2404716*c**3 - 2404715*c**3 + 105*c**2 - 39*c**2 - 34*c**2 - 32*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/6 - a**3\/2 + 20*a**2 - 4599*a. Give x(7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/4 - 19523*n**2\/4 - 156233*n\/4 - 292965\/4 = 0. Calculate n.\nAnswer: -5, -3, 19531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104725456 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 8}. What is prob of picking 2 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/((-136)\/(-120)) - 11. Let r(x) be the first derivative of -17\/2*x**2 - 19 + x**l + 0*x + 0*x**3. What is the second derivative of r(j) wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 54*w**2 + 48*w - 11. Calculate f(-26).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/12, 5, 1, 14\/19?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9793, -19652, -29629, -39778, -50153?\nAnswer: -60808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318045614 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695578969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(315)*3)\/(sqrt(56)\/(sqrt(24)\/sqrt(3))))\/(-3*(-1*sqrt(576)*2 - sqrt(576) - sqrt(576))).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 778973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 56 = -44. Let k(d) = -10*d**3 - d + 2. Is k(l) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -2111?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -6*(sqrt(209) - sqrt(209)*-2))\/(sqrt(11) - (1*sqrt(1100) - sqrt(1100))) + 2 + -3*sqrt(684) + -2)**2 + 0.\nAnswer: 23275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 8\/15, 6\/7, 8 in decreasing order.\nAnswer: 8, 6\/7, 8\/15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9978338 years in centuries?\nAnswer: 0.009978338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 10 (b) 0.1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 12*v + 48 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 - -133.96. Let b be (-276)\/(-216) - 3\/2. What is the nearest to -1 in n, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23517 - -23530. Suppose -3*u - 760 = -2512. Suppose -4*q = c - 0*c - 568, 4*q - 3*c - u = 0. Calculate the highest common divisor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**3 - 2*v**2 + 3*v. Let q(i) = 2*i**3 + 3*i**2 - 3*i + 1. Let l(m) = 3*p(m) + 2*q(m). Let r be l(-4). Suppose 6*z = z + r. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*g**3 + 198*g - 98*g**3 + 316*g**2 + 3*g**4 + 432 + g**4 - 822*g.\nAnswer: 4*(g - 9)*(g - 3)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*n - 45 = 0, 5*l - 30 = -n - n. Suppose l*u - 402 = 2*k, 5*u + 2*k - 495 = 3*k. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**2 - 10*k - 1. Let y = 2 - -1. Calculate the remainder when f(7) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 5471. Let o(r) = -16007*r**2. Determine o(x(u)).\nAnswer: -16007*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + z**4 + 3*z**3)*(-2 - 5 + 0) + z**2 - 7*z**4 - z**2 + 0*z**2 - z**2 + 17*z**4 + 2*z**2.\nAnswer: 3*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 220 = 4*l, 5*h + 21 = 3*l + 186. Let y = -26 - l. Calculate the highest common factor of y and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8186 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 -2*n**4 + 6*n**3 + 24*n**2 - 40*n - 96 = 0. What is n?\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - (11 + -6)) + (813\/289 - 1) and -45\/3179?\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 215, 306, 451, 656, 927?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -4*l**5\/35 - 3261*l**4\/7 - 3546880*l**3\/7 - 5313800*l**2\/7 - 5531. Let w(t) = 0. What is t?\nAnswer: -1630, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0375 take away 4586028552?\nAnswer: -4586028552.0375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**8\/d)\/d*d)\/(d**(-10)*d))\/(d*d*d\/(d*d**18)*d**(-1)) assuming d is positive.\nAnswer: d**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 - 5*u + 1. Let n(h) = h**3 + 11*h**2 + 11*h + 5. Let k be n(-10). Let t be c(k). Which is smaller: 2\/137 or t?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107669 is divided by 5382?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgcgccvqgqcqcqqq. Give prob of sequence vq.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*b + 3, 0 = 5*b + 10*x - 12*x - 51. Suppose b*t - 446 = 4576. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(4 - 5)*(-2 + 2). Suppose -6*f - 19*f + 21775 = w. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m**2 - m. Let c(i) = 111*i**2 + 925*i. Give 22*a(o) + 2*c(o).\nAnswer: 2*o**2 + 1828*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -129*0.5\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.37 - 69. Let i = v - 85.17. Let a = 82 + i. Sort a, -1\/4, -4 in increasing order.\nAnswer: -4, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 113*z + 34868. Determine o(-308).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/3 or -0.008?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1615 - -2699. List the prime factors of i.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 20?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640643 to the power of 1\/2, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 616\/412661 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - g = 2*g + 55, 0 = -i + g + 26. What is the remainder when 75 + (-18)\/3 + -3 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*y = 26 - 0, y - 11 = 2*n. Let m be 4\/n + (-141)\/(-9). Calculate the greatest common factor of m and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 8. Give k(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 12500*q - 12496*q + 29*p - 26*p, -3*q = 4*p - 31 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**3*s**3 - 5*a**3*s**2*t - 2*a**3*s + 5*a**2*s**3*t - 2*a*s**3*t - 57*a*s*t wrt a.\nAnswer: -36*s**3 - 30*s**2*t - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473797740?\nAnswer: 2, 3, 5, 13, 53, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/2825 and -2\/22555.\nAnswer: 12743575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3107 - -3109. Solve g*m + 15 = 7*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 bigger than -12541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -964738, -964765, -964792, -964819, -964846, -964873?\nAnswer: -964900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Suppose 0 = -2*w + c*w - 96. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, t: 3}. What is prob of picking 2 p and 1 t?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**5\/20 + 4*w**4\/3 - 3*w**3\/2 - 6*w**2 - 2*w - 2445. Give g(-16).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405702, -405703, -405704, -405705?\nAnswer: -405706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121218169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, -5, -4, -42, 1\/8 in ascending order.\nAnswer: -42, -5, -4, -7\/5, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204231 (base 5) in base 11?\nAnswer: -15951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**5 + 4*d**4 - 6*d**3 - 6*d**2 + 2*d + 2. Let w(y) = y**5 + y**4 - y - 1. Let s(k) = m(k) - w(k). Factor s(v).\nAnswer: 3*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.193 and 257.5?\nAnswer: 257.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*b**2 - 165*b**2 + 117*b**2)*(-b**2 + b**2 - 2*b**2) + (-3 - 2*b**2 + 3)*(-2*b**2 + 0 + 0).\nAnswer: 282*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -6618a?\nAnswer: 66197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/22 and -99\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177 - 173. Sort -1, i, 0, -3 in increasing order.\nAnswer: -3, -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/14 + 2\/7. Let t(p) = 24*p**3 + 2*p**2 - 1. What are the prime factors of t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4068 or 4554?\nAnswer: 4068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**3 - 27*w**3 + 29*w**3.\nAnswer: 46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(15)\/sqrt(5)) - sqrt(19) - sqrt(19)) + -2 - sqrt(133)\/(sqrt(7) + sqrt(700)*1).\nAnswer: -12*sqrt(19)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85808515 to the nearest integer?\nAnswer: 9263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 - ((-2 - -18) + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/70*-10*541396\/(-6). Round a to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39176017, -39176008, -39175997, -39175984, -39175969, -39175952?\n\"Answer: p**2 + 6*p - 39176024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101011202 - -1200?\nAnswer: 1101020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:03 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*i**2 - 41*i**2 - 48*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 267456.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q*q*q\/((q**(-2\/5)\/q*q)\/q*q*q))\/q)\/q))**(6\/17)*(q\/(q**3*q)*q)\/(q*q*q**6) assuming q is positive.\nAnswer: q**(-832\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 763963489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(25*y + 14*y - 18*y) to the form c + s*y and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -194917 - -44?\nAnswer: -194893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/((-708)\/672))\/(7\/(-4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**5 - 70075*a**3 - 2297506*a**2 wrt a.\nAnswer: 600*a**2 - 420450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8848 (base 11) in base 12?\nAnswer: -6904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104274156*o*u**2 - 20*o - 210887*u wrt u.\nAnswer: 208548312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -18311253.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -2. Let n = f + 5.9. Which is smaller: 5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (13 + -16 + (0 - 10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -8\/9*i**3 + i**4 + 1\/9*i**6 - 8\/15*i**5 + 10 + 1\/3*i**2 + 0*i. Let s(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -112. Let d(o) = -30699999*o**3 - 2*o**2 + 2*o - 1. Let g be d(m). Round g to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + i**2 - i**2)*(-16*i**2 - 510 + 510 - i**2 - 2*i**2 + 0*i**2 + (i**2 - 1 + 1)*(-1 + 2 + 0)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 4. Let x be r(6). Let d be (-5*x)\/(2\/(-5)). Suppose 3*j - d = -1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/2)\/((-3)\/536). Let u be y\/20 + (-8)\/(-10). Let w = -66 - u. Is w bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40765 to 3 decimal places.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0*b**3 + 3*b**2 + 0*b**3 + 2 + b**3 - 6*b + 0*b**3. Let u be (4 + -2)\/(((-5)\/(-2))\/(-5)). List the prime factors of l(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151764493 to the power of 1\/2, to the nearest integer?\nAnswer: 12319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -24*o + o**2 - 254 - 250 + 512. List the prime factors of r(-10).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 5*a**2 + 4*a + 4. Let i be d(4). Let k be i\/(-3)*(-15)\/10. Suppose 100 = 3*l + k*l. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:24 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*p + 7*p**2 + 283*p - 2*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15970 + -6598. What are the prime factors of z?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 + 6*w. Let c be x(-6). Suppose 16 = -6*f - 32. Let r(m) = 2*m**2 + 14*m - 16. Let k be r(f). Is c less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -13. Let f be 7\/(30\/k - -4). What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619010753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43871476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 22*d - 6 = 3*i, 41*d = -4*i + 12*d + 63 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 4*d + 2. Let m be q(-3). Let x = m - 4. Let b = 77\/2 - 36. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18218391?\nAnswer: 3, 41, 73, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = z - 2477. Let g be z\/56 + 2*2\/16. Suppose 0 = -3*y + 2*k + k + 132, 2*k + g = y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -178*l + 37. Is m(-3) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xexx when four letters picked without replacement from {e: 4, x: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 - 204. Let r be ((-6)\/(-9))\/((-14)\/12). What is the smallest value in r, 0.3, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95306939338 minus -0.2?\nAnswer: -95306939337.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, 460, 0.2564?\nAnswer: 0.2564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, 13, 27, -34 in descending order.\nAnswer: 27, 13, 5, 4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/(-885)*(-18)\/2)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 591 and 0.184?\nAnswer: 108.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18) + (5 - (-33)\/(-27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 552565652 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*u - 2*p + p = 3, 4*p + 12 = -603*u - 273*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6198?\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2900 = g + 33*z - 43*z, -14924 = -5*g - 3*z. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 12. Let v be g(-10). Let d(w) = -w**3 + 4*w**2 - 5. Let a be d(v). Suppose -2*b + a*s - 1 = -21, -4*b = -4*s - 32. Solve b*l - l = -12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 140*r - 142*r + 3*g, -2*r = 4*g - 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193456.\nAnswer: 2, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**10\/50400 - l**9\/6300 - l**8\/2240 - l**7\/2100 + 19*l**4\/12 - 8*l. Let f(m) be the third derivative of i(m). Factor f(d).\nAnswer: -3*d**2*(d + 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 34*i + 351. Let f(s) = 17*s + 162. Let z(g) = 13*f(g) - 6*w(g). Let b(k) be the first derivative of 2*k**3 + 3. Give z(b(l)).\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4 + 3620*m**3 - 1118376*m**2 + 125505072*m - 2337920928 = 0. Calculate m.\nAnswer: 23, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45399a8 + 4?\nAnswer: -45399a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from {u: 1, o: 3, s: 5, m: 5, k: 4}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11702973 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 23*s + 3. Let f(l) = -l**2 + 116*l + 14. What is the smallest common multiple of f(116) and o(5)?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2242*a**2. Let u(g) = -7*g + 30*g - 13*g - 2*g - 7*g. Calculate u(o(z)).\nAnswer: 2242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1216) - sqrt(1216))*6.\nAnswer: -192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 8:43 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*0.16.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4130134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o + 1. Let t be j(-2). Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 + 1\/120*y**6 + 0*y - 1\/60*y**5 + 1\/6*y**3 + 0*y**4 - y**2. Let v(o) = o**3 - 6*o**2. Let t be v(6). Give s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*y**5 + 260*y**2 - 14316*y wrt y.\nAnswer: 100*y**3 + 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -53.18313\nAnswer: 1648.67703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1399 - 73\nAnswer: -1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 8*j - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 2. Let r(a) = -3*a - 5. Let p(i) = -5*g(i) - 2*r(i). Let l(f) = 4*f. What is l(p(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0602153*-0.2.\nAnswer: 0.01204306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 20*v - 19. Let h be c(1). Suppose -2*u - j = -13, 3*j + h = 6*u - 4*u. Solve -40 = 5*b + 4*f, 3*b - 1 - 12 = u*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -2) + (-16 - (-37 - -19))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdfwfdwd. What is prob of sequence wff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126.6336 and 22.5.\nAnswer: 2849.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 1:35 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -409*d**2 - 5*d + 6. Let g(r) = -1227*r**2 - 16*r + 21. Give -2*g(t) + 7*q(t).\nAnswer: -409*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*z = 10, 0 = -2*m - 2*z + 5 + 1. Let k(f) be the second derivative of -5\/4*f**4 + 9\/20*f**5 + 2*f + 0 - 1\/2*f**m + 7\/6*f**3. Factor k(y).\nAnswer: (y - 1)*(3*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1005, 2014, 3025, 4038, 5053?\n\"Answer: m**2 + 1006*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*v - v = -1, -u - 10 = 4*v. Suppose 6 = 4*r - r. What is the first derivative of -g**3 - r + u + 1 wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 + (25 - 9) + -9 + 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 265 = -70. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2229564 or 2229594?\nAnswer: 2229564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 5279. Give o(79).\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2890, -2719, -2550, -2383, -2218, -2055, -1894?\nAnswer: -1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/180 + b**5\/18 + 2*b**4\/9 + 4*b**3\/9 + b**2 + 16. Factor p(c).\nAnswer: 2*(c + 1)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -41*s - 7. Calculate the remainder when u(-3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)*(-1 + -5). Let j = r - 7. Solve 9 = -2*l - j*n + 1, n = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13702467 (base 8) to base 12\nAnswer: 1062307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 424944 and 44946?\nAnswer: 4674384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.96 + 2.02. Let b = 0.9 - v. Let t = b + 0.08. What is t rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 8000 = -10*y. Round y to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 169 = -7*n - 19*l, -4*l - 84 = -4*n. Solve -5*a = 4*j - n, j - 5*a = -71 + 58 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 9*d = -30 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-2)\/(-4)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {c: 4, a: 5, m: 1, k: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -g - 35. Suppose 1968 + 2030 = 5*c - x, -g = -x. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/15*(-420)\/16. Suppose -73 = -11*s + n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*j**2*x + 88*d*j*x**2 - d - 9*j**2*x**2 + 2*j*x wrt j?\nAnswer: 6*d*x - 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -14*d**3 + 3*d**2 + 2*d - 2. Let o(c) = -28*c**3 + 7*c**2 + 5*c - 5. What is 2*o(u) - 5*p(u)?\nAnswer: 14*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 25. Suppose -z - 1 = -2*k, 4*b = -5*k + 7. Sort -3, -5, -4, b in increasing order.\nAnswer: -5, -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (3 - ((1 - (-1 - -8)) + 7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21635 or -2\/17?\nAnswer: 21635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b**2 - 30*b - 1. Let w(y) = 17*y**2 - 31*y - 2. Let c(t) = 5*a(t) - 4*w(t). What is c(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(18 - 18 - q) + (3*q + 0*q - 2*q)*(-1 + 0 - 1) + q - 3*q + 0*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -57*b + 80. Solve -b*h = 275 - 271 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1692 and 18024354?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77328 divided by -19332?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 8:21 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 46. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -621568 (base 9) in base 11?\nAnswer: -231a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4639*j**2*q**4 + 79481*j**2*q - 24*q**5 wrt q?\nAnswer: 55668*j**2*q**2 - 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -23130.511 to zero decimal places.\nAnswer: -23131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 1130\/6 - 12\/9?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b + y = 199 + 223, 0 = -0*b + 2*b - 4*y + 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -40*g. Let b(f) = -f**2. Determine d(b(p)).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13204345 + 542?\nAnswer: 13205331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665434 is divided by 836?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*y + 43*y + 17*y**3)*(-2 + 1 - 1 + 3 - 4 + 3 + (4 - 5 + 0)*(0 - 4 + 2) + 3 + 0 - 5 - 7 - 16 + 0) to v + c*y + x*y**3 + d*y**2 and give x.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 15*w. Let p be c(-15). Suppose -3*f - 3*q - 3372 = p, 0 = -7*q + 3*q - 16. What is f rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5582275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -37\/638, 2\/9, -3\/4 in decreasing order.\nAnswer: 2\/9, -37\/638, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649*y - 716*y = -268. What is the third biggest value in y, -0.4, -3, -0.1, 17\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/117 - 1199\/468. Let m = 5621\/2889 + -14\/107. Calculate the common denominator of c and m.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -413*g + 6. Let u be s(11). Let x be (-2)\/10 + u\/(-260). Let j = -59\/4 + x. Put -3, -0.5, j in ascending order.\nAnswer: -3, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -49*r - 5*r + 10*r - 8. What are the prime factors of s(-3)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12. Suppose 3*f - 4*r = 921, -f + d*r + 307 = r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = 4*l - 13, -5*l - 5*q + 20 = 0. Suppose -3*g = g. Sort g, l, -2 in decreasing order.\nAnswer: l, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 14*p**2 + 1\/15*p**5 + 0*p + 4\/3*p**3 + 1\/60*p**6 + 0 - 7\/12*p**4. Factor a(z).\nAnswer: 2*(z - 1)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvzvvzvoilloiloziol. What is prob of sequence ovzi?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12640\/560 - (-1 - (-8)\/14). Suppose l*d - 132 = -10*d. Calculate the highest common factor of 3 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42503439.\nAnswer: 3, 11, 1287983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/125)\/(-6 - 89\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)\/u**2)**(1\/21) assuming u is positive.\nAnswer: u**(-11\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -619 + 745. Let w = -123 - -207. What is the highest common divisor of w and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 - 9*d - 7. Let l(h) = 6*h - 2 - 3*h - 71*h**2 + 70*h**2 - h**3. Let s be l(2). What is r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*t + 14 - 15 + 18072*t**2 - 34*t - 1271*t**2 as s*t + a*t**2 + y and give a.\nAnswer: 16801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - l**2 - 5*l + 8. Is r(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (-252)\/(-16). Suppose 4*q - 48 = -3*m, -3*q = 3*m - i - 29. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 94871846 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -2781362?\nAnswer: 2781360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 11. Let x(t) = 1007*t. Determine x(n(d)).\nAnswer: -1007*d + 11077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(304))*6 + sqrt(304)*-1*-3 + -4)**2 + 4.\nAnswer: -1584*sqrt(19) + 25112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 324 = -4*h, -4*h - 523 = -5*v - 118. Suppose v + 177 = 4*l + n, -3*l + 196 = 2*n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001106 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143\/((-883025)\/(-2100)) - (-9)\/(-117).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13 = -3. Suppose -q*k = 3*o - 6, -2*k + 2 = -o + 2*o. Suppose 5*j - o*h - 55 = -3*h, 2*j = -2*h + 14. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2342 - -4530. What are the prime factors of o?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4\/4 + 1437*s**3 + 1834569*s**2\/2 + 194769117*s - 782751357\/4 = 0 for s.\nAnswer: -639, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -12, -22, -36?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127077 divided by -6.\nAnswer: -42359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89689 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0189414868 and 24056.\nAnswer: 24055.9810585132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63.4 + -63. What is the nearest to 8 in 0.1, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 117831087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 62efc (base 16) to base 3\nAnswer: 202120220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43 and 263622.9.\nAnswer: 11335784.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935678 is divided by 1233?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3833423 and 23635.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6786)\/(-88))\/(-29) + 77\/28\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -7*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdff when four letters picked without replacement from dfffffff?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.55. Let n = 0.4 - v. Let f = n - -0.136. Round f to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = -78. Let q = k - 57. Let b be 9\/q - 7600001\/(-2). What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1205201 (base 6) to base 5.\nAnswer: -4011421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73663245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/8)\/1 + 735\/140. Find the second derivative of 40*f**5 - 47*f**5 + 28*f**v + f wrt f.\nAnswer: 420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 9*i - i**3 + 49 + 0*i**3 + (0 - 2*i**2 + 0)*(-2 + 0 + 0)*(494*i + 750*i - 266*i) to o*i**3 + y*i**2 + u*i + z and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -29.1207?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = -5*q, -2*q + 5*f - 4*f = -2. Solve 2 = q*g - 4*s - 0, 4*s = 5*g - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 5 (c) -5\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*i = -81*i + 1333231 + 1659824. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-493)\/116)\/(2\/(-88)).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 42*z - 33*z)*(6*z**4 + 8*z**4 + 6*z**4).\nAnswer: 80*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**3\/2 - 2*t**2 - 15*t - 28. Let u(a) = 3*a + 5. Let z = 57 + -54. Determine z*d(w) + 2*u(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Suppose 0 = -5*f - 5*u + 9 + 6, -f = -3*u - 19. Determine a(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/261 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1737930 and 57798?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v - 4*v + 0 - 2. Let k(n) = 7*n + 1. Let l(m) = -10*m + 13. Suppose -i - 18 = -5*t, -6 = 2*i + i - 3*t. Let z be l(i). Determine z*k(y) - 4*d(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137465226 by 6.\nAnswer: 22910871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 2, 43, 122, 251, 442, 707, 1058?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -25*b. Suppose -4*r + 14 - 2 = 0. Suppose -j - 5*z = 11, -2*j + 4*z = z - 17. Put r, b, j in descending order.\nAnswer: j, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 30*l**2. Let q(f) be the first derivative of 8 - 70*f + f**2 + 70*f. What is u(q(r))?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38501003 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o. Let x be o + 3 + 2 + 1. Suppose -3*h - x = -45. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 41 (c) -5 (d) 0.1 (e) 4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 34199 + 34199.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 16, -2*v + 232 - 233 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = 4*w, 4*w = -2*a + 9*w - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 5*y + 6. What is u(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 57. Suppose 0 = d*q - 955 - 81. Let k = 75 - q. Calculate the least common multiple of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4098994 + 1.41. What is g rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 25*g - 1. Let n be v(-13). Let c(a) = 277*a + 47. Is c(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**6\/6 - f**5\/5 - f**4 + 4*f**3\/3 + 2992. Factor z(h).\nAnswer: h**2*(h - 2)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -16. Suppose 3*v + z*v + 61 = u, -2*u = 3*v - 140. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 2.2, -4, -2 in ascending order.\nAnswer: -4, -2, -2\/27, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2 - 2)*(2 - 4 + 4 + (3 + 1 - 2)*(4 + 1 - 4) + (-4 - 3 + 4)*(-3 - 5 + 3)).\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*w - 256, 2*w - 357 - 75 = -5*t. What is the remainder when t is divided by 51?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*l**3 + 5*l**2 - 52 + 78*l**3 - 124*l**3 + 52.\nAnswer: -151*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -101*a - 9. Let j be p(9). Let h be j\/(-126) - 2\/7. Suppose h*c + 85 - 22 = 0. What is the third biggest value in -0.5, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -706*h - 5951. What is m(-9)?\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3868677 + 40*c - 3868647 + 7737324.\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = -213*c - 186*c + 774 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 10*m**2 - 4*m - 27. Let l be z(9). Suppose -6*w - l = -12*w. Solve -5*g = -w - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2)\/(-4 + 414\/99). Which is smaller: 59\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5\/3, -0.04, -2\/5, 0.77?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(80\/(-240) - 518\/(-1500))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3 + 3. Let w be 1276\/k*(-5 - -8). Suppose 0 = 4*d - 6*d + w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p - 10*p**2 - 1\/12*p**4 + 1\/60*p**5 + 0 + 0*p**3. Solve f(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 58. Let t(i) = -i**3 + 2*i - 5. Let v be t(-2). Calculate the remainder when 62 is divided by (v - 6)*n\/14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j + 14 - 15 = -54 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*f = -29967, -4*f = -23 + 11. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/11 - 116*w\/11 = 0. Calculate w.\nAnswer: 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1127585 and 8.\nAnswer: -9020680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64642 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 52 = 12*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10461)\/(-12) - 1\/(-4) - (-58 - -62). Calculate the highest common divisor of 1116 and n.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 53 = 3*c - 5*w, w - 3 = 45244*c - 45247*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 441, 462, 483, 504, 525?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8712 and 3.\nAnswer: -11.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, -1 in descending order.\nAnswer: 17, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 8 (b) -0.06 (c) -5 (d) 1\/6 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * 511880\nAnswer: 122851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.9 (b) 6 (c) -2 (d) -8\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329748 divided by -329748.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgy. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 + 48*p + 278*p.\nAnswer: 326*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 184*j**3 + 1 + 55*j**3 + 15 - 22*j**3.\nAnswer: -151*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442 - 4?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + 1*sqrt(525) + sqrt(21)*-2*1)\/((-6*sqrt(24)\/sqrt(4))\/(sqrt(72) + sqrt(72) + sqrt(72) + 2*sqrt(72) + sqrt(72))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 22*r**4 + 2*r + 1 + 17*r**4)*(-9*r + 39*r + 25*r).\nAnswer: -275*r**5 - 55*r**2 + 55*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-6)*a))\/(a\/((a*a**(2\/3))\/a)*a)*(a\/(a\/((a*a*a**6*a*a*a*a)\/a)))\/(a*a*a*a*a**(-2)*a) assuming a is positive.\nAnswer: a**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 + -0.5. Which is the third smallest value? (a) -0.9 (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/126)\/(4\/6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -i - 1, i + 3*i + 2*d = 10. Let w(z) = 6 - z - 4 + 5 - i. Suppose -s = m + 3 - 0, 5*s = 4*m - 15. Determine w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*x = 0, -z + x = -4*x - 12. Suppose -m = -6*m. Let u be (m - 1) + (-24)\/(-27). What is the nearest to -0.1 in z, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - g**2 + g + 2 - 4*g + 0*g. Let m = 110 + -106. Calculate y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296498687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + s - 3. What is the remainder when v(5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faf when three letters picked without replacement from sfqafppgs.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6190813 to the nearest integer?\nAnswer: 2488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.10538 rounded to 1 dp?\nAnswer: 81.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/39 or -0.1?\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 + 0*w**2)*(267*w - 8823 + 8823)*(-4*w + 4*w + 6*w).\nAnswer: 1602*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/(-45)*-3)\/((-16)\/((-432)\/45)). Let j = -8 - -4. Sort j, m, 0.3 in descending order.\nAnswer: m, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 - 109.5. Let i = 45.500002715 - c. Round i to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(6\/(-4))\/(-3). Let q(a) be the second derivative of -5*a**3\/6 + 685*a**2\/2 - 68*a - 6. Is q(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140776024 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(104) - sqrt(104))*5 + (sqrt(104) + sqrt(104) + (sqrt(104) - 2*sqrt(104)) + sqrt(104))*3)*1)\/((5*1*sqrt(80))\/(-1*sqrt(1210))).\nAnswer: 99*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001732764345 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471485 - 412943 - z + 0*z.\nAnswer: -z - 884428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n**2)\/n)\/n)\/(n\/n**(-1\/4))*(n**(-2\/3)*n*n)**(-24))\/((n**0\/n*n\/(n*n**(-8)*n))\/((n*n**(-4)*n*n*n)\/n*n**(-2)\/n)) assuming n is positive.\nAnswer: n**(-165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 2 + (1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) + (-58)\/(-18). Suppose a*t - 10 = t. Solve 4*z + z = -t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7173 is divided by 1182?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 3. Let s be 267\/(-9) + (-2)\/h. Let c = 71 + s. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5) + (-289)\/85?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 + 3224*i - 1299272 = 0.\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -21. Let z be (178\/(-10))\/((-4)\/(-10))*a. Is 1*(2 - -5*z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1840 and -25\/184.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -12. Let d(h) = 7*h**2 + 7*h + k*h - 4 - 20*h. Let u(f) = -27*f**2 + 15. Calculate 15*d(a) + 4*u(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let z be 0 + 0 + 0 + 4. Suppose 2*b + 5 = 3*b, -3*b = p - 19. Solve 0 = 8*f - p*f - 4*o + 20, z*f + 20 = -m*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0.0604312011\nAnswer: 2.9395687989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -35. Calculate the remainder when 60 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 632.56, -0.4, -49, -2\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*b + 150, -128 + 3 = -4*b - 3*n. Suppose 0 = -5*o - 4*j + 30, -j + 2*j = -4*o + b. Let r = 17 - o. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/10)\/(1\/2). Let t = -7 - x. Is 20 a factor of 42 + (-2 - t) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from caravaraar?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((2*sqrt(7))**2*3 - ((sqrt(70) + sqrt(70) + sqrt(70)*-2 - sqrt(70)) + sqrt(70))\/sqrt(10) - (-1*2*sqrt(84) + sqrt(84))\/sqrt(12)) + 2)*-2.\nAnswer: -166 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmzq when four letters picked without replacement from {q: 2, m: 2, z: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u + 66. Let y be b(-11). Suppose 0 = -y*w - 4*w + 88. What is the greatest common divisor of 77 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 263*a - 8566. What is h(-38)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26800884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159, -679, -1607, -2991, -4879, -7319, -10359?\n\"Answer: -8*f**3 - 156*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**3 + 11*p**3 - 11*p + 11 + 0*p. Let y(a) be the first derivative of 3*a**4\/4 - a**2 + 2*a - 17. Give 2*b(x) - 11*y(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432998 is divided by 958.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) - (sqrt(108) - sqrt(108)*3)**2 - sqrt(3) - (sqrt(3)*-2 - sqrt(3))**2*-1.\nAnswer: -405 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403402 - -33?\nAnswer: -403314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34815990 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -73*s**3 + 4*s**2 - 3*s - 7. What is the hundreds digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/17 + 14\/51. Let w be (-2)\/3 + (-17)\/(-3). Suppose 2*m - 3 + w = 0. Is u at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, -3, -1049?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*8\/(-12)*129\/(-1118).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d + 30 + 54. What is the hundreds digit of 784 - (-3 + (-2 - d) + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 7. What is k(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 + 12 = -3*i. Suppose -f - i = -4*n, 5*n - 4*f - 27 = 28. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9024131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, 2, 5, 3, 0.\nAnswer: 0, 2, 3, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 - 6. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15 = 5*v + 6*h, -3*v - 4*h - 10 = 0. Let r(a) = -3*a - 2. Let l be r(v). What is the closest to 2\/3 in -4, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173874045?\nAnswer: 5, 234774809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -820.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 2*f**2 + 75*f**3 + 15*f**3.\nAnswer: 90*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 - 589834*h\/11 + 589836\/11.\nAnswer: -2*(h - 1)*(h + 294918)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 15032?\nAnswer: -15024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - -8)\/((-16)\/(-9452)) + 1 is divided by 1182.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 9*y - 4. Let r be t(-9). Let d be 0 - r - (-4)\/2. Suppose -d - 2 = -4*s. Solve -v = -3*v - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(704) - -2*sqrt(704))**2 + sqrt(704))*2 - ((1 + sqrt(704) + 0)*3)**2)*5.\nAnswer: -411885 - 1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9228664 minus 2414?\nAnswer: -2413.0771336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2 - 72*g + 252 = 0 for g.\nAnswer: -21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.843 + -552.943. Round v to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.6? (a) 1\/3 (b) 5\/4 (c) -14\/3 (d) 22.8 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = 85*f - 377 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.129 in 12, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26498333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198925 divided by -1.\nAnswer: 198925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/153 + 15\/(-27). Do o and -108 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3666.4 - 3682.367. Let m = k - 0.033. What is the second biggest value in -2\/3, m, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 51*w + 267. Determine z(31).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2, d: 3, h: 2, e: 3, z: 1}. What is prob of picking 1 h and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2362927 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1261532\/3 + -420364. Factor 150 + 50\/3*u**4 + 668\/3*u**2 + r*u**3 - 440*u.\nAnswer: 2*(u + 5)**2*(5*u - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*o + 81*o - 223*o + 11 + 84*o.\nAnswer: 11*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p + 4. Solve 0 = -3*q + p*k + 2, -3*q - 2*q - k = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/290 and -77\/87.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22342092 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m + 122. Let l be k(9). Let n = -178 + l. Calculate the remainder when 60 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 705 + -613. What is the highest common factor of 92 and b?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/9, -4, 562, 145, -1.\nAnswer: -4, -1, 7\/9, 145, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63178 or -61363?\nAnswer: -63178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(8\/7)*r**5\/r)\/(r**3\/r)**12 assuming r is positive.\nAnswer: r**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109298?\nAnswer: 2, 7, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13712.03001 - 0.3\nAnswer: -13712.33001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 13. Suppose -5*k - 25 = -v, 0 = -2*k - k. Calculate the remainder when v is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -231, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**7\/70 + 3*f**6\/20 + f**5\/20 - 3*f**4 + 8*f**3 - 2*f**2 - 16*f. What is v in l(v) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223579598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13124\/5 - 39322\/15. Let c be 172\/42 - (-40)\/70. What is k in i*k**3 - 6*k**2 - 2\/3*k**4 + c*k - 4\/3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1. Let k(x) = x + 26. Let p(v) = -k(v) + 2*o(v). Let a be p(-31). Suppose -a*r = -59 - 82. Calculate the remainder when 91 is divided by r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = 4*y - 224. Let m = y + 249\/2. Let p = -34 + 101\/3. What is the closest to 2 in p, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1516088460 and 0.3353?\nAnswer: 1516088460.3353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2533498066 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-29)\/(-116))\/((-20)\/(-56)))\/(24\/(-48))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1264 and 24648.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -318 - 15922.\nAnswer: -16240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) 0 (b) -141 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24355542626 + 2?\nAnswer: -24355542624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 divided by 315?\nAnswer: 107\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851*o = 486*o - 17885 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19106 is divided by (40\/(-6) - -2)*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.46 times 26594\nAnswer: 544113.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1681 = -b + 2*j - j, -3*j + 8397 = 5*b. Suppose -2*m = -4*m + b. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13002059*c**3 - 538*c**2 + 8*c + 87.\nAnswer: 78012354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075236 to 3 decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 27*v**2 + 42*v - 24. What is the thousands digit of a(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 - 3 = 0. Suppose 3*l + r*b = 327, -2*b = 4*l - 5*b - 436. Let o = l + -50. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.237 - 0.337. Does 142\/3 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 2, f: 1}. Give prob of picking 1 f and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 6)\/1 - -10*23. Let x = -223 + b. Solve 8 = 5*o - 4*t, -3*o + x = o - t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 + 432*a = 0.\nAnswer: 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -9, 407 in increasing order.\nAnswer: -9, 0, 2, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w**2 - 2*w - 1. Let d be j(3). Suppose d*p + 10 = 3*p. Let v be -1 - (84\/28)\/(2\/(-54)). What is the greatest common factor of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9854 take away 794.4432?\nAnswer: 9059.5568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2)*-1*-2.\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + l - 5*l = -27, -2*w = -5*l + 5. Solve -d = -2*v - 0 + 1, 0 = -5*d - 5*v - w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*f + 80046566 - 80046566.\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 38*j. Suppose -3*b - 82 = 4*v - 9*v, 0 = b - 1. Let q(h) = 22*h - 7*h - v*h. Calculate r(q(w)).\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:02 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 - 5*h**3*n + 107*h**2*n + 2*h*n - h - 10*n + 1253 wrt h.\nAnswer: -12*h**2 - 30*h*n + 214*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:39 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/6, 53\/2, 2\/4517?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23325 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288792 and 428463?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506 - 1107*u**2 - 1105*u**2 + 2207*u**2.\nAnswer: -5*u**2 - 1506","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14167*h - 29469. Determine y(2).\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b + 2*m - 45 = 0, 5*b - 4*m = 15. Let t = b - -3. Let o = 14 - t. Solve -o*g + 11 = 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7632 + -64?\nAnswer: 7557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1054 and 133858?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 4 (b) 1\/7 (c) 25 (d) -2 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10099748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228747 + 228747 - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -452942.3 and -1.\nAnswer: 452942.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = -2. Suppose -5*q = -29*c + 27*c + 32, -c + q = -22. What is the smallest common multiple of (-9)\/6*(u + -9) and c?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pnnpnppnpp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 55*n**3 - 4*n.\nAnswer: 55*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21771 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 12*q - 3. Let m be p(6). Let g be 1\/(-2) - m\/(-14). Is 4 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3 + 185*d**2 - d - 189*d**2 + 2*d. Let t(l) = l**2. Give -6*t(k) - x(k).\nAnswer: -2*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + u + 20 = 6*u, -3*u + 40 = 5*o. Let s = 7 + o. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363 and 25179?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:29 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4. Let k(f) = -5*f + 95. Let b(h) = -k(h) - 25*q(h). Let i(y) = -86 + 88 + 2*y + y. Determine -2*b(o) + 5*i(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_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: Suppose 0 = 2*n - 3*c - 3, n - 18 = -0*n - 4*c. Let z = 2 - n. Let j(m) = m**2 + 4*m + 6. What are the prime factors of j(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 676 - 680. Let c be (3 + -2)\/((-2)\/6). Let g be (-28)\/(-36) + (-2)\/(-9). Sort c, g, d.\nAnswer: d, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/22219156 and -49\/7300.\nAnswer: 555478900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2 > -1158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -11)*3*(-220)\/(-33). Let v = -193 - b. What is the lowest common multiple of 5 and v?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from yuuyvypvyzyyyvv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62b - -3?\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -183 and -0.1357.\nAnswer: 24.8331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-144)*(-9)\/15\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -141.2225\nAnswer: 9320.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let a(t) = -3*t**2 - 7. Let x(k) = -a(k) - 6*v(k). Differentiate x(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4109?\nAnswer: 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454060.\nAnswer: 2, 5, 73, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 31. Let z be 182\/(-42)*(-36)\/(-8). Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, s: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 170, 380, 674, 1052, 1514, 2060?\n\"Answer: 42*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -12. Suppose 0 = -r*b + 110 + 10. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*w - 165*w + 765*w - 166*w - 120*w - 161*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 1\/20*u**5 + 5*u + 5\/2*u**2 - 1\/6*u**4 - u**3 + 0. Let v be w(4). What is the highest common factor of v and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**3 + 11*k**2 + 5*k**4 + k**3 - 1 - 4*k**4 - 15*k**2 to z*k + x*k**4 + c*k**2 + f + q*k**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 less than -4222?\nAnswer: -4222.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 248 = -3*p - 0*p, p = 2. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -33. Suppose 2*j - v = 187, j - 71 = -d*j + 5*v. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d*d\/d**7)\/d*d)\/d)\/(d*d\/d**(4\/9)) assuming d is positive.\nAnswer: d**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6664, 6666, 6668, 6670, 6672, 6674?\nAnswer: 6676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-230)\/55 - 136\/(-22). Suppose l*h - 17 = 7. Solve 4*u = 3*y - 0*u - 24, h*y = 3*u + 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 149*n = 3*c + 146*n - 53, c - 1 = 3*n for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6a8 (base 11) to base 8\nAnswer: -1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 493698937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i + 0*i)*(-2 + 0 + 3)*(-12*i + 71 + 12*i + 2*i**2) - 5*i**3 + 4*i**3 - i**3 + (i - 5*i + 5*i)*(0*i**2 - i**2 - i**2) - i**3 - 2*i + 2*i.\nAnswer: -9*i**3 - 142*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.011 greater than or equal to 5\/467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*f**3*i**3 - f**3*i**2*l - 8*f**3*i*l - 2*f**2*i**3*l - 2*f**2*i**3 - 459*f*i**3*l wrt f.\nAnswer: -342*i**3 - 6*i**2*l - 48*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-1428)\/(-510)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.6657 to 1 dp.\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37773 and 37773?\nAnswer: 37773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*b = -82*b + 7020. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g - 2*i, -2*i - 3*i - 24 = -2*g. Suppose -g*f = -4*f - 14. What are the prime factors of (-12)\/f*(-14)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20\/(z**(-12)*z) assuming z is positive.\nAnswer: z**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36130 is divided by 1337?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007823 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 10. Let h be 866\/6 + u\/(-6). Let g(w) = 15*w**2 + 1. Let i be g(-1). What is the highest common factor of i and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 2376024?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 19. Let t(y) = y - 8. Let q be t(r). Suppose 6 = n - q*n. What is the remainder when n is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45094 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1056 and -103\/5208?\nAnswer: 229152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 22*v**2 - 42*v + 1. Let u be n(2). Solve 0 = u*z + 6*z - 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r - 35 - 100 = -43 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.759 - -102.80733.\nAnswer: 96.04833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 21097?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 656000 rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 256, 261, 268, 277, 288?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 15, -5*a = -a - 3*f - 201. Let l(t) = -t + 5. Let i be l(-4). Calculate the greatest common divisor of i and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + 36.87. Round q to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 4884*x + 2837540.\nAnswer: (x + 674)*(x + 4210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74870.513499026 - -74870.626. Let v = 0.1125 - j. What is v rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/357597 and -29\/6079149.\nAnswer: 6079149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*o**2 + 3)*(-o**2 - 3*o**2 - 3*o**2) + (-3 + 4 - 2)*(2*o**4 - 3*o**4 + 2*o**4) + o**4 + 2*o**4 - o**4 + 4*o**4 - 3*o**4 - 3*o**4.\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*48\/448*21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86, -161, -234, -305, -374, -441, -506?\n\"Answer: g**2 - 78*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55294421.\nAnswer: 7, 13, 17, 31, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/(-91) + 38\/(-7). Let a(y) = 6*y - 2. Determine a(c).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 5989 (c) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 327*i + 41 - 25 - 16 to p + d*i and give d.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -116\/26775 and 97\/14025.\nAnswer: 294525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1223 - 761 + 3559)*(-2 + 3 - 2*y - y) + (4*y - 2*y - y)*(0 + 3 - 4) as b*y + r and give b.\nAnswer: -12064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -15. Suppose -3*z = 2*z - c*i - 8, -2*z - 6 = 3*i. Let s = -6 - -5. What is the nearest to 2\/5 in z, s, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148\/11 >= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 6420*m + 1750707. What is c(262)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 + 3*o**3 + o**3 - 3*o**3 + 2*o**3 - 3*o**3 + (-2 + 2 - o**3)*(-3 + 4 - 2) + 1 + 2*o**3 - 1)*(-1350*o**2 - 385*o**2 + 32*o**2).\nAnswer: 5109*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1184 + -1184.4. Sort y, 1, -50, 0.2 in decreasing order.\nAnswer: 1, 0.2, y, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*u = 3*u + 77, -4*u = -3*v + 73. Suppose -4*b = 2*w + 38 - 146, w - 54 = -b. What is the remainder when w is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (sqrt(98) + 0 - sqrt(98)))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + -0.22. Let l = 0.07 + d. Let w(s) = s**3 - 11*s**2 - 13*s + 7. Let h be w(12). What is the nearest to 2\/7 in h, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let d = s + -2. Let v be 6\/d - 0 - 3. Let b(g) = g. What is b(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = j + 163, 5*r - j + 275 = -115. Let p = -34 - r. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 4.8. Let o = s + 5.94. Let a = 0.26 + o. What is the second biggest value in -1\/3, 4\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 8*n = -6*n + 702. Let q(t) = -t**3 + 25*t**2 + 24*t + 49. What is q(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 7*a**2 + 73*a - 3788. Let v(p) = -6*p**3 + 23*p**2 - 258*p + 11363. Let s(d) = 7*i(d) + 2*v(d). Differentiate s(r) with respect to r.\nAnswer: 6*r**2 - 6*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**39*f)\/(f\/(f**(1\/43)\/f*f*f)) assuming f is positive.\nAnswer: f**(1764\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1374\/46175 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/27*-3 - -4. Solve a - 6*a - 5*o = -35, -i*a = -2*o + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2025, 8437, 19129, 34101, 53353, 76885?\nAnswer: 104697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 564.5 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*b - 11 - 438 - 6 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4087212g in nanograms?\nAnswer: 408721200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*10152\/752\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l + 37. Suppose -2 = 4*k + f + 2, 3*k - 3*f - 12 = 0. Let d be 0\/((-1)\/(k - -1)). Is a(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4\/19, -119, -0.21, 5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4220, 8389, 12558, 16727, 20896, 25065?\nAnswer: 29234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 522285*v + 12534841. What is r(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n. Let l be (-16)\/((-6)\/(3\/1)). Let m = l - 11. Calculate f(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.68 < 52165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + 11 + 5 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -4 - ((-175 - -72) + -22)) + (-11 - 1).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 5*w - w)*(0*w + 0*w + w) + (0 - w**2 + 0)*(-3 + 5 + 0).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r. Let j(o) = 330 + 335 + 39*o - 665. Calculate q(j(y)).\nAnswer: -312*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 8. Let y = -2 - j. Solve y = -z + 4*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1974145 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1409*u**5 - 10*u**4 + 28*u**3 - 854*u**2 - 27*u - 3 wrt u.\nAnswer: 84540*u**2 - 240*u + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 - 3 = 0. Let w = 26 + -40. Let m = -13.7 - w. What is the nearest to 2 in t, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*h - 27 = -381*h, 2*i + 6*h = 30 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 8 + 46)*(-3 + 1 - 3*a + 2*a).\nAnswer: -69*a - 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247243?\nAnswer: 433, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3298.82 and -0.06.\nAnswer: 197.9292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.212 + -1.642. Let v = 19.9830381 - 18.553039. Let a = p + v. What is a rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*l - 3 - 120*l + 58*l)*(4 - 1 - 5 + (-1 - 3 + 0)*(-5 + 3 + 4)).\nAnswer: -20*l + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = c + 9 + 85, 5*l + 86 = c. Suppose -3*j + 16 = -4*j. Let u = j - l. Solve u*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*a - 5*s, -34*s + 35*s - 34 = 5*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 841, 864, 923, 1036, 1221, 1496?\nAnswer: 1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -4) + 499 + (-42)\/(-2). Let u be (-236 - -1) + 3 + -2. Let g = u + l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 46)*(-7 + 2). Let b = -1670 - -1699. Suppose -b*p = -24*p - f. Calculate the remainder when 299 is divided by p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 3*s**2 + 4*s + 2. Let v be (-1)\/((-5 + 2)\/12). Let d be a(v). Let w(c) = 15 - 11 - 8 - d*c. Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30343893*d**2*m*r**2 + 729486*d*m*r**2 + d*m + d*r - 2*m*r**2 + 2 wrt d?\nAnswer: 60687786*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 25229?\nAnswer: 580267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -244*l + 7802. Let h be m(32). Is -1638 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23782\/27 + -881. Let l = c - -37\/54. Factor 0 + g**4 - 1\/2*g**5 + 0*g**2 + 0*g - l*g**3.\nAnswer: -g**3*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*g - 151*g + 3*x + 166475 = 0, 3*x - 9 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {u: 2, p: 1, j: 1, k: 7, d: 1, z: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.9 in 2\/11, -0.5, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30288.94cm in micrometers?\nAnswer: 302889400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a. Let h(s) = 78*s**2. Give h(q(d)).\nAnswer: 19968*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113\/118967 + 829279972\/41043615. Let v = r + 271\/69. Let w = v + -123\/10. Calculate the common denominator of w and -65\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -892423 greater than -892436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1, 20\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-7)*36\/2. What is the units digit of (-4)\/18 + 6114\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 3. Let r be g(4). Let l be -6*(-2)\/3 - r. Which is the second smallest value? (a) 0.7 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 966 + -966. Let d be (-7)\/1 - (-1 - (-1 - -4)). Put 3, l, d in ascending order.\nAnswer: d, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 70 = 45. Suppose 9*o + v = 23. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = 16*d - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - d = 18, v - 3 = -d - 1. Solve -6 = -v*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + sqrt(720))*-4 - (2 + sqrt(720))*-2)**2*-5*3.\nAnswer: -86880 - 5760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 15.4. Let k = f + 0.1. What is the third smallest value in -3\/5, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13612997 to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2133.305283 to one decimal place.\nAnswer: 2133.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097122877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-325)\/26)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 7*v. Let w be z(-6). Suppose 0 = -y + 5*y - 3*q - 21, 0 = -2*q - w. Let x be ((-4)\/(-30))\/((-10)\/(-150)). Is y at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -93, 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 + 6*u - 8. Let n(b) = -8*b**2 - 7*b + 9. Let z be (-14)\/4*(-408)\/(-238). Calculate z*n(l) - 7*v(l).\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(200)))**2 + 1 - ((sqrt(128) - 3*sqrt(128))**2 - sqrt(56)\/sqrt(7)).\nAnswer: -498*sqrt(2) + 4514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37\/(222\/20) + (-1)\/3. Differentiate -271*f**4 - 5492*f**s + 5492*f**3 + 110 - 22*f**4 with respect to f.\nAnswer: -1172*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 0*m**6 + 0*m + 4 + 1\/7*m**7 + 0*m**4 + 0*m**5 + 0*m**2 - 5\/3*m**3. What is the third derivative of o(a) wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/6? (a) -32\/5 (b) 3 (c) 0.3 (d) 1 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 9*o + 1. Let a(z) = z. Let j(l) = -2*l**2 + 2*l. Calculate o*j(c) - 4*a(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 8, 2, 1567, 1 in descending order.\nAnswer: 1567, 8, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 + 11. Let u be i(3). Solve 37*h = -5*m + 34*h + 14, 4*h + 16 = u*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*q**4 + 5*q**4 - 3*q**4)*(4 + 0 - 2)*(-2 + 4 + 0) + (4*q - 4*q - q**2)*(-q**2 + 2*q - 2*q) to x*q**3 + t + o*q**4 + f*q + i*q**2 and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrxrrprxxx. Give prob of sequence xp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(-1 - m + 1)*(-10 + 4 + 31) + 2*m + 4*m + m + (-3*m + m + 0*m)*(2 + 0 - 4).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1061676 (base 10) to base 14.\nAnswer: -1d8ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 108 = -0*d. Suppose 9 = 3*u - d. Suppose 2*q = 3 + 13. Solve 0 = 2*c - 5*s + u, q = 4*c + c - 3*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66175a (base 11) to base 4\nAnswer: 10001322023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*r + 102 - 20, 4*y = 4*r + 328. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 40592499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - o = -0*a - 3, -o + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2723 divide 216874607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 2*y - 14, -2*p - 23 = -3*y. Suppose -5*r = -4*g - 7, -2*r = -5*g - 5 - 8. Sort r, 0, p.\nAnswer: p, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167*s*y**3 + 192*s*y**2 wrt y.\nAnswer: 1002*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165912931 - -363912946. Suppose 4*u - 91294140 - 106705857 = -j, 4*u - 5*j - y = 0. Round u to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/3 - 7. What is the closest to 0 in s, -0.05, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -49. Determine r so that 19*r**3 - r - 5*r**2 + 5*r**4 - 29*r**3 + h*r = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190183653 to the nearest integer?\nAnswer: 13791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 215*i**2 - 100*i + 906. Calculate m(-108).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -104. Let j(i) = 17 + s - 34 + 11*i. Let a(b) = -b + 4*b + 0*b. What is j(a(q))?\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6880465961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-165)\/44 + 5)*26*10 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 12:13 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 133591, 267182, 400775, 534370, 667967?\n\"Answer: z**2 + 133588*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530903?\nAnswer: 29, 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 42*k**2 - 25*k - 70. Let n(m) = 20*m**2 - 13*m - 40. Let i(w) = -4*f(w) + 7*n(w). Let c(z) = -27*z**2 + 8*z. What is 7*c(y) - 6*i(y)?\nAnswer: -21*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4802609.07us in weeks?\nAnswer: 0.000007940821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rayk when four letters picked without replacement from {k: 10, a: 1, r: 1, y: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -68. Let k be v\/6*4\/5. What is the units digit of 7 + 6\/(k\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277.074 - -280. Let l = 0.074 + i. Which is the second biggest value? (a) l (b) 0 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((((h*h*h\/h**(-2\/5))\/h)\/h)\/h))**(-3)\/(h\/h**(-1\/2))**(-44) assuming h is positive.\nAnswer: h**(306\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k. Suppose x + 3 = 8. Suppose m = x*g - 0*m - 8, -5*g = 5*m - 20. Let r(s) = -16*s**g + 35*s**2 - 17*s**2. Determine u(r(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(500)*2)**2 + sqrt(245) + sqrt(245)*-1 + (-5*sqrt(60)*-1)\/(sqrt(12) - -4*1*sqrt(12)).\nAnswer: sqrt(5) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 4*n**2 + 2*n + 10. Is j(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5787, 7909, 10031?\nAnswer: 12153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1010, 1008, 1006, 1004, 1002, 1000?\n\"Answer: -2*x + 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 26. Let f be (v\/4 + -2)*12. Solve -2*b - 2*u = -5*u + f, b + 5*u = 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 3*x + 43. Let i(o) = 2*o**2 - o - 2. Let q be i(-2). Let c be k(q). Factor -3\/2*p + 1\/2*p**2 - 1\/2 + 3\/2*p**c.\nAnswer: (p - 1)*(p + 1)*(3*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 7 + 175*a**3)*(-2*a + 0*a + a)*(-2*a + 2*a - 5*a).\nAnswer: 875*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-3) + 14\/(-21). Which is the closest to -0.1? (a) h (b) -0.5 (c) -4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22682 is divided by 286.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3684\/2763)\/(84\/9)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 665 divided by 95\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 259684 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/60 - 5*k**4\/12 - 3*k**2. Find the second derivative of n(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 36 - 2*v**3 - 49.\nAnswer: -2*v**3 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:51 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*w + g, 5*w - 5*g - 75 = 0. Suppose 4*y = 4*l, 5*l + y - 4*y - 2 = 0. Let k = l + w. Calculate the highest common divisor of k and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94\/297 + 1538\/8613. What is the closest to 2\/5 in 1.4, 2\/17, n?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let v(k) be the first derivative of -3 + 0*k**2 + 0*k + 8\/3*k**3. Let t(n) = -n**2. Let y(j) = 35*t(j) + 5*v(j). Determine y(o(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 9:10 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 4, c: 1, p: 3, i: 5, m: 5}. What is prob of sequence ci?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.111.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose 5*i - 46 = 3*w + 6, 4*w = -16. Let m be (i\/4 - 4) + 24. What is the highest common factor of m and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/22 <= 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -0.21. Let a = 0.52 + w. What is the second smallest value in a, 5\/2, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -4, 9, 5, 2, 4 in descending order.\nAnswer: 9, 5, 4, 2, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1652898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126*(-728)\/4459*(-7)\/(-2).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*k**4\/5 + 69*k**3\/5 - 12*k**2 + 12*k\/5 = 0. What is k?\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(0 + sqrt(2299))*-1)**2.\nAnswer: -330*sqrt(19) + 20716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 1320?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-2985))\/((260\/20)\/13)?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105776058+-0.3\nAnswer: -105776058.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*49.58441.\nAnswer: 19.833764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/5 - 2928*w**2\/5 - 1428864*w\/5 - 232428544\/5 = 0.\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/5 + 4\/10. Suppose u = -u + a. Find d such that 3*d**2 + 51*d**2 - 24 + u*d**3 - 12*d**2 + 9*d**4 + 36*d**3 - 12*d = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 20*k**2 + 43*k + 21. Give m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1115.8 + -1116. Which is the closest to d? (a) -0.2 (b) -1\/6 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 6, 149 = 5*z - 3*o + 13. Calculate the remainder when z is divided by (6\/7)\/(5\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4404 (base 13) to base 16.\nAnswer: -24fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11846 (base 14) to base 16.\nAnswer: -a726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*c + w, -3*c + 6*c - 2*w = 13. Suppose l + 26 = c*l. Suppose 2*r + 3 = h, 5 - l = -3*h + 5*r. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 449, 456, 465, 476, 489, 504?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**4 + 4 - 2*k**2 - 5 + 0 in the form x + r*k**2 + f*k**3 + z*k**4 + t*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = a - 27. Let u = a + -36. Calculate the greatest common factor of u and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-29)\/(-2610))\/(29602\/7410 + -5 + 1)\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = l + 8*g - 3*g + 2, 0 = 3*l - 76*g - 195 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7848611 minus 0.0641256?\nAnswer: -2.8489867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19780\/221 not equal to -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(60)\/(sqrt(12) + sqrt(12)*2).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - x - 91, 0*x + 224 = 5*a + x. Let s = -85 + a. Let b = s + 168. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231031013 (base 4) to base 5\nAnswer: -21411114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(180) + 0 + (1*sqrt(180) - sqrt(180)) - (sqrt(5445) + 1 + ((sqrt(45) + 1 + sqrt(45) + sqrt(45)*1)**2 - sqrt(45))))*-3*2.\nAnswer: 252*sqrt(5) + 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -1, 307, 0, -0.61, 2\/3, -0.01?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n + 6. Is 16 a factor of p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, 13\/4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17720\/443)\/((-4)\/(-7)*196\/24)?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - -138. Let j = -291 + d. Which is the nearest to -2? (a) j (b) 1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-7)*21\/(-4) - (-29 + (-544)\/(-17)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266.829 - -267.184386. Let k = q - -0.044704. Let d = -0.4 + k. What is d rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, c: 1, u: 8}. What is prob of sequence cdud?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 + 119*l + 11427. What are the prime factors of i(-63)?\nAnswer: 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - -2) + (-34)\/(-578)*0. Determine h, given that -25\/2 + f*h + 5\/2*h**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 658 + -368. Suppose -284*b = -p*b. Solve 5*j - 15 + b = -2*t, -5*t = -5*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3231 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - sqrt(114)\/sqrt(6))**2 + (sqrt(19) - (-2 + -2*sqrt(19) + sqrt(19)))**2.\nAnswer: 8*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/128 - 261\/640. Let r be ((-3)\/2)\/(12\/(-56)). Let l = r + -5. What is the nearest to u in -0.1, -4, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l. Suppose l*s + s + 5 = 0, -3*m + 35 = -4*s. Suppose 5*r = m*p + 1 + 9, 0 = -5*p + 3*r - 4. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7840 - -18429. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*k = -15, -n - n - 5*k + 45 = 0. Factor -15*o + 9*o**2 + 16*o**2 - 5*o**5 - n - 15*o**2 + 20*o**3.\nAnswer: -5*(o - 2)*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -0.3 (c) -1.56 (d) -65 (e) 0.5 (f) -3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -97. Determine r so that -1\/4*r**h - 1\/4*r - 1\/2*r**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1443 and -1442 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334715, -334711, -334707, -334703, -334699?\nAnswer: -334695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1)*(-3)\/(-3). Let t be m\/10 - (-130)\/(-25). Let r = -3 - t. Solve -u = r*u - 3*n + 12, 4 = -u + 4*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 3*s + 5. Suppose 3*w + 405 = 387. Calculate c(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/5390505 and -77\/34890.\nAnswer: 10781010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 55*h - 161. Give v(29).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*t - 561*t = 168 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -260.3 + -9.7. Let b = i + 269.999746. What is b rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34034 and 572.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 5*m + 8. Let x be d(6). Suppose 0 = -x*q - 3*y + 112, -3*q + 170 = -0*q + 5*y. Suppose -2*t = -7*t + q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2540 divided by -3.\nAnswer: 2540\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4829*y**3*z**2 + 6*y**3 - 174088*z**2 - 2 wrt y?\nAnswer: 14487*y**2*z**2 + 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027352654 to 6 dps.\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - 57*c - 58*c - 16*c**3 - 69*c + 58*c to o*c + p*c**2 + b + v*c**3 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 + 0*r + 0*r)*(-1447*r - 8 - 1395*r + 2756*r) in the form h*r**4 + m*r + v + g*r**3 + q*r**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + sqrt(832) + (sqrt(832) - (sqrt(832) - 3*sqrt(832)*-6)))*5)**2 - (-2 + 5 + sqrt(39)\/sqrt(3))**2*-3.\nAnswer: 18*sqrt(13) + 5324866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*l**2 - 140*l**2 + 43*l**2 + 35*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 966053 and 2.\nAnswer: 1932106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 5?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105364, -105365, -105340, -105277, -105164, -104989, -104740?\n\"Answer: 2*n**3 + n**2 - 18*n - 105349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 50) + -32 + 16\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*r + 266 = -385 - 1043 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6837*m**2 + 17214*m**2 + 11599*m**2.\nAnswer: 35650*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -4 - (-1 + -2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139034 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0276+-0.3\nAnswer: -0.3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from xkxkkkkxxxxkx?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 46*l**3 + 9*l**2 + 22*l + 17. Let x(t) = 16*t**3 + 3*t**2 + 7*t + 6. Give -6*h(i) + 17*x(i).\nAnswer: -4*i**3 - 3*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**5 - 3*l**5 + 0*l**5)*(-13 - 14 - 5).\nAnswer: 32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -711.4 + 128.5. Let m = s - -583. Which is the closest to m? (a) -5 (b) -16 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l - 14*l + 27*l + 5*l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-36)\/234 + (-125600)\/(-130) is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4992.920008 + 4993. Let g = 3.92 - 4. Let x = g + d. Round x to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406732625 a multiple of 1013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -401990*(-3)\/(1 - 7). Let c = w - -140995. What is c rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + 118. Give h(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 4) to base 8\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t = 154. Let j = 79 - t. Suppose 13 = j*z + 3. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 + -23?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -7*c - 2*k - 6, 0 = -2*c - 5*k - 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 - 22*x**3 - 68*x**2 + 310*x + 357 = 0. What is x?\nAnswer: -17, -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65846015 - 0.002.\nAnswer: -65846015.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -369380 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-33)\/11*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from eeemeeeeemee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 17*y - 64. Give o(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110546.319 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:15 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.631 rounded to 1 decimal place?\nAnswer: 116.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(19) + (sqrt(171) + (sqrt(171) - sqrt(171)*1))\/sqrt(9) + sqrt(1216) + -2 + sqrt(1216))*-2*2)**2.\nAnswer: -73728*sqrt(19) + 6307840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 156, 394, 850, 1596, 2704, 4246, 6294?\n\"Answer: 12*g**3 + g**2 + 5*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1001000?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110629122 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335158294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8*x + 15*x - 1 = 8*x, 5*d + x = 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12*x**3 + 1569*x**2 + 252*x + 18462. Determine b(131).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a kilogram in grams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 19*y**6\/30 - 2*y**5\/5 - 115*y**4\/4 + 50*y + 7. Find the third derivative of m(d) wrt d.\nAnswer: 456*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + (4 - 93\/(-1)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794 = -28*m + 2*m + 1132 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/3059 and -155\/2622.\nAnswer: 18354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7.8*-0.09\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 455*11\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e5c - 4e?\nAnswer: -eab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 206.079ml?\nAnswer: 0.206079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 - l**2 + 0*l**2 + (0*l + 2*l + 0*l)*(4 + 2*l - 4))*(l + 6*l + 7*l) in the form s*l**2 + q*l**3 + a + n*l and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 + 2. Suppose 72*i - 55*i - 289 = 0. Suppose -13*t + 22 = -i. Let w(x) = -x**3 - 3*x**2 + x + 3. Give t*n(h) - 2*w(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 - 33*7962\/36. What is o rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + 221761*d**5 - 6*d**3 - 21153171*d**2?\nAnswer: 120*d**3 + 13305660*d**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose 5*a - 4 = 3*a. Suppose a = -q*l + 30. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 1, h: 1, d: 1, l: 1}. Give prob of sequence lbd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + c = 27, -3*z + c - 36 = -2*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 1472*m - 267150.\nAnswer: -2*(m + 325)*(m + 411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66236, -129227, -192218, -255209?\nAnswer: -318200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2*1)*(-27 + 20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 2 - 4*m + 11 + 10*m - 4*m.\nAnswer: -3*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 2, 0, -16, 38.\nAnswer: -90, -16, 0, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20030978.\nAnswer: 2, 11, 19, 173, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 4*o**2 - 2*o + 1. Let h be l(2). Let q(f) = -2*f - 13*f**3 - f**2 + h*f**3 + 3*f. List the prime factors of q(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 22*k = 532, 2*q - 1492339*k + 118 = -1492334*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -1\/32, 0.3, 2\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n**(-1\/15)*n)\/n))**(-2\/13) assuming n is positive.\nAnswer: n**(-62\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 1}. What is prob of sequence kk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 15*m**2 - 63*m + 21. Let n(z) = -45*z**2 + 190*z - 64. Let l = 0 + 3. Let i(v) = l*n(v) + 8*h(v). Factor i(u).\nAnswer: -3*(u - 4)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83585?\nAnswer: 5, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiio when four letters picked without replacement from {i: 2, o: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12595911 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a\/(a*a*(a*a**(-5\/6)\/a)\/a*a))**(-36) assuming a is positive.\nAnswer: a**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -178?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1945786, -7783143, -17512072, -31132573, -48644646?\n\"Answer: -1945786*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 37*u - 3. Let h be k(-5). Let x = -93 - h. What is the highest common divisor of x and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.125268 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -18423*i**2. Let d(h) = 24*h - 13. Give d(n(m)).\nAnswer: -442152*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/(3\/(-6)). Let k = 57 - 3. Suppose v*r - k = r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*(60\/(-8))\/(-5)*(-84)\/9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 403*z**2 + 3*z + 9 wrt z?\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 1, z: 4}. Give prob of picking 3 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 555\/(-6)*(-4)\/5. Suppose -5*l + 55 = 5*y, i = 6*l - 2*l - 2*y. What is the remainder when 3\/((6\/20)\/3) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 78. Suppose 5*r + r - r = 0. Let m be k(r). What is the greatest common factor of m and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 8*f + 3. Let b(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 4. Let o be b(-4). What is the remainder when h(o) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001971 rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*n**2 + 1 + 2*n**3 + 345*n - 341*n - 2*n**2 + 3*n**4 as m + x*n**3 + v*n + j*n**4 + r*n**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -4. Let v(p) = -p**3 - 39*p**2 + 85*p + 1891. What is the remainder when v(-40) is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*c + 181*c - 74*c)*(229*c - 137*c + 1455*c) to the form i + t*c + w*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*y + 52*y + 63*y - 304616. What is the greatest common factor of y and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4850*s*t**6 + 5*s*t**5 - 6*s*t**2 + 6477 wrt t.\nAnswer: -582000*s*t**3 + 300*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = 72. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 47 + 51 + 8187*p**3 + 3*p.\nAnswer: 8187*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + o**4 + o**4)*(o + 2 - 2) + (-4*o**3 + 0*o**3 + 3*o**3)*(-68 - 7*o + 68)*(2 - 2 - o).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g**2 - 9*g**4)*(3 + 7 - 2)*(0*g + g + g).\nAnswer: -144*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 7:29 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 34*t - 1914924*t**2 + 15*t + 1914926*t**2.\nAnswer: 2*t**2 + 49*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y - 11. Suppose -12*a = -14*a + 18. Let l = 15 + -10. Let v(i) = 2*i + 0*i + 0*i - l. Calculate a*v(c) - 4*q(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-750))\/(-4*2\/160)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/35 or -57267.6?\nAnswer: -57267.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = -3*g - 6, 2*q = 4. Let u(k) be the second derivative of 0*k**3 + g*k**2 + 0 - 2*k - 1\/12*k**4. Let o(l) = 2*l**2. Give o(u(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(225) - sqrt(225)*2)\/(sqrt(20)*4).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, s: 3, q: 1, k: 2, b: 1, w: 1}. Give prob of picking 1 i, 2 k, and 1 s.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = 5*q - 89, 0 = 2*m - 4*q - 90. What is the remainder when 194 is divided by m*(-7)\/15*(-5 - -2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 15*h - 193. What is the highest common factor of 266 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.38965 rounded to 2 dps?\nAnswer: 6.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8085\/(-5145)*86\/11*7.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -52, -81, -112, -145, -180?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8 (b) -715 (c) 3 (d) -0.2 (e) -190 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*u - 32*u - 1, -n = -2*u - 100. Solve 190*x = 176*x + n for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827216?\nAnswer: 2, 13, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(153)*-1*-6*-5)\/(1*sqrt(27)\/sqrt(3) - (sqrt(900)*1 + sqrt(900) + sqrt(900))) + -5)**2.\nAnswer: -600*sqrt(17)\/29 + 99400\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = -5*g, -5*w + 0*w = -3*g - 3. Suppose w*f = f. Suppose 5*o - 3*x + 729 = f, -4*x - 9 = -7*x. Round o to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/35*(-56)\/(-16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79325490 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**5\/60 + 17*g**4\/36 - 8*g**3\/9 - 4*g + 19. Factor y(x).\nAnswer: -x*(x - 16)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 9) to base 6.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (414\/(-15) - 2)*5. Which is the third biggest value? (a) -5 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6*b**2 + 1273058*b + 109438612 = 0.\nAnswer: -636271\/3, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1930.5 + 1930. What is the third smallest value in -0.056, 1\/4, f, -3\/8?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 47121499.\nAnswer: 47121498.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i*i**(-11)\/i*i)\/i*(i\/(i**(-10)*i))\/i)\/((i**1*i)\/i)**(-1\/40) assuming i is positive.\nAnswer: i**(41\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 15*b.\nAnswer: b*(b - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/13048 and -61\/14679.\nAnswer: 117432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3. Let g = -4.6 + 5. Let f = -0.6 - g. Do f and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 777?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 541*c**3 + 13*c**2 - 9*c - 153. Let m(b) = 136*b**3 + 3*b**2 - 2*b - 38. Let v(u) = 2*l(u) - 9*m(u). What is the third derivative of v(t) wrt t?\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 15?\nAnswer: -86\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.00095 - 31. Round x to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 3*p + 11. Calculate the remainder when 31 is divided by h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2469, -5518, -8567?\nAnswer: -11616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51276553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trr when three letters picked without replacement from rrrwwwrdwrtwdrd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2153295 months in centuries?\nAnswer: 0.00017944125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -13. What is the least common multiple of 3 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/4 + 2*l**3\/3 - l**2\/2 + 445*l - 11. Is 10 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8689565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 66. Let n be f(-22). Suppose -6*q + 207 + 21 = n. Calculate the remainder when 70 is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*-1*(-14 - -4). Let b(m) = m - 1. Calculate b(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9111.508 millilitres?\nAnswer: 9.111508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -38 in increasing order.\nAnswer: -38, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2336*l**2 - 309*l - 936. What are the prime factors of w(-3)?\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 20. Let q be s(6). Suppose -3*h - 13 = -y, -3*y + h + 7 = -q*y. Suppose -2*f = -4*r + 6, -y*f = -f - 5*r + 9. Sort 1, 2, f.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 353886619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814.2041 millilitres to litres.\nAnswer: 0.8142041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162 - (-140 + 151 + 146).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 35 = -5*b, -5*a - b = -59. What is the highest common divisor of a and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -256198 not equal to -256198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*a = -1471 - 12611 - 174 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from hhuhhuhhhhlhuhhlhuu.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**3 - 11*v**3 + 14*v**3.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = -162. Suppose -2*b = -139 - u. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21349?\nAnswer: 37, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354 (base 9) to base 11.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 + 11 + 327*p - 24 + 4.\nAnswer: 327*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 919, 5, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:00 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*q + 33 + 523*q + 542*q - 393*q.\nAnswer: 1088*q + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/288 and 59\/105.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8344 is divided by 1418?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4653 and 1771242?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.034 * -3.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 34535040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = 6. Suppose -4*j = 5*o + 308 + 47, -3*o + 3*j - 213 = 0. Let g = -39 - o. What is the least common multiple of g and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6003595 = -51*g + 6004003 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a factor of 521958441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3750 (base 16) to base 3\nAnswer: 201102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 196038656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -44*k**2 - 450*k - 101. What is a(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18775635.\nAnswer: 3, 5, 283, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m**2 + m + 2. Calculate v(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.73 * -42643\nAnswer: 116415.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -11*s**6\/180 + 167*s**5\/120 - 79*s**4\/18 + 13*s**3\/9 - 76*s - 2. Suppose j(v) = 0. What is v?\nAnswer: 0, 2\/11, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 0.1 (c) -1 (d) 2\/285 (e) 1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + 3*b**3 - 6*b**3 + ((3 - 3 + b)*(0*b + b + 0*b) + 0*b**2 + b**2 + 0*b**2)*(2*b + 9*b + 9*b).\nAnswer: 41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3529\/4665 or 0?\nAnswer: 3529\/4665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 503*u - 1182*u + 505*u to the form w*u + r and give w.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 11*i**2 - 10*i - 15. Let g be m(-12). Let c = 41 + g. Suppose 0 = -3*h - c*h + 485. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = 12*h - 105892. Does 123 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**6 + k**4 + 100810*k**3 + 28879*k**2 + 6*k.\nAnswer: 240*k**3 + 24*k + 604860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7259559 - -0.1?\nAnswer: -7259558.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62696.\nAnswer: 2, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.8 times -0.2?\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y**2 + y**3 + 2 - 2*y**3. Suppose -h = -4*h - 6. Is m(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-3))\/((-2)\/(-2)). Let t(w) = -w. Let i(f) = -1. Determine o*i(n) - t(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*o + 36. Let l = -9 + 4. Let z(x) = -2 + 10*x + 0 + 11 + 1. Let q(h) = 4*h + 4. Determine l*z(s) + o*q(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47213565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -3*sqrt(704))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 + 4 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jad when three letters picked without replacement from {a: 2, j: 1, x: 3, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1555.03 and 0.1.\nAnswer: -155.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Put h, -1, 22, -3 in decreasing order.\nAnswer: 22, h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiqfiiq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1135962829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*y + 36. Suppose -u + 2*t + 177 = y*t, 0 = -2*u + 5*t + 406. Let f(s) = -192*s + u*s + 2 - 4. What is f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6344, -5422, -2968, 1780, 9584, 21206, 37408?\nAnswer: 58952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*s**3 - 9616 + 9616 + 2*s**2 + s**3 - 2*s**2 + (2 + 1 - 4)*(-2 + 2 + 2*s**3) as z*s**3 + w + d*s + p*s**2 and give z.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.4314 seconds to microseconds.\nAnswer: 98431400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/27596189 and -5\/13071879.\nAnswer: 248365701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42 + 48\/(7 + -1). Suppose 5*r = 5*w + t, -2*w - 11 = -r + 8. Let h(d) = d**2 - 1 + 5 - 1 + 10*d. Calculate h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -4 + -7 - 1) + (-18 - (-111 - -34)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4485 divided by 195.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.39, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2296 + -2295.9996944. What is n rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 7. Let l be (24\/10)\/((-1)\/(-10)). Suppose 0 = y + 5*k - 9 - 5, -4*y - 4*k + l = 0. Suppose -d = -y*d. What is o(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109814*d = 108949*d + 66605 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-19 - 49 - -111)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 21 = -5*z, z - 4*c - 18 = -z. Suppose q - 3*u = 25, 0 = q + z*u + 6 + 9. Solve 0 = -0*d - 2*d - q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = -87*h + 144 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3958769 + -7989986. Let m = -4031225.999998 - c. Let w = m - -9. Round w to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145 * 892059.\nAnswer: 129348555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7458560 is divided by 1089?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/120 - r**4\/24 + r**3\/3 + 2*r**2. Suppose 0 = 3*y - u - 116 - 57, 3*u - 293 = -5*y. Let i = 58 - y. What is f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - 2813\/(-116) - 65\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290600 and 800?\nAnswer: 1162400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**5 + 140*o**4 - 265*o**3 + 130*o**2.\nAnswer: -5*o**2*(o - 26)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 57. What is the highest common divisor of j and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r - 131 = -27 + 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 21351?\nAnswer: -21352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*s - 4*s + 2, 3*s + 84 = 4*f. Let i(z) = 5*z + 11*z - f*z. Let u(b) = -57*b. Let m(q) = 25*q. Let x(w) = 9*m(w) + 4*u(w). Calculate x(i(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 5551 - 4699 = 0. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21300*(2 + (-106)\/3). What is h rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12159265 is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:33 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:07 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - 5*w. Let s(i) = 8*i**3 + 16*i. Calculate 5*s(q) + 16*t(q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 268188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h**2 - h - 3. Let a(n) = -7*n**2 + n + 2. Calculate 7*a(z) + 6*s(z).\nAnswer: -z**2 + z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 15*x**2 - 16*x + 21. Let k be v(-9). What are the prime factors of (-2*k\/(-2))\/(104\/(-312))?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 77, 150, 263, 422, 633, 902, 1235?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d*(d\/(d**(-43)\/d))\/d*d)\/d*d)*d)**(-9\/4) assuming d is positive.\nAnswer: d**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 2*s - 317. Suppose 23*q - s = 19*q. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.7. Suppose 42 = 5*q + n - 0*n, -3*n - 18 = -3*q. Suppose -4 = 2*d, 3*x - d = d - q. Which is the nearest to 1? (a) x (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, k: 4}. Give prob of sequence kk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37944 divided by -124?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 957781 and -1.\nAnswer: -957781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11238526 and 5694?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13533\/110 - 1284\/11. What is the common denominator of -49\/62 and o?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 284.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2005, 8038, 18131, 32314, 50617, 73070, 99703?\n\"Answer: 5*u**3 + 2000*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -25, -2, -14, 4, -4, 0 in decreasing order.\nAnswer: 257, 4, 0, -2, -4, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/3 + 36760*a**3\/3 - 1840403*a**2\/3 + 1190174*a - 588960 = 0. What is a?\nAnswer: -36810, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218*j + 83 - 83)*(-3*j - 77*j**3 + 3*j - 34*j**3).\nAnswer: -24198*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*n - 17 = -6*t, 3 = 3*n. Suppose -t*a + 1 = l - 6, -28 = -4*l + 2*a. Suppose -l*r + 179 = 18. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -614 - -1205\/2. Find the common denominator of (3\/2)\/(353\/76 - 5) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 + 1 = j, 5*w - 6 = -3*j. Suppose j*m = -m + 42. Let x be (-1)\/4 + 12\/48. Solve x*i + s - 2 = 2*i, m = -5*i - 2*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -92447?\nAnswer: 38\/92447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*v - 31. Let r(t) be the third derivative of -t**5\/60 - t**4\/2 - 19*t**3\/6 - 1962*t**2. What is r(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11861 + -4416. What are the prime factors of o?\nAnswer: 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 10. Let a = v + -10. Let w(n) = -n - 3. Determine w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3888960 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.7, -4\/9, 0?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9172, -3908, 1356, 6620, 11884?\n\"Answer: 5264*b - 14436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 25 = 0, h + 293*r - 288*r + 21 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-2))\/(-3))\/(7649\/30596)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(7)*3 + (-2*sqrt(7) + -2 - 2*sqrt(28)).\nAnswer: -3*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134\/67*(-3994)\/8*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3 + 2409*c**2 + 3*c + 13726.\nAnswer: 6*c**2 + 4818*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -35.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.414636 micrograms in nanograms?\nAnswer: 5414.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-5) - (-6)\/(-15). Let t be (12\/14 - 1)*(-262)\/(-131). Put -3\/10, y, t in descending order.\nAnswer: y, t, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1526455 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 350*k + 1769 + 2781. Let u = 0.2 - -2.8. Sort k, -1\/2, u in ascending order.\nAnswer: k, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101003212132 (base 4) in base 13?\nAnswer: -c071a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -597\/10?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*b*f**3 + 5*b*f + 12810*b + 3*f**3 - 12*f with respect to f.\nAnswer: 48*b*f**2 + 5*b + 9*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4 + 1309*a + 530 with respect to a.\nAnswer: -8*a**3 + 1309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -23. Let q(r) = r**3 - 2*r**2 + 4. Let n be q(2). Which is the closest to 0.1? (a) -2\/13 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from afkrahrrafha?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzqq when four letters picked without replacement from zqqqcqqqqzqzz?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -0.00492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12884535*w**3 + 6*w**2 - 770611*w.\nAnswer: 77307210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 12 + 12)*(-3*r + 3*r - 3*r + (0*r + 3*r - 5*r)*(1 - 4 + 1)).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -292*y + 25747. Let w be p(88). Let f(u) = -6*u. Let r be f(-1). What is the highest common factor of r and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11322934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 25*z + 222. Determine w(10).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o - 4. Let z(b) = -7*b - 5*b - 1 + 10*b + b. Determine h(w) - 4*z(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27193.38 hours to milliseconds.\nAnswer: 97896168000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -41 - (0 + -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514.9787 months in millennia?\nAnswer: 0.126248225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84813 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**3 + 39*v**2 - 15*v + 6. Let w be k(-5). Calculate the greatest common divisor of 14728 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31429 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -25, -23, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 296435918 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -3 - 37. Find the common denominator of -4 + j*201\/126 and (74\/(-40))\/(66\/55).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1913*j - 175 = 1938*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*j + 148*j - 292*j - 4*h + 6, 21 = 5*j - h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -10 + 13 + -2 - 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.079152 litres to millilitres.\nAnswer: 3079.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/187, 1\/3, -4?\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 2 + 102 = 0. Let f(g) = -4*g - 1. Let c = -6 + 5. Let m be f(c). Solve -2*w = -n*w - m*v - 9, 4*w - 2*v = -18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*246\/(-205).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/369 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*t - 7, -4*t - 23 + 19 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 - -1011212?\nAnswer: 1001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 446. Is m(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 6*z + 1\/2*z**2 + 1\/4*z**4 + 5\/3*z**3 + 18. Determine y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13565 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Let y be ((-2)\/(-2) + t)*-12. Is y != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence war when three letters picked without replacement from {a: 1, d: 2, r: 3, w: 3, m: 1, v: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, n: 9, a: 5}. Give prob of sequence anan.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -124*g + 25. Let n be j(1). Let y = -97 - n. Let -2\/5*d**y - 4\/5*d + 0 = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3 = 5*o + 2, -2*w - 14 = 2*o. Let t be 2*4\/(w + 5). Suppose 3*h - 176 = -t*h. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*t + w, -2*t + 2*w = -19 + 5. Let a(r) = r - t*r + 3*r - 2*r. Let c(n) = -2*n. Give c(a(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12664 - 3*z**2 - 12664.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v - 3. Let c be u(5). Let d = c - -8. Solve 0*p - d = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = -16. Let v be 280\/88 - 2\/11. Suppose -4*g - y = -f, v*f + 2*g - 26 = 40. What is the remainder when 86 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + z + 328 = 0, 4*z - 201 - 137 = -2*c. Let o = 1 + 14. Calculate the highest common divisor of c and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364 + -379. Let i = -2 + -4. Calculate the remainder when 30 is divided by (i + (-114)\/(-15))*u\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.3262 + 0.3582. Let o = k + -0.032. Let s = o + 8. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-296972)\/57110)\/((-663)\/5)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33765641 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 173, 341, 511, 683, 857, 1033?\n\"Answer: c**2 + 165*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uummmkmokokk. Give prob of picking 1 m, 2 o, and 1 u.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -61, -115, -201, -325, -493?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -896 + 838. Let m(p) = -3*p - 5. Let f(u) = 10*u + 14. Let w(s) = 6*f(s) + 17*m(s). Determine w(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48585283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i + 31. Calculate s(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (640*o - 175*o - 55*o)*(-1 - 2 + 0) to the form p + a*o and give a.\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmr when three letters picked without replacement from aranmddraaddrm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 - -1.2. Sort -0.2, 4, l.\nAnswer: l, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 0.3. Let p = 1 + -2. What is the biggest value in 5\/4, p, u?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -4274?\nAnswer: -4280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3024)*4)\/((sqrt(36)\/(sqrt(3)*-1))\/sqrt(4)).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437093 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -15, 2*i + i - 10 = 2*z. Suppose 11 = -i*k + k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = 3*j + 10, -4*j - 9 = -y. Let c(v) = 2*v**3 + v**2 - 2*v + 1. Let x(a) = a**3 - a**2 + a - 1. Calculate y*c(p) + x(p).\nAnswer: 3*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 + -341a?\nAnswer: -3307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 2 (b) 4 (c) -3 (d) -2 (e) -0.1 (f) -0.0349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/6 + 146*i**4\/3 + 214249*i**3\/6 - 107270*i**2\/3 = 0.\nAnswer: -340, 0, 1, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i - 98*i + 450 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(1*sqrt(70)*-5)\/((sqrt(10) - sqrt(10)*-2)*6))**2.\nAnswer: -40*sqrt(7)\/3 + 319\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 < 1\/3650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3925 - 19875 = -10*u. Does 29 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5399)\/(-3) - 15\/(-45). Suppose -j = -8*a + 5*a. What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(50\/15 + -3). Suppose -2*q + 271 = -f, -2*q + 246 = t*f + f. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-28)*(y\/(y*y\/(y*((y**(5\/2)\/y*y)\/y)\/y)))\/y assuming y is positive.\nAnswer: y**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-146)\/(-26572)*91)\/((-1)\/58).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16554503.\nAnswer: 7, 23, 37, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - ((-6 - -1 - -11) + -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -12, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77353841 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158406 less than -3?\nAnswer: -158409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/12 + 2*v**2 - 271*v + 5. Let j be (3\/(-2))\/(3\/(-8)). Let q = j - 1. Give o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -160 + 54 + 57 + 54 + 2*t. Determine r(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30231301313 (base 4) in base 9?\nAnswer: -6240308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*n**4 + 14*n - 16 + 52*n**4 - 19*n wrt n?\nAnswer: 1332*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 j, and 2 m when four letters picked without replacement from rhrjrmrrrmjmtjh.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-23)\/69).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -242c + 4?\nAnswer: -2428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 15. Suppose q = f, -2*k = 4*q - 41 - 19. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.958695 rounded to the nearest integer?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 8*i**2 + i**2 - 4*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77556 and 10521764.\nAnswer: 31565292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*m + 28 = 0, 62*b - 61*b - 4*m + 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 22 = -3*l. Suppose 3*f + 4*y + 87 = 5*y, y + 123 = -4*f. What is the least common multiple of (-1)\/(-2) + f\/(-4) and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 + b. Let i = -2 + 1. Let l(y) = -9*y**5 - 2*y**4 + 8*y**3 + 3*y**2 - y. Let o(u) = i*l(u) - w(u). Determine n so that o(n) = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -3, -0.3, -1\/10 in descending order.\nAnswer: -0.09, -1\/10, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3198114036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-553))\/((-491)\/(-3437))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149978630 rounded to the nearest one million?\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 129, 258, 387?\n\"Answer: 129*t - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 582 + -4576?\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040 = 19*d - 6*d. Let h be (-74)\/(-8) + d\/64. Let a be 4\/((-1)\/(-8)*1). What is the greatest common divisor of h and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001101 - 10?\nAnswer: -11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 3 - 2 - ((12 - 3) + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56139490 is divided by 382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 16 + 2 + -9 + -18 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 29 = 2*t - 0*t, 27 = -q + 5*t. Calculate the remainder when 22 is divided by q\/(-21) + (-35)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 7*l + 6. Let b be m(-6). Let v(w) = -3*w - 2*w + b*w. Let i be (-5)\/4 - ((-98)\/(-56) + -2). Give v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 382.442 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17841, -71357, -160551, -285423, -445973?\n\"Answer: -17839*t**2 + t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:32 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 6) to base 5\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*v = 272, g + 4*v - 680 = -4*g. Let b be ((-4 - 20\/5) + 3)*986\/(-290). Calculate the highest common factor of g and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -125?\nAnswer: 125.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5 + 4*n + n**2 - 2*n**2 + 0*n. Let t be w(5). Let g be ((-114)\/304)\/(6\/(-32)). Solve -2*q - 4 + g = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14716 - 20253*l - 7367 - 7349 to the form t*l + p and give t.\nAnswer: -20253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 7052645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1241.028l?\nAnswer: 1241028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ark when three letters picked without replacement from {k: 1, r: 2, n: 2, y: 1, a: 1, l: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h = -162*h. Factor 1\/3*l**2 + 0*l - 1\/6 + h*l**3 - 1\/6*l**4.\nAnswer: -(l - 1)**2*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/6 and 93\/7095494?\nAnswer: 21286482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1400 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 27*z**2 - 90*z + 5. Let g be a(30). Suppose 22 = -30*d + 52*d. Sort d, -1, -4, g in descending order.\nAnswer: g, d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -135011115?\nAnswer: -135011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -388 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 7)*(2 - 6 + 3)*(6*u - u - 3*u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11*v - 2 - v in the form u + c*v and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-114)\/10 + 6. Let 0*o - g*o**2 + 3\/5 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -5, -6, -1, -2 in ascending order.\nAnswer: -33, -6, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2061 and -0.043942.\nAnswer: 2060.956058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9636.757 + 11150.2523. Let r = w - 1520.7. Let x = 7.2 + r. What is x rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 6*u + 3. Let o be t(-5). Let b = o + 44. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3 + 23, -226 = -2*x - 4*j. Suppose -x = -3*r + 2*r - 3*y, 215 = 2*r + 5*y. What is the common denominator of 89\/20 and 165\/2*5\/r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7079\/1291 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.199 and -0.47873.\nAnswer: 0.57399727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6245 + -6245.1. What is the fourth biggest value in -1\/6, 4\/679, 0.3, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(68) + (sqrt(68) - sqrt(68)*2))*1)\/(6*(sqrt(4) - (sqrt(4)*3 - sqrt(4))*4)) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21453515 (base 6) in base 9?\nAnswer: 1182632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s - 17 = -141 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 11?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 1. Let z be i(-1). Let u(h) = -3*h**2 + h + 1. Let q(y) = -y + 16. Let b be q(11). Let k(c) = -2*c**2 + c + 1. Determine b*k(t) + z*u(t).\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -34*w + 12 + 77. Solve 8*r - 8 = 4*c + 7*r, -w*r = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4. Which is the nearest to j? (a) -0.1 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118697, -237405, -356113, -474821, -593529?\nAnswer: -712237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*m - 30*m**2 - 190*m**6 - 7*m**4 - 17*m**2 + 7*m**6 - 27*m**2 + 70*m**2 wrt m?\nAnswer: -21960*m**3 - 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -152*f - 318. Let y(s) = -148*s - 318. Let z(w) = 4*i(w) - 3*y(w). What is the first derivative of z(l) wrt l?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5600098 divided by -9?\nAnswer: -5600098\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 30 + 29*n**3.\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2298, -2283, -2268, -2253?\n\"Answer: 15*a - 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.11 (b) -0.3 (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 1 + 3*a**2 - 2*a + 0*a**2 - 1. Let i(x) be the third derivative of -x**5\/5 + x**4\/8 + 3*x**3\/2 + x**2. Let k(m) = -4*i(m) - 15*o(m). Factor k(c).\nAnswer: 3*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 - -1110100001110001111?\nAnswer: 1110100001110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 7*a + 4 - 18 + 4.\nAnswer: 7*a - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*i - 22, 2*g + 25 = 5*i + 6. Let z be -6*((-15)\/6)\/i. Suppose -p = -z*p - 4. Sort 4, p, 3 in decreasing order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p = 40*p + 510. What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 63*g - 20. Give u(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 23*k + 26. Let m be f(-22). Suppose -3*u - 790 = -5*z, -2*u - u + 605 = m*z. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.391101311 rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**4 - 4*x**3 + 4*x**2 - 4*x + 4. Let f(m) = 17*m**4 - 7*m**3 + 8*m**2 - 9*m + 9. Let q(d) = 4*f(d) - 9*g(d). Factor q(n).\nAnswer: -4*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3971*c**2 + 1981*c**2 + 1985*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Suppose 0 = -d + 1 - 0. Let f(y) = -8*y + 2. Let w(h) = d*f(h) + 6*q(h). Calculate w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((8\/(-26))\/(-2))\/(-84*(-52)\/14196). Which is the closest to 0? (a) -7 (b) 1\/5 (c) i (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Suppose 3*t = 5*t + 12. Let q(a) = 7*a**2 + 6*a + 6. Let y(s) = 6*s**2 + 5*s + 5. Let i(v) = t*y(v) + 5*q(v). Determine i(h(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - q**2. Let x(g) = -9*g + 64. Let m = -92 - -97. Let z be 21\/15*(10 - m). Let o be x(z). Give j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/15*30\/9. Let i(n) = -3*n + 0*n + v*n. Let a(h) = -2*h - 1. Let d be (-13)\/13 + (3 - -1). What is d*i(p) + a(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -64. Let i be (64\/20 + -3)*2. Sort i, -1, d, 1 in ascending order.\nAnswer: -1, i, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671341 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {r: 5, x: 4, d: 1, u: 2, n: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 563040 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 1.4. Let n = u + -0.8. Let g = 1.8 + n. Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.96 + 0.04. Let f = 3 - u. Let q = -1.68 + -0.32. What is the third biggest value in f, -2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6 - 152*g - 36*g + 0 + 11. What are the prime factors of r(-1)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrpggrwprbug. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 72*i + 1. Let v = -30 + 29. Let g be u(v). Let j = g - -127. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(98)*5*4 - 4*2*sqrt(98)*-1*-2)**2.\nAnswer: 2464*sqrt(2) + 189744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n**2 + 8*n. Let t be c(5). Let d be 1\/(-2)*2*6. Is (d\/5)\/(4\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16200 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -132128 - 0.09\nAnswer: -132128.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 27*h**2 - 57*h - 26. Let k be d(29). Let m(s) = 3*s**2 - 2. Let b(u) = -u**3 - 3*u**2 + u + 3. Give k*m(x) + 2*b(x).\nAnswer: -2*x**3 + 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94 times -0.4?\nAnswer: -0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.119 in -16, 28, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + x**2 - 3*x + 10. Let t be m(0). Solve 0 = -t*a - 196 + 246 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4947 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + 99. Does 42 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 14. Let j be u(-20). Suppose j*f + 6 = 234. Let a = 67 - f. What is the greatest common factor of 29 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(8) + sqrt(128)))**2 + -4.\nAnswer: 4996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*t - 17 + 56, -t - 2*o - 160 = -175 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 2 + 2 + (7*v - 3*v - 6*v)*(-9*v + 17 - 17) + 6*v**2 + 0*v**2 + 3*v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893353, -893354, -893355, -893356, -893357, -893358?\nAnswer: -893359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-1)\/(-75))\/(27346\/339 - 81).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 684\/24*24\/(-36)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sljuumf. Give prob of sequence sm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.403 rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {e: 4, i: 1, b: 4, f: 6, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/4 + 5*f**4\/6 + 5*f**3\/2 + 11*f. Factor t(s).\nAnswer: -5*s*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l**2 - 2. Let f be x(-3). Let i = 72 - f. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.4 and 0.021334?\nAnswer: 1.378666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34108 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2729927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (-2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f - 14*f + f + 148 + 7*f. Let g be q(6). Let v = 42 + -30. Solve 0 = -g*j + 4 + v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/42*-7*-5)\/(-7).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 447 + -452. Which is the smallest value? (a) -0.1 (b) u (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 69*q + 682. Give z(10).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = 27. Suppose 5*m - 11 = y. Suppose 6*n - m*n = 11200. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140*13\/65*(-2)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r, -21 = 9*c - 8*c - 18*r. Solve -21 = -12*i + c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -18*q**2 + 452*q - 24. Determine t(25).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 2871792*v\/5 - 574358.\nAnswer: -2*(v - 1435895)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 247*x**2 + 7*x + 5. Let c be s(-2). What is the greatest common factor of 89 and c?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2\/7825, 157?\nAnswer: 2\/7825","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*2100\/225?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 8:54 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 798 - 1745. Let t be (143450\/20)\/19*(-1855)\/275. Let y = z + t. Calculate the common denominator of -27\/16 and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88427563?\nAnswer: 7, 151, 269, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 86\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17511, 25815, 34113, 42405, 50691?\n\"Answer: -3*k**2 + 8313*k + 9201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/62060 and 43\/1044.\nAnswer: 558540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -930, -5110, -12392, -22776, -36262, -52850, -72540?\n\"Answer: -1551*r**2 + 473*r + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v + 52 = 0. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.5074 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 765880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 162 - 43 - 42 = -w - 5*g, 3*g = 5*w - 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2 - 2. Suppose -5*w = -1 - 4. Let p = w + 5. Sort b, -2, p in increasing order.\nAnswer: b, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*n - 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -21*j**2 - 2. Let z(g) be the third derivative of -7*g**5\/2 - 7*g**3\/2 + 449*g**2. Give 21*i(o) - 2*z(o).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h**2 - 11*h + 8. Let g(v) = 9*v**2 - 7*v + 5. Suppose -5*r - 5 + 30 = 0. Calculate r*y(b) - 8*g(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4963550\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*m + 2688 + 1624 = 0. Solve 15*u + m = -47 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -3.600111562.\nAnswer: -3.600111562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + 1) - (-11 - -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/5673)\/(19\/65379)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 490 = -67*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14897 - 14008. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037444646 to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/337 + 10487\/3370. Let o = 34 + -75\/2. Let w = o + t. Put 0.3, -2, w in decreasing order.\nAnswer: 0.3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w**2 + 2*w - 8. Suppose -4*f + 4 = 3*u, -18 = -5*u + 2*u + 3*f. What is the units digit of k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -328440 and 44.112556.\nAnswer: -328395.887444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -8371\nAnswer: 2\/8371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30138605 divided by -6027721?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8 - -3)\/((-5)\/170 - 805\/12512).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 20619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-288)\/15660*-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -15*f + 30*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/3 - 8*g**4\/3 - 181*g**3\/3 + 8*g**2\/3 + 60*g = 0. Calculate g.\nAnswer: -10, -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5119 in -10.6, -1, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + h**3 - 48 + (317*h - 668*h + 330*h)*(-2*h**2 + 10*h**2 + 0*h**2) as v*h**3 + x*h**2 + k*h + s and give v.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 o when four letters picked without replacement from ovooovsosovoosooso.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**3 - 33*v**2 - 6*v - 11. Give h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 4 - (-7 + 23) - -20) + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 12*o**2 + 16*o**2. Let k(z) be the second derivative of -z**5\/60 - z**2\/2 - z. Let y(f) be the first derivative of k(f). What is i(y(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2846)\/16 - (-6)\/(-48). Let h = z + 176. Is h greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20667 in -1\/4, 3\/2, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.57 + -0.57. Let f = v + -13.1. Let w = 17.8999833 - f. What is w rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*5\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 4*t**2 - t - 3. Let p be f(-3). Let d = -10 - p. Is (-980)\/(-6) - d\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 32)*8\/20. Solve k = -3*s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 2*i**2 + 2*i + 7. Let j be o(-6). Is 9 a factor of j\/20 - (-1)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxiitixxtxii. Give prob of picking 1 x and 2 i.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47044, 47039, 47030, 47017?\nAnswer: 47000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23230 - 0?\nAnswer: 23230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -242, -440, -728, -1118, -1622?\nAnswer: -2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 5*c - 15*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 167, 97, 27, -43, -113?\n\"Answer: -70*u + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270.73 - -271.15. Is 1\/26 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {r: 1, f: 4, m: 2, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**5 + q**2 + q. Let j(n) = 6*n**5 + 10*n**4 - 60*n**3 - 41*n**2 + 159*n. Let p(g) = -j(g) - v(g). Let p(k) = 0. What is k?\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -868.\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72769 + 14591 = 26*p. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 387.9 + -388. Which is the third smallest value? (a) 5 (b) 11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581548960 divided by 72693620?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b**2 - 73*b**2 + 127 + 21*b**2 + 21*b**2 - 127.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10855, 21719, 32583, 43447, 54311?\n\"Answer: 10864*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c**2 - 8*c - 8. Let s(g) = 12*g**2 - 5*g - 5. Let i(p) = 8*s(p) - 5*w(p). Let a(t) = 2*t + 0*t + 0*t. Calculate i(a(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*x = -4*t + 4307, 3*t - 4267 = 5*x. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-30))\/((-7)\/(-36)) - 3. Sort -5, a, -1.4, -0.5.\nAnswer: -5, -1.4, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10045\/27 - 372. Let y = -4.11 + 0.11. Put t, -0.5, y in ascending order.\nAnswer: y, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -2\/7, -3, -3\/2, 0.4, -0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34753 or 1?\nAnswer: -34753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.627 + -2.627. Let m = 5.65 + -4. Let r = m + j. What is r rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = q, 3*q + 5*u = 12 - 0. Suppose -5*f - 4*k = -6, 0 = 5*k + q + 1. Let s = -9 - -12. Put s, f, -3 in increasing order.\nAnswer: -3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*g + 84, g - 4 = 3*g. What is the second smallest value in 3\/5, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*u - 882278, c = -4*u - 317451 - 123703. Let f = c - -8841142. Round f to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + p + 4 = 0, g + 0*g - 4 = 4*p. Suppose 14 = g*o + 2*b, 1 = 5*o + 5*b - 24. Solve 5*t = -15, j - 3 = t - o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10002 + 16735. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 35. Let q(l) = 7 + 4*l - 407*l**2 - 12*l + 406*l**2. Does 14 divide q(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -129*i - 2. Let w be y(-1). Suppose w*f - 126*f = -2. Which is the nearest to f? (a) -1\/2 (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 983639.3 millennia in centuries?\nAnswer: 9836393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 5 (c) 0.018 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1547, -24, 3\/2, -0.2, 1, 0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/36 and (-4 + 42\/9)\/(1060\/145)?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 11:11 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4692\/(-207))\/(1\/(-3)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w. Let q(u) = 819701*u. Determine b(q(a)).\nAnswer: -4918206*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 - 222 = -14*m - 121 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1944 and 125\/48.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 1160.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.143 rounded to one dp?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:30 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*f + 4*f - 5*f - 2*f - 4 - 2*f**2 to g*f + z*f**2 + a and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*m = -404, 4*t + 404 = 6*t + 2*m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnk when three letters picked without replacement from ttgngkgtntgtn.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 3, n: 5, h: 5}. What is prob of sequence yh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.4, 1\/15, 7\/3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11*((-34)\/3)\/(28\/42). Let x = -148 - o. Put x, 2, 3 in decreasing order.\nAnswer: x, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 3*d - 4. Let u be r(-7). Suppose u*y = 3*y + 735. What is the remainder when 169 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**7\/105 - 151*h**6\/30 - 5*h**4\/24 + 6343*h**3\/3 - 12176*h**2. What is the first derivative of o(r) wrt r?\nAnswer: -8*r**3 - 1812*r**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21200012102101 - -12?\nAnswer: 21200012102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 352*m + 11 + 17.\nAnswer: 352*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2 + 0*r**2 - 3*r**2. Let i = 207 - 179. Let x(n) = 16 - 4*n + 12 - i. Determine d(x(a)).\nAnswer: -112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**3 - 7*c**2 + c - 2. Let p be l(2). Solve -h + 4*h = p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 1270*k**2 + 2532*k = 0. Calculate k.\nAnswer: 0, 2, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3064000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20675136278 take away -5?\nAnswer: -20675136273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 - 787*l**2\/5 + 39669*l - 2198385.\nAnswer: -(l - 105)**2*(l + 997)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -898046.7 times 3\nAnswer: -2694140.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -134, -247 in ascending order.\nAnswer: -247, -134, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 1, -5, 159 in ascending order.\nAnswer: -6, -5, 0, 1, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0928 + -3.9072. Let v be (-7 - -8) + (-2)\/4. Which is the closest to v? (a) 2 (b) k (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0 - 12. Let o = d + -6. Let z(g) = -g**3 - 13*g**2 + 13*g + 10. Let b be z(-14). Calculate the greatest common divisor of o and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -65, -278, -709, -1430, -2513, -4030?\n\"Answer: -12*g**3 - g**2 + 20*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g, 3*r + g + 135 = 11. Let h = -53 - -54. Calculate the common denominator of -9*5\/55 + h and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i - 7. Let c(q) = -4*q - 3. Give 5*c(r) - 2*j(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 - -107. Suppose 5*h + 45 = 4*x + x, 18 = 2*x + n*h. Solve g - 4*g - x = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*c**2 + c - 2 + 2 - 31*c**2.\nAnswer: 89*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*-13455650.\nAnswer: -524770350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 - o - 16. List the prime factors of p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -11*r**6\/60 - 7*r**5\/20 + 24*r**2. What is the third derivative of j(s) wrt s?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528976082?\nAnswer: 2, 3, 47, 1109, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*w*x**3 - 21*w*x**2 + 10*w*x + 6*x**3 wrt x?\nAnswer: 150*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:23 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45908 and 1212071?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8311*t**2 + 4823*t**2 + 4095*t**2.\nAnswer: 607*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*y - 32, -y - 2 = -4*k + 10. Let l = 0 + -1. Sort -2, k, l in descending order.\nAnswer: k, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 60*v + 726. What is the least common multiple of u(-48) and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 64, 5, -2, 17, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158.64 + -157. Let i = a + -1.64. Let h = -17\/21 + 9\/14. What is the nearest to i in 5, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 17.9. Let u = h + -1. Sort u, 1, -1.\nAnswer: -1, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/5 in -2, 4, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4989 + -9141. What is the remainder when (-2)\/10 + a\/(-60) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2296394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*j - 43*j - 10. Suppose 5*w - j*h = 365, -3*w + 234 = 2*h - 0*h. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4) + (-641630)\/(-20). Suppose -47*v + a + 3734 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 4\/3 (d) 0.1 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m**2 + 5*m - 5. Suppose 26 = -6*k - 10. Let v(r) = 13*r**2 + 6*r - 6. Determine k*f(o) + 5*v(o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 12. Sort -2, 5, u.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.81238kg to grams.\nAnswer: 31812.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2682 + -2632. Calculate the highest common divisor of m and 800.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 + -186891677976?\nAnswer: -186891677978.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-6)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1257043704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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: b\"What is the lth term of 84132, 84121, 84098, 84057, 83992, 83897?\n\"Answer: -l**3 - 4*l + 84137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 9*f - 25. Let w be t(11). What is the nearest to 2 in w, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1436 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35879 is divided by 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t + 5. Give n(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102)*-1 + sqrt(102)))\/(sqrt(960)\/sqrt(10)) + (-4 + 0 + (sqrt(425) - sqrt(425)*-1 - sqrt(425)))*3.\nAnswer: -12 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i. Let x(r) = -4*r**2 - 3. Determine x(n(j)).\nAnswer: -196*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-256)\/42 - ((-480)\/504 + (-12)\/(-14)). What is the nearest to 5\/4 in -1\/4, b, -1, -6\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/8 (b) 17\/5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8912427 and 1749.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 75 = m. Suppose 4*d + m = 5*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151500 rounded to the nearest one thousand?\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-15)*o)\/o**(-3\/5))\/(o**(-1\/2)*o**16) assuming o is positive.\nAnswer: o**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 - 13*h**2 + 12*h**2 - h**3 - 216 in the form x*h**3 + r*h + i*h**2 + o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h)\/h)\/((h\/(h*h**(-14)))\/h*h)*((h**(-5\/2)*h)\/h)**19 assuming h is positive.\nAnswer: h**(-129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7351.\nAnswer: 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91608114413\/40893671 + -3\/3145667. Let t = n - 2242. Do t and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19090386 a multiple of 889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by -4372.\nAnswer: 65\/4372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*q**4*u + q**3*u - 7*q**3 + 187*q**2*u - u wrt q.\nAnswer: 168*q*u + 6*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -783, -92, 599?\n\"Answer: 691*c - 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z - 1 + 0*z**2 - 6 + 3*z**2. Let t be l(-5). What is the highest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280878*u**2*x - 14729*u*x + 2*x + 1 wrt u?\nAnswer: 561756*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 z, and 1 m when four letters picked without replacement from {z: 5, m: 8, w: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*q - 0*q - 40, 4*q = 4*m + 100. Let h be -3*(0 - m\/6). Are -10 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.7 - 53. Which is the closest to m? (a) -2 (b) -5 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 76 = -5*g, -18*g - f + 41 = -22*g. Let t(b) be the second derivative of -b**5\/20 - 13*b**4\/12 - b**3\/3 - 19*b**2\/2 - 3*b. Give t(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18713 - -224407\/12. What is the common denominator of a and -123\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/7 (b) 1\/39 (c) 1\/10 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1728) - sqrt(1728)) + sqrt(48))**2*-3 + 5 + (sqrt(576)*-1)\/sqrt(12) + sqrt(48).\nAnswer: -7051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9985 - 3992 = -1319*s + 7127 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 3. Let s be q(4). Let o = s + 21. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 4*k - 30 - 7*k.\nAnswer: -17*k - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/180 and -29\/9720.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 12953829.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23648403 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) - (200\/(-308))\/2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 4*t - 4*t)*(-17 - 28 - 26)*(-13 + 3 - 5) to n*t + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122120 (base 3) to base 2.\nAnswer: -10010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -130 in -4, 3, 0.2, 0.13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -y - 70, 0*d + 64 = -3*d + 5*y. Let h = d + 25. Solve u - 3*w + 1 = -0*u, -h*w + 19 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210766431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714185037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*5 + sqrt(153)\/sqrt(9) + -5 + sqrt(17))**2 - (sqrt(153) + -1*-1*sqrt(153))\/(sqrt(27)\/sqrt(3)*2).\nAnswer: -71*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51690, -103049, -154408, -205767?\n\"Answer: -51359*k - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1076*r - 2670. Let g be h(6). Round g to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76586?\nAnswer: 2, 149, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5364, -10758, -16170, -21600, -27048, -32514, -37998?\n\"Answer: -9*w**2 - 5367*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/10 + 4\/5. Let x = -7.2 + 7.4. What is the closest to x in -3\/2, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -2257*v**5\/20 + 919*v**4\/6 - 2*v - 93. Find the third derivative of i(g) wrt g.\nAnswer: -13542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/17622 and 91\/17622?\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.856, -0.143, 1\/6, -5 in decreasing order.\nAnswer: 0.856, 1\/6, -0.143, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Let u = -15 + 15. Let g(o) = 0 + u*o + o + f + 0*o. Determine g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 1:21 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44223 = -2096*w - 16975 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide (-30192)\/(-60) - (3 - ((-252)\/15)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28538?\nAnswer: 2, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 608832317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 289474095.7 + -0.10986.\nAnswer: 289474095.59014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/10)\/(6\/40). Suppose -4*b - 4*s + u = 0, 2*b + 7*s - 36 = 3*s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37702\/13 + 2900. Which is the nearest to -0.1? (a) 12 (b) 3\/7 (c) z (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184977 divided by 20553?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - u**2 + 3*u - 9. Let q(m) = m**3 - 2*m + 8. Let o(k) = -5*q(k) - 4*r(k). Let i be ((-15)\/(-40)*4)\/(4\/8). What is o(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*q - 102, -2*z = -2*q + 15 - 195. What is the remainder when z is divided by -4*18\/(-4)*1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-9)\/(-6))\/(-3)). Suppose 0 + 4 = b*l. What is the first derivative of -2 - 2*r**2 + 0*r**l + 4*r**2 wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -4 - 0) + -7 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171077306?\nAnswer: 2, 43, 61, 32611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20071 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 - 3. Let u = 6.3 + f. Suppose c - 2*r = 2*c + 10, 3*r + 9 = 0. What is the second smallest value in u, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6158947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oarroaooorooroor. Give prob of picking 3 o and 1 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 365019235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 = c - 10, -4*c = -4*b - 8. Let l be (b\/2)\/(12\/16). Let a be ((-84)\/49)\/(1\/l + 2). Is -2 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/7, 1, 4?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 89 (b) 0.012 (c) 14 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/32 - (-2)\/2. Let a = -4.0845 + 4.0845. Sort g, -3, a, 4 in increasing order.\nAnswer: -3, a, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -364*p**2. Let t(w) = -96*w**2. What is t(z(s))?\nAnswer: -12719616*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*x**4 + 61*f*x**3 - 146*f*x**2 - 859*f + 71*x**4 - x**2 wrt x.\nAnswer: 48*f*x + 366*f + 1704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*v - 283*v + 456 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 19*z - 11. Let s(c) = -15*c + 12. Let l(i) = 5*s(i) + 4*u(i). Calculate l(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-125)*(-10)\/28\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 410530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1664 - 403013.0676.\nAnswer: -404677.0676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let p(m) = m**2 - 3*m. Let o(g) = 10*g**2 - 4*g. Let z(c) = o(c) - p(c). What is z(l(q))?\nAnswer: 9*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9251788 or -9251869?\nAnswer: -9251869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -18226.415 to the nearest 10.\nAnswer: -18230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(3*2\/1839). Let h = f + 1806. Round h to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 + 1\/60*z**4 + 0*z - 23*z**2 - 1\/150*z**5 + 2\/15*z**3. Let b(a) = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 6*k + 9. Let c = 8 - 26. Let m be (32\/24)\/(4\/c). Let v(a) = 3*a**2 + 5*a - 8. Let q(g) = m*v(g) - 5*s(g). Suppose q(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m - 95 = 0. Let h = -17 + m. Suppose 3*l + 4*s - 85 = 5*s, -s + h = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**2. Let l(a) = a**2 + 24*a - 14. Let o(z) = 5*z**2 + 68*z - 40. Let c(y) = -17*l(y) + 6*o(y). What is x(c(s))?\nAnswer: 1521*s**4 - 468*s**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -9*l + 13*l. Let i(t) be the third derivative of t**4\/24 + t**3\/6 - t**2. What are the prime factors of i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2. Let d(k) = 72 + 9*k - 72. Calculate d(f(u)).\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - p + 1. Is d(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3055, 12192, 27411, 48700, 76047?\n\"Answer: -2*h**3 + 3053*h**2 - 8*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/3 + 252148*s - 1512896\/3 = 0.\nAnswer: -378224, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/17, -1\/8, 0.52, -260 in increasing order.\nAnswer: -260, -5, -1\/8, 2\/17, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -177*v**4 + 5?\nAnswer: -708*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.5 + -604.5. Let v = 674.999999623 + q. What is v rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 122, 144, 186, 254, 354, 492?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v**2 - v - 3. Determine x(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.029 and 60.\nAnswer: 60.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 286319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 104, 5, 1, 0, -15 in increasing order.\nAnswer: -15, -6, 0, 1, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 13*o**2. Let q(a) = 9*a**3 + 53*a**2 - 979. Let r(l) = -q(l) - 2*t(l). What is the first derivative of r(p) wrt p?\nAnswer: -21*p**2 - 158*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -0.00346821897821.\nAnswer: -0.39653178102179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 7919 + 122810. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 19) + (28 - (8 - -15)) + -2 + -10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6400182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h**2 - 9*h. Let i(x) = x**2 + x. Let p(b) = -2*g(b) - 18*i(b). Let v(z) = z**2 - 1. What is p(a) - v(a)?\nAnswer: 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-12)*9\/(-2). Suppose o*w = 4*w. Is -2 + 40 - (1 - w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*n + 3 + 2*n**2 - 36*n - 32*n.\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -z - 2*a + 44, -4*z - 2*a = -152. Let c = z - 20. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -54*g**3 - g**2 + 3*g + 2. Calculate the remainder when 779 is divided by o(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 3*r**2 + 12*r + 5. Let c be h(13). Round c to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k + 2*w + 7 = 0, -k + 5*w + 13 = 0. Suppose -k*t + 7 = 2*r, -5*r + 0 - 30 = -2*t. Solve -t*j = 3*d, j + 2*d - 7 = -0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 13*p**2 + 36*p + 469. Let c be g(-13). Let s(i) = 60*i**2 + 3*i - 2. Calculate s(c).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 5 - -2) + (12 - 56 - 3 - 14)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + c)*((c - c - 2*c**2)*(0 - 1 + 4) + 71*c**2 - 127*c + 127*c).\nAnswer: 130*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**4)**(1\/33)\/((i\/i**(2\/7))\/i**1))**(5\/2))**(-2\/5) assuming i is positive.\nAnswer: i**(-94\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 2*r + 59. Let w(u) = 6*u**2 - 5*u - 165. Give -11*a(b) - 4*w(b).\nAnswer: -2*b**2 - 2*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = -2*c, 0*n - 13 = -4*n - c. Let x = n - 1. Suppose 0 = -2*w + x + 71. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*g**5 - 761960*g**4 - 90479724*g**3 - 313297336*g**2 + 306742576*g + 1375736544 = 0 for g.\nAnswer: -7499, -117, -14\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 3*m. Let r = 115 + -118. Let f(g) = -2*g**3 - 8*g. Calculate r*f(l) + 8*y(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = -16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173667764 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -188863.\nAnswer: -5\/188863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, 9, 5, 2\/3 in decreasing order.\nAnswer: 9, 5, 2\/3, 0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5*t)*(2*t**2 - 5*t**2 + t**2).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-24))\/(1\/2). Let m = -1 + 2. Let n = m + -1. Which is the closest to s? (a) -4 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4047 divided by -7494\nAnswer: 1349\/2498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*m + 4*v, m - 107 = -4*v - 118. Solve 5*z + 13 + 7 = -m*d, 2*d = 4*z + 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858524.\nAnswer: 2, 557, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by (-814)\/296 + 2\/(-8) - -41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2060)\/3750*15 + 8?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 25 + 31. Calculate the remainder when 1 - -50*-3*-4*2\/24 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10106?\nAnswer: 2, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -240895167*u**2 + 200033445.\nAnswer: -481790334*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280.7 + -280.6999361. Round g to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 63\/(-9))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 6. What is the remainder when 35 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 + 3*q + 2. Let r be m(-3). Let k be (r\/3)\/(2\/3). Let y be ((-3)\/4)\/(4\/(-112)). Solve -y = 5*a - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = 0, 0 = -g + 3*g + 3*w - 7. Suppose -180 = -0*q - 3*q. Suppose g*u - 5*s - q = 0, u + 5*s = 4*s + 2. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-9)*x)*x)\/(x**(7\/4)\/x))\/(x**0*(x\/(x**(1\/9)\/x))\/x) assuming x is positive.\nAnswer: x**(301\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.035, 0, 2\/11, -3\/7, 2 in descending order.\nAnswer: 2, 2\/11, 0, -0.035, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:40 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 4. Let g(x) = 2847*x - 22. Give g(y) + 6*v(y).\nAnswer: 2841*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let t(v) = 9*v - 8*v - 12*v - v. Give 32*b(y) + 3*t(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1363*i**3 - 12662310*i + 12662310*i in the form p + n*i**3 + f*i**2 + v*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42930\/2970 - ((-2394)\/154 - -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (-2*sqrt(228) + sqrt(228)))*-4 + (sqrt(228) - (sqrt(228) + sqrt(228)*2))*3 + sqrt(228))\/(sqrt(24)\/sqrt(2)*1 + sqrt(60)\/(2*sqrt(5)))*3*4.\nAnswer: -104*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404433.\nAnswer: 331, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10015 + -10018.5. What is the fourth biggest value in q, -2\/13, 0.3, 0.5, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 6321?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 5. Let v be n(4). Does 9 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyxyyyxyxyyyyyyy. Give prob of picking 2 x and 2 y.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 + 24*h - 6. Calculate z(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 64*s**2 + 373*s - 14. Let u be z(-6). Solve -5*b = 273*h - u*h, -12 = 2*b + 5*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 - (-5 - 2292\/(-108)). What is the third biggest value in y, 0, 8\/11, -8\/5, -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -492, -2194, -5020, -8964, -14020, -20182, -27444?\nAnswer: -35800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 218, 930, 2134, 3836, 6042, 8758?\n\"Answer: x**3 + 240*x**2 - 15*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 978093 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4 + 200\/52.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -154*p**2 - 3. Let l(r) = -10*r - 2. Calculate g(l(i)).\nAnswer: -15400*i**2 - 6160*i - 619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1135046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -43\/3. What is the nearest to o in -1\/2, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 29*s - 18. Let w(n) = -n**2 - 12. Determine v(w(q)).\nAnswer: -29*q**2 - 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 23 = 4*h, 0*h - 2*q = 3*h + 23. Let p(t) = -t**2 - 9*t - 4. Calculate the lowest common multiple of 10 and p(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 579 - 491 = 0. Solve l*v = 33*v - 15*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.761 + -0.72. Let q = 266.551 + -267. Let v = q - n. Round v to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/108)\/(13\/8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/175*5 + (-54573)\/(-21). Let a = g - 1558. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 + 14 = 70*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 9, -4, -55, 8, -5 in ascending order.\nAnswer: -55, -5, -4, 1, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12931593 to the nearest integer?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.28958 nanograms to tonnes.\nAnswer: 0.00000000000003728958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 198\/7 in 4\/7, 2\/9, -2, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/9)*w\/(w*w*w\/((w\/w**(-1\/6))\/w))*(w*w\/w**(-2\/3))\/(w**(-1)\/w) assuming w is positive.\nAnswer: w**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13211535.4 + 13211404.000647. Let j = -131.4 - v. What is j rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*d = 60, 3*d - 25 = -4*h - 0*d. Calculate the remainder when 25 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + sqrt(126)*1)*-3)\/(sqrt(72)\/sqrt(4)))\/(2*((-1*sqrt(9) + sqrt(9))*1 + sqrt(144)*-5)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 4*z + 2. Let f be m(4). Differentiate -13*p**f - 6*p**2 + 1 + 10 with respect to p.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b + 4. Let a(d) = 4*d**2 + 14*d + 12. Calculate -3*a(w) + 8*u(w).\nAnswer: -4*w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = 0, 151 = y + 6*z - 7*z. Calculate the greatest common factor of y and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764 is divided by 205?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80227*u**2 - 22130*u**2 - 59772*u**2.\nAnswer: -162129*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3376, 26652, 89756, 212602, 415104, 717176, 1138732, 1699686?\nAnswer: 2419952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Let q be h(-2). Suppose -q = -2*d + 3. Solve m + d*m + 11 = s, 5*m = 2*s - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73736\/7 - 63781297\/6055. Find the common denominator of -27\/50 and c.\nAnswer: 8650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7446, 9900, 12356, 14814, 17274, 19736?\n\"Answer: k**2 + 2451*k + 4994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49b40 (base 13) in base 11?\nAnswer: 93141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2107\/(-147))\/(-43))\/((-2)\/15)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1566 and 16.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 112*n**2 - 221*n - 128. What is c(-110)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -104*k**2. Let h(s) = 9*s**2. Determine l(h(d)).\nAnswer: -8424*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 16 - k**2 + 8 - 1 to the form n*k**2 + w*k + d and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 - 9934630*r - 9934635 = 0. Calculate r.\nAnswer: -1, 1986927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -1911.3312.\nAnswer: -1920.3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1571 + 2312. Is z a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*h + 12528*h**2 - 1712868 - 15*h + 1712884 wrt h?\nAnswer: 25056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 17 = 3*q, b + 5*q = -0*b + 19. Let s be (-1 + 0)\/(56\/(-24)). Is b at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/78 - 848\/(-318)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 173, 720, 1641, 2942, 4629, 6708?\n\"Answer: j**3 + 181*j**2 - 3*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/3 - s**2\/2 + 2. Let p be k(1). What is the tens digit of 3\/(p + (-2)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17490 is divided by 126.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**4\/6 - r**2 - 4*r. Is f(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 4*h - 122. What is n(-15)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 93 = -v - 327, -3*k = 5*v - 338. What are the prime factors of k?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3.9\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 1:30 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 7*r**2 - 5*r + 2. Let g be m(-6). Which is greater: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2363*b**2 - 335*b.\nAnswer: -4726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c + 24. Let i(h) = h**2 + 7*h + 24. Let f(q) = -4*i(q) + 5*j(q). What is the units digit of f(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b**2 - 4. Determine r(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(539))**2.\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(-3\/5)\/g)*g)\/(g\/(g\/(g*(g\/(g*g**(-7\/5)))\/g*g*g))))\/((g*g*g**(1\/3))\/(((g*((g*g**7)\/g*g)\/g)\/g)\/g)))**11)**(-5) assuming g is positive.\nAnswer: g**(-638\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t - 3572 = -3322. Solve -x = 3*j - 11, -j - t*x - x - 2 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(99)*6 - (sqrt(99) - sqrt(99)*3*-5 - sqrt(99)))\/((sqrt(108) - (sqrt(108) - 2*-2*sqrt(108)))\/(sqrt(132)\/sqrt(176))).\nAnswer: -3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86e92 (base 16) to base 14.\nAnswer: 105550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45c11 (base 13) to base 3\nAnswer: -20110120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p + 6. Let g be k(4). Let c be g\/63 + (-40)\/(-18). Suppose -3 = -c*w - 5. Which is bigger: -2\/35 or w?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 52 + 14 + 1 + -29?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7701515 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 + 187.3. Is -0.2 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.290105 nanoseconds in milliseconds?\nAnswer: 0.000005290105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 8. Let j be o(-6). Suppose 0 = -3*c - z - j*z + 276, 3*z = -4*c + 365. Calculate the remainder when c is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7128761.\nAnswer: 7128761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -25*u**2 - 10*u - 7. Let w(h) = -8*h**2 - 3*h - 2. Give -2*m(c) + 7*w(c).\nAnswer: -6*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o**2 - 1100*o - 6975. Determine h(-6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 29*b + 27. Let c(q) = -2*q**2 - 35*q - 1. Let z be c(-17). Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 678\/132 - 8\/1 and 65\/976.\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 0, -40?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 3 = -4*r, 5*y + 4*r - 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 1680?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u**2 + 2*u**2 + 2*u**2)*(0*u - 3*u + 0*u).\nAnswer: -3*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -222022121100?\nAnswer: 222022121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 259431.\nAnswer: 259435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x**4 - 1416 + 1412 + 3*x**4 + (7*x**2 + x**2 + x**2)*(x**2 - x**2 - x**2) to y + o*x**4 + t*x**3 + u*x + z*x**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461929, -923550, -1385171, -1846792, -2308413, -2770034?\nAnswer: -3231655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*j + 399 = 87*j - 153*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*x + 228*x = -225*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 3, j: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(70) + 3*sqrt(70)*-1)*3)\/(sqrt(90)\/(sqrt(9) + -1*sqrt(9)*-1)*-3))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(-991)\/4*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(18)*-3 + -1*(-1*sqrt(162) + 2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246627 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f + 5*t, 8 = 5*f - 2*t + 56. Let h be (-1)\/f + 12\/30. Let d = -20 - -15. Which is the third smallest value? (a) 1\/12 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g, g + 5 = r + 2. Let j(u) = -1 + r + 3*u**2 + u**3 + 0 + 3*u. Let b be j(-3). What is b rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0960381 to three decimal places.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 - 2*s**3*y**2 + 240*s**3*y + 2*s**2*y**2 + 76866*s**2 wrt s?\nAnswer: 120*s**2 - 12*y**2 + 1440*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 40 - 14*i + 26 - 2*i to o + u*i and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 11. Let z(v) = -2*v**3 + 116*v**2 - 118*v + 195. Let n be z(57). Let i(j) = -2 + j + 1 + 3. Determine n*i(m) - 6*h(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - r + 1 = 2, -4*r - 4 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-199 - 35)*1\/(-2)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9*(-22)\/(-1188))\/((-60)\/16))\/((-27)\/45)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 + 141 + 16*p**2 + 50 - 97 + p**2 to q*p + b + m*p**2 and give b.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 18 = u, 1027*u = 1028*u - 3. Solve 3*k - w*b - 34 + 14 = 0, 0 = 3*b + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140713 is divided by 3745?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -109, -209, -331, -469, -617?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 76 = t, w + 3*w + 48 = 4*t. Let z be (-40)\/w*(1\/1 - -1). Suppose z*i = 10 - 25, 5*x + i = 442. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 611 = -8*p. Is p a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 13. Let y(w) = -w + 12. Let a(x) = -6*i(x) + 7*y(x). Suppose 501*j - 9 = 526*j - 209. What is a(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*r - 36, 6*r + 170 = 5*l + r. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/15)*c)*c)**(3\/19) assuming c is positive.\nAnswer: c**(13\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -53 - (-1 - -1 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 11*y - 4. Let t be i(10). Suppose -t*u = -u. Suppose 242 = 4*x + 3*z, 3*z - 6 = -u*z. What are the prime factors of x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.60367 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 3*j + 4. Let w(t) = t**2 - 1. Determine l(z) + 4*w(z).\nAnswer: z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31022 - 20222?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-51)\/(-20))*1150\/690.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2710*p - 130080. Give r(-48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -11247465?\nAnswer: 2\/11247465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0 - 1\/36*z**4 + 0*z**2 + 0*z**3 - 1\/20*z**5 - 10*z - 1\/45*z**6. Factor f(q).\nAnswer: -q**2*(q + 1)*(2*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18139)\/(-4268)*(-8)\/(-17)*(-1)\/(-178).\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*c*v - 30*b**2*u*v - 19590*b**2*v + 32*b*c*u*v - 9*b*u*v - b*u - b*v - 9*c*u*v - 3*u*v - 18 wrt b?\nAnswer: -4*c*v - 60*u*v - 39180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -483 + 938. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(-4)\/((-16)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 4. Let b be w(0). Let l = 2 + b. Let j = l - 2. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0)**(-7\/8)*(z**(1\/4))**(-38))**23 assuming z is positive.\nAnswer: z**(-1909\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4353771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -3937 in descending order.\nAnswer: 6, 5, -3937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 66 - 27*a**2 - 6 + 23*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 89, 194, 341, 530, 761?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10853970.\nAnswer: 2, 3, 5, 361799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33.72 - 33.4006. Let w = -0.32 + b. Round w to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65\/(-39) + 1324\/6. Let o be p\/(-146)*8\/(-6). Let j be 16\/(-7) + (-2)\/(-7). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 + -0.12. Which is the nearest to 0.1? (a) -0.2 (b) q (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 4890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/7)\/(1 - -2). Solve -9 = 4*b + 5*w, -3*b - 5 = 3*w + o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18 = 4*d, 4*d + 5*v = 12 - 1. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2064976*b**4*g**3 + 4*b**4 + b**2*g**3 + 6*b**2*g**2 - 177*b*g**3 + 4*b - 3*g**3 wrt b.\nAnswer: -49559424*b*g**3 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6463720.\nAnswer: 2, 5, 283, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 18*n**2 - n + 53*n**2 - 36*n**2 as o*n**2 + s + b*n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2595.5 - 0.\nAnswer: -2595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4322, -0.13, 15?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 13 = 3*z. Suppose 0 = 26*h - z*h + 15. Solve -4*l - 3*r = -1, -2*l + r = h*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 28. Let d = 228 - 452. Let j = d + 4706\/21. Is o greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8*y - 63 = 0. Let n = -9 + 17. Calculate the remainder when y is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363 + 3*d + 3*d + 363.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110021 a multiple of 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - t**2 + 3*t - 2*t**2 + 3. Let h be ((-1)\/(-3))\/((-4)\/36). Let s be 1\/((-2)\/h + -1). Determine b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let w(h) be the third derivative of -236*h**5\/15 + 5143*h**2. Determine w(r(p)).\nAnswer: -944*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:01 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 5*(sqrt(76) + -1) + 4)*2)**2 + -3.\nAnswer: 7597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*z - 4*i, z = 6*z - i - 36. Solve -5 = z*u - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 361*q. Let z(w) = -w. Determine z(m(s)).\nAnswer: -361*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - -235?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37786*s**5 - 447467*s**2?\nAnswer: -2267160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, 224.4, -3\/5, 0 in ascending order.\nAnswer: -3\/5, 0, 1, 28, 224.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 57308*y - 286440.\nAnswer: -4*(y + 5)*(y + 14322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*(-435)\/(-484242)*-23.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**3 - 2*j**3 - 5*j**3)*(j - 4*j + 4*j) + 49 - 129*j**4 + 38*j**4 - 48 in the form b*j**3 + v*j**4 + c + t*j + d*j**2 and give v.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/598)\/(4386\/9503)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 3*q + 1. Let n be a(0). Let z = -7 - -13. Calculate the highest common factor of z and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8954*w - 5592. Let l(k) = k - 107. Let m(v) = -b(v) - 3*l(v). Find the first derivative of m(a) wrt a.\nAnswer: -8957","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 20*s - 4. Let p(c) = -c. Let v be p(-3). Let w(h) = -4*h + 0*h + h**2 - v*h + 4 - 3. Let d(a) = 3*l(a) + 8*w(a). Let d(r) = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23731, 47512, 71313, 95140, 118999, 142896, 166837, 190828?\nAnswer: 214875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751*y - 2254*y + 33*y**3 + 748*y + 755*y + 2.\nAnswer: 33*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42011*h + 8*h**2 + 79*h**2 + 25*h**2 + 42011*h.\nAnswer: 112*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 23 = -7. Suppose 0 = -q*a + 23*a + 1225. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38247, 76303, 114273, 152157?\n\"Answer: -43*g**2 + 38185*g + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1590, 3230, 4862, 6480, 8078?\n\"Answer: -z**3 + 2*z**2 + 1641*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650.3 rounded to the nearest ten?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 824559843 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -9 + 8 + (-2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -456209 or -456222?\nAnswer: -456209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-191)\/2292)\/(6\/104)*9 - 49\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 + (-54)\/6 - -5. Let b = -14 - -5. Let y = b + a. Solve -5*k + 2*k = y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 16) to base 8\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7324095?\nAnswer: 3, 5, 29, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-23*y + 198 + 3*y - 202) to q + c*y and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, e: 3}. Give prob of picking 3 x and 1 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*z - 27, -2*l + 5*z = -0*l - 25. Suppose -8 - 7 = -l*b. Suppose 38 = b*s - 319. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -9) + -2 + 1 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1537 and -0.21.\nAnswer: -1537.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k + 7*k**3 + 6*k - k - k wrt k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -331 + 241. Let k be (-190)\/f - (-2)\/(-18). Suppose -1\/2*i**k + 0*i + 1\/2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57\/2 in -1, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43630 is divided by 216?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-398)\/4)\/(-2*1\/4). Let t = g + -293. Let z = t + 134. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/230 and -47\/90.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7 and -96.\nAnswer: -93.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l - 80 = 0. Let f be ((-8)\/l)\/(8\/(-10)). What is the nearest to 2\/9 in 1\/3, f, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.51 - -0.51. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7584269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.069 rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15271, -15275, -15279, -15283, -15287?\n\"Answer: -4*p - 15267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20476.\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 18*i - 69. What is c(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -29 - ((-5008)\/(-160) + 3\/15).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8154 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 0)*(-486)\/324. What is the third smallest value in -1\/2, o, -3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -198066630*y**3 + 111100675*y**2 + 2*y - 3 wrt y.\nAnswer: -1188399780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -107, -2 in ascending order.\nAnswer: -107, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/3))\/y**(3\/2))\/(y**(-2\/7)\/y*y*y*y*y\/(y\/((y*(y\/(y*y**(1\/4)))\/y)\/y))))**(-40) assuming y is positive.\nAnswer: y**(250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91254517?\nAnswer: 743, 122819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*m**2 - 2*m**3 + 2*m + 1557*m**2 + 1332*m**2 + 520*m**2 + 631*m**2 in the form g + b*m**3 + w*m**2 + t*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 12*l - 17. Is j(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160*i - 130*i + 166*i)*(0*i - 1 - 5*i + 2*i) in the form j + o*i**2 + t*i and give o.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 102 = 2*t. Suppose 71 - 19 = l. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 - 11*p**4\/3 - 47*p**3\/3 - 97*p**2\/3 - 32*p - 12 = 0. Calculate p.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 504\/42 - (-5 + 14 + -22)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 18*o**2 + 18*o + 60. Let t be x(-19). Let u = t + -70. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 337.0538?\nAnswer: 334.0538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12060\/(-270) + (-36)\/(-54).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 1\/4*z**4 - 4\/3*z**3 - 3 + 8*z - 5*z**2. Is q(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + -3 + sqrt(171) - (-2 + (2*sqrt(171))\/sqrt(9) + -4)**2.\nAnswer: -111 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {q: 8, e: 2, p: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4147645 is divided by 1832.\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 21*l + 81. Let x be d(2). Solve 141*p = 122*p + x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 5, -5, -128, -3 in increasing order.\nAnswer: -128, -11, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2579 by -11651.\nAnswer: -2579\/11651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:21 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150193 by 5.\nAnswer: 150193\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:12 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -4 (c) 0.1 (d) -3 (e) -2\/105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 2. Suppose 0*p = -2*p - 22. Let z be a(p). Let x = 16 + z. Calculate the smallest common multiple of x and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 + 3*u + 3. Let v(k) = 73*k**2 + 17*k + 18. Let t(g) = -6*i(g) + v(g). Let x(z) = 11*z**2. Calculate t(x(a)).\nAnswer: 4477*a**4 - 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 31821 to the nearest 100.\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 47, -83, -323, -709, -1277, -2063, -3103?\nAnswer: -4433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 1, h: 1, p: 1, w: 2, k: 1}. What is prob of sequence hk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 - n + 11. Let r be h(-5). Let k = r - -9. Solve k = 2*m - 2, -4*m + 7 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/126 and 43\/2196.\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2\/67)*k)\/((k*k\/(k**1*k*k)*k)\/k*k))\/(((k\/(k**(-7\/2)*k))\/k)\/(k**0*k)) assuming k is positive.\nAnswer: k**(197\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43161024 to the power of 1\/2, to the nearest integer?\nAnswer: 6570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83759 is divided by 358.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkju when four letters picked without replacement from kjjjkkjkkuukkujuk?\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0708 and -0.5.\nAnswer: -0.0354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-4) + (-2)\/4. Suppose c*z - 441 = 4*z. Is z\/(3 + -2) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 0*g + 6*g + 0*g - 2*g + 0*g + 3*g + 0*g - g + g - 2*g + 2*g + 0 + g + 0 - 2*g - 2*g + 3*g + (2*g + 3*g - 3*g)*(2 - 3 + 2) - g - 5 + 5.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.06048, -6, -3\/5, -0.025?\nAnswer: -0.06048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 16 + 10*v - 17*v in the form w + x*v and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -89. Suppose 20*l - 33 = t*l. Which is bigger: -0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let a = 19568 - 19578. Sort -5, q, a in ascending order.\nAnswer: a, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963, 935, 907, 879, 851, 823?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15004 and 4785.\nAnswer: 6526740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 65*m + 42. Determine s(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/720)\/(10\/(-6)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 22*r + 32. What is the hundreds digit of ((-2)\/r)\/(5\/(-20)) - -399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 1\/15*p**6 + 4\/15*p**3 + 105 + 0*p + 0*p**2 - 1\/10*p**4 - 4\/25*p**5. Find f, given that m(f) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 0.038 (c) -17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 180? (a) 4 (b) -2\/41 (c) 0.0659 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.32 + 0.08. Which is the nearest to 1\/4? (a) 1 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 5*t + 72. Suppose 0 = 6*p - 11*p + 270. What is the greatest common divisor of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76)*-5 - sqrt(76)) - sqrt(76)*-4*-5)\/(-1*sqrt(484)*-1*2).\nAnswer: 2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-170)\/(-8)*-3)\/((-234)\/1248). Calculate the highest common factor of w and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905608 is divided by 2648?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224*i**4 + 462 wrt i.\nAnswer: 896*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19836, 19809, 19764, 19707, 19644?\n\"Answer: h**3 - 15*h**2 + 11*h + 19839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -6*k**5\/5 - 3*k**3 + 8. Find the third derivative of l(f) wrt f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112003 (base 4) in base 12?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 15*g + 7 + 12*g - g**2. List the prime factors of j(7).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggccmkccgcccccgcc. Give prob of sequence mg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882786 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*s + 244 = -146*s - 1807 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1318+59.39811\nAnswer: 59.26631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + (sqrt(216) - (sqrt(216) - (sqrt(216) - (sqrt(216)*1 + sqrt(216) + sqrt(216)))))*5)\/(sqrt(441)*-1))\/(5*(sqrt(300)*3 + sqrt(12))*-4).\nAnswer: -9*sqrt(2)\/2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/168 + 5\/(80\/6))\/(-3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8217\/(-1826))\/((-1)\/(-1*2)*(-2)\/(-4))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*j = -0*m - 5, 5*m + j - 11 = 0. What is the biggest value in 1, 2\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13049764 and 215106?\nAnswer: 39149292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6470 * 3\nAnswer: -19410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62939? (a) -3\/4 (b) 1 (c) -189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -170, -5, -2, 0 in ascending order.\nAnswer: -170, -32, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 19360*o\/7 - 5227512\/7.\nAnswer: -2*(o - 9402)*(o - 278)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 + 4\/3*z - 2\/3*z**2 + 0 = 0. Calculate z.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169872 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-30) - (8\/60 + -2). Let p be (-3)\/(-1) - ((0 - 1) + z). Let i(w) = p - 3 + 1 + w. Let n(q) = -8*q**2. Determine n(i(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6260*q - 27. Suppose k - 5*l - 14 = 0, -3*k - 13*l = -9*l - 4. Is h(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 20 = -2*u, 5*u - 4*h - 39 = 6. List the prime factors of 66\/4*u*(-20)\/(-25).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2e9?\nAnswer: 2e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-4)\/102 + -3. Let v = 125.145 - 125. Let k = v - 1.145. Sort k, -0.1, q in decreasing order.\nAnswer: q, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6864, 6862, 6858, 6852, 6844, 6834, 6822?\n\"Answer: -o**2 + o + 6864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -948816028 minus -164172?\nAnswer: -948651856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35529 is divided by 106.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(10)*-1) + sqrt(20))*4*-2 - (sqrt(180) + -5 - 2*sqrt(1280)).\nAnswer: 5 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 178946 divided by -1366?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24, 2\/5, 2, -0.04656, -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -712*d**2. Let i(v) = -2662800*v. What is i(t(f))?\nAnswer: 1895913600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*j + 2)*(-21 - 89 - 2545*j + 132 - 30) in the form l*j**2 + c + q*j and give l.\nAnswer: -5090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Suppose -2*n = -5*x - 21, -5*n = -4*x - g - 40. What is the lowest common multiple of 7 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6, 2*s - 1857 = -c + 699. Calculate the highest common factor of c and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**24*k))\/k)\/k**(-26\/3))\/(((k**(2\/39)*k*k)\/k)\/((k**(9\/8)\/k)\/k)) assuming k is positive.\nAnswer: k**(-1795\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2262369222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -625\/6 or 4?\nAnswer: -625\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - 23 - 23*a**3 - 13*a**2 + 0*a**2 + 57 as i*a**3 + j + s*a + d*a**2 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553811 (base 14) to base 5.\nAnswer: -1220003030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((3240\/(-150))\/(-27))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1822 and 6377.\nAnswer: 12754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m**(-6)*m))*m**(-5)*m\/(m*m*m*m*m**(-2\/9)*m*m*m*m)*m**(-1\/5) assuming m is positive.\nAnswer: m**(-764\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 4096*j**2 + 8180*j + 4088 = 0. What is j?\nAnswer: -1022, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 15. Let x be w(-6). Suppose -2835 = -x*b + 3*l, 3*b + 2*b = 4*l + 4723. Let i = b + -650. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9405\/(-180) + 71)\/(63\/24).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 100030.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(4 + -3*2). Solve -3*p - 11 = -i*k + 3*k, 0 = 4*p + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 times 1?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4310*k**4 + 71262*k wrt k.\nAnswer: 51720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 + a - 8. Let z = -2 + -5. Let h = z + 14. Calculate the least common multiple of o(5) and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149246 > 149246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 3. Let b = z - -5.7. Let i = -222 - -1114\/5. What is the biggest value in b, i, -2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 34\/8)*-4. Solve 0*x + a*x = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14578 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let v = h - -1. List the prime factors of 6*(2 + (-1)\/v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0 + 2*o**2 + 0. Let p(m) be the first derivative of -m**5\/24 - 7*m**3\/3 - 5. Let r(f) be the third derivative of p(f). Determine s(r(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, v: 2, q: 1, u: 1, i: 2}. What is prob of sequence ni?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014999 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96.3 + 107. Let n = t + -8.7. Sort -2\/23, 0.3, -1, n in decreasing order.\nAnswer: n, 0.3, -2\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-7) - 1014\/(-91). Suppose 16 = -3*q + d*q. Solve 4*u = h - 8, -q*u + h = 6*h + 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1099\/154 + -7)\/((-2)\/8)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h = -21*h + 5*w + 2, 0 = -2*w. Let a(y) be the third derivative of 0 + 1\/6*y**3 + 1\/30*y**6 + 1\/24*y**4 + y**2 + 1\/60*y**5 + 0*y. Give a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2, -0.0206?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -195*h**2 + 67*h - 186. Let w be l(3). Is w at least as big as -1741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 7*j**2 + 213*j + 849. Determine x(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:40 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/8 - 9*t**2. Let x(p) = -4*p. Let r(a) = f(a) + 3*x(a). Let o(c) = -4*c. What is o(r(v))?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88532700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 - 9*j - 5. Let k = -10 + 15. Suppose 2*d = -k*c - 29, -1 = -5*c + 2*d - 42. Is t(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + 82. Which is the second biggest value? (a) -6\/13 (b) 2\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 4*h - 4*h)*(1 - 2*h**2 - 1) + 73*h**5 - 41*h**5 - h**2 - 6 + 7*h**4 - 33*h**5.\nAnswer: h**5 + 7*h**4 - h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24946 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/(y**(4\/5)\/y*y)*y**(-2\/11)\/y*y*y*y\/(y\/(y*y*y**1*y)))\/((y**1)**(3\/22))**41 assuming y is positive.\nAnswer: y**(377\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*c + 92*c**3 - 197*c - 155*c**3 - 160*c**3 + 99*c.\nAnswer: -223*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.37 + -1.43. Let v = x - -2.8. Let c = v + 7. Put 3, c, -3 in descending order.\nAnswer: 3, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215485381?\nAnswer: 41, 5255741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -33. Solve 0 = 4*v - 0*v + l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.97. Let g = -1.03 + m. Let z = -1.2 - g. Which is the biggest value? (a) z (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -229, 1, 5, 2, -1, 206 in increasing order.\nAnswer: -229, -19, -1, 1, 2, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10 + 1911\/(-3510)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -11*y + 7*y. Let a be ((0 + -1)\/y)\/1. Let t be a\/4 + (-1383)\/(-12). Calculate the highest common factor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-3)\/9). Let b be -2 - -7 - (-6 + 6). Suppose -2*j + b*c - 357 = -4*j, p*c = -10. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 750 + -748. Solve -h*s = 3*k - 8, 3*s - 1 = -2*k + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27922 * 4\nAnswer: 1.11688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2\/3. Let i(j) = j + 4. Let w be i(-5). Is h greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 1, o: 2, g: 1, r: 2}. Give prob of sequence rgr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.83738 - 0.16262. What is the second smallest value in x, 3, 1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13008 is divided by 448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 - 15*g**2 + 3*g + 39. What is the tens digit of f(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Let t(o) be the third derivative of 5*o**4\/24 - 9*o**2. Determine t(s(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*f - 4 + 2, -3 = 5*i + 3*f. Suppose 2*p - 2*m = i, 4*p + 2 = -2*m + 20. Solve -8 + 2 = p*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {z: 2, y: 4, k: 1, x: 9, t: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - 11. Let g be v(-7). Let h = 32 - g. Suppose 0 = -67*f + 53 + 215. Solve -z + 5*j = 3*z - h, 0 = -f*z - 5*j - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -4256386?\nAnswer: -41\/4256386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/23))**(5\/4)*(c\/c**(-6))\/(c*c**(-4\/9)*c*c) assuming c is positive.\nAnswer: c**(1885\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**3 + 6*b - 1\/147*b**7 + 0*b**2 + 0 - 1\/35*b**6 - 3\/70*b**5 - 1\/42*b**4. Let c(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 31. Let o be a(21). Suppose -s + o = s - j, -3*j = s + 5. What is the remainder when 4\/(-10) - (-37)\/5 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35057496 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*g = 2*b + 785, 2*b - g = 315. Suppose 4*q = -3*r + 3*q + 170, 0 = -3*r + 2*q + b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209662 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 + 0 + 9 - 272*i - 22*i**2 + 43*i**2.\nAnswer: -4*i**2 - 272*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 3 + 1 - 116*m + 7*m**2.\nAnswer: 6*m**2 - 116*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 70597.334 and 1.1?\nAnswer: 70596.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 10*a - 20. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1420\/(-35)*(-2625)\/1500?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:04 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5187758, -5187760, -5187762?\n\"Answer: -2*v - 5187756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2. Let i(c) = -1325*c. What is i(u(v))?\nAnswer: -1325*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 339 - 216. Suppose 10*i = 7*i + o. Let x = i + -24. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.405423 - 2?\nAnswer: 79.405423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/154)\/((-4)\/80*-5)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 739913.5s in microseconds?\nAnswer: 739913500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/44463 and 23\/60.\nAnswer: 889260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = j + 6 + 33 - 18, 0 = 2*j + 4*u - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 - 147412924*g\/9 + 294825856\/9.\nAnswer: -2*(g - 2)*(g + 73706464)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + -11141?\nAnswer: -11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(64) + 1*(sqrt(17) + sqrt(34)\/sqrt(2)).\nAnswer: 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 626976 and 3528?\nAnswer: 4388832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*h*v**3 - 52*h*v - h + 181*v**2 - 2351234 wrt v.\nAnswer: -195*h*v**2 - 52*h + 362*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/4*(1 + -38). Let p be 2\/3 - r\/3. Suppose 101 = 3*t - 2*t + 4*i, 4*t - 4*i = 484. What is the highest common factor of t and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -300?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 49*t**3\/4 - 8062341*t**2\/4 + 331635470835*t\/4 + 331643533225\/4 = 0.\nAnswer: -1, 575885\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 141*w**5 + 474048*w**4 + 8051673*w**3 + 45645066*w**2 + 86823900*w + 3612600 = 0. What is w?\nAnswer: -3345, -6, -5, -2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -4 + 2 - -2) + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430095 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -444, -882, -1320, -1758, -2196?\n\"Answer: -438*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykky when four letters picked without replacement from kkkyykkykkk.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3813 + 3785 - (-1 - 2 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*(-6)\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 303*q**3 + 3*q - 2*q**2 - 614*q**3 - 1 + 312*q**3. Determine i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 2*j**4 - j**5 + 4*j + 2*j**5 - 4*j + (3 + 0 - 4)*(-3*j**5 + 4*j**5 - 4*j**5).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 4. Let m be s(-5). Let u(w) = 8*w**3 - w. Calculate u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221 + -11?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4 - 8. Suppose p*i + 5 = 9*i. Solve -i = -2*n + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-189))\/((5 + -11)\/6 + (-5 - -5)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54883?\nAnswer: 71, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 282544 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*b**3 - 4*b**3 + 5*b**3 - 4*b**3 to the form g*b + w + a*b**3 + l*b**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 11*w - 4*w - w**2 + 3*w to j + d*w**2 + y*w and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 28*k**3 - 317*k**2 + 0 + 344*k**2 wrt k.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010011111100 + -101?\nAnswer: -1011010100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1971*s + 41 = -1968*s, 3*m = -2*s + 26. Put -2, -9, -4, m, 44 in increasing order.\nAnswer: -9, -4, -2, m, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-7))\/(60\/(-560)*(-148)\/111)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/8)\/((-1)\/(-18)))\/(315\/(-1050)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1472 divided by 4.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 230, 525, 958, 1541, 2286, 3205, 4310?\nAnswer: 5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9400*i + 1. Let h(g) = 5*g**2 + 144. What is x(h(r))?\nAnswer: -47000*r**2 - 1353599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbjb when four letters picked without replacement from ibibjjbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.287577l?\nAnswer: 3287.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351112 divided by -428.\nAnswer: -87778\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 353290*b - 2473067. Determine o(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffxfxp. What is prob of picking 1 k, 1 f, and 1 x?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r - v - 6 = -56*r, -4*v - 9 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022172 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -730*u**2 - 80*u - 80. Let t(b) = -27*b**2 - 3*b - 3. Determine -3*q(h) + 80*t(h).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -84964 at least -169927\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -y - 33, 1551*k - 5*y - 21 = 1550*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 9 - 14 - (-57 + -1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 5*u = 6*k + 4193, 6971 = 5*k + 4*u. Let c = -952 + k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19793940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.108 - 32.608. Which is the nearest to 0? (a) f (b) 9 (c) -258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.3. Let g be 5\/(-15) + (-8)\/(-6). What is the closest to g in 0.2, n, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 + t**2\/2 + t + 2199. Let i(y) = 12*y**2 - 6*y - 6. What is i(l) + 6*u(l)?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 * -0.1764.\nAnswer: 0.139356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 0. Let w be ((6\/l)\/1)\/3. Let v = -1 + 0.6. What is the closest to -2\/3 in v, w, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - i**2 + 3*i**2)*(3*i - 5*i - 8*i)*(3 + 3 - 5 + 3 + 0 + 0 + (-5 + 2 + 1)*(-1 + 4 - 2)).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) -5 (b) -4 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/9 - 176*w**4\/9 - 5260*w**3\/9 - 56656*w**2\/9 - 10914*w - 5184 = 0. Calculate w.\nAnswer: -32, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -826859 divided by -1?\nAnswer: 826859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n + 12. Let j be i(-4). Sort j, 6, 0.\nAnswer: j, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 27*a + 4. Determine z(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5967410 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-1 + sqrt(3) + -4)**2 + sqrt(3))*-2 + 1.\nAnswer: -31 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -6*s**4\/19 - 40*s**3\/19 - 14*s**2\/19 + 68*s\/19 + 48\/19 = 0.\nAnswer: -6, -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32968822 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.90087 - 15.99?\nAnswer: -3.08913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 60*d + 2773. Calculate v(-45).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*r, -18*r + 14 = -3*j - 14*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*sqrt(85)\/(sqrt(125) + (sqrt(125)*-1 - sqrt(125)) + sqrt(125) - sqrt(125) - sqrt(5)) - (3*sqrt(425) + -1 + sqrt(1377) + sqrt(17)))**2.\nAnswer: -208*sqrt(17) + 45972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 64734 to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + m**3 - 5*m + (-2*m + 2*m - m)*(3*m**2 - 3*m**2 - 3*m**2) to l + c*m**3 + n*m + q*m**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1116 in 0.3, 4, -0.0246?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3597, -3398, -3199, -3000?\n\"Answer: 199*f - 3796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/2 - 15597*r\/2 - 5612952 = 0. Calculate r.\nAnswer: -4336, -863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -12. Let s = -11 - l. Solve -2*m + 17 = -3*x, s*m + 5*x - x = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148\/(-27566)*35\/(-20)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1\/7 (c) 5 (d) 0 (e) 213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515369117630*z**3 - 515369117629*z**3 + 2 - 2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165*i**2*w**2 - 871*i**2 + i*w**2 + 169917*i*w wrt i.\nAnswer: 330*w**2 - 1742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2*c**2 + c**2)*(0*c**3 - 2*c**3 + 0*c**3) + 39*c**5 + 33*c**5 - 16*c**5 - 3*c**5 - 2*c**5 + 6*c**5.\nAnswer: 53*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/4 - 11*r**3\/3 + 9*r**2\/2 + 8*r - 78. Calculate q(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**8\/3360 + w**7\/420 - w**6\/120 + w**5\/60 - 7*w**4\/12 + 27*w. Let j(q) be the third derivative of i(q). Factor j(a).\nAnswer: -2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 198*h**2 - 2 - 3097*h + 1509*h + 1588*h.\nAnswer: 198*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11101?\nAnswer: 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12*o**2. Let g be y(2). Suppose 0 = -t + 5*t - 972. What is the units digit of (t\/36)\/((-2)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.156 in -0.3, 38\/17, 0.048, -2\/5, 1?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 83*d + 1328. Give x(-10).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 17. Suppose 2*k = -w*k + 2*y + 12, 2*k - 18 = 4*y. Let p be ((-2)\/(-11))\/(1 - 2). Put -5, p, k in decreasing order.\nAnswer: k, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**3\/3 + 6*x**2 - 2*x - 15. Give k(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:57 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7717998896?\nAnswer: 2, 3607, 133733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598139 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9642 is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)*(x\/((x*x*x**(-2))\/x*x))\/x)**(-17) assuming x is positive.\nAnswer: x**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 49. What is the second derivative of 403 - o*x + x**3 - 403 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 16. Let x be f(6). Let s = 1126 - 1114. Calculate the remainder when 466\/x + (-2)\/(-5) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4986.078km?\nAnswer: 4986078000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -812, -815, -826, -845, -872, -907?\n\"Answer: -4*z**2 + 9*z - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35157 and -1189097833?\nAnswer: 1189062676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + x = 1106, 6*x + 571 = v + 2*x. Let f be 12\/21 + 6088\/28. Let z = v - f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 326 + 118062?\nAnswer: 118388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-35) + 4\/(-10). Let v be (f\/(-2)*-2)\/7. What is the third biggest value in v, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47960 and 1760.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*a + 13*a + 72. Calculate the highest common factor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/2 + 434553*l**2\/2 + 5214987*l\/2 + 11733903\/2 = 0. What is l?\nAnswer: -9, -3, 144863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 4. Let y be -1 + (-1 + 0)*2. Let u be k(y). Solve 0 = 2*q + u*a - 19, -21 = -5*q - 2*a - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5881590*q**3 + 11796045*q**2 wrt q.\nAnswer: 35289540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. Let s(d) = 23*d**2 - d + 1. Let t be s(1). Suppose -5*o = -h - t, -4 = -h - 2. Which is the closest to -0.1? (a) o (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254571558 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*p - 7 + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -242, -460, -676, -890, -1102?\n\"Answer: v**2 - 221*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 + -64. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u - 21. Let j(c) = -136 - 4*c + 0*c + 254 + 2*c - 128. Suppose p - 25 = 6*p. Let f(s) = p*j(s) + 2*k(s). Differentiate f(g) with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14703)\/(-22620))\/((-2)\/(-16))\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469991 + 470255.001. Let u = 265.1 - g. Let v = u - 0.099. Is v != -1\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 744484 and 171804?\nAnswer: 2233452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77625 is divided by 77429.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -56*c**3 + 18*c**2 + 32*c + 6 = 0?\nAnswer: -3\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 29*c**2 - 127*c - 20. Is 23 a factor of a(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*h + 8*n + 1470, 4*h = 5*n + 1176. Suppose -87 + h = z. Calculate the highest common divisor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 49*p**2. Let r(o) = 4*o + 4. Determine j(r(d)).\nAnswer: 784*d**2 + 1568*d + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -5, 1516, -6\/13, 4, 28 in increasing order.\nAnswer: -5, -6\/13, 0.01, 4, 28, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + m - 140, 41*z - 37*z + 4*m = 112. Sort 3, 1, z, -2.\nAnswer: -2, 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.9 (b) -4.3 (c) 0 (d) 413\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -z + 1549, 4*z + 7368 = 4*h + 1164. Let b = 179 + 180. Suppose b = w - h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.9774 centuries to millennia.\nAnswer: 5.09774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 29609, 5, 4, -2 in descending order.\nAnswer: 29609, 5, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426800 is divided by 9700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2)\/(-8)*50. Let p = -18 - x. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x + 3*r + 57, -5*x - 861*r + 866*r = -35 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 271443*r\/2 + 12083174.\nAnswer: -(r - 89)*(r + 271532)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(1216)*-1)**2*1 + (sqrt(1216) + 1)*1 + (4*sqrt(1216) - sqrt(1216)) + 4 + sqrt(1216).\nAnswer: -54715 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356932483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13475 - -1.08\nAnswer: -13473.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/7 - 142*k - 46440\/7 = 0.\nAnswer: -43, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37\/69 + -6961\/3588. Suppose -l - 70 = 200. Let f = l - -779\/3. Find the common denominator of i and f.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1702?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - q + 2. Let g be z(0). Let j(l) = 3*l - 3. Let m be j(g). Suppose 0 = 2*r + m*r - 45. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 63 = -4*x. Solve 0*f - x = 2*f - 5*d, -5*f + 4*d = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 + 192*m + 341. Let w(n) = 9*n**2 - 198*n - 342. Let x(d) = -5*w(d) - 6*y(d). Find t such that x(t) = 0.\nAnswer: -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba5 - 664?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.8 (b) 1\/5 (c) 5 (d) -0.1 (e) 0.3 (f) 109\/31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2. Suppose 93*b = 103*b - 20. Let s(z) = 45*z**2 - 12*z**b + 7*z**2 + 44*z**2. Determine s(j(r)).\nAnswer: 336*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:22 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(-9\/2)*(z\/z**0)**(-15) assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 2, k: 4, g: 3, o: 1}. What is prob of picking 1 k and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 6656 + 9238. Let w = 2881 - t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000129753 rounded to 7 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6971568370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134, 309, 528, 791, 1098, 1449?\n\"Answer: 22*d**2 + 109*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1150141 (base 6) to base 9\nAnswer: 102567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 19*a - 7541 = -8156 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127429381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -21, -27, -31, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 164868 = -13*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a factor of 1577432193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 7) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 - 5899\/30. Let o = z - 1\/6. Let n be 0 + (-148)\/476 + (-4)\/34. What is the closest to -1\/2 in n, 0.4, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18260 = 9*u - 23858. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/8 and -109\/196?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2034, -1993, -1952, -1911, -1870?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15*m - 17 = 17*m, 0 = 3*y - 5*m - 29. What is the nearest to 1 in -56, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = 17. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 321? (a) -4 (b) -242 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w - 29\/8*w**4 + 0*w**3 + 0*w**5 - 7\/10*w**6 + 0 + 6*w**2. Find the second derivative of r(a) wrt a.\nAnswer: -504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(30)\/sqrt(40) + sqrt(3)))\/((sqrt(576) - (sqrt(576) + sqrt(576) + sqrt(576)*-1) - sqrt(9)) + sqrt(144)*-5).\nAnswer: -2*sqrt(5)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2746 and 53\/110.\nAnswer: 151030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 7, a: 1, k: 6, l: 5}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 6*6\/(-9). Suppose -5 = 2*j + 3*j. Let t be j\/(-3) + 5 + -4. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 2*o)*(-59 + 3*o + 59).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005527 rounded to 4 dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 104 + 106)*(-2 + 5 - 1)*(5*j**3 + 0 + 0 + (3 - 3 + 2*j)*(-j**2 - 2 + 2) + (4*j**2 + j**2 - 3*j**2)*(-3 + 3 - 2*j)).\nAnswer: -358*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3826 smaller than 3664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7381739 millilitres in litres?\nAnswer: 0.0007381739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1091 greater than -1091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 4*m**2 + m**2)*(-2*m + 3*m - 2*m) + 2*m**3 + m**3 - m**3 + m**3 + 15*m**3 - m**3 - m + 2*m**3 + m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g - 1. Let f be l(4). Solve 0*n - f*n - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 495377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 9) to base 10\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/182 - 361\/546. What is the nearest to 0 in 34, q, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 1, u: 5, g: 2, f: 5, q: 1}. What is prob of sequence flfl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 10*g - 5*t - 27, -4*g - 4 = -4*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:05 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1417727 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71*128647.\nAnswer: 9133937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3399, -11539, -25101, -44079, -68467, -98259, -133449, -174031?\n\"Answer: y**3 - 2717*y**2 + 4*y - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -58 + -2 - (0 - 0 - 12 - (9570 + -9584))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -135713*y + 814339. Determine n(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/15)\/(1\/((-11)\/(-616))). Let q(v) be the third derivative of 1\/160*v**6 - 1\/80*v**5 - a*v**7 + 0*v**3 + 0 - 3*v**2 + 0*v + 1\/96*v**4. Factor q(o).\nAnswer: -o*(o - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-43)\/516)\/(4\/(-180))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 163 - 9 = 0. What is the remainder when 131 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4423904 or 4423903?\nAnswer: 4423904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 = 5*j - 19, -5*j + 30 = 5*m. Solve -2*o - 16 = -3*i + 1, 0 = 2*o + j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, u: 2}. Give prob of picking 1 b and 1 u.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/12*(-66)\/55)\/(69\/((-6555)\/(-1178))).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -51. Let v(j) = -20*j + 11. Let a(c) = 7*c - 4. Calculate f*v(k) - 17*a(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14) - ((-32500)\/4130)\/13?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.11, 3, 0.04, -2\/21 in increasing order.\nAnswer: -8, -2\/21, 0.04, 0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 + 4*n + 26. Let r be a(7). Suppose -21*j = -r*j + 112. Put 0, 18, j in descending order.\nAnswer: 18, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 264168.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1*sqrt(385))\/sqrt(11))\/(-6*(-2*sqrt(720) - sqrt(5))))**2.\nAnswer: 7\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -177, -351, -627, -999, -1461, -2007, -2631, -3327?\n\"Answer: b**3 - 57*b**2 - 10*b - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 8*h. Let b be g(8). Suppose 2*m + 8 - 72 = b. Let u = -19 + m. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1168 and 687076?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35\/3 + -12. Let v = 0.5 + 28.5. Let d = 33 - v. Which is the third smallest value? (a) d (b) g (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 35) + 69 + ((-2)\/4)\/(13\/(-312))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1139 + 265429\/23919. Let i = 37\/21 - f. What is the common denominator of 52\/3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3907, 3903, 3907, 3925, 3963, 4027?\nAnswer: 4123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*33\/33*(-4)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (3 - 4 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 + 104607595*h**3 = 0. What is h?\nAnswer: -20921519, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z + 12. Let w be b(-13). Suppose -i - 4*i = -w. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 41, 4\/3, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -86*y + 115. Give b(10).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 1. Let s(f) = 2*f + 4*f - 4*f. Let x = 50 + -53. What is x*b(a) + 5*s(a)?\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3304*j + 128892 = 1436*j for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 35*l**2 + 2*l. Let q be p(1). Let h = q + -33. Calculate the highest common factor of h and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 13 = 4*q - 6, 3*a = -5*q + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 2)*18\/90. Let h(x) be the first derivative of g*x + 0*x**2 - 2*x**3 + 11 - 1\/2*x**4. Find the third derivative of h(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a, -4*a = b - 185 + 3. Suppose 4*h = h + b. Suppose h = -3*n + 161. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 13*l**7\/210 + l**4\/4 + l**2 + 6. Let h(a) be the second derivative of g(a). What is the second derivative of h(v) wrt v?\nAnswer: 156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 2*s = -26, -o + 1269175*s - 22 = -3*o + 1269172*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 3. Let y be (v*4\/(-1))\/(-1). Let k = 2.002 - 0.002. Which is the nearest to k? (a) 2\/7 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8, -5\/101, 10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**36\/(f\/(f\/(f\/(((f\/(((f*f**(-1\/5))\/f)\/f))\/f)\/f)*f))*f)**21)\/((f**(-1\/7)\/f**(3\/8))\/(f**1*f)**(-1\/8)) assuming f is positive.\nAnswer: f**(3771\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 502, 549, 626, 739, 894, 1097, 1354?\nAnswer: 1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383661.59 rounded to the nearest one thousand?\nAnswer: 2384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816186.8kg to micrograms.\nAnswer: 816186800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(7\/21)*-2. Let m be (8\/g)\/2*51\/2. Let s be -3 - 2*53\/m. Sort 0.05, s, 1\/3, -2\/15 in ascending order.\nAnswer: -2\/15, 0.05, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324987 is divided by 2057?\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 104.3. Which is the second smallest value? (a) -2 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13023312 (base 4) in base 12?\nAnswer: 15046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + v)*(-710*v - 825 + 416 + 411) in the form h + t*v + n*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 479179808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -33829, 13.\nAnswer: -33829, -12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2261.346 - -2267. Let u = 42.3 + -48. Let j = y + u. Round j to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.299052 + 0.700618. Let t = a + -7. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10028 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119 (base 11) in base 9?\nAnswer: 3754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, 2\/11 in ascending order.\nAnswer: -13, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2341*c - 5548. Is j(-131) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4906 divided by -223?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 28 - 38. Suppose -4*j + 24 = -p*j. Let y be (-2)\/6 - 20\/(-6). Solve 25 = -y*t + 2*w, 5*t + j = -2*w - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1728724733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 27418.534 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78726196253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 8*u**3 - 6*u**3 - 51*u**3 - 71*u**3 + u**2 + 11*u**3 - u**3 - 5*u**3 + 4*u**3 + (0 + 0 + 2*u**2)*(-3 + 3 + 2*u).\nAnswer: -104*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69 - 49*k - 71*k - 231 wrt k.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-66)\/(-55))\/(6\/160). What is the greatest common divisor of 48 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -5331962.\nAnswer: 1226351.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*w*y**5 - w*y - 4*w + 17*y**4 + 2*y + 26 wrt y?\nAnswer: -360*w*y**3 + 204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(720)*3*-1)\/((sqrt(9) - (sqrt(9) + (sqrt(45)\/sqrt(20) - sqrt(9) - sqrt(9)))) + (sqrt(90)*2 + sqrt(90))\/sqrt(10)))**2.\nAnswer: -80*sqrt(5)\/3 + 545\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a (base 14) in base 11?\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -166) + (121 - 26) + -96?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 5520*d**2 + 1097145*d - 7411250.\nAnswer: 5*(d - 847)*(d - 250)*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 7. Let z = -17 + 22. Suppose -4*w = 2*o - 26, z*w = -4*o + 50 - 10. What is the remainder when 83 is divided by p(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 3305420370?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:52 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m**2 + m. Let v = 229 - 209. Let t be 3\/((-3)\/(-19))*-1. Let z = v + t. Calculate c(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3504)\/318 - -11)\/((-2)\/(-4))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305 divided by 170?\nAnswer: 1461\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-296 + 149 + 6*q + 149) + 134*q - 97*q + 105*q to the form n*q + y and give n.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l - 808. Let d = l + -15. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 7*n**2)*(-n**3 + 0*n**3 + 2*n**3).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -308, -455, -604, -755, -908, -1063?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 0 - (-17 - (-9 + 0 + -1 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45772 + 24991. What is b rounded to the nearest one hundred?\nAnswer: -20800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-559)\/559*(-2)\/2*45?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 36*t = -282. What is the remainder when 12\/(-8)*(-1 + t) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4*q + 108*f**2 - 12485*f*q - 574071*q - 1 with respect to f.\nAnswer: 4*f**3*q + 216*f - 12485*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-9)*(-6)\/(-8). Suppose 0 = -3*g - 2*t - 6, g - c*g - 4*t = -8. Sort 1, -2, g in ascending order.\nAnswer: g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m + 5 = q, -m = 0. Suppose 5*c - 5*p - q = 0, c = 2*c + 3*p - 13. Calculate the least common multiple of c and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27029, -55411, -83793, -112175?\nAnswer: -140557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3252 - 3252.1. Which is the nearest to 4? (a) -0.2 (b) x (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*k - 16 = -4, -2*o + 2*k - 8 = 0. Let s be 16\/(o - -2) + -4. Solve -w - s*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + 1)*1 - (0 + sqrt(112) + 4))**2 + -5)*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 138. Calculate the least common multiple of 17 + (33\/(-22))\/((-6)\/4) and r.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 341 + -705. Let a = -333 - b. Let r = 104 + -73. Is a at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6277399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + l - 26 = 0, m + 6*l + 22 = 2*l. Let c = -10 - m. Let i be 12\/(-16) - 27\/c. What is the greatest common divisor of i and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 71 - -20?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.7 - -2.4. Round j to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -744689055?\nAnswer: -744689051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82256 and 167616?\nAnswer: 8883648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 533\/(-1) + -5 + 4. Let q = -277 - g. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 3. Let x be ((-10)\/a)\/(2\/(-3)). Suppose 2*g = -4*p - 19 - x, g = p + 3. Let w(t) = t**3 + 6*t**2 + 5*t + 2. Calculate w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 8 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 6*a + 0*a. Let q(v) = -v + 0*v - 2*v. Give b(q(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3197 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2368, 4, 3, 0.2, -5\/18 in descending order.\nAnswer: 2368, 4, 3, 0.2, -5\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-12)*(-6)\/4. Calculate the common denominator of 1 - (h - 104\/(-18)) and -74*((-3)\/6)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23612406, 47224815, 70837226, 94449639, 118062054, 141674471?\n\"Answer: h**2 + 23612406*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 7*w - 18. What is the remainder when m(9) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17385*f**2 - 727697 + 727697 + (-3*f**2 + 2*f**2 + 3*f**2)*(-1 + 1 + 2) to the form x*f**2 + v*f + o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -534, -760, -970, -1164, -1342, -1504, -1650?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -150 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 763, -107, -358, -2 in decreasing order.\nAnswer: 763, -2, -107, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Suppose 0 = 5*s - 2*y - 32, 0*s + s + y - 12 = p. Suppose -l + s = l. What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 286009542 to the nearest 100000.\nAnswer: 286000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -1176?\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 987 + -994.33. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0660552 and 287?\nAnswer: 287.0660552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1175798, -1175568, -1175338, -1175108?\n\"Answer: 230*i - 1176028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 10, 2, 7, -606 in ascending order.\nAnswer: -606, -54, 2, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 3. What is a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9512*m**5 - 256804*m**4 + 1835276*m**3 - 1109044*m**2 - 3217396*m - 6760 = 0 for m.\nAnswer: -1, -5\/2378, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14758867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 114187 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j. Let m(o) = -o**2 - 11. Suppose -v - 2*v = -33. Let b(g) = 2. Let x(z) = v*b(z) + 2*m(z). Calculate x(y(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 - 2*p + p**3 + 3 + 5 - 6*p**2 + 4 - 6 to the form i + g*p + l*p**3 + d*p**2 + z*p**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4\/3 + 364*q**3\/3 - 660*q**2 - 5068*q\/3 - 2720\/3 = 0 for q.\nAnswer: -1, 8, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1828 + -1341. Let y = 4.597 + 431.203. Let f = y - n. Round f to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/115039 and -95\/4556.\nAnswer: 460156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 20. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, -3, -1, -0.5 in decreasing order.\nAnswer: 1, 0.4, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50275 by -10055.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 480829.2 millilitres?\nAnswer: 480.8292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 369 and 9184.\nAnswer: 82656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6322412970824 less than -7?\nAnswer: -6322412970831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1478, -967, -3412, -5857?\nAnswer: -8302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q. Let a(p) = -p + 10 + 0 + 3. What is the least common multiple of n(-1) and a(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4*(-15)\/140)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 0.093, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 482536*x + 5790259. What is d(-12)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + 654?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 11 + 16)*(4*x + 2*x - 4*x) - 2*x + 3 - 3 + (1 - 1 - x)*(0 - 1 + 0) - 4 + 2*x + 4 + x + 2*x - 2*x to the form t + j*x and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20 + 3)\/(0 - -1). Suppose 0 = -9*g + 7*g + 46. What is the greatest common factor of m and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 6*y + 2. Let g be 2\/(-3)*((-44)\/(-4) - 2). Let q be u(g). Is 63\/42 - (-743)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 4*n**3 + 23*n**3)*(n - 1 + 1).\nAnswer: 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(15)*-1)\/(sqrt(245)*4).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggygyyyyggyygg. What is prob of picking 2 y and 1 g?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**2*g*h**2*v**3 - a**2*g*h*v - 6*a**2*g*h + 3*a**2*h*v**3 - 2*a**2 + 2*a*g + g*h**2 + 16*h**2*v**3 wrt h.\nAnswer: -8*a**2*g*v**3 + 2*g + 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 2. Let k = -0.02 - 1.98. What is the smallest value in k, y, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 9. Let u be (9\/12)\/((-3)\/(-8)). Suppose u + 6 = -z. Let y = 2 + z. Determine s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -266053\nAnswer: 1330265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-2 + (-8 - -1)). Suppose 2*x = 5*u - y, x = -0*x + 4*u - 5. Let q(n) = -n - 2. Let v be q(x). Solve v = -2*z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.5989 to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14091 - 5.\nAnswer: -14096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -1828\/15. Which is the third biggest value? (a) 1 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.573? (a) -2 (b) -0.85 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 7. Let x be z(5). Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 0 + sqrt(75))**2 - sqrt(75))*3.\nAnswer: -15*sqrt(3) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1226038589 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3 + 72*k**2 + 411*k - 2860 = 0. Calculate k.\nAnswer: -65, -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102547749 to the nearest integer?\nAnswer: 10127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m**2. Let o(j) = 347*j**2. Determine k(o(a)).\nAnswer: -1083681*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -61263?\nAnswer: -61263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = -44 + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -719, -1620, -2881, -4502, -6483, -8824?\nAnswer: -11525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-8)*44364\/92425.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(104\/(-14))*(-16)\/(-28). What is the fourth smallest value in 2\/7, q, -2\/3, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/517695 and 64\/58499535.\nAnswer: 58499535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 + 8*h + 7. Suppose -d - 140 = -5*d. Suppose 25*r = 20*r - d. Let s be m(r). Solve s*w + 12 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:50 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -56*y**6\/3 - y**5\/5 + y**4\/4 - 209*y**3\/3 + 3*y**2\/2 + 3*y - 767. What is the third derivative of k(h) wrt h?\nAnswer: -6720*h**2 - 24*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4069, -4484, -5641, -7912, -11669, -17284, -25129?\n\"Answer: -62*s**3 + s**2 + 16*s - 4024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*m**2 + 163*m**2 - 4233 - 67*m**2 - 36*m**2 - 30*m**2 to the form t + l*m**2 + d*m and give t.\nAnswer: -4233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (80 + 38*l - 80)*((0*l + 5*l - 4*l)*(-5 + 5 - 2*l) - 45*l + 56*l**2 + 45*l) + 0*l**3 - l**3 + 0*l**3 in the form g*l**2 + c + z*l**3 + t*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1237573, 4950109, 11137607, 19800067, 30937489, 44549873?\n\"Answer: 1237481*u**2 + 93*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 6.8. Let u = j - -6.1. Is u >= 0.019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14649152 in 3, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57\/80 + -5\/16. Which is the second smallest value? (a) x (b) -3\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 81*z**2 + 122*z - 4. Is 78 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -91. What is the greatest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32685 divided by 6537.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414664 is divided by 779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3248*k - 79 = 71303 - 11838 + 83368 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1683 + -870. Suppose i + 642 = 5*k. Suppose -z = -k - 1340. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 + b + 3. Give p(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uupupuuuuu.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3\/2 (c) 4\/3 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197790 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 211*j + 46569. Calculate o(214).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 14. Let p be b(10). List the prime factors of -1*p\/(-2) + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -10*x + 22, -w + 3*x - 21 = -4 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96942813 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1700) + -1*(sqrt(1700) + 1)**2 + sqrt(1700) + -3*sqrt(1700) + 3 - ((sqrt(1700) + -1 + sqrt(1700))*4 - (5 + sqrt(1700) + 2))).\nAnswer: 200*sqrt(17) + 3374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 8. Suppose 3*i + 687 = 3*d, -v*i = -d - 3*d + 466. List the prime factors of (-4)\/6*i\/10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*m + 4*m - 6*u, 11*u = -10*u - 84 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 1. Let t be v(4). Suppose -4*p - 2*f + 32 = 0, 2*f + 42 = t*p - 16. Calculate the greatest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b. Let i(w) = 364*w - 56. Let t(z) = -33*z + 5. Let c(v) = -5*i(v) - 56*t(v). Let k(o) = 363*o. Let j(a) = 27*c(a) - 2*k(a). Give j(y(g)).\nAnswer: 180*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 619*p**2 + p. Let z be g(1). Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*u - 97828, -5*j + 35*u = 36*u - 244518. What is the ten thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = 3*k - 21, -5*k + 9033*s = 9027*s - 72 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 3*p. Let g = -144 - -147. Let h(u) = -5*u**2 - 8*u. Let f(o) = g*h(o) + 8*t(o). Let s(z) = 26*z - 15*z + 30*z. What is s(f(r))?\nAnswer: 41*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g + 555 = 5502 for g.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + a - 10 = 0, 2*b - 20 = 5*a - 2*a. Let z = b + -5. Suppose -z*i + i + 82 = 5*l, -i = -3. What is the highest common factor of l and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -4\/1075 (c) 9.57 (d) 1 (e) -3 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + 0.09. Let p = t + 0.08. What is the second smallest value in 3, -3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlz when three letters picked without replacement from {l: 5, r: 8, z: 3}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 5*s. What is the tens digit of (1 - 3)*(-26 + 6 + s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 37 = 52. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194*h*l - 396292667*h + 222757*l with respect to l.\nAnswer: -194*h + 222757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8516 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -14, -6, 4, 16?\n\"Answer: w**2 + 3*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:32 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d. Let s be 193\/5 + 168\/420. Let i(t) = 39 - s - 9*t + 32*t. Give i(n(u)).\nAnswer: 69*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s**2. Let l(w) = w + 8433. Determine y(l(g)).\nAnswer: 12*g**2 + 202392*g + 853385868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437094989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 512\/11 + 2\/11*a**2 - 260\/11*a = 0?\nAnswer: 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1866423 by -4.\nAnswer: 1866423\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 368 in -0.2, -4, -8\/9879?\nAnswer: -8\/9879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 8:00 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2353 - 313 = 0. Let p be (-2)\/10 + (-30177)\/(-60). Let i = t - p. What is the common denominator of i and 33\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 44. Let o = -13 + 28. Let f be g(o). Find x such that f - x + 1\/4*x**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 90, 4, -5, -2 in decreasing order.\nAnswer: 90, 4, -2, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 48?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1349.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 v when three letters picked without replacement from {g: 1, x: 4, a: 1, v: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v**3 - 3\/4*v**4 - 3 + 0*v**2 - 3*v. Find the first derivative of i(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 + 9.45. Let t = x + -0.02. Let i = -0.16 + -0.14. What is the third biggest value in t, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -bc?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -96.51. Let k = -0.49 + i. What is the nearest to k in 3, 1\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -691 * 16.649.\nAnswer: -11504.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i - 259 + 259.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (16 - 10)*(1*-1)\/(-1) and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 2*k, -2*k = 4*o + 11 + 35. Let x(i) = -i**2 + i + 15. Let l be x(0). Let n = l + o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101110001101011 - 1?\nAnswer: -10011101110001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.05 (b) -1\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 102 = -3*c. Let l(p) = -p**3 + p**2 + 24*p - 12. Let m be l(c). Solve f - 9*f = -m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17129386, 34258769, 51388152, 68517535?\nAnswer: 85646918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 215908 + -16701. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in 0.4, 1.78, -0.2, 4, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 150*j**3 - 8*j**2 - 29*j + 321. Is z(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19*p**3 + 2*p**2 - 7*p - 2. Let t(u) = -29*u**3 - 3*u**2 + 11*u + 3. Let h(y) = -8*c(y) - 5*t(y). Calculate h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 81221\nAnswer: 3\/81221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/15 + 7*f**2 + 6*f. Let a(v) = 0*v**2 + v**2 - v**2 + v**2. Give a(t(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 76 - 55 - ((-10 - -20) + 13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -108*p + 1185. Let a be m(11). Sort 4, -11, -5, a, 9.\nAnswer: -11, -5, a, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(2\/11) assuming f is positive.\nAnswer: f**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 468*i**4 - 956*i**4 + 8*i**3 - 9*i**2 + 472*i**4 as y*i**3 + c + o*i**2 + x*i + m*i**4 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from raraeaergeeggary.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 411\/11 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y = -20*y + 24. Let o be 31\/y - 9\/18. Let n(u) = u. Let k be n(2). What is the second biggest value in k, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 26, 74, -14, 5 in decreasing order.\nAnswer: 74, 26, 5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -295, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = -2*v - 2, 5*i + 2*v + 12 = 0. Let h(q) = -3*q + 2. Let m be h(i). Suppose -3*s + m + 79 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -17*x + 84 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(2\/((-3)\/(-3))). Let u be t\/(-3) - (-4)\/24. Let a be 1\/((-1)\/(-7)) - 2. Sort 2, a, u in decreasing order.\nAnswer: a, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/40 and -52\/356325?\nAnswer: 2850600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 20*j = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 34245*h - 377300.\nAnswer: 5*(h - 6860)*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1390*h**3 - 7*h**2 + 3*h - 6. Let q be b(6). What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 21*a - 3195. Let v be m(47). Solve -10*x - 19 = v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**4 - 2 - 3 + 11*q**4 - 2*q + 3 - 5*q**3 + 3*q**3 to f*q + d + b*q**4 + m*q**2 + p*q**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -7*p - 435. Let b = 158 - p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 - 0. Let h = g + -3. Let y = -0.4 - h. What is the nearest to y in 5, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89542 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10033001323 + 112?\nAnswer: -10033001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 195*u**4\/2 - 554*u - 875. Differentiate q(x) wrt x.\nAnswer: 1170*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70024, 70140, 70338, 70618, 70980, 71424, 71950?\n\"Answer: 41*f**2 - 7*f + 69990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 12*r**2 - 11*r + 6. What is s(-13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 2*o + 2 + 2*o + 3*o. Let y(r) = -4*r - 11. Determine 11*l(d) + 2*y(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-1*4*1 - (sqrt(2156) + (1*sqrt(2156)*-2 - sqrt(2156))))\/(((sqrt(144)\/sqrt(4) + sqrt(4) - sqrt(4)) + sqrt(16)\/sqrt(4)*2)*-6).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 2 (c) 3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyxxyyyy. Give prob of sequence yyy.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-15)*1*(-24)\/(-64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1606.09 + 1613. Let v = -13 - -6. Let b = u + v. What is b rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61395165 divided by 5?\nAnswer: -12279033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19138356, 3 in descending order.\nAnswer: 4, 3, -19138356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 940.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -41. What is the remainder when 19 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 7*l + 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 308986, 617707, 926426, 1235143, 1543858, 1852571, 2161282?\n\"Answer: -d**2 + 308724*d + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 + 20*q**2 - 25*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-474)\/119 + 4\/1. Suppose 62*r = 16*r - 46. Which is smaller: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196482882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 bigger than 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287139 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2283 by -5396.\nAnswer: 2283\/5396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = -1. Let f(j) = -j - 1 + 5*j - 3*j. Let y(b) = 9*b - 11. Let d(h) = n*y(h) + 6*f(h). Differentiate d(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11520*z - 80 = -11521*z + 5*d, 2*z = -4*d + 174 for z.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -9*s + 5*r, -24*s + 20*s = 5*r + 71 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15326080277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*d + 54 - 158, -n - 52 = -2*d. Suppose y + d = 4*y. Let o = -252 + 1013\/4. Which is the second biggest value? (a) y (b) o (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 29?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.15 (b) -141 (c) 0 (d) 3\/2 (e) 2 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 10*k**2 + 7*k - 11. Let u be g(-9). Suppose -u + 11 = 2*c. Solve -2*x = -c*s + 6, -4*x = -2 + 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.644443 months in decades?\nAnswer: 0.172037025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - c + 14. Suppose -2*z + 456 = 22*z. Let m = z + 21. What is the remainder when m is divided by b(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -407, -408, -405, -398?\n\"Answer: 2*f**2 - 7*f - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1896, -1898, -1900?\n\"Answer: -2*k - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4032 - 4.\nAnswer: -4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 2*u - 2222. Let a(l) = -l**2. Give g(a(i)).\nAnswer: 2*i**4 - 2*i**2 - 2222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 753311 (base 9) in base 6?\nAnswer: 13340444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-95))\/(-2*(-3)\/30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r + 927. Give x(65).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1490 and 447.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 24. Let w be d(11). Solve -w*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3830 (b) 4 (c) -2\/9 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1855000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 9634*z + 115320.\nAnswer: 2*(z - 4805)*(z - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/25369 and 16\/253?\nAnswer: 279059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 0.614.\nAnswer: 4.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*q**4 + 1 + 0*q**4 + (-27 - 11*q + 6*q - q)*(-5 + 5 + 3*q**3) to f*q**4 + g + k*q**3 + s*q + r*q**2 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + 4. Suppose 5*s = d + 31. Let x = 17 - s. Solve 2 = -5*o + x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 852. Let x(h) = -25*h - 5104. Let o(u) = 6*r(u) - x(u). Let q(i) = -i - 1. Let s be q(6). Let f(c) = 8*c - 9. What is s*o(g) + 6*f(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 8, 0, -10, -22, -36?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*b - 0. Let q be 1\/2*(35 - 25). Suppose q*n - x - 13 = 1, -8 = 2*n + 3*x. Solve -s - n*i = 5, -3*s = i + i + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 18 + 27 = 0. Suppose f = -4*x + 7*x. Solve 0 - 2*g + 75\/4*g**x + 9*g**2 - 85\/4*g**4 - 9\/2*g**3 = 0 for g.\nAnswer: -2\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3728.98007 + -2601.09142. Let r = h + 6330. Let z = r - -0.07. Round z to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -931 times -3?\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2691*a**4\/4 - 14068*a + 6976. Differentiate t(i) with respect to i.\nAnswer: 8073*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*b - 4*s + 1, 3*b - 4*s - 21 = 0. Let k be 4 + (0 - b)\/3. Solve -27 = -3*c - 5*x, -k*c = -c - 5*x + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1213, 1207, 1195, 1177, 1153, 1123?\n\"Answer: -3*y**2 + 3*y + 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}