diff --git "a/data/dm_maths/full_data/1473_11255.jsonl" "b/data/dm_maths/full_data/1473_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1473_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of picking 1 k, 2 n, and 1 e when four letters picked without replacement from {q: 3, e: 2, k: 2, n: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 22725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 5:41 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -300*f + 307*f - 21. Sort 215, f, 5 in increasing order.\nAnswer: f, 5, 215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 47*q**2 - 550*q - 54. What is h(24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uabmhwb. Give prob of picking 1 w, 1 u, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*s + 29 - 81, -2*s = 3*t + 42. Let h be (((-15)\/2)\/s)\/(0 - -1). Which is bigger: -25\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 0)*4*-3.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501474 is divided by 125328?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 36. Let h = 0 + -1. What is the nearest to h in c, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 5, -2, -83, -16 in decreasing order.\nAnswer: 5, 4, -2, -13, -16, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than 6\/1343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 2*v + 21 - 16 + 6*v. Let d(w) be the first derivative of 5*w**2 + 16*w + 1. Let n(g) = 2*d(g) - 7*l(g). Calculate n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-43446)\/(-15039) - 2\/(-18). Solve -2072\/5*t - 2*t**c - 784\/5 - 284\/5*t**2 = 0 for t.\nAnswer: -14, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101212201000112 (base 3) to base 11\nAnswer: -3299380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 1 - 2*t - 1. Let s be i(3). Suppose 1 = 2*a - s. Calculate the highest common divisor of a and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. Let j = 21 + -19. Let d be (((-3)\/2)\/(-5 + j))\/2. What is the biggest value in -3, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 252300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 62343, -14, 2\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -5 - (-3 - -4). Let h(k) = o*k**2 + 2 - 3 - 2*k**2 + 4*k. What are the prime factors of h(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21168*h**2 - 42840*h + 21675 = 0.\nAnswer: 85\/84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0, -2\/7, 220?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452404 (base 10) in base 9?\nAnswer: -2653282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**3 + 5*g**2 - 5*g - 5. Let l(d) = d**2 - d. Let c(s) = -3*s**3 + 7*s**2 - 7*s - 2. Let q(u) = -c(u) + 5*l(u). What is -15*q(h) - 6*z(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 153*i + 12 = 152*i, 4*r - 2*i + 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/4 + 19*p**3\/3 + 67*p**2\/2 - 8*p + 122. Does 37 divide q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -8 - (-10 + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:43 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0*v**4 - 1\/120*v**5 + 1\/240*v**6 + 0 + 0*v + 9*v**2 + 0*v**3. Factor i(d).\nAnswer: d**2*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 701 + -3503\/5. Factor -6\/5*i - 6\/5*i**2 - 2\/5 - f*i**3.\nAnswer: -2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/205 - -421\/2255. What is the second smallest value in 0.11, -1, -3, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5593.297 nanometers to meters.\nAnswer: 0.000005593297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*a**3)*(-8*a + 74*a - 10*a)*(-1 + 0 + 0).\nAnswer: 112*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -8, -0.4, 226, 0.3, -12?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000103 (base 4) in base 6?\nAnswer: 234523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.62994\nAnswer: 0.188982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824 at most 2824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1120147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/69 - (376\/92 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 817?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -386\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-8) - 2)*(-1 - 11). Let t(s) = 4*s**3 - 2*s**2 - 2*s - 12. Let w(b) = -3*b**3 + 2*b**2 + b + 10. Let m(n) = a*w(n) - 5*t(n). Factor m(v).\nAnswer: -2*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5383 or -5380?\nAnswer: -5380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 825 divide 1939575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -351657, -703354, -1055059, -1406772, -1758493?\n\"Answer: -4*t**2 - 351685*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/(32\/840*-9)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-55)*1)\/((25992\/(-80))\/361)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:30 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -7. Let o(f) = -4*f**2 + a - 20*f + 3*f**2 + 11*f. Is 2 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-15)*-1)\/((-1)\/282). Let k = x + -93. Solve -5*r + 4 = -k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*u + 26*u - 202*u + 3 + (5 - 1 - 2)*(u - u + 4*u) + 10*u + 12 - 12)*(-2*u**2 + 0*u**2 + 3*u**2).\nAnswer: -108*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436421.\nAnswer: 29, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -1. What is the remainder when k is divided by 4\/6*-3 + 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36680 + -25352. List the prime factors of i.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(-4*a**5 + 5*a**5 + a**5) - 6*a + 6*a - 5*a**5 + (-5 + 1 + 5)*(-127*a**5 + 64*a**5 - 22*a**5).\nAnswer: -100*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99622503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:11 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 14477*n - 14436*n + 28913*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 103. Let s = -169\/3 + f. What is the smallest value in s, 5, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*c + 14, -2*c + 7*c = -25. Let j be -8*(d + 3 - -2). What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 13\/26*21\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2450) - (sqrt(2450) + (-3*sqrt(2450)*-1 - sqrt(2450))) - sqrt(2450)*-1*3)\/((-2*(sqrt(160)*1 - sqrt(160)) - sqrt(160))*-6)*5)**2.\nAnswer: 6125\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0 - 0) + 861 + -854\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.5, 5, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y. Calculate c(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9048 and 1566?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 3\/4, -0.8, 0.3, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohrsarohhacrs. What is prob of sequence cr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26014, -208131, -702446, -1665061, -3252078, -5619599?\nAnswer: -8923726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181\/5 + 36. Let g = 133.3 + -133.6. Which is the fourth biggest value? (a) -0.04 (b) 4 (c) t (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n - 564. Let x be (-6)\/27 - n\/(-36). Solve 5*c = -0 + x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 18*k + 54. Let p(i) = -123173*i. What is v(p(x))?\nAnswer: -2217114*x + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.284, -4\/5, 0.2, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16859476, 67437920, 151735326, 269751694, 421487024?\n\"Answer: 16859481*d**2 + d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/14 - 72\/(-84). Does 3 divide (-2)\/o + (-1444)\/(-114)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.38, -2, -5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2\/37)*t**(-1\/25))**(-2\/13))**(-26))**(2\/19) assuming t is positive.\nAnswer: t**(7504\/17575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -11, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13578932 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -74*h**3 + 13*h**2 - 13. Let v(x) = 37*x**3 - 6*x**2 + 6. Give -6*b(n) - 13*v(n).\nAnswer: -37*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*o + 155 = 0, 0*o + 15 = -3*o. Let x be f + 1\/2*-2. Suppose -21 = -5*q + 3*v, x = 4*q + 3*v - 2*v. Solve -3*y = -3 - q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 57. Let s(p) = -21*p + 6. Let f be s(0). Is 4 a factor of t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47357 - -549.\nAnswer: 47906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 + 4374*i**2\/5 + 69084*i + 6645288\/5.\nAnswer: -3*(i - 1534)*(i + 38)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1810088\/45 - -40226. What is the common denominator of -88\/855 and o?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -610337, -610349, -610361, -610373, -610385, -610397?\nAnswer: -610409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and (-23)\/345 + 1081\/15.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 187 = 10*c - 11*c, 5*k - 20 = 0. Suppose -579 - 736 = -5*q. Let l = c + q. Calculate the highest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767.65 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175405?\nAnswer: 5, 7, 11, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:19 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21188 + -11152. Let l = r + -7145. Suppose m = 8*m - l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 - u**2 + 3*u**2)*(3*u - 2 + 2) + 2*u**3 + 0*u**3 - 4*u**3 in the form q*u**3 + m + b*u**2 + c*u and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12636)\/243*(4\/8*1)\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a0 (base 12) in base 16?\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.871 - 4.871. Put r, 7\/3, -2\/13, -248 in ascending order.\nAnswer: -248, r, -2\/13, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 15 = 21. Suppose 4*o = 5*z + h + 16, 0 = 3*o + 4*z + 20. Solve c = 5, o = -u + 5*c - 13 - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bezkfge. What is prob of sequence ek?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4 + 4*k**3\/3 - 14*k. Find the second derivative of u(m) wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 take away -4?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 0 - (-8 + -2 + 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 41*c**2 - 92946*c + 3627921. Determine k(39).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 5. What is j(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -721693 + -49?\nAnswer: -721742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.0834 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1.88. Let q = -0.62 - y. Which is the third smallest value? (a) 0.5 (b) q (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7835 and 0.033679?\nAnswer: 0.0600664965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55\/4 of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2696 - 2664. Calculate the greatest common factor of d and 3488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 114 = -2*w + 3*d, -5*w - 56*d = -55*d - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22c365 (base 16) to base 8\nAnswer: 10541545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - r + 24. Suppose 4*n - 2 = -r. Calculate the smallest common multiple of (n - -1) + -1 + 6 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 2*j + 47 = -10*x, -3*j - 12 = 0. Solve -x = -6*n + 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 1. Let m = l - -2. Suppose -4*f + 5*d + m = 0, f - 2*d = 2*d - 2. Which is the second smallest value? (a) 1\/2 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 334 and 0.362467.\nAnswer: 121.063978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 3:10 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 = -2*o, 42 + 33 = -5*f + 5*o. Let p(w) = w**3 + 9*w**2 - 14*w - 5. Calculate p(f).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 5*m + 4*m)*(8*m - 12*m - 11*m)*(-11 + 2 - 2) in the form s*m**2 + c*m + u and give s.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -38, -639 in decreasing order.\nAnswer: -3, -4, -38, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 2388*d + 33629. Calculate s(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*u + 33*u - 132*u)*(-3*u**2 + u**2 + u**2)*(6 + u + 2 - 5).\nAnswer: 131*u**4 + 393*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**3 + 0*r**2 - r**2 + 7 + 4*r**3 + 10*r**3 to q + f*r**2 + o*r**3 + u*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**2 - 3080*z + 85956 = 0?\nAnswer: 29, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - 4.4. Which is smaller: 38 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902880 = -131*v - 13*v. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/3))**(-27)*(h**1)**43*h\/h**(-1\/4)*h*h*h\/(h\/(h*h\/((h*h\/h**(-3\/7)*h*h)\/h)))*(h*(h\/h**(-8))\/h*h)\/h**(-4\/3) assuming h is positive.\nAnswer: h**(1693\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5501 + 5505. Solve -w + 3*j + 2*j - 23 = 0, -b*j + 19 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.064 - -33. Let w = -0.036 + z. Let x = 6.4 - 6. Which is the closest to w? (a) x (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(5) + sqrt(80))**2.\nAnswer: -40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/4*3\/36*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2278, -1737, -1196, -655, -114, 427?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 9922*l**2 - 59350*l - 545050.\nAnswer: -2*(l - 4955)*(l - 11)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4010324, 4010354, 4010384, 4010414, 4010444, 4010474?\n\"Answer: 30*m + 4010294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 106\/14)\/(9261\/(-21609))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -204034?\nAnswer: -204055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 1213738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.54 plus 837.686483?\nAnswer: 1098.226483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 140\/42 + (-2)\/(-3). Let v(r) = r - 8. Let s be v(6). What is the tens digit of s*q\/(32\/(-156))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3390 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54533170 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3 = 2*j, 0*j - 1 = 2*n + j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, b: 4, v: 1, w: 3, z: 4}. Give prob of sequence bzz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -21. Let b(w) = w**2 - 4*w - 6*w + u*w. Let p(x) = -2*x**2. Calculate b(p(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**2 - 1. Let m(g) = -6*g - 10. Let d be m(-5). Let h(k) = -22*k + d*k + 10*k. Give n(h(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 17 (b) -2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 + 14*p**2\/3 + 4*p.\nAnswer: -2*p*(p - 3)*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/147 and 59\/12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 77*y**2 - 2*y - 14. Let f be -3 + 3 + -3 + -34 + 1. Let a = f - -41. Is l(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-2)\/198*-6). Let w be (-2)\/4 - (-2)\/4. Suppose w*r + v - 2 = -r, 10 = 2*r - 4*v. What is the greatest common factor of u and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6827.08558 + 6827. Let k = 0.0718 + l. Let w = 0.013 + k. Round w to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7596 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91554 or 91539?\nAnswer: 91539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*i - 12, 2*i = 14766*v - 14777*v + 33 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4\/40 + (-5)\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -c - 5, -4*k - 5 = -3*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 430 - 429.9999708. Round h to 7 dps.\nAnswer: 0.0000292","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 755033577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (2 - 40)) + 0. Suppose 6*q - i = 2*q. Let v(j) = j**2 - 8*j - 10. Let g be v(q). Solve -n + g = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 - 26*a + 178 - 171*a.\nAnswer: -197*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.5 (b) 0.4 (c) 1\/6 (d) -1417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 850115789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48162641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(((-936)\/(-12636))\/((-28)\/9))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 - -6 - (-80)\/18 and 5\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 73758\/(-35910) + (1 - (-24)\/(-27))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -119002, -118537, -118072, -117607?\n\"Answer: 465*b - 119467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 482018?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 7, k: 2, e: 4, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-2645)\/69)*2100\/875.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -5*r**3\/3 + 5. Let l(j) = -3*j**2. What is s(l(c))?\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -24*3*10\/9. Let k be c\/(2\/2750*1). What is k rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3252 and 2710.\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/14*(224\/(-252))\/(2\/(-3)). Put q, 0, 1, -4, -7 in decreasing order.\nAnswer: 1, 0, -4, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*1\/(-4))\/2. Let q be -1*j*2*3\/(-24). Solve 15 = -3*h - q*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, b: 4, j: 11}. Give prob of picking 3 j and 1 b.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o - 5*q = 0, -2*q + 16 = 4*o. Suppose 0 = -4*b - 2*v + 20, -o*v + 2 + 3 = -5*b. Let d = 86 + -84. Solve b*a + d*a = -20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0) + 0\/3. Suppose t = 2*x - 8. Suppose 0 = -i - 5*g - 21, -3*i + 0*g + 1 = -g. Put i, 4, x in increasing order.\nAnswer: i, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*k - 1887, 3*q - 2*q = -3*k - 493. Let c = q + 518. Calculate the highest common divisor of 360 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -71*s + 428. What is the remainder when c(6) is divided by (-1 + 2)\/(3\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, o: 6, y: 3}. Give prob of picking 1 y and 2 o.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 + -12 + -2 - -5) - 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*a + 2*t, 2*a = t + 70 - 16. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/6 and (3 - 5)\/((-72)\/302).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/11 and 35\/40689.\nAnswer: 40689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)\/w)\/(w\/(w*w*w\/w**(-5\/4))))\/(w**(-2\/13)\/w**(-2\/5)) assuming w is positive.\nAnswer: w**(-1299\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 + -151. Let k be s + (5\/(-15) - (-236)\/6). What is the highest common divisor of k and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/77 and -47\/175.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z + 2. Calculate the remainder when (-48)\/z*(-4)\/3 is divided by 12 + 2 - (-4 - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*n - 11 = 0, 2*n + 6 = -3*c - 7. Let a be 4 + 0 + (-3 - c). Is (-15575)\/(-150) - a\/(-12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -39*y**3 - 15 + 21*y**3 + 17*y**3 + 5*y**2 + 9*y - 20. Let k be r(5). Calculate the highest common factor of k and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0*g**3 + 0*g**3)*(239 + 2*g**2 - g**2 - 232).\nAnswer: g**5 + 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 58 = -7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (152\/12)\/(3\/((-27)\/6)). Let i = 24 + d. Let j(p) = -p - 8. Let l be j(-5). Sort 0, l, i in descending order.\nAnswer: i, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 0*x - x + 0*x - 2 = -5*x, -20*x - 127 = -10*b - 19*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5633 + -84431\/15. Find the common denominator of f and -53\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0, -3\/302, 2?\nAnswer: -3\/302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 5*w + 5*w - 11*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 32*f - 10 as n + o*f and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 7 = -3*p - v, -3*v = 8*p - 17. Solve -4*o = -4, 0 = 5*a - 4*o + 15 + p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5 - 48*t**4 + 207*t**3 + 42*t**2 - 1176*t = 0?\nAnswer: -2, 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5 + 15 = 2*y, -2*y - 5*x = 25. Solve y = -g + 4*b + 11, 3 = b + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 0.17. Let g = -0.28 + z. What is the third biggest value in g, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j + y - 489, 2*j - 509 = -5*y. Let o = -130 + j. Calculate the highest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, -2, -4, 5, -22.\nAnswer: -22, -4, -3, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 222?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 7*s = -s - 2 + 44, 2*s = 3*a - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + -1.4. Let d = 19.3 + -17. Let y = d + -5.3. What is the smallest value in -3\/7, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 88195*j + 88171*j + 0*j**2 - 1. What is d(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1595920857?\nAnswer: 3, 61, 157, 55547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1560 and 14885.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55818 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + x - 3. Suppose 3*u = -80 + 71. Let t(k) = 5*k**3 + k**2 - 3*k + 7. Calculate u*t(n) - 7*l(n).\nAnswer: -n**3 - 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 4:49 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8 = 2*f, 221*l - 220*l + 1 = 3*f. Determine u so that 0*u - 1\/3*u**4 + u**3 - 2\/3*u**l + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -285*n + 695. Give g(2).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662 divided by 16.\nAnswer: -331\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**2 - a**2 - 3*a**2 to the form y*a + c*a**2 + n and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m**2 + 0*m**2 + 5*m**2)*(7*m + 18*m - 3*m) + 0*m**3 - m**3 - m**3 to b + y*m**3 + s*m**2 + k*m and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5334914 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 144063877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 36 = 3*m. Let c(k) = 8*k + 74. Let n be c(-10). Let w(g) = g**2 - 9*g - 27. Let a be w(n). Calculate the highest common divisor of m and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3 = -4*m, 8*u - 4*u = m - 15. Solve 10 = m*s + 4, -3*s + 15 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*s - 7*s**2 - 1 - 50*s - 15*s**2 - 12*s**2 + 4*s**2 + (-2*s + 5 - 5)*(7*s - 3*s + 2*s) in the form b*s + y + i*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 6075*u**3\/4 - 42795*u**2\/2 + 1893*u - 42 = 0. Calculate u.\nAnswer: 2\/45, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -159*(-28)\/(-84)*(-1 + 2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 9*a + 41. Let t be 5 - (-19 + 5)\/2. Let i be p(t). What is the biggest value in i, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/4)\/(1\/(-4)). Let s(z) = -z**2 + 11*z + 4. Let p be s(9). Suppose 0 = q - p - a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*r - 90, 0 = 4*y + 3*r - 95 - 112. What is the remainder when 86 - (0 - 1 - -1) is divided by y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 4 = -10*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 13 = -2*n, 2*d + 0*n + 4 = -2*n. Let z be 1*d*(-2 - 0). Suppose 0 = -3*l + 15 - z. Solve l*t = 4*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 4*s**2 + 2*s + 9. Calculate c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/11 (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**2 - 2*d + 18*d**2 - 1 - 5*d**2 to the form f*d + v*d**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose -5*j - 5 = -4*r, 10 = -v*r - 0. What are the prime factors of 15 + j + 2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/88)\/(14\/(154\/33))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196, -845, -1946, -3499, -5504, -7961, -10870?\n\"Answer: -226*w**2 + 29*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3699666?\nAnswer: 2, 3, 205537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**2 + 694*k + 24500. Let b(y) = 9*y**2 + 696*y + 24500. Let s(x) = 3*b(x) - 2*p(x). Factor s(v).\nAnswer: 5*(v + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 41. Suppose w - 8 = -12*i. Let f(q) = -5*q**3 + 8*q**2 + 5*q - 3. Is f(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**14*f\/f**(-5)*f)\/(f\/(f\/f**2*f))**(-2\/5) assuming f is positive.\nAnswer: f**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371\/4 - -373\/4. What is the closest to h in -16, 1\/6, 1\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = q. Let d be (-10 - -11)\/((-2)\/(-18)). Suppose 0 = -w + 4*l, 8*l - 5*l = 3*w - d. Solve -w*m + 3*j = 0, -q*j = 2*m - m - 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 4:01 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92041*m**3 + 184095*m**3 - 92053*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3884 divide 339686872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(((n\/n**(3\/8))\/n)\/n*n)*n)**(1\/51)\/(n**(1\/7))**(-30) assuming n is positive.\nAnswer: n**(12485\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10035 * 1754.\nAnswer: 17601390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3872, 7740, 11610, 15482?\nAnswer: 19356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + -9)\/(-7) - -441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 230 = -2634*m + 2628*m, -2*m = -5*o + 98 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 - 2*t**2 + 6*t + 606. Calculate n(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6899 and 3387409.\nAnswer: 3387409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let v = -4\/57 - 34\/57. Let l(s) = s**3 + s**2 - s - 35. Let i be l(3). Which is the closest to v? (a) i (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/396*2055\/(-9590)?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/9373440 and -143\/168.\nAnswer: 65614080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158478687.\nAnswer: 3, 1956527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 + 180. Let h(z) = 2. Let f(w) = w - 1. Let x(g) = 2*f(g) + h(g). What is x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -377 + 222. Let w = 155.436 + z. Let a = 0.4 - w. What is a rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8.081, 5, 4.3, -5?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4 - -1) + 42 + -43\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 3*s**2 + 2*s + 2. Suppose 5*x + 0*x + o - 5 = 0, 5*x = -5*o - 15. Let r be a(x). Suppose -3*u = 3*u + 19*u. Solve u = -r*g - 3 - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222\/23 + 467\/46. What is the third smallest value in z, -3, -2\/883, -5?\nAnswer: -2\/883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**2 - 5*x - 3 + 3*x**2 + 0 + 2*x**2. Let g be l(-4). Solve 0*s = 5*v - s + g, 0 = -4*v - 3*s + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, e: 3, q: 5, b: 2, f: 3}. What is prob of sequence bee?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-732)\/(-26474))\/(6\/14)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*d**2 - 285*d**2 + 73*d**2)*(0*d**2 + 2*d**2 - 3*d**2).\nAnswer: 169*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -784 + 1429. Suppose 0 = 4*r + 12, -b = 3*r - z - 321. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let z = o - 0.7. Let k = 1.38 - 0.88. Put 0.4, k, z in descending order.\nAnswer: k, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36008 + 9524 = 2207*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113840 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -10. Let i be ((-24)\/20)\/(q\/5). Suppose 2*j + v - 47 = 19, -i*j = 4*v - 94. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997628?\nAnswer: 2, 17, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 8*b**2 + 13*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:39 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(4\/(-12)*1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + 10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1906*i**3 - 126*i**3 + 629*i**3.\nAnswer: 2409*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 114?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24415319473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-24)*(9\/(-21))\/1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + m + 2 - 37*m - 44*m + 64*m + 0 - m + 0 + (-1 + 2 + 0)*(0*m + 2*m + 0*m) + 0 + 0 - 3*m - m - m + 3*m + (-3 + 7 - 3)*(-2*m + 0*m + 0*m) - 1 - m + 1.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3) + (-132)\/(-18) + -9. Put -95, x, 3 in ascending order.\nAnswer: -95, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/2 (c) 8913\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -74620315?\nAnswer: -74620313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93566698 to the power of 1\/2, to the nearest integer?\nAnswer: 9673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*q = -3, 0*m - 10 - 11 = 3*m + 5*q - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.783538 millennia in centuries?\nAnswer: 27.83538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140.669 millilitres to litres.\nAnswer: 0.140669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-9)\/(-18) + 3 + -2). Let z = -0.143 - 4.857. Which is the nearest to r? (a) 2\/13 (b) z (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946531 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -2.2. Let y = 0.4 + -0.35. Let t = y - 0.05. Is t < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, 0.04, 0.4, 14, -2\/11 in decreasing order.\nAnswer: 14, 0.4, 0.16, 0.04, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-2))\/(2\/2). Let k(y) = y**2 - 3*y + 3. Let v be k(n). Suppose -2*h = v*h - 110. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 77ec + 9a7?\nAnswer: 82a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -17*m**2 + 10*m + 7. Let l(a) be the second derivative of -11*a**4\/12 + 7*a**3\/6 + 5*a**2\/2 + 153*a - 1. Give 7*l(g) - 5*o(g).\nAnswer: 8*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/33)\/(8\/(-49)) and -49\/3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 8 = -2*f, -o + 14932 = -10*f + 14972 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6840986 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-22) + (-350)\/616. Sort -2, y, 5 in ascending order.\nAnswer: -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fafaffa. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 942195533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -8269\/5302?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1247 * 0.06.\nAnswer: -74.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 44*r + 11. Let n(h) = -89*h - 22. Determine 9*c(q) + 4*n(q).\nAnswer: 40*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z + 294 = n, 5*n + 3*z = 1470. Let v = n - -251. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -3\/2, -136, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37, 551, 1167?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791*s = 2*p - 789*s - 16, -p + 62 = 19*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 9*b + 14. Let c be u(9). Let v(x) = -x**2 + 15*x - 10. Let r be v(c). Solve -r*n - 2 = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:29 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/143)\/1*-13)\/(6\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*b + 25, b - 41*d + 5 = -42*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwp when three letters picked without replacement from qpiqlpiqiqowq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -665 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12315?\nAnswer: 3, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2884 = 2*c - 6*q - 1088, 4*c = -2*q + 7846. Which is greater: c or 1967?\nAnswer: 1967","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*n**3 - 2*n**2 - 343 - 79*n**3 + 147*n**3 - 4*n in the form g + w*n**3 + s*n + u*n**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -87*f**2 - 58*f - 30557 + 30557. Let w(q) = -q**2 - q. Give -u(a) + 58*w(a).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77887.82 decades in millennia?\nAnswer: 778.8782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17*207\/(-1530)*10\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27744 (base 12) to base 8\nAnswer: -152544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 836 - 2485\/3. Calculate the common denominator of d and 5\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 448 + 1820 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -272854*g - 206218?\nAnswer: -272854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000123293176 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4)*((-85*s - 1714 + 1714)*(s**3 - 1 + 1) + 13*s**4 - 26*s**4 - 4*s**4) to the form o*s + w*s**3 + p*s**2 + a + x*s**4 and give x.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/2409 and 40\/657.\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -105752 and -105752 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3317 + -1593. Let c be (-6)\/(-15) + 2\/(-5). Suppose c = -3*i - b + u, -4*i - 2*b = 3*b - 2317. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 655137, 655126, 655115, 655104?\n\"Answer: -11*p + 655148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.013, 5, -5, 1542, -1\/3 in descending order.\nAnswer: 1542, 5, -0.013, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-3*3)\/(sqrt(44)\/(-1*sqrt(44)\/sqrt(4))).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = -7, d = y + 43. Let o = y - -45. Suppose o*g - 3*g - 458 = -4*c, -5*c = 3*g - 574. Calculate the greatest common factor of c and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 15, -5*t = -4*a + 173. Let j = a + -43. Suppose -j + 2 = -h. Let w(n) = 2*n**3 + 2*n. Let i(m) = 4*m**3 + 5*m. Give h*i(k) - 5*w(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 2*h**2 + 3*h - 1. Let p be i(2). Suppose -5*m + 117 = 3*x, 5*x + p*m - 126 = 59. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10553 - -10556. Solve -24 = -3*h - c*o, 5*h - 17*o + 12*o = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:07 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404851103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1182\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 7, k: 3}. Give prob of picking 1 k, 1 i, and 2 r.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 y, and 1 j when three letters picked without replacement from jhyaajyajuhoouj.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, u: 2, n: 4, s: 2, p: 8}. Give prob of picking 1 p, 2 u, and 1 n.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/225 + 46800\/1875?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -71*m**7\/7 - 26*m**3 - 94. Find the third derivative of y(w) wrt w.\nAnswer: -8520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 1\/27*g**5 + 0 + 0*g + 18*g**2 + 1\/9*g**4 + 0*g**3 - 1\/270*g**6. Factor t(q).\nAnswer: -4*q*(q - 6)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 0*x - 15 + 1\/3*x**3 + 121\/30*x**5 + 11\/6*x**4 + 9\/2*x**2. Let k(n) be the second derivative of d(n). Solve k(t) = 0 for t.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2102 by 4982.\nAnswer: 1051\/2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4 + (-1 - 8 + 3)*(-3 + 3 - 3))*(-2 - n + 2).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23126419?\nAnswer: 41, 564059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -141*f - 218. Which is the closest to f? (a) 4 (b) -1 (c) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k. Suppose k = 2*b - 0*b - 240. Suppose b = w + 2*w. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 26 + 12 = 0. Suppose -m + 6 = -v, -2*m + 21 - 75 = 4*v. What is the remainder when v + 68 - ((-2)\/(-1))\/2 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -23*k + 326. What is d(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1922316 (base 13) in base 2?\nAnswer: -11111011001011001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99601946?\nAnswer: 2, 17, 31, 53, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/20)\/((-3)\/(-10)). Let g = 166 - 168. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*14\/7. Let a(w) = -w. Let z(o) = -52*o + 1. Let l(p) = 2*a(p) + z(p). Is l(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:21 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551203.\nAnswer: 29, 83, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17460.3821 rounded to the nearest 10?\nAnswer: -17460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4031370, -4031367, -4031364, -4031361, -4031358, -4031355?\nAnswer: -4031352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p + 147*p + 1104 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13249394, -13249384, -13249368, -13249346?\nAnswer: -13249318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 10*l**2 - l + 2600. Let a(d) = 3*d**3 + 7*d**2 + 2*d - 2600. Let q(m) = -12*a(m) - 10*c(m). Differentiate q(k) with respect to k.\nAnswer: 12*k**2 + 32*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1704 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.8 + 9. Let u = i - -0.72. Let w = 0.086 + u. Round w to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2 + 1 + d - 2. Suppose 7 = 2*r - 3. Determine b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 35. Let p(m) = -7*m + m + 7*m + i*m. Let f(b) = 2*b - 19. Calculate f(p(c)).\nAnswer: 2*c - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 163 = -15 - 93 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a day?\nAnswer: 5520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5346 + -3368. Let d = -1978.000003666 + z. Round d to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38164.03 rounded to the nearest ten?\nAnswer: -38160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5, 3*v + 145 = 9*l - 4*l. Solve 31*f - l*f = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*b**3 - 124*b**2 + 103*b\/4 - 3\/2.\nAnswer: (7*b - 6)*(8*b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 982057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 1805*w**2 - 74480*w + 768320 = 0.\nAnswer: 392\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.307145656 rounded to five dps?\nAnswer: 0.30715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10618.23031 - 10617.6. Round r to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*56\/(52080\/(-31))*(1*-15)\/(-3)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1080 and 2680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9497865381 to the power of 1\/2, to the nearest integer?\nAnswer: 97457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 2*v + 1. Let r be y(-3). Suppose 0 = p - 2*p - r. Let k be (-2)\/(-5)*3\/2. Which is the third smallest value? (a) p (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1.5, 0.5, 0.4, -2559?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 10:29 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-20) + (-23)\/(-5). Suppose -y = -4*k + 3*y - 12, n*k = -5*y + 35. What is the second derivative of -k*o**5 + o**5 + 6*o**3 - 6*o**3 - 3*o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l**2\/3 + 4*l\/3 = 0. What is l?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r**3 + r**2 - 5*r + 2. Let t(v) = -6*v**3 - v**2 + 3*v - 1. Determine 5*t(j) + 3*y(j).\nAnswer: 3*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 60463813?\nAnswer: 120927626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56532 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163901562 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -210?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947462215.\nAnswer: 5, 7, 43, 179, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57144?\nAnswer: 2, 3, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 14*x**5\/5 + 5*x**3\/3 + 15. Find the third derivative of g(r) wrt r.\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 1 (b) -3\/4 (c) 851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4 - 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 (base 9) in base 14?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 89922.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 52. Let j(h) be the third derivative of h**7\/5040 - h**5\/15 + 2*h**2 - 7. Let d(a) be the third derivative of j(a). Determine d(r(g)).\nAnswer: -2*g - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17549 and 25277?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q**3 - 6*q**2 + 6. Let m be (0 - 0)\/(-1) - -2. Let o(z) = -2*z**3 + z**2 - 1. What is m*i(s) + 11*o(s)?\nAnswer: -2*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t - 8. Let d = -150 - -174. Calculate the highest common factor of d and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -25. Let u = s + -36. Solve 3*n = -u*l + l - 6, 3*l = 2*n - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644583.4um in millimeters?\nAnswer: 644.5834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*k - v, -3*k + 37 - 4 = 5*v. Let r(q) = k*q - 26*q - q. Let t(o) = -o. Give r(t(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 + 3*l**2 - 4*l.\nAnswer: -l*(l - 2)**2*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -79529, -9, 1, 0, 5, 3.\nAnswer: -79529, -9, 0, 1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**7\/75 + g**6\/150 - 7*g**5\/150 - g**4\/30 + 9*g**2. Let x(f) = 0. Calculate f.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32967 + 33002 = -1920*a - 32095 - 97776 for a.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-3) - (0 - 0). Let g be (-1)\/(-3 - 16\/(-6)). What is the derivative of 2 - k**4 + a*k**4 - g wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -565 or -7893\/14?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4 - (-6)\/4. Let p be 3 + (2 - 3) + g. Which is the second smallest value? (a) 3 (b) 1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 9*m**2 - 7*m + 7. Let w be j(-8). Let u be 2 - 1 - -1 - w. What is the nearest to 2\/3 in -3\/4, u, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69566231.\nAnswer: 7, 202817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36\/14)\/((-772)\/2702)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8220 + 13623. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 - 2*h - 3. Suppose 4*y - 2 + 26 = 4*v, -4*v + 15 = 5*y. Let s be 2\/(y - 14\/(-2))*-6. Determine l(s).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.71687m in nanometers?\nAnswer: 47716870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(0 + sqrt(17) + sqrt(17)) + sqrt(187)\/(sqrt(11)*2))*-3 + (((sqrt(119) + (sqrt(119) - 1*sqrt(119)))*6)\/(sqrt(7) + sqrt(140)\/sqrt(5)))**2.\nAnswer: -63*sqrt(17)\/2 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.6 and 0.37298.\nAnswer: 1.97298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (246\/(-41))\/(2\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 + -22 - (-53 + 62 - (-2 - 2)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 120*r - 111*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:22 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:50 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444720 and 57552?\nAnswer: 4891920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:18 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 134 + -156 + (-10 - -75)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u - 3. Let i(f) = 3*f + 2. Let c(w) = 5*i(w) + 3*r(w). Suppose 3*p - 2*p + 15 = 0. Let x(o) = -o - 14. Let n be x(p). What is c(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyds when four letters picked without replacement from sdldlyillddyyd.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 2*f + 2*f)*(3*f + f - 2*f) + f**4 + 0*f**3 + 0*f**3 + 6*f + 4*f**4 - 3*f**4 - 5*f.\nAnswer: -2*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 84*b**2 + 4*b + 79*b**2)*(-5 + 2*b + 5) + (-2*b**2 - 2*b**2 + 3*b**2)*(6*b - 37 + 37) + (0 + 0 + 4*b)*(2*b**2 + 2*b**2 - b**2).\nAnswer: -4*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**3*p**2 - 1996*f**3 + 990*f**2*p**2 wrt p.\nAnswer: -8*f**3*p + 1980*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(504)*2)\/((sqrt(8) - sqrt(8)*-2*-2) + sqrt(8)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -2\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:19 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3423, 4, -3, 50 in descending order.\nAnswer: 3423, 50, 4, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**2*r*u - 2*p**2*u*v**3 + 76*p**2*u - p**2*v**2 - 27*p*r*u*v**2 - p*r*v**3 - 3*u*v**3 - u*v**2 wrt r?\nAnswer: p**2*u - 27*p*u*v**2 - p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = -2*m. Let k be ((-3)\/m)\/((-1)\/23). Let f = 5 - k. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 60 = 23*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 52?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4041 - -4050) + (0 - -1) + (-38 - 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*-6*sqrt(19)*-2 + 1 + (-5 + sqrt(57)\/sqrt(3) - sqrt(19) - (2 + sqrt(19) + 1)) + 1 + 2.\nAnswer: -25*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**6 - 103*s**5 - 6904*s**2?\nAnswer: -600*s**3 - 6180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -34859.615 to the nearest ten.\nAnswer: -34860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.46*0.24.\nAnswer: -6.5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 527*w - 3165. Let o be b(6). Put -15, o, 3.4, -0.1, 2\/9 in descending order.\nAnswer: 3.4, 2\/9, -0.1, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474 by 3.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - z - 2. Suppose -6*g + 4 = -7*g. Let i = 31 + -19. What is the remainder when x(g) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxe when three letters picked without replacement from {h: 1, x: 3, j: 6, y: 5, c: 3, e: 1}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -31*i**3 + 7*i**2 + i - 8. Determine n(-2).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 + -343. Let m = v - -213.105. Round m to 2 decimal places.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n - n**2 - 23*n + 38*n - 162.\nAnswer: -n**2 + 59*n - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0 + 39*n + n**2 + 2\/3*n**3. Let l be h(0). Solve 0 = c - l*b + 6 - 1, -c + b = 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(210\/12))\/((-12)\/(-210)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -154989, -155063, -155147, -155247, -155369?\n\"Answer: -k**3 + k**2 - 70*k - 154919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -12, 2 in ascending order.\nAnswer: -12, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 36)*40\/240\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -38.86. Let t = c - 39. Let x be 3\/(-7) + -1 + (-8)\/(-6). What is the biggest value in x, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 g, and 1 x when four letters picked without replacement from wgwgggwgwgwwgggux?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 8, u + 0*u - 4 = -4*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-8)\/30) + 10\/5. Calculate the highest common factor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5370 = -2*h, -x + 326 = -h - 1469. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011101 - 1000100100?\nAnswer: -11001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**3 - 7*v**2 - v - 10. Let y(z) = -12*z**3 + 11*z**2 + z + 17. Let l(b) = 5*p(b) + 3*y(b). Let w(c) = c**3 + c**2 + c. Determine -2*l(q) - 4*w(q).\nAnswer: 8*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*x**2 + 30*x**2 - 189*x**2 to the form q*x**2 + o*x + k and give q.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*o + 49 - 10, 4*d + 45 = 5*o. Let u be (-1)\/(2 + d\/9). Put 2, u, -2 in ascending order.\nAnswer: u, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/15)\/(1\/6). Suppose 3*u - 14 = -5*h, 0 = 2*h + r*h - 4. Suppose -5*t + 60 = -u*t. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 23*u + 153. Calculate x(0).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*d = -235*d - 3, -4*b = 4*d - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than 1784?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/2329 and 10\/13.\nAnswer: 30277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -126 + 2*k - 134 + 258. Suppose -2*h + 1 = 3*t, -16 + 12 = h. Let o(d) = -4 + 2*d + 1 + 2. Give t*v(w) - 4*o(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 115\/7?\nAnswer: 115\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 2625*h - 13*h**2 + 2625*h.\nAnswer: -13*h**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvc when four letters picked without replacement from {m: 1, c: 6, v: 10}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-2\/7))**(9\/2)\/(((s**(-3)*s)\/s)\/s**(-6)))\/((s\/s**0)\/(s*s\/(s\/(s\/(s*s**7)*s)*s))*s**3*s*s*s**(-3)) assuming s is positive.\nAnswer: s**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btjhbsk. Give prob of picking 1 j and 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*c + 4, 3*c + r - 4 = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*b + 1 - 5, -3 = 3*r + b. Is r*21*(-133)\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 151. Let s = v - 152. Which is smaller: s or -86?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11*q + 109. Let w(t) = -14*t + 110. Calculate 4*u(h) - 3*w(h).\nAnswer: -2*h + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = 12, -3*l - 11*f = -12*f - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 719 - 386 = -593 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 633, 1265, 1897, 2529, 3161, 3793?\n\"Answer: 632*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10506?\nAnswer: 2, 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from jjikijlsljsikjjjjjk.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*z - 189 + 478, -3*z - p = -293. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -dae7?\nAnswer: -dae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/19 - 258*x**2\/19 + 1494*x\/19 - 2214\/19.\nAnswer: 2*(x - 123)*(x - 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -4, -171, -63 in ascending order.\nAnswer: -171, -63, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40968000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1891.4 + -2051.4. Which is greater: -13 or t?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l. Let z(g) = 2153*g - 30. Calculate z(t(q)).\nAnswer: 21530*q - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -169 - -bd?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 12. Let u be q(6). Suppose 2*b = 5*b - u. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-8\/9))\/y**(-1\/15))\/(y**(1\/6))**30 assuming y is positive.\nAnswer: y**(-137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1647 by 549.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 5. Let d(s) = -s**3 - 2*s**2 + 6*s + 5. Let w be d(-3). Let a(r) = 3*r + 4. Let j(m) = w*i(m) - 5*a(m). Let b(q) = 5*q**2. Determine b(j(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/8 (b) -168 (c) -3\/4 (d) 0.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 1, 5.\nAnswer: -4, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -410, 1, -20, -3 in decreasing order.\nAnswer: 10, 1, -3, -20, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxtytyytt. What is prob of picking 1 t and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11322 by 333.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from mohmnmnzzhnzoozo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 1*-2 + 0. Suppose -4*t + 16 = 0, -5*t - 5 = -5*k - 0*t. Factor -5*n**2 + j*n + k - 5 - 7*n**3.\nAnswer: -n*(n + 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1063902, -1063480, -1063056, -1062630, -1062202, -1061772?\n\"Answer: z**2 + 419*z - 1064322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 33 + -39 - (-2 - 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q**4 - q)*(-7689 - 14841 + 14203).\nAnswer: -16654*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-338)\/(-12) - 6\/36. Suppose 0*t - t + i = 0. What is the greatest common divisor of 42 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + x + 461, -6*x = -x - 5. Suppose -f + b = -152. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5*16\/(-400)*20)\/(-4*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/35)\/((-6)\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {l: 1, a: 1, t: 1, u: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -977.985440238 take away 200?\nAnswer: -1177.985440238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611274154, -611274156, -611274158?\nAnswer: -611274160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 - 5*l**4 + 0 - 2 - 2 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d + 9. What is the least common multiple of 14 and d*(4 - 3) - -14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 79478.21t?\nAnswer: 79478210000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -394 + 90093*f - 2*f**2 - 90093*f + (-1 - f + 1)*(2*f + 1 - 1) + 4 - 4 - 2*f**2 - 2*f**2 + 5*f**2 - 4*f**2.\nAnswer: -7*f**2 - 394","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68435942579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + 1 + (sqrt(99)*-3)**2.\nAnswer: sqrt(11) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 20*o**2 - 19*o - 4. Let h be k(19). Let u(z) = 17*z + 31. Let v(x) = x. Let f(g) = h*v(g) - u(g). Find the first derivative of f(w) wrt w.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.61. What is the smallest value in 4, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.1. Let i = 791 - -25. Let h = -816 + i. Which is the nearest to s? (a) -3 (b) h (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7655 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((45\/(-100))\/3)\/(24\/20)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p - 16. Suppose -3*v + 34 - 124 = 0. Let t = v - -38. What are the prime factors of a(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/7 + 5208*d**2 + 15627*d + 72930\/7 = 0. Calculate d.\nAnswer: -2, -1, 12155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u + 6. Let f(t) = -t**3 + 3*t**2 + 8*t - 9. Let h be f(u). Let l(b) = -8*b**2 + h*b**2 + 2*b**2 + 0*b**2. Let z(g) = -2*g. Determine z(l(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*n = 17055 - 18522 - 14375 for n.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1125358, -1125170, -1124982, -1124794, -1124606?\n\"Answer: 188*w - 1125546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n + 0*n = -89*n - 1488. Put 1, -4, n, -1, 5 in increasing order.\nAnswer: n, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 8*f + 5. Let v = -7 - -7. Suppose 7*w - 24 - 25 = v. What is h(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 24 = -2. What is the remainder when d is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -23*m - 2028. Let v = m + 348. List the prime factors of v.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3\/3 + n**2 - 9*n - 3. What is l(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -738 greater than -737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -74, -153, -264, -407?\n\"Answer: -16*a**2 + a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764*i**3 - 1169*i**3 - 466*i**3 - 2*i - 149*i**3.\nAnswer: -2548*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(3 - (-1044)\/(-351))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2863435g?\nAnswer: 286343.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74060 is divided by 1299?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 62. Let p(h) = h. Let k(d) = 3*p(d) - 3*x(d). What is the first derivative of k(l) wrt l?\nAnswer: -18*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus -126.599158?\nAnswer: -125.399158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j. Suppose -6*d + 2*d + 40 = j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 + 2*f + 1. Let h(d) = -d**3 + d**2 + d - 1. Give -2*h(g) + v(g).\nAnswer: 6*g**3 - 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = 15. Calculate the highest common divisor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 607*b = -352*b + 59*b + 9471 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6762 and 53354434.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7916959 to the nearest integer?\nAnswer: 2814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40668 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/((v\/(v\/(v*v**(-24\/11))))\/v)))*v)**12 assuming v is positive.\nAnswer: v**(552\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -803272.274 to the nearest ten.\nAnswer: -803270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401805650 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m**3 + 6*m**2 + 5*m + 3. Suppose 544 = -119*r - 28 - 23. Let t(i) = -7*i**3 + 5*i**2 + 4*i + 2. Calculate r*t(n) + 4*s(n).\nAnswer: 7*n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - 123*u**2 - 122*u**2 - 123*u**2 - 4*u**3 + 3*u**3 + 364*u**2 - 1 in the form q*u + s + y*u**2 + d*u**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -4*v**7\/105 - v**5\/60 + 5*v**3 + 2*v**2 - 42*v. What is the third derivative of r(g) wrt g?\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313627543 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + 3*u**3 - 3*u**3 + (0*u + 2*u**2 + 0*u)*(-2 + 2*u + 2) + (0*u - u + 0*u)*(2*u**2 - 5*u**2 + 2*u**2) - 135*u**3 + 98*u**3 - 86*u**3.\nAnswer: -117*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13323*a**2*j - 207*a**2 + 2*a*j + 3685139*j wrt a.\nAnswer: 26646*j - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 939 - 938. Let r(k) be the first derivative of 8*k + 2*k**2 - l - 4\/3*k**3. Factor r(q).\nAnswer: -4*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o*u**5 - 9*o*u**2 - 2*o - 198*u**5 + 28 wrt u?\nAnswer: 120*o*u**2 - 11880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 780942316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00522082009 rounded to 6 dps?\nAnswer: -0.005221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -6, -588 in increasing order.\nAnswer: -588, -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -5*i. Let r(h) be the third derivative of i*h**3 - 2*h**2 + 0 + 0*h + 1\/24*h**4. Let m(w) = -w. Calculate m(r(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, p: 2, h: 1, m: 1, f: 2, q: 3}. What is prob of picking 1 q, 1 p, and 1 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w. Let o(a) = -a - 5. Suppose 0*m = -m - 6. Let j be o(m). List the prime factors of u(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 15713027.48\nAnswer: -15713027.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61306093 + 61306093 - 48*w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93512 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10*5\/(-300)*26238 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -613.32 from 8947526.\nAnswer: 8948139.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + 6*y + (0 + 0 + 2)*(y + 2*y - 2*y))*(-4*y**3 - 2*y**3 + 5*y**3) - 4297*y**4 - 35*y**4 + y**2 + 918*y**4.\nAnswer: -3419*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 3233?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -157 (b) -52\/7 (c) -69 (d) -0.5 (e) -4.1 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-28)\/(-24) - 1). Let w(z) = 20*z + 81. Let m be w(x). What is the tens digit of (-1)\/3 + m\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8.5. Let m = 0 - u. Which is the third smallest value? (a) m (b) -2\/19 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n. Let c be 4 - (36\/24)\/((-18)\/(-12)). Let u(w) be the second derivative of -1\/6*w**c + 0*w**2 + 3*w + 0. What is u(r(i))?\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -1037.\nAnswer: 1036.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 335*h - 5657. Give l(17).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 180720425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 6 = 5*t. Let k be t + 1 + 8 + -3. Solve -3*z = -k*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 2. Suppose 2*v + 4*o + 24 = 0, -3*v - o = -3*o + 12. What is f(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 333424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**3 - 4*t - 2*t**3 + 2*t)*(-3 + 3 + 2*t) + 2*t**4 + 0*t**3 + 0*t**3 to i*t**4 + l + j*t + y*t**2 + k*t**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4109.3, 2 in decreasing order.\nAnswer: 3, 2, -4109.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2624258 and 7\/2236.\nAnswer: 225686188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 57825322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6, -m - 2*w - 13 - 7 = 0. What is the common denominator of -7\/22 and (86\/(-48))\/((-18)\/m)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86 times 0.4?\nAnswer: 0.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 136 in decreasing order.\nAnswer: 136, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38281804 by -870041.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2559.\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*q + 3*x - 8, 0 = -3*q - 3*x + 18. Suppose 8*w - 5*w - 120 = 0. Let p = -29 + w. Solve q*s = 5*s + 3*b + 21, p = -s - 2*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7605, -8 in ascending order.\nAnswer: -7605, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-84)*(-6)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 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: b\"What is the sth term of -36255, -72546, -108869, -145218, -181587, -217970, -254361?\n\"Answer: s**3 - 22*s**2 - 36232*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*o - 3*f, 0*f = -3*o + 4*f - 3. Suppose -5*g = -3*g + 24. What is the least common multiple of o and 1 - (-1 + (g - 0)) - 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00085841304 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 111210210012110011?\nAnswer: -111210210012110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 530496144 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2179d5 (base 14) in base 3?\nAnswer: -2010200020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1552664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 4*m + 9*m to n*m + s and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a factor of 107237643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-519*z + 123*z - 74*z)*(0*z**2 + z**2 + 0*z**2).\nAnswer: -470*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 443, 586, 727?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23276, -46551, -69828, -93107?\n\"Answer: -t**2 - 23272*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16541844.\nAnswer: 2, 3, 11, 113, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f. Let k(m) = 2*m**2 + m**2 - 5*m**2 - m. Let y = 418 + -424. Let i(o) = -o**2 - o. Let w(a) = y*k(a) + 6*i(a). Determine w(b(v)).\nAnswer: 726*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:44 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c + 12. Differentiate 0 + 4 - 3*w + 5*w + c*w with respect to w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 0.223064871036.\nAnswer: 6.223064871036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12220100221 - 10?\nAnswer: 12220100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 7. Let d be t(-11). Sort d, 1, 0 in decreasing order.\nAnswer: 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -0.12, -0.2, -126, -60?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let p(x) = -300698313*x. Give p(k(d)).\nAnswer: -601396626*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -630 + 627. Let d be (-8)\/72 - ((-308)\/18 + y). Solve -2*m + 5*o = -5, 5*o + d = -0*m - m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/2 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3135090 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211 - 58. Calculate the highest common factor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v**3 - 84*v**2 + 9*v - 7. What is r(7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - o = 3*c - 12, -24 = -3*c + 3*o. Sort 2\/3, 1\/7, 29, c in decreasing order.\nAnswer: 29, c, 2\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 20, -3*q - 3*u + u = -35. Suppose -770 = -f + q*f. Let a = -1 - f. What is the remainder when a is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 2)*(-5 + 5 - j) + (14 + 0 - 69)*(3*j - j - 4*j).\nAnswer: 118*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.7 + 12. Let k = -20 - -21. What is the nearest to 2 in l, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**4\/24 - f**3\/2 - f**2. Let q(r) be the first derivative of r**2\/2 - r - 1. What is -2*q(o) + x(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1322 - -3?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 101010?\nAnswer: 101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 10:51 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61355684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 17*r**2 - 221*r - 11. Let t(a) = -a**2 - 4. Let q(o) = -3*t(o) + z(o). What is the second derivative of q(g) wrt g?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r + 5*g - 1, g = r - 6. Solve -2 = 2*d + x - r, 5*d + 3*x = 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**2 - a - 4. Let s(c) = -236*c**2 + 103*c**2 + 139*c**2 + 1 + 1. Give -3*k(m) - 5*s(m).\nAnswer: 3*m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73.28352l?\nAnswer: 73283.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156461 + 156461 - 1094*q)*(-3 + 7 - 3) to r + c*q and give c.\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + 5 + sqrt(2448)*1)**2 + (-3 + sqrt(2448) + -4 + 0 + sqrt(2448) + sqrt(2448) + -5 + sqrt(2448))**2.\nAnswer: -1152*sqrt(17) + 41755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4 + -205980?\nAnswer: -206002.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 696 and 33250?\nAnswer: 32554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/9 - 118*m**4\/9 + 1142*m**3\/9 + 1910*m**2 + 6528*m + 6936.\nAnswer: 2*(m - 34)**2*(m + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 10*n**2 + 14*n + 40. Let k be x(9). Let h be 28*k\/(-2)*4\/(-8). Calculate the highest common factor of h and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -563, -5, -2\/3, -3\/8, 0.1?\nAnswer: -563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - (-26)\/6. Let p be 6\/(-15) - 2\/k. Suppose 3*r = 2*r + 3. Put p, r, -2\/5 in decreasing order.\nAnswer: r, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/3 - 2\/6. Let h(l) be the third derivative of 0*l + 5\/24*l**4 + 2*l**2 + 0 + 1\/60*l**5 + 1\/3*l**3. Give h(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -4 (c) -0.4 (d) 2\/13 (e) -8\/3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.051 and -194.76156.\nAnswer: 9.93283956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -91. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-10) - (-117)\/45. Suppose l = -3, -18*y - 3*l = -14*y - 3. Let k(g) = -g**3 - 3*g**2 + 4*g - 2. Let o be k(-4). Sort o, y, n.\nAnswer: o, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5863\/6 or 978?\nAnswer: 978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (97 - 44) - (3 + -6 - 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666141.596 seconds in weeks?\nAnswer: 2.75486375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - ((-1 - 15) + 1). Let d(z) = -23*z + 13*z + c*z. Let n(m) = -2*m. Give n(d(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 + -5 + 179 + 5 is divided by 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 333 = j - 61 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 371954\/9 + -41328. Sort 9\/4, -7, d, -2\/9.\nAnswer: -7, -2\/9, d, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(-4*(-3 + sqrt(1584)) + sqrt(1584) + -5*sqrt(1584)*-3))**2.\nAnswer: 221184*sqrt(11) + 14607360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 230\/3*p**2 + 2\/3*p**3 + 6496\/3*p - 6728\/3 = 0. Calculate p.\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 p when three letters picked without replacement from saspsappsspaaa.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2956*d**4 - 1778080 with respect to d.\nAnswer: -11824*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/(-18))\/((-2)\/3). Suppose -6*a = -a - m*a. Suppose 3*k = 0, -4*k - 30800 = 4*x - a*k. Round x to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:24 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 32. Solve -x*w + 0*w = -2*k - 10, k + 4*w - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1151.99 - -1163. Let f = -11.5 + x. Let p = f + 0.47. What is the closest to p in -2\/5, 3\/7, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1820300 and 668.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*t - 4. What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37*(9 - 0)*(8148\/126)\/194?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-8)*p*p**5*((p\/((p*(p*(p*p**(-6))\/p)\/p)\/p))\/p)\/(p**(-2\/11)\/p)*((p*p**5)\/p**(3\/4))\/(p**(-2\/9)\/(p**(1\/2)*p)) assuming p is positive.\nAnswer: p**(11545\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2977.\nAnswer: 1\/2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 i when four letters picked without replacement from iiiififflllll?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - (-9 - (-7 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 37435.5324 seconds?\nAnswer: 0.061897375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -5863.92.\nAnswer: 15832.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - (-4 - (-10 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 87*z + 1. Suppose 20*g = -23*g + 860. What is the hundreds digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 1223*r - 41. List the prime factors of v(-176).\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.71308 + 0.04792. Round j to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + 0*t + 0*t)*(3 - 5 + 1)*(-4 + 2 + 1).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 1. Let c(d) = -d**3 - 10*d**2 - 2. Let i(r) = 2*b(r) + c(r). Find the third derivative of i(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)\/v*v)**39\/(v*v**0*v**(1\/27)) assuming v is positive.\nAnswer: v**(913\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 5*n + 27, -2*u - 3*n + 2*n = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-17.22.\nAnswer: -51.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 598876?\nAnswer: 1796628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 1. Let j = 15 - 10. Let u(b) be the second derivative of 7*b**3\/6 + 3*b**2\/2 - 2*b - 25. Suppose 5*i = 3 + 2. What is i*u(o) + j*g(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -102. Let w = -44 + f. Suppose -9*c = -8*c - w. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 370 and -48 + 204 - (-80)\/(-5)?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -10, -13?\n\"Answer: -3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7274.44 - 1699?\nAnswer: -8973.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165966103?\nAnswer: 167, 727, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 9*l + 2*l)*((-1 + 5 - 2)*(0 + 1 - 3) + (5 - 17 - 50)*(3 + 1 - 2) + 3 - 1 - 5) to b + i*l and give i.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -128c - -1?\nAnswer: -128b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559303768 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 20 = -4*j, -5*y = j - 5. Suppose 5*m = -5*n, -1 = n + y. Let c(i) = -i + 6. Let a be c(4). Solve -m*l = a*b - 11, -3*b + 5*b - 5 = -l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, u: 5}. Give prob of picking 4 q.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.3 and 901?\nAnswer: 20092.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11560.744597 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus -0.104739547498?\nAnswer: -20.104739547498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6*c - 3097 = 5*c, 2*f - c - 1243 = 0. Let a = f - 430. List the prime factors of a.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 + 3)\/2)\/1. Let b(o) = o**2 + 2*o - 4. Let l be b(3). Suppose a - 5 = -2*n - 2*a, -4*n = 5*a - l. Solve w = 2*p - 4*y - 0 + 2, p = -n*y - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:34 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 44354160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*f - 134 = 0, 167*f - 172*f = -4*n - 241 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 51\/64, 0.1, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 11. Let w be j(5). Let b(n) = n**3 + 12*n**2 + 9*n - 18. Let d be b(-11). Find z, given that -d*z + w + 2\/3*z**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423d0c (base 14) in base 3?\nAnswer: -11012202012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 2 = -4*z - t, z + 2 = t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 - 22790*a**2 = 0.\nAnswer: 0, 4558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 1255151168?\nAnswer: -1255151168.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 6, h: 7, c: 6}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 16 = -31 - 58. Calculate the remainder when 214 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13087 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: Is 9112262 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0 (c) -56 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -5, 3610, 4 in increasing order.\nAnswer: -5, -2, 4, 9, 3610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7*-6*(-10)\/42\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664*f = -659*f - 5280. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 89. Solve 0 = -4*i + 6*i + k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bb11b (base 15) in base 11?\nAnswer: 376519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1012 and 300058?\nAnswer: 600116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5510, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30504 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 46 = -2*b - 7*c, -b + 5*c = -8. What is the remainder when 46 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27488 and 2944?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x = 167 - 89 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 11*c**2 + 6*c - 3. Let i be m(5). Suppose 0 = i*z - z - 2. Suppose 4*j = z*j + 18. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45236 + 5846 = -30*t. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 238 + 5*d**2 - 2*d + 237 - d**3 to a*d**2 + q*d + j + r*d**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2932873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 9*j = -8. Suppose -4*q + 0*s - 2 = j*s, 2*q + 2 = -2*s. Solve q = 5*a + 4 - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:31 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259706 - 3*a**2 + 259679 - 519407.\nAnswer: -3*a**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -3*c. Suppose 0 = 5*n - 39 - 6. Let q = n + -1. Solve -5*m + q = c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 11*g - 1. Give h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t + 10122*t**3 - 25*t - 7963*t**3 + 62*t - 20*t.\nAnswer: 2159*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 2*h**2 - 1. Let l be k(-1). Let p = l - -2. Suppose -p*s + 4*j = -52, 0 = 2*s - 5*s - 4*j + 12. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**34*(p**6*p)\/((p\/(p*p*(p\/(p**(-4)\/p*p*p))\/p))\/p) assuming p is positive.\nAnswer: p**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from qrrdruqr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -98.29 + 0.3\nAnswer: -97.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s. Let v(u) = -15*u. Let y(o) = -9*c(o) + 4*v(o). Suppose 3*w = -2*w - 4*i - 6, i = 5*w - 14. Let x(h) = -2952 + 2952 + 2*h**w. What is y(x(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 - 1\/((-4)\/1108). Let a be (-48)\/(-12) + 126 - (-5)\/(-1). Calculate the highest common factor of a and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2 + 15532*r + 37470312 = 0?\nAnswer: -1683, 5566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-2)\/4 + 0). Let p(z) = -10*z - 3. Let x be p(0). What is the nearest to q in 0.2, 5, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l - 94 = 0. Suppose 4*g + l = 3*y, 4*g - 5*g = 5. What is the smallest common multiple of y and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14097 = 6*g - 8*g, -b + 2823 = 4*g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 - -233. Let t = -3.1 + 0.1. What is the closest to 2 in -0.1, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**2 - 6*z**2 + 0*z**3 + z**3.\nAnswer: z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*y**2 + 2*y - 2*y + 96*y**2 - 187*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: d5652 (base 14) to base 10\nAnswer: 514376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-51))\/(-4) + (-1215)\/(-3825).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by 66.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 2*u + 0*u + 2*u**2)*((2*u - u - 2*u)*(-2*u - 2*u + 3*u) + 2*u**2 - u + u + u**2 - u**2 + u**2) - 2*u**2 + 2*u**2 + 109*u**4.\nAnswer: 117*u**4 - 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83.57 - -84. Let k = 45.57 + a. Let u = k - 74.3. What is u rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 823*h**4\/3 + 1606*h**3\/3 + h**2 + 407*h + 2. Differentiate m(p) with respect to p.\nAnswer: 6584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.064 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -440 and -5388129.\nAnswer: 2370776760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/2143 - 47254\/57861. Is -2 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5733717 times -0.08\nAnswer: 458697.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (2 - 4))*-2. Let z(g) = g**3 - 8*g**2 - 5*g - 2. Let o(u) = u**3 - 7*u**2 - 4*u - 1. Let n(j) = 4*o(j) - 3*z(j). Determine n(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1278 + -1278. Let i(y) be the second derivative of 2*y - 13\/12*y**4 + 0*y**3 - 5\/2*y**2 + v. What is the derivative of i(q) wrt q?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.2 + -11.5. Is z < 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -773, -2412, -4925, -8312, -12573, -17708?\n\"Answer: -437*v**2 - 328*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178.56 + 182.56. Sort -90\/7, x, -3, 0.4 in increasing order.\nAnswer: -90\/7, -3, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 + 4435395*w**2 + 983629787175*w - 2950929280215 = 0. Calculate w.\nAnswer: -443541, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.03565+0.172\nAnswer: 0.13635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v + 69*v - 4872 = -57*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*v - 7*n + 2*n, -5*v + 5*n = 0. Let t = v + 7. Factor 4*f**3 - f**3 + 8*f**2 + 2*f + 5*f**t.\nAnswer: 2*f*(2*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008053389?\nAnswer: 7, 144007627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -890 - -1195. What is the greatest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -3. Suppose -3*r = i + 103. Let m = r + 89\/2. What is the biggest value in 1, -5, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/11340 and -43\/9720?\nAnswer: 68040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d + 2. Let p be (-39)\/15 + (-3)\/(-5). Let z be t(p). Suppose -z = -3*r + r. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {l: 4, k: 7, b: 5}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**3 - 7*j**2 + 7*j - 7. Let a(g) = -4*g**3 + 2*g**2 - 2*g + 2. Determine -7*a(h) - 2*s(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (10 + -3)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17322 - -17614. Calculate the remainder when a is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 11 + -7 + 12*-1. Let t(u) = 6. Let b(x) = x + 14. What is r*b(w) + 14*t(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:23 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 14. Let n be s(0). Suppose 0 = 3*k - 41 + n. Let x = 209 - 137. What is the highest common factor of k and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (5 - 7)) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 5609392263.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6 = 3*o, o - 6 = -4*z + 4*o. Suppose 0 + 1\/4*t**4 + 1\/4*t**2 - 1\/2*t**3 + z*t = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 2:12 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**5\/30 + w**4 - 12*w**3 + 5*w**2\/2 + 4*w. Let x(m) be the first derivative of j(m). Determine t, given that x(t) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1432835552 to the nearest integer?\nAnswer: 37853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2608438*g**4 + 2*g**3 + 16418133*g**2 wrt g.\nAnswer: -62602512*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*j - 4*j = -114, j + 228 = 2*z. Suppose 44 + 12 = 2*g - 2*c, -z = -4*g + 2*c. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 = 4*u, -3*u - 13 = -5*h + 2. Suppose h = 2*o - 54 - 0. Calculate the smallest common multiple of 27 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 881063911 to the nearest 100000.\nAnswer: 881100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117363 or 1.1?\nAnswer: -117363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48070272 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Let q be (-4 + 9)\/(b\/(-302)). Is 23 a factor of 4\/(-10) - q\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46 + -49 - 3\/(-1). Solve b = 38*w - 73 - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 229*p - 231. Let o be g(3). What is the greatest common factor of 312 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 2529?\nAnswer: 15174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + k - k)*(0 + 2*k**2 + 0) + 59*k**5 + k**5 + 29*k**5.\nAnswer: 91*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17 + (3 - (2 + -1)). Suppose -4*j = -l + 22, -l = -5*j - 6 - d. Let v = 616 - 600. What is the lowest common multiple of l and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -15, -66, -169, -342, -603, -970, -1461?\nAnswer: -2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.91 + -0.09. Let y = h + 14. Let o = y + -6. Which is the smallest value? (a) -0.2 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 0, -2*m = -139*b + 143*b - 12. What is the closest to 3\/7 in 8, b, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13 = -303. Let w(s) = -s**3 - 9*s**2 - 10*s - 19. Let n be w(-8). Let x be n\/(6\/(-2))*i. What is x rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (6 - ((9 - 0) + (32 - 36)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38410 (base 15) in base 14?\nAnswer: -49742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2335 - 1.34527.\nAnswer: -2336.34527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.17821 to two dps.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 177\/7 + (-2)\/7. Suppose 3*m = 4*v + 49, -4*v - q - 3 = 4*m. Let g = 18 + v. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i - 4\/3*i**3 + 1\/8*i**4 + 2 - 19*i**2. Let y be 1*2\/1*3. Determine t(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*t - 8679, -2*n - 814 = -t + 1367. Let v(q) = -81*q + 1. Let u be v(-1). Let a = t + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 171, 343, 515, 687, 859?\n\"Answer: 172*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248 and 383808?\nAnswer: 11898048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from ddddaadaalddlddt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 33*t**3 + 41*t. Let s(o) = 164*o**3 + 204*o. Let h(z) = -24*c(z) + 5*s(z). Find the second derivative of h(r) wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -137, -311, -545, -833, -1169, -1547?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39723613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 4, o: 2}. What is prob of sequence on?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34512)\/(-57520)*(55\/(-2))\/(12\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*o + 67*o + 1 + 0 + 286*o + 293*o as f*o + z and give f.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.52 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110166, -110122, -110078, -110034, -109990, -109946?\nAnswer: -109902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24453 greater than or equal to 20578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*c - 2*p, -c = 2*c - 5*p - 62. Suppose -42*f + 159 = -51. Solve f*k - 6 = c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 565 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.30307ml in litres?\nAnswer: 0.04130307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Let n be 128\/22 - 2\/(-11). Let m be n\/(-15) + 3\/20. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22806464671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/165*10)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13847 is divided by 924.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 plus -21?\nAnswer: -21.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7962*y**2 + 31862*y**2 - 7964*y**2 - 7964*y**2 - 7961*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 16*q - 20. Let x be r(11). Let m be (-4)\/10 - (-14)\/x. Suppose 57 = 3*g - 3*k - m*k, 4*g - 5*k = 74. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1902 from 1637.913.\nAnswer: 1638.1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 142.3*193951\nAnswer: 27599227.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 121. Suppose -3*u = -o - u - 5, 5*u - 29 = -3*o. Suppose -5*k + 0*m - 5*m = -q, o*k - 53 = -4*m. What is the remainder when 20 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363998814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*v - 2*u, -2457*u + 9 = 2*v - 2452*u for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 343570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 256\/40*125\/(-50). What is the nearest to 1 in z, -22, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1948006 is divided by 34785?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 94\/8*(-8 + 0)\/(-2). Suppose -5*p = -3*v - 281, l - 161 = -2*p + 2*v. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3570, 3566, 3564, 3564?\n\"Answer: c**2 - 7*c + 3576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1940.8443 + 1941. Let u = 0.0047 - y. What is u rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z + 13. Let s be f(7). Let j = s + -27. Solve 5*m + 6 + 14 = j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(1 - -2) + -2. Let k = -3 - a. Let v(h) = -h + 8. Give v(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 97365, 194728, 292091, 389454, 486817?\n\"Answer: 97363*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/290)\/(423\/(-705))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 595532, 595539, 595564, 595619, 595716, 595867?\n\"Answer: 2*r**3 - 3*r**2 + 2*r + 595531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 696005.65 to the nearest one thousand.\nAnswer: 696000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 154. Let h = -59 - t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720) + sqrt(720)*-1*5)**2.\nAnswer: 96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311109 is divided by 3938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*i**2 + 361*i - 26589.\nAnswer: -66*i + 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.379013mg to tonnes.\nAnswer: 0.000000009379013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631 = -535*n + 16806 - 1195 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - x**2 - 30*x + 3. Let i be d(5). Solve -5*h = -i + 178 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-1776) - 220\/(-2775)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4326831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 1. Let h be t(-3). Suppose 2*z - 5 = h. Suppose -4*c + z = -7. Solve -p + 4*p = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44142 - -3?\nAnswer: 44145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (101 - 47) + -110?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15610367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*g**2)*(-3*g + 3*g - 2*g) + (1 + 3 - 1)*(-g**3 + 3*g**2 - 3*g**2))*(1 - 2 + 2)*((0 + 2 - 4)*(2*g + 2 - 2) - g + 1 - 1 - 62 - 4*g + 62).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1325160448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -1.1. Sort -0.2, 0.5, u.\nAnswer: -0.2, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*c**3 + 82*c**3 + 3*c**3 + 2*c**3.\nAnswer: 171*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 3 = -4*n. Let f = -2115 - -2127. Solve f*v = n*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/22621842 and 41\/108?\nAnswer: 45243684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103056*v**2 - 102645*v**2 + 206101*v**2.\nAnswer: 400*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 - (-16 - -8)) - (-29 + 46).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + (-7)\/(-3). Suppose 0 = 2*k - 5*g + 7*g - 10, -14 = -4*k - 2*g. Solve 0 = a*t - k - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = 6*a - 93 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 14*g + 57. Let r be y(17). Solve 0 = 2*j - 0*j - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 119. Let z = r + -100. Calculate the greatest common divisor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3088 - -3088.01. Which is the second smallest value? (a) n (b) -2\/3 (c) -1\/4 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377441909?\nAnswer: 13, 241, 120473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410433?\nAnswer: 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1037, -4088, -9163, -16256, -25361?\nAnswer: -36472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3\/5 (b) -1 (c) 4 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 211 + 1?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90454*x**2 + 45089*x**2 + 45366*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 155*b - 5183. Give z(31).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -22, -108, -2.\nAnswer: -108, -22, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**3 + 2*x**2 - 1572*x wrt x.\nAnswer: 12*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16574*c**4 - 7984*c**3 - 231407694 with respect to c.\nAnswer: 66296*c**3 - 23952*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -2749*h**6\/120 + 7*h**5\/60 + 5*h**3\/2 - 627*h**2. Find the third derivative of j(u) wrt u.\nAnswer: -16494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*y + m, 2*y + 4*m - 10 = 0. Let l(q) = -q**2 - 5*q + 2. Let b be l(y). Suppose p**2 + 3*p**b - 2*p**2 + p - p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 108 = 4*c - 4*s, -s = -4*c + 93. Let w be c - 1\/((-3)\/9). Suppose b - 2*b = 3*l - 61, -l + w = 5*b. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*y + 331, -259 = -2*y + 3*g - 32. Let o be 21\/(-3) + -75 + 2. Let u = y + o. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209632954 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 60 = -4*o, -8*o + 121*h = 124*h - 126. What is the lowest common multiple of o and 3012?\nAnswer: 9036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21760 and 102.\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-3))\/((-7)\/231))\/(12 + -10).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -643 (c) 0.1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 53 - 12)*(x + x - 3*x) - x + 27 - 27.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*j + 226*j - 39823 = 10610 + 4005 for j.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28317952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6341.\nAnswer: 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/20 and 69\/35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-10)*v)\/v)\/v*v)\/((v\/(v*v*v\/(v*(v*v**(-11)*v)\/v)))\/v))\/((v*v\/(v\/(v\/(v\/(v**(8\/7)\/v)))))\/v**0) assuming v is positive.\nAnswer: v**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/102 and -19\/39219.\nAnswer: 78438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 4:34 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-15 - -8 - -1) - (9 + -12 + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 7*q - 1. Let n(r) = r**2 + 7*r + 2. Let b(t) = -6*n(t) - 5*y(t). Let f be b(-2). Factor 6*m**4 + 14*m**4 + 15*m**5 - 10*m**3 - 9*m**3 - m**f.\nAnswer: 5*m**3*(m + 2)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -232. Let h = 98 - o. Calculate the smallest common multiple of 27 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -86. Let u = 63 - d. What is the greatest common factor of 39 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-540)\/105)\/(-18))\/(4\/7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2964903506 + 2964903506 - b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**8\/1176 - 4*w**7\/735 - w**6\/140 + 2*w**5\/105 + w**4\/21 + 4*w**2. Suppose p(m) = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:39 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 39015*m + 78042.\nAnswer: -3*(m - 13007)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30602701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -61*t**7\/105 - 19*t**4\/6 - 32*t**2 + 1. Find the second derivative of s(p) wrt p.\nAnswer: -1464*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*h, 1 = 3*h - s - 4. Let z be (-54)\/9*((-25)\/15)\/5. Solve z*g + 15 = -h*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/29)\/u*u**(-10)*u*u)\/((u**(-6)\/u)\/(u*(u**(-2)*u*u)\/u*u)) assuming u is positive.\nAnswer: u**(-31\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -0*r + 5*r. Let w = -8 + r. Let t be -1*(w - 2 - 6). Solve -4*u = 4*g + 4, 6*u - 3*u = t*g + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*h - 4 = 6*y, 32 = -3*y + 5*h. Find the common denominator of ((-1)\/((-12)\/(-74)))\/(y + 2) and -35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c + 0 + 0 + (2 - 1 + 0)*(-1 + 4 + 3)*(4*c + c - 2*c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + 188\/16. Suppose -4*t + u = -0*t. Determine f, given that 3*f**t + 9*f**4 - 2*f**5 + 4*f**5 + 4*f**5 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 108, 3, 0.5, -47, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1893)\/29657*8*(-4)\/(-48).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171569291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 2898310 < 2898331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 25*t - 7. Let m(v) = -125*v + 35. Let x(u) = -11*f(u) - 2*m(u). What is the first derivative of x(h) wrt h?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 806*y**2 + 49*y - 182. What is the tens digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*l - 59 = 0, -f = -0*l + l - 13. Calculate the lowest common multiple of f and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.7? (a) 0.1 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (0 + (-3 - (-34 + 11))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/441256 and -7\/181135588.\nAnswer: 362271176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 - 525*n**2 - 8*n + 4*n**3 + 517*n**2 - 8. Let j = 48 - 39. What is g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**3 - 2*k**4 - k**2 + 9*k**3)*(-1 + 0 + 4).\nAnswer: -6*k**4 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 12741.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 - 2)*(0 + 1 + 0) - 28 - 185 - 29 + 0 + 0 - 5 + 2 - 3 + 0 + (1 + 3 - 3)*(0 - 1 + 0) - 1 - 2 + 2)*(-m + m + 2*m) as y + p*m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2764 - 784 = 66*h. Suppose -2*i - 4*c = -30, -4*c - 33 = 2*i - 3*i. Calculate the lowest common multiple of i and h.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*d = -17*d - 1752. Calculate the greatest common factor of d and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 14 = -0*u. Suppose u = -f + 34. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*b = -0*b - 136, -70 = h + 4*b. Let c be ((-10)\/15)\/(4\/h). Let z = 8 + c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 81 - 6*m - 178 + 7*m)*(-1 + 1 - 3) in the form t + j*m and give t.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o + 0*o)*(o**2 + 11 - 11 - 2*o**2 - 1 + 1 + (2 - 2 - 2*o)*(4*o + 0*o - 2*o) + 4*o**2 + o**2 - 3*o**2).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 345902.7 milligrams in tonnes?\nAnswer: 0.0003459027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*n + 479*n - 572 = -2332 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - -10 - (-243 + 246))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -45. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*s = -64, -3*h - 5*s - 4 = -57. Solve -13 + h = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -43 (b) 13 (c) 0.3 (d) 1828\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39096?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 5. Let o(g) = 7*g**3 + 2*g - 7. Let l(n) = 20*n**3 + 6*n - 20. What is m*l(h) - 17*o(h)?\nAnswer: h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52003 and 9809?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 343, -47, -4, -2 in ascending order.\nAnswer: -47, -7, -4, -2, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 27*j**2. Let c(t) = 23*t**2 - 16*t**2 - 13*t**2. Determine c(v(p)).\nAnswer: -4374*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/15)\/((-12)\/(-18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15659 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2. Let x(m) = m - 11. Let t(d) = -4. Let u(i) = -11*t(i) + 4*x(i). Determine u(g(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/60072145 and 58\/77235615?\nAnswer: 540649305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and 29\/774.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-38*62\/(-5890))\/(2\/(-3))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 2:11 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20 + (20034\/(-27))\/(-14). Solve 3*y = -8*t + 11*t - 21, 4*t = -y + d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 6*t**2 + 11*t + 10. Let b be o(5). Let z(j) = j**2 + j + 2. Let f be z(2). What is the highest common divisor of f and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9207*g - 18999. Determine v(2).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t, u + 37162 = 3*u - 4*t. Suppose 2*j = -8, -3*j - 2822 = 3*m - u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0\/(-2) - (3 - -2 - 14) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - 56 - -15 - -13.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**5 + x**4 - x**4 - 2 + 2 - x**5 + (2 - 5 + 5)*(5*x**5 + 3*x**4 - 3*x**4).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (18 - 9) + -26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 4384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 494, 722, 932, 1118, 1274, 1394, 1472?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (-9 - 33) - -40\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -489 - 9*u + 5*u**2 + 481 - 4*u**2. Let m be j(11). What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Let m(x) = 20*x**2 + 7. Let y(w) = -7*w**2 - 2. Let j(v) = 2*m(v) + 7*y(v). Give j(h(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f + 1. Let a(y) = 3*y**2 + 2*y - 2. Let l be (-18)\/12 + 2\/4. Let g(t) = l*a(t) - 2*i(t). Let n(o) = -14*o**2. Give n(g(q)).\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849425921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:12 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/7 (b) -5 (c) 619.14 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2*(-9)\/(-12)). Let s be 2\/4 - (-14)\/m. Let p(z) = z**2 - 2*z - 5. What is the units digit of p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/12 + u**3 + 43*u. Give y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15120\/2016*1\/((-6)\/8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 1075775678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1163*a**2*u**2*x - 13*a*u**2*x + 2*a*u**2 + a*x - 3*u**2 wrt a.\nAnswer: -2326*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 14. Let n(t) = -t**3 - 20*t**2 + 15*t - 124. Let d be n(-21). Solve m + r*v - 11 = d*v, -4 = v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -368 + 369.6. Which is the closest to 0.03? (a) 2\/9 (b) 1\/4 (c) j (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5034 (base 8) in base 6?\nAnswer: -15552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2844*s + 43 - 8 - 35 as l + b*s and give b.\nAnswer: 2844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6*t - 9. Let l be ((-5)\/(-15))\/(1\/t)*5. Let b(k) = k**2 + k - 10. What is the remainder when b(l) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6885*t**2 + 5744*t - 137416321?\nAnswer: -13770*t + 5744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 84*f.\nAnswer: -4*f*(f - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/22)\/(13\/52).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 2\/7, -5, 3\/5, 1128\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 12*m**2 - 12*m + 3. Let v be a(-13). Let r(z) = -z**3 - 9*z**2 + 10*z + 3. Determine r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-4)*(-2)\/(-7)*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 + o**2 - 4*o + 3. Let a be h(1). Suppose 0 = -4*u + 5*t + 16, -8*u + 2*t + 4 = -a*u. Put 5, u, -2, 10 in descending order.\nAnswer: 10, 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = 103*n - 16. What is the nearest to 2\/5 in 0.1, n, -99.2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h = -594 + 412 - 533 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.38? (a) -568 (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2 + 1. Let q = p + 4. Suppose -5*c = -189 + 69. Calculate the remainder when c is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrmvvvmmvmvwmvmvm. Give prob of sequence mmwv.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 4*w**2 - 5*w + 5. Let g be y(-5). Let m = 75.2 + -48. Let k = m + -27. Which is the biggest value? (a) g (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/18)\/(2\/(-9)). Let c be 12\/i*(-3 + 1). Is (c\/6)\/((-4)\/(-30)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 2. Suppose -4*r = l*k + 2, -4*k - 2*r = r - 6. Suppose 4*u + 2*t = 0, 5*t = u + 14 - k. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-17)\/(-3))\/(4\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 82, -5, 1, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d - 6. Calculate the smallest common multiple of 9 and f(-7).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37238035 not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -20502684226?\nAnswer: -20502684226.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3))**(-14\/3))**(-6\/11) assuming l is positive.\nAnswer: l**(56\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/22962*89*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59347 is divided by 822?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.061 (b) -19 (c) -22 (d) 3 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1879 or -1880?\nAnswer: -1880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -52. Solve 0 = s + u + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 - 30 = 0. Let a = -13 - -11. Sort 1, a, d in ascending order.\nAnswer: a, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-5) + (-615499)\/(-355) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -0.171, -0.4, -0.108?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 1. Let c be y(-1). Let a = c - 3. Which is smaller: a or -25\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 119. List the prime factors of w.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -3, 2 in descending order.\nAnswer: 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 5. Let l(d) = 2*d + 5. Suppose f + 2*u - 1 = -u, 0 = 4*f - 3*u + 26. Let h be l(f). Calculate i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:21 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8541 + 8542. Solve 5*u + q - 21 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48.271 - -48. Round z to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 193*h + 789. Let i be o(27). Calculate the highest common factor of i and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -1\/276 (c) -14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -1.1702?\nAnswer: 19.8934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*a + 8*a. Suppose 13 = 3*f - a*o - 1, 2*f - 4*o - 12 = 0. What is the third derivative of -5*t**2 - 2*t**f - 5*t**5 + t**2 + t**2 wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4274 and -7501.\nAnswer: -32059274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*z = -9*z + 260, -s + 68 = 2*z. Calculate the least common multiple of 10 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - d - d + 374 = s + 402, 3*d = 22*s + 252 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 530 = 905. What is the biggest value in t, -18, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 331.4 - 342.4. What is the third smallest value in z, 0.4, -25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 11 + 12 - 23 to the form w + m*l and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123*b**3*o + 451*b**3*v*x - b*v - 14*o*v*x + 8*o*v + v wrt x?\nAnswer: 451*b**3*v - 14*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/7 (b) 0.035 (c) -8 (d) 0.2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -5044?\nAnswer: -5046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 25*f - 58)*(10*f**2 - 6*f**2 - 22*f**2 + 2)*(4*f + 3*f - 5*f).\nAnswer: 900*f**4 - 100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1449\/10 - -12097\/80. What is the common denominator of m and (2 - 3) + (-53)\/(-20)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 15*f + 17. Let v be r(14). Find the first derivative of -l**3 + 25*l**v - 2 - 9*l**3 + 10 wrt l.\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.6?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -74. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -244, -28, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/28)\/((-6)\/12)*1\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2*x + 4, -11*x - 14 = 3*d - 16*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -693*l**2 + 2772*l + 37. Give y(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(6\/36) + ((-452)\/56 - -2). Which is the second biggest value? (a) m (b) -0.072 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -562 + 11800\/21. Let l = d - -20\/21. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 + 7*x + 9. Let h(j) = 4*j**2 + 6*j + 8. What is 6*c(u) - 7*h(u)?\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-2*x**3 + 5*x**3 - 2*x**3) + 9630*x**3 + 7237108*x**2 - 7237108*x**2.\nAnswer: 9629*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 4*z - 3*z + (18 - 1 - 8)*(-3*z + 3*z + z) in the form f + j*z and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (182\/39)\/((-2)\/2403). Is r\/(-4) + ((-20)\/(-16))\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12238, 12000, 11604, 11050?\nAnswer: 10338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197729040 rounded to the nearest 1000000?\nAnswer: -1198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:11 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g = 107*g - 50*g + 1602 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 164 + 40. Let n = 24 - h. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59263530 to the nearest integer?\nAnswer: 7698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 1, e: 3, f: 1, z: 3}. Give prob of sequence ksf.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2519, -4849, -7167, -9467, -11743, -13989, -16199, -18367?\nAnswer: -20487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 + 810*s**3 - 94116*s**2 + 2200640*s + 28032768 = 0.\nAnswer: -9, 46, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 263, 233, 181, 101, -13?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5943793, -5943792, -5943791, -5943790, -5943789?\n\"Answer: a - 5943794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 5. Let t be w(8). Suppose -8*d + t*d + 10 = 0. Suppose 0 = -d*h + 5*h - 6. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:06 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v + 3*v + 14*v to the form f*v + n and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3050 + 33520\/11. Let i = 25012\/5 - 55052\/11. Let r = j - i. Which is the closest to r? (a) 1\/2 (b) -4\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.02, -0.31, 3, 2\/11?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 56.1. What is the nearest to l in 1\/8, -18, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o = -41*o + 14. Let s(j) = 6*j**2 + 16*j + 11. Let a be -6 - (-8 - 1) - 14. Let z(t) = -t**2 - 3*t - 2. What is a*z(i) + o*s(i)?\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151086510?\nAnswer: 2, 3, 5, 1678739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14438 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 234?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105108 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -2\/5*d**5 + 9\/2*d**2 + 13\/4*d**3 + 1\/3*d**4 + 2*d + 10. Factor h(s).\nAnswer: -(s - 2)*(4*s + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.795 - 44.645. Let m = l - -4.55. Round m to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -38 - (0 + -18 + -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 66064*x - 2 + 132121*x - 66073*x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175219 and 13090.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9303319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/196 and 33\/906542.\nAnswer: 12691588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/287890523 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 207\/4 + 52*l + 1\/4*l**2 = 0.\nAnswer: -207, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x**(-9))**29 assuming x is positive.\nAnswer: x**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 - 12*k**4 - 35*k**3 - 24*k**2 - 5*k = 0.\nAnswer: -1, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1366 - -23314?\nAnswer: 24681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 106*u - 7526. Let g be r(71). Find w, given that g*w - 12\/5*w**3 - 2\/15*w**4 + 0 - 54\/5*w**2 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-702) - 32\/78)*(-22 + 181)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0) + 0 + -5. Let p be r*2 - (-3)\/3. Let u(c) = -c**2 - 6*c + 8. What is the units digit of u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - a**2 + 0)*(8 - 10 - 26)*(3*a - 2*a - 6*a) + 3*a**3 + 6 - 6.\nAnswer: -137*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7514505?\nAnswer: 3, 5, 55663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -138729*s + 4300594. Determine h(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1236*i + 1688 - 4425 + 17569 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let z(d) = -16*d + 5*d + 10*d - 7*d + 702*d. What is o(z(q))?\nAnswer: -963272*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598341905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7eb642 (base 16) to base 8\nAnswer: -37533102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 482, 1046, 1836, 2852, 4094, 5562?\nAnswer: 7256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2 - -1)*-2 + -25)*-1. Let u = l + -16. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -894801364, -894801363, -894801362, -894801361, -894801360?\nAnswer: -894801359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 134467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)\/((n*n**(2\/11))\/n)*(n\/n**(-3\/8)*n)\/((n**(-2\/39)*n)\/n))**(-3\/5) assuming n is positive.\nAnswer: n**(-8725\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -2)*-6*(-16)\/(-18). Let r(i) = -3*i**3 + i**2 + i + 2. Let q be r(2). Let y = q + z. Solve y*o = o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -8 - -2) + 212. What is the remainder when 28 is divided by (y\/56)\/(6\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.20105mm in kilometers?\nAnswer: 0.00007920105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - 4*f)*(4*f**2 + 0*f**2 - 2*f**2) - 4 + 4 - 2*f**3 + 0*f**3 + f**3 + 2*f**3 + (-4*f - 2*f + f)*(0*f**2 + 2*f**2 + f**2).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (191586\/666 - 288)\/((-23)\/(-2) - 0).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28089287 a multiple of 2767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/60 + v**3\/2 - 23*v**2. Let s be z(1). Solve -q + 5 = s*i - 0, -4*q - 15 = i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 10) in base 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1803515 divided by 5\nAnswer: 360703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 727, -83, -1433, -3323, -5753, -8723, -12233?\n\"Answer: -270*b**2 + 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*w - 16*w + 15*w in the form u + n*w and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20000212 + 0.034091\nAnswer: 20000212.034091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from ocfjomhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516229195?\nAnswer: 5, 181, 570419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*o**3 + 354*o**2 + 290*o**2 - 644*o**2.\nAnswer: 356*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 4810 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -964, -1922, -2880?\nAnswer: -3838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-2\/107)*q**(-1)\/q*q*q\/(q\/q**(-2\/17)))**(-1\/53) assuming q is positive.\nAnswer: q**(1965\/96407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -797, -794, -791, -788, -785?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-9))\/s**(-14)*(s\/(s\/(s**20*s)))\/s**(-7\/4) assuming s is positive.\nAnswer: s**(191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5998605564 - -409296854629607\/68232. Let h = q + 2\/8529. Calculate the common denominator of -3\/11 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -421*r - 2130. Calculate d(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434.6934 - -0.16.\nAnswer: 434.8534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2))\/p)**(-3\/5)\/(p*p**4*p**(-7)))**(1\/7) assuming p is positive.\nAnswer: p**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -5*n + 2*g - 46, -3*n + 33 = 3*g. Calculate the highest common factor of n and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = 32102 + 24654. What are the prime factors of z?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40751.9 years in months?\nAnswer: 489022.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3475*v**3 + 3344*v**3 - 10640*v**3 + 3419*v**3.\nAnswer: -402*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/1160*7\/(-14)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 163*f**2 - 325*f**2 + 0*f + 161*f**2 + 3*f in the form n*f**2 + l + s*f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 18 - 6 + y + 33 + 16.\nAnswer: y + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w - 1\/60*w**6 + 9*w**2 + 0 + 7\/15*w**5 + 0*w**3 + 0*w**4. Find the third derivative of r(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -b + 15, -10 = -4*u - 14. Which is bigger: 18 or b?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2. Let b be q(-6). Suppose 0*v + 5*v = b. Suppose 2*f + 3*f + 5*i - 150 = 0, v = 3*f - i - 102. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20442 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m = -46*m + 135 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 - 386 - 24 - 244*s**2 - 209.\nAnswer: -226*s**2 - 619","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9046810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*m + 5 = 0, 5*j + 124*m - 122*m - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 153328491.1 to the nearest 100000.\nAnswer: 153300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)\/(j*(j*j**(-1\/6)\/j*j)\/j))**5 assuming j is positive.\nAnswer: j**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12141004 divided by 604?\nAnswer: -20101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - (-22)\/(-24). Suppose -o = -5*v - 17, -20 + 22 = o - 2*v. Let c be ((-240)\/(-6))\/(8*(-2)\/o). Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - -1. Let i be (-3095)\/(-4) - (-6 + 115\/g). Suppose d = -186 - i. What is d rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*u - 25, -2*j - 3*u + 33 + 32 = 0. Let i = 39 - j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3526600811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440128 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = 0. Suppose -5*b + 0*b + 30 = 0. Let k be 4\/(-6) - (-88)\/b. Solve -5*v - 4*z = -k, r*v - 5 = -5*v + 5*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/((-3330)\/(-88) - 2). Let q = z - 6\/83. Let i = -407\/475 + q. What is the common denominator of 20\/9 and i?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14843 + 3786?\nAnswer: 18629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = -4*z, -5*z + 0*p - 17 = -2*p. Let q = 5 + -10. Let k = 18 + -16. Sort k, q, z in decreasing order.\nAnswer: k, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5686359*n + 3955063?\nAnswer: -5686359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 16) to base 10\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -n + 1, 4*n - 16 = -0*n. Find the common denominator of 580\/255 + -1 + z and -4\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = 5*h, 7*h - 4*h = p + 12. Suppose 3*x - 3 = -0*x, h*l - 26 = -2*x. Calculate the smallest common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) + sqrt(1000)*2)\/(-3*sqrt(18)) + -2.\nAnswer: -10*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let s(m) be the first derivative of -m**2 + 3. What is s(r(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by 5.\nAnswer: -292\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -5*f**3\/6 - f**2\/2 + f. Let y(z) = 2090*z - 45968. Calculate the lowest common multiple of o(-2) and y(22).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9) - (-152)\/(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44546 + 44545. Let w = 15 - 10. Which is the nearest to u? (a) w (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*t + 151371 + 460832 = 0, r - 3*t = -612197. What is r rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2547 and 32?\nAnswer: -81504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + (-2301)\/(-12))*8. Let k = -11999\/8 + w. Let q = 11699\/6 + -1956. What is the common denominator of k and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*l - 3*v = -184*l - 178*l + 145, 18*l + 493 = -5*v for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 3 - 6)\/(-1). Let g(i) = -i - 6. Let j be g(-11). Suppose j - 15 = -5*r. Solve 0 = r*n + c - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 - 225290*z + 233119*z - 4 in the form k + b*z and give b.\nAnswer: 7829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/(-62)*2204\/190.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6452 = 187*s + 8509 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53434 greater than 53434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 1 m when three letters picked without replacement from {j: 4, a: 6, m: 2, w: 4, d: 1}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y + 4. Let f be s(-1). Solve f = 2*m - 6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n**2 - 3*n + 3. Let s = 13952 - 13950. Let x(r) = -11*r**2 - 2*r + 3. Calculate s*q(z) - 3*x(z).\nAnswer: 13*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 at most as big as -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let d(v) = v. Let i(m) = -a(m) + 4*d(m). Let q(h) = 0 + 11 - 22*h + 0 - 11. Give q(i(p)).\nAnswer: -66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*k*s**3 + 3*a*k*s**2 + 2*a*k - 45*a*s**3 + 3*a*s + k*s**3 wrt s?\nAnswer: 18*a*k - 270*a + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1074*l + 387*l - 911*l + 141*l - 683*l.\nAnswer: -2140*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**4\/4 - 50*y**3\/3 - 53*y**2\/2 + 102*y - 587. Solve m(x) = 0.\nAnswer: -2, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 5970.\nAnswer: -2\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2326421 at least -2326420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62204.31 - -74.8598.\nAnswer: -62129.4502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.64978002075 + -0.1421\nAnswer: 0.50768002075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-6))\/((-6)\/20). Let p(d) = -d**2 + 3*d - 4. Let g be p(3). Put -2, z, g in increasing order.\nAnswer: g, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 3*f**2 - 28*f - 436. Is b(-14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, n: 8, c: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 6. What is the remainder when n is divided by -1 - -5 - (2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*v**3 + 266*v**3 + 159*v**3 + 403*v**3 + 37*v**3.\nAnswer: 724*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, -2, 1, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 29. Let b(o) = 47*o - 170. Calculate 6*b(z) + 34*x(z).\nAnswer: 10*z - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (((sqrt(264) + sqrt(264)*-1 - sqrt(264))\/sqrt(8) - sqrt(33)) + sqrt(33) + sqrt(33)) - sqrt(33))\/(sqrt(270)\/sqrt(10)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.1213 - -0.0213. Let t = x - -19. Let y = t + 0.9. Which is the biggest value? (a) y (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30450001.2 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4266738801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 100 = -14. Suppose x = -2*a + 176. Is 39 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - (-5 + 2) - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2 + -1443?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, e: 1, g: 6, d: 2, c: 2, h: 3}. What is prob of sequence dhwg?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1214 - 296. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f + 10. Let o = 11 + -1. What is the smallest common multiple of m(0) and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, 1 in descending order.\nAnswer: 23, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 - -14?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.97 - 2.47. What is the fourth smallest value in -1, 0.3, 20, z?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660622 is divided by 31935.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/12 - z**3\/2 - 3*z**2\/2 + z. Let m = 1326 - 684. Suppose 15*i + 672 = m. Calculate f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/7)*r*r\/r**(-1)*r)**(1\/7)\/((r*r**(-1)*r*r\/(r*(r\/(r**7*r)*r)\/r))\/((r*r**(-6)*r)\/(r**(-1\/7)\/r))) assuming r is positive.\nAnswer: r**(-498\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313 - -320.4. Let s = 2 - r. Round s to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3846, -29056, -97480, -230724, -450394, -778096?\nAnswer: -1235436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 190.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 3*x - 2*b + 70, -4*x + 88 = 4*b. Suppose 0 = -v - l + 398 - 54, v - 332 = l. Calculate the greatest common factor of v and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2*q + 37 - 19 + 32, -28 = -2*l - 5*q - 23 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(3\/7))**42\/((r**0)**(3\/17))**(-27) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 1. Let k(h) = 10*h**2 + 8*h - 8. Let j(q) = -k(q) - 8*y(q). Let c(d) = -2*d. Calculate j(c(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 + 4*a. Let i be t(-4). Let r = i + 38. Let o(v) = -2*v**3 + 3*v - 4. Calculate the lowest common multiple of r and o(-2).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 30 = -3*s. Let q = -12 + s. Suppose -4*c = -2*h + c - 5, -4*c = 4*h - 4. Sort h, -5, q in increasing order.\nAnswer: -5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 1)\/((-18)\/30). Put -7, w, 17 in descending order.\nAnswer: 17, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -498*u**2 + 498*u**2 + 34*u**5 + (-u - u + 0*u)*(1 - 2*u**4 - 1) + 0*u**5 - 2*u**5 + 0*u**5.\nAnswer: 36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 14*t + 18. Let i be z(17). What is the highest common divisor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*c + 2. Let u be (c + 3)*-1 + 86. What is u rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/369 and -71\/1230.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11592.13 rounded to the nearest one hundred?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 - 192*i + 152. Give a(21).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 417330 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-11628))\/(91\/(-6552))?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - y)*(0 + 1 - 2 + (-3 - 1 + 5)*(1 - 3 + 3) - 2 + 1 + 3 + 5 + 2 - 5 - 3 + 4 - 2).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:28 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p - 1. Let c(z) be the second derivative of -z**4\/3 - z**3 - 3*z**2 - 6*z + 4. Give c(o) - 6*t(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*n + 6*n + 20136*n**2 - 20161*n**2 to s*n + h + d*n**2 and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 + 4 + 1 - 12*i**2.\nAnswer: -2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 640951, 2563799, 5768545, 10255189?\n\"Answer: 640949*u**2 + u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 29, -0.318, 2, 0.1, 0.5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -11. Let i = -0.11071 - -0.21071. What is the nearest to i in -2\/7, 3, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/3 + 234*v**3 - 17206*v**2\/3 - 234*v + 17204\/3 = 0 for v.\nAnswer: -374, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 277465 - 277474. Suppose -5*q = -2*b - 40, 5*q - 2*b - 40 = -b. Let c = q + -11. Sort 1, z, 0, c.\nAnswer: z, c, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Suppose w = -6*g + 13. Find the third derivative of 0*x**2 - 9*x**5 - 8*x**2 + 12*x**g wrt x.\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6))**(-20\/9)\/(v**(-10\/7)\/(v\/v**(-4))) assuming v is positive.\nAnswer: v**(415\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.165 + 0.095. Which is the fourth smallest value? (a) -3 (b) -1 (c) 2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7.5. Let m = 8 - 1. Let u = 0.037 - -2.963. What is the nearest to -2\/5 in u, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*s - 242*s - 3275 = 0. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419404409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and -22064.60223?\nAnswer: 22064.62223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.026 - -1.974. Suppose 0*l + 2*l - 16 = 0. Let u = l + -5. Which is the nearest to 0.1? (a) u (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/5 + x**4 + 136*x**3\/5 - 716*x**2\/5 + 1152*x\/5 - 576\/5 = 0?\nAnswer: -12, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93.22 and -2.\nAnswer: -95.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:37 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 699960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 5. Let k be o(5). Let a(i) = -i**3 + i**2 + i + 10. Let z be a(k). Calculate the greatest common factor of 90 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k + 4 - 140 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**13*w*w)\/((w\/w**10)\/w)*(w*w*w*(w*w**4)\/w)**(-20\/3) assuming w is positive.\nAnswer: w**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(156) + (sqrt(156)*2 + sqrt(156) + sqrt(156) - sqrt(156))))\/(sqrt(12)*-2*-2).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(8\/96). Let q(v) = -120 + 120 + v**2 + v. Let n(r) = r**2 - 6*r - 5. Let g(t) = n(t) - 2*q(t). What is g(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:32 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a millennium in years?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -11\/106 (b) -3\/2 (c) -3 (d) -42 (e) 2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 29 = l - 72, 0 = 3*f + l - 59. Let d = f - 16. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 2)*((-2*k - 5*k + 8*k)*(0 + 0 + 8) - 2*k + 2*k + k).\nAnswer: 27*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2, 2015 - 315 = 4*l + 2*d. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16228*a*n**3 + 703*a*n - 3*n**2 wrt n?\nAnswer: 97368*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b - 28*b - 4*b + 12*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16520 divide 4198425840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 + 2*l - 11. Let w(r) = r - 1. Determine -s(m) + 2*w(m).\nAnswer: -5*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, -0.062, 198\/7 in ascending order.\nAnswer: -5, -0.062, 3, 4, 198\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r - 20 = -76*r. Suppose 8*l - 90 = -r*t + 6*l, t + l - 15 = 0. Calculate the smallest common multiple of 30 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 17. Solve 5*l = j + 9, r = 3*l + j - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 g when three letters picked without replacement from {n: 4, u: 3, g: 1, l: 2, f: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5*f**2 + 9*f**2 - 7*f**2)*(0*f**2 + f**2 + 0*f**2).\nAnswer: 7*f**4 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14763 is divided by 2938?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 588934 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12*-9*1. Let c(a) = -x*a - 7*a - 2 + 12*a. Calculate c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 211, 446, 695, 964, 1259, 1586, 1951, 2360?\n\"Answer: g**3 + g**2 + 225*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*i + 16, -5*i = -7*k + 4*k - 1. Suppose -k*c = -4*c + 64. Suppose -f - 3*v = 2*v - 27, 3*f - 2*v - c = 0. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58390*c = -58385*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 + 236*x**3 - 287*x**3 - 402*x**3.\nAnswer: -453*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -112 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1508 + -1465. Sort -4, y, -3 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40541 is divided by 701.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1159099, -2317816, -3476533, -4635250, -5793967, -6952684?\nAnswer: -8111401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111024 - 0?\nAnswer: -111024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -236, -235, -264, -347, -508, -771, -1160, -1699?\n\"Answer: -4*w**3 + 9*w**2 + 2*w - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -215 - -1 - 0\/1. Let l be 1\/4 + j\/(-8). Suppose 0 = -23*a + l*a - 112. Solve -4*u = -2*g - a, 5*g + 10 = -2*u - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*w = 0, 5 = 4*x + 5*w - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -2715717 + 2716130 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2740 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/99 - -68\/99. Let l = 24 + -22.3. Let u = 2 - l. Which is the second biggest value? (a) u (b) o (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 9 = -3*a - 5, -4*a + 2 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -308, -460, -610, -758?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k. Let w(p) = -58443*p**2. What is f(w(x))?\nAnswer: -175329*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 9 - -3) + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -950 - -950. Which is smaller: n or -6\/109?\nAnswer: -6\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 846*a**4 - 7*a**3 + 7*a**2 + 7*a + 1642. Let r(j) = 282*j**4 - 2*j**3 + 2*j**2 + 2*j + 547. Let c(g) = 7*r(g) - 2*z(g). Differentiate c(f) wrt f.\nAnswer: 1128*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123\/208 + -7\/16. Let r be (-20)\/(2 - -2) - 0. Which is the third biggest value? (a) 10 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3875, 7748, 11615, 15470, 19307, 23120, 26903, 30650?\n\"Answer: -c**3 + 3*c**2 + 3871*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 4*x - 14 - 6, z + 16 = 5*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.9831 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -32767 < -32743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 417. Are y and 442 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(192) + -1 + 5 - (2 + sqrt(3)*-1)*-2)**2.\nAnswer: 576*sqrt(3) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/23 - 176108*y**2\/23 - 2*y\/23 + 176108\/23 = 0.\nAnswer: -1, 1, 88054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - 1 - (-60 + -87 + 120)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = p + 263, 2*v = 7*v + 2*p - 662. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3887*s**2 + 7 - 2 - 3885*s**2.\nAnswer: 2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -51. Suppose v*f - 8080 = -2150. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -m - 3*k + 45, 2*k = 10. Suppose -6*f = -f - m. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -8*z - 16*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - (0 - (14 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 30*h**2 - 397*h - 115. What is j(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -f - 1, 6*b = -2*f + 5*b + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -164.071. Let d = 32.071 + z. Let x = d + -31.8. What is the biggest value in -3, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000063781337 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2193, -4393, -6595, -8799, -11005, -13213?\n\"Answer: -n**2 - 2197*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -32, -4, -5 in decreasing order.\nAnswer: -4, -5, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -a + 43, -x - 5*a - 39 = 0 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f + 23 - 29 + 9 + 5*f**2 + f**3. Suppose -4*k - 4*n = 40, k + 34 = -2*k - 4*n. Calculate j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 = 0, 3*i + 4*j - 3 - 5 = 2. Let z = 3 + 1. Suppose 3*a - 4 = 2. Solve i = z*r - a*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = -p, 9*k = 5*p + 13*k + 4. Put 0.04, 2\/21, 4\/7, -5, p in descending order.\nAnswer: 4\/7, 2\/21, 0.04, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12121451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = q - 5*q + 104, 0 = -3*l + 3. Let k = -30 + 34. Solve -d = k*d - q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13\/o)\/o*o**(1\/6)*o\/(o**25\/o)*o**5 assuming o is positive.\nAnswer: o**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 5:20 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4855 divided by 971.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 23 + 98 = 0. Is 49 a factor of (393 - -2) + (z - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 132, 1, 11, -1, 203.\nAnswer: -92, -1, 1, 11, 132, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 143\/5 or 0.1?\nAnswer: 143\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 - x + 4. Let z be n(0). Solve -z*u = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muum when four letters picked without replacement from mumumuuuuuuuuuuu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 - 152 + 234)*(c - 3*c + c) + 0*c + c - 3*c + (-5 + 2 + 1)*(1 - 1 - 2*c).\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.9 + -53.9. Which is the second smallest value? (a) -24 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 3 + sqrt(75)*-1)**2 + (5 + sqrt(75)*2 - sqrt(75))**2.\nAnswer: 50*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 991.6047 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + m + 54*m + 20*m + 7*m - 6*m + 4*m + 0*m + (1 - 2 - 1)*(0*m - 2*m + 3*m) + m + 0*m + m + m - m + 2*m)*(m - 2*m + 2*m).\nAnswer: 83*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 5*t - 4*t + 2*t**2. Let q(s) = 2*s**2 - 5*s. Let x be -15 + -9*(-24)\/18. Let i(h) = x*q(h) + 2*l(h). Find the second derivative of i(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 1124.042.\nAnswer: -12364.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 5. Suppose -4*m = 5*l - 52, 2*l = 4*m - 2*l - r. Let c = -35 - -49. What is the remainder when c is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32754555.\nAnswer: 3, 5, 727879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.16 - 16.\nAnswer: -30.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0*z**5 + 0*z**2 + 0*z**3 + 3\/4*z**4 + 2\/15*z**6 + 0 - 6*z. What is the third derivative of i(o) wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -3*h**4\/8 - 20*h**3\/3 + 2*h**2 + 9*h. Suppose 0 = r + 4*r + 65. List the prime factors of b(r).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47\/(-3)*(63\/(-7) - -6). Suppose -48*r + b*r = -182. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 783?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240 take away -0.1?\nAnswer: 2240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9606131?\nAnswer: 9606131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2375727 to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 75*u**3 + 3*u**2 - 13*u - 227. Let a(y) = -50*y**3 - 2*y**2 + 8*y + 147. Give -8*a(m) - 5*t(m).\nAnswer: 25*m**3 + m**2 + m - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -379*w**3 + 3*w**2 + 4*w + 1. Let j(l) = l**3 - 8*l**2 + 8*l - 8. Let c be j(7). Is t(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 19*w = 99. Let i(x) be the second derivative of x**3\/6 + 9*x**2\/2 + 2*x. Let m be i(w). Solve m = -4*o + o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276590\/17 equal to 133918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/15580 and 119\/1640.\nAnswer: 31160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 972397.3 milligrams?\nAnswer: 972397300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.2 and 25.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 + 88 = 0. Suppose 5*s + q - 14 = 0. Is 26 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11001 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 310 = 20*j. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 1)*-1.\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257971 + -1805801\/7. Let l = -5 + 1. Which is the third smallest value? (a) 5 (b) x (c) -2\/9 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 29e8?\nAnswer: 29e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48\/13 in 143\/5, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let u be (-21 - -21)*(1 + 0). Let p(w) be the second derivative of 0*w**3 - 1\/12*w**4 + u + 0*w**2 - 9*w. Determine p(i(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/10 - o**5\/60 - 142*o**2 + 38. Let s be ((-9)\/2)\/((-1)\/(-2)). Let h(i) = 3*i**3. Give s*h(d) - 2*n(d).\nAnswer: -3*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {p: 12, u: 4, f: 2, b: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 94*k + 888. Give v(-11).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 1\/179 (c) 14908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003256449669 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011010011000 (base 2) to base 11.\nAnswer: 38302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2642872893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 2, k: 1, b: 2, a: 2}. Give prob of picking 1 k, 1 w, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 1095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14.91, 3\/2, -28\/11, -0.4, 5 in ascending order.\nAnswer: -28\/11, -0.4, 3\/2, 3, 5, 14.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1) + 4 + -11. Calculate the remainder when 22 is divided by (-3)\/(6\/w*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 89280310122303.\nAnswer: 89280310122305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/13? (a) -0.1 (b) 0.4 (c) 2\/17 (d) 0 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -12. Suppose a = 4*y - 4. Suppose -10*w + 29 - y = 0. Which is smaller: 4\/7 or w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 351583038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 7. Suppose 3*a = 0, -4*a + b*a = -5*q - 10. Let l be 2 - (0\/3 + q). Solve -15 = l*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -8\/3*a**2 + 0 + 2*a**3 + 8\/9*a = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 123*g**2 - 4*g + 6. What is the hundreds digit of y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-2\/3))**(-17\/2)*(p*p**(1\/4))\/p*p*p\/((p\/((p\/p**9)\/p))\/p) assuming p is positive.\nAnswer: p**(-353\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*a - 2270 + 67 = 146 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.003663 years in millennia?\nAnswer: 0.006003663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*w. Let o be (1895\/20)\/(w\/8). Suppose 9 = 4*l - o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 127) + 1070 + -1074?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 48\/13 (b) 3.7 (c) -2 (d) 27 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6890 and 55947.75898?\nAnswer: 62837.75898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = 8. Let s(x) = x - 4. Calculate s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -11*o**2\/2 - 38*o + 78. Is z(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 4*q + 39, 0 = -4*a + 83*q - 78*q - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 223713237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000120111 - -2?\nAnswer: 2000120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 24?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -805, -803, -801, -799, -797, -795?\n\"Answer: 2*d - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 11045*n - 2*n**3 - 11045*n - 192 + 3*n**3 to k*n**3 + q*n + s + w*n**2 and give s.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-30))\/(2\/70). Suppose 103 = 5*v + s, -4*s + 2*s - d = -v. Suppose 5*i + 16 = 3*l - 16, 2*l = 2*i + v. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53784450 <= -53784442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1259? (a) -2\/5 (b) 1\/2 (c) -0.2 (d) 5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 22*h - 2. Suppose 14 = -0*l - 2*l - 4*p, 4*p + 12 = -4*l. Calculate the remainder when m(l) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaa when three letters picked without replacement from {v: 8, a: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5362293 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4791435 and 25\/5865878.\nAnswer: 967869870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -25, 0.24, 3.6, -0.4 in decreasing order.\nAnswer: 3.6, 0.24, 0.2, -0.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 225 + -0.311\nAnswer: 224.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 324*q - 319*q. What is the greatest common factor of q and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 20. Suppose -t = -3*w - 1. Let d(c) = -c - 10*c + 2*c**3 + 6*c - c**3 - w*c**2. Calculate d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71136 + -71140. Let x(h) = h - 4*h - 2 + 4*h. What is x(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = p - 7, -3*c = 9. Let j be 3 + -32 - -2 - -2. Let d = p - j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -848*o. Let w(v) = 53*v**2. Give t(w(s)).\nAnswer: -44944*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(14\/336*12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/25170004 and 23\/11642.\nAnswer: 25170004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 97994374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2988\/324 + -9*1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -681, -1001, -1307, -1599?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -0.9. Let n = -0.159 - 177.841. Let h = 177.2 + n. Which is the fourth biggest value? (a) x (b) h (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/40 + 5*h**4\/12 + h**2. Let f(b) be the second derivative of s(b). Let l(z) = z. Calculate l(f(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*x + 5, -3*x - l - 3 - 7 = 0. Let n be 2\/5 - 3\/x. Let w be (7\/21)\/((-1)\/(-15)). Solve -4*v + n = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33155046251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 681*v + 8. Let q(b) = -1365*b - 18. Calculate -3*q(a) - 7*r(a).\nAnswer: -672*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/9, 1\/2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*l + 22*l + 2*l**2 - 38*l to a*l + q*l**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 5*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -2\/21 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0324853ml in litres?\nAnswer: 0.0000324853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 818, 1621, 2424?\nAnswer: 3227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 111173*l + 1667598. What is k(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 33*z + 8120 = -38*z, 0 = 2*b + 5*z - 3276. Is 44 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 47\/13 (c) 0.2 (d) -2\/11 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + -4. Let j = -0.5 - y. Let u = 601.88 + -601.98. What is the closest to -0.1 in u, 5, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 2*i**3 + 7*i**2 - 1. What is the second derivative of v(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -169, -346, -525, -706, -889?\n\"Answer: -w**2 - 174*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 8*t**5 - 5*t**3 - 3*t**3 - 27*t**2 - 9*t**5 - 9*t**4 - 19*t**3 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 1326*w - 146523 = 0 for w.\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + (-5 - -10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 3 + 109 + 128 - 2*m in the form i + c*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, -2, 9, 0, 1 in decreasing order.\nAnswer: 237, 9, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:55 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -161 - -2?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttttjttttt. Give prob of picking 1 j and 1 t.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, 558\/11, -2.43, -1\/5 in decreasing order.\nAnswer: 558\/11, 5, 1\/5, -1\/5, -2.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(3 + 32\/(-4)). Let r(w) = 10*w**2 - w - 1. Let z be r(3). Suppose 0 = a*y - 9 - z. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 694\/5. Let u be (-33)\/(-9) + -2 - 1. What is the nearest to u in k, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -5*v + 2*h, 4401*v = 4396*v + 2*h + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {s: 1, w: 10, t: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -4*v - u + 337, -v + 4*u + 138 = 0. Suppose -v*n + 124*n + 40 = 0. Solve 0*w = -4*w - n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*v - 94*v + 96. Suppose 2*c + v = -6*c. Let l(x) = -16*x - 9. Is l(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + v - 1. Let k(q) = -5*q**2 - 4*q + 2. Determine k(t) + 3*u(t).\nAnswer: -8*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*h = -h - 915, 5*h - 919 = -2*k. Let w = 465 - k. Solve -10*a = -12*a + w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77059427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 386316 and 27235278.\nAnswer: 54470556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 10 - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -51*g**2. Let l(x) = -15*x - 1. Determine l(d(k)).\nAnswer: 765*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (270\/(-48))\/15 - (-6)\/(-240). Which is the smallest value? (a) 562 (b) p (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-5)*k)*k*k))\/(k**(-2\/3)*k*k))\/(k**(-2\/15)*k*k*k**4\/k) assuming k is positive.\nAnswer: k**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/12 + 5*k**3\/3 - 5*k**2 + k. Let x be t(9). Put 3\/2, -0.4, x in increasing order.\nAnswer: x, -0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15575, -15338, -15101, -14864, -14627, -14390?\nAnswer: -14153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65672 is divided by 1391.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.91 + -10. Let a = -263.84 + 264.04. What is the nearest to 1\/3 in a, 2, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 213*z**2 - 137*z + 16306. Calculate i(-214).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 3, 5\/6, 4, -0.16, 2\/15 in increasing order.\nAnswer: -3\/7, -0.16, 2\/15, 5\/6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 5*w. Suppose -3*v = -5*y - 2, -2*y = -5*v - y + 40. Let j be v\/(-2) - (-8)\/(-16). What is the nearest to -1 in j, w, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 4. Let w be o(-7). Suppose -5 = -4*u + w*u. Suppose -n = 3*y - 9, 5*n = -u*y + 5 - 0. Solve -y*f - l = -4*l + 24, 2*f = l - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*17702258.5.\nAnswer: 708090.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 4, 1, -3, 20, -9 in descending order.\nAnswer: 20, 15, 4, 3, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 1866*c**2 - 769419*c + 15307110.\nAnswer: 3*(c - 267)*(c - 21)*(c + 910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 53254 - 11018. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*s + 1881 - 18 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 70. Suppose 2*g - h = 5. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrurrrturrrrr. Give prob of picking 1 r and 1 t.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsm when three letters picked without replacement from hmmenssnmtn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14376084 is divided by 4964?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 117*u + 4451. Let t be y(-38). Sort -10, -4, 117, t, 0 in descending order.\nAnswer: 117, t, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q - 10. Let f be t(-3). Factor -11*o**2 - 2*o + 2*o**f + 14*o - 19*o**2.\nAnswer: -4*o*(7*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5670725 is divided by 524?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3602 and 172.6.\nAnswer: 172.9602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 13\/(-5))*(-1150)\/2070. What is the closest to 0.1 in 5, 2\/6839, l?\nAnswer: 2\/6839","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 3728, 15 in increasing order.\nAnswer: -32, 15, 3728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ykkykkky?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a7 (base 14) in base 4?\nAnswer: 321123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:12 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -2 + sqrt(931) + sqrt(931))*-5 + (sqrt(931) - (sqrt(931) + 2 + 5)))**2.\nAnswer: -630*sqrt(19) + 209484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:25 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**3 - 7*q**3 + 9*q**2 + 12 + 4*q - 5*q. Let w be k(9). Let i be (2\/w)\/(4\/12). Solve -c - i = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1734 divided by -6?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167*v + 167*v + 55 + 47*v**2 wrt v.\nAnswer: 94*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 10. Let i be f*(254\/4 + 2). Does 14 divide 6\/(-9) + i\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 43*f - 42. Let i = 206 - 189. What is the hundreds digit of n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/9)\/(1072\/(-25728)))\/(4\/(-27))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/((-169)\/20 - -9)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 14. Let b = 22 + y. Let n(d) = -d**3 + 8*d**2 + 2*d - 11. Give n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 6*p**2)*(-260 + 38 + 47 - 4*p**2).\nAnswer: -24*p**4 - 1050*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, w: 5}. What is prob of sequence bbb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + 22\/6. Let j be 3\/(-12)*0 + z. Solve t - 5 = -4*d - 0, d = -j*t - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - -79 - (-5 + 5 + -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2, -12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -70409.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14209.00000136476 - -14209. Round f to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -47\/24*f**4 + 0*f**3 + 0*f + 0*f**5 + 0 + 27*f**2 + 19\/120*f**6. Find the second derivative of i(q) wrt q.\nAnswer: 114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.04522?\nAnswer: -0.04522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/3 + 2*i**4 + 7*i**3\/3 - 2*i**2 - 8*i\/3 = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*n**2 + 305*n**2 - 147*n**2 in the form m + v*n**2 + b*n and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144452 divided by 5.\nAnswer: -144452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, y: 1, h: 2, l: 1}. What is prob of picking 1 s, 1 y, and 1 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2 + 8 - b**2 + b - 17 + 12. Determine y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139334 and 96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 + 5*f**3 + 235*f**2 + 5405*f wrt f?\nAnswer: -24*f**2 + 30*f + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0142 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/4344516?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -436 + 1045. What is the least common multiple of w and 58?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 25*y**4 + 25*y**3 - 10*y**2 - 20*y - 5. Let a(g) = 24*g**4 + 25*g**3 - 11*g**2 - 21*g - 5. Let i(v) = 5*a(v) - 4*h(v). Let i(l) = 0. What is l?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/33257 or -1?\nAnswer: 10\/33257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*h = -1470 + 1488 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3012770*i**3*w + 678*i**3 - 29*i + 1 wrt w.\nAnswer: -3012770*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 31 (b) -60 (c) 2 (d) 5\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let a be (0 - 0)\/(0 + 5). Determine q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-92 + 96 - (1 - -10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 93*f**2 + 6*f + 3. Let r(h) = -h**3 - 742*h**2 - 51*h - 23. Calculate 17*l(y) + 2*r(y).\nAnswer: -2*y**3 + 97*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/((-52)\/(-24)) - (-1311817)\/81. Let r = -16202 + c. Calculate the common denominator of 73\/99 and r.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1580, 1589, 1624, 1703, 1844?\nAnswer: 2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 34 = 2*g, 8*g = 4*g - q + 40. Find the third derivative of -13*d**3 + g*d**2 + 27*d**3 + 6*d**2 wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*z - 4*j**2*z**2 - 78*j**2*z - 7*j + 836*z**2 wrt j?\nAnswer: -6*j*z - 8*z**2 - 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**6\/360 + t**5\/120 + t**4\/3 + 4*t**3\/3 - 3. Let i(y) be the third derivative of v(y). Determine i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/4 - 5*m**2\/2 + 4*m. What is the derivative of x(h) wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-112)*(-6)\/14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 43. Let y be (70\/8)\/((-7)\/l). Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1525 or 1498?\nAnswer: 1525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/18 and -37\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c. Let f(o) = 27*o + 11. Let t(x) = 13*x + 5. Let z(n) = 6*f(n) - 13*t(n). Determine w(z(k)).\nAnswer: -28*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 3*g**2 - 212*g - 2 - 3*g**2.\nAnswer: 2*g**2 - 212*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-4))\/(-2)*(-406)\/76125?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2\/7, -3, 0.6 in increasing order.\nAnswer: -3, -2\/11, 2\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let a(l) = -9*l**2. Let b(m) = -a(m) - 18*x(m). Let q(y) = -2*y**2. What is b(q(k))?\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose -n + 12 = -m*n. Solve f - 3*x = -4, -3*f + x - n = -x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1602*u**3 + 1325862*u - 1325865*u + 2043*u**3.\nAnswer: 3645*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r**2 + 5*r + 2*r + 2*r**2. Suppose -6*a + 264 - 300 = 0. Let g(u) be the first derivative of -2*u**3\/3 - 3*u**2 + 263. What is a*v(w) - 7*g(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1\/4, 3, 3\/7, -198?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -459444 and 0.3.\nAnswer: -459443.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/11, 3\/230, 28360?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*w - 8. Suppose -w*x + 2*o + 9 + 4 = 0, -3*o + 3 = 0. Let q be 1 + 3\/3*1. Solve x*r = 3*p + 9, -3*p - 7 = 2*r + q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 27. What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12606 and 12605 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3178970 is divided by 2527.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)*b*b**(1\/3)*b assuming b is positive.\nAnswer: b**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = 2*p + 9, 5*a - 7 = -4*p. Let t = -2127 - -2187. Suppose t = p*w - 180. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 6*z + 17*z - 2*z - 6*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -d87331 (base 14) to base 8\nAnswer: -33726537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.3, -3, -1, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -53*v**3 - 954*v**2 + 13*v + 241. Give l(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 2 u when four letters picked without replacement from weeuuwee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6 = -5*h, -765168*t + 16 = -4*h - 765170*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 39, 4\/9?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 2. Suppose 0 = -4*s + u + 59, -2*s - l = -3*s + 5*u. Suppose -s*v + 12*v = -50. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 35*w**2 - 2*w**4 + 601 + 4*w**3 - 298 - 303 in the form k*w**3 + j*w**2 + h*w + b*w**4 + g and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 1. Suppose -5*z - 13 = c, 0 = z - 5*c - 6 - 7. Let p be q(z). Let x be (-24)\/(-40)*(6 - p). Solve 2*n = n + x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 48. Solve s*v + 3 = 0, -3*o - 2*v = -3*v + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 - i + 5. Suppose 0 = -5*s - 4*l - 2, -2*s + 0*l = -2*l - 10. Suppose -h - 3 = h - z, s*z = 5*h + 6. List the prime factors of y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8392610633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(38) - sqrt(1862)*-1))\/((sqrt(2) + sqrt(10)\/sqrt(5) - sqrt(2))*5).\nAnswer: -7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21680815?\nAnswer: 5, 13, 43, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 913 and 55?\nAnswer: 4565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -18. What is the second biggest value in -1, -5, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 8\/7, 3.3 in decreasing order.\nAnswer: 8, 4, 3.3, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 21*r + 12. Let k be m(-10). Factor 8*h + 5*h**k - 2*h**3 + 23*h**2 + 7*h**3 + 7*h**3.\nAnswer: 4*h*(h + 2)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55792 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h - 12762 - 3388. Let d(x) = -x**3 - 17*x**2 - x + 33. Let k be d(-17). Calculate the greatest common factor of h and k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j = -36*j - 22658 + 88688. What is the highest common divisor of j and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 0*z + 0*z + ((-2*z + 2*z + 2*z**2)*(-1 + 2 + 1) + z**2 - 5*z**2 + 2*z**2 - 12*z**2 + 11*z**2 + 13*z**2)*(0*z**3 + 2*z**3 + 7*z**3).\nAnswer: 124*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8.5. Let w = -6.24 + -250.76. Let r = w - -251. Which is the closest to 0? (a) y (b) 2\/23 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 12*p + 3*r + 18 = 0, 3*p + 4*r - 44 = 0. Let j(m) = 61*m - 35. Is j(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*a - 37 = -2*z, -a - 42 = -2*z. Suppose -11*t - z*t + 29190 = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 0*w - 180 = 25*w. What is the fourth smallest value in -16, w, -5, 1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43080601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:05 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45439 + -45439. Let k = -17\/9 + 181\/72. Which is the second biggest value? (a) 6 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 + -142. Calculate the remainder when 89 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 11:11 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*q + 4. Solve 2*x - 13 = -q*b + 3*b, 5*x + 2 = 4*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39263452 divided by -1?\nAnswer: -39263452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzkzkkgkgzgg. What is prob of sequence gkg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51\/4 + -13. Let n = -7 + 6.93. What is the nearest to 0 in -5, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.1733 and -4.\nAnswer: -28.6932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 275 + -267. Let r = 7\/2 - 17\/6. Which is the nearest to j? (a) -1\/2 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 223 and 2589530?\nAnswer: 2589307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 216*r - 45. Let j be b(7). Let h = j - 7393\/5. Calculate the common denominator of h and 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1036 - 2330?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-2 + 14\/28)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.7889 millilitres to litres.\nAnswer: 0.1817889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 20. Let o be (y*-7)\/(5\/55). Let z = 114 + o. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 459 + -462. Let m be ((-12)\/(-8))\/(3\/4). Suppose m = 5*r - 3*r. Put r, -5, l in descending order.\nAnswer: r, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 1. Let r be v(4). Let k = 12 + -31. Let n = k - -45. What is the highest common factor of n and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 98 - 64 - 34.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -833 - -9647?\nAnswer: 8914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) -1 (b) -44\/49 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:06 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 8\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1636490 and -89\/2480.\nAnswer: 13091920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 - -3. Let l = 3.5 + -2.5. What is the biggest value in l, m, 3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239 - 240. Let y(o) = -25*o**3 + 2*o + 1. Calculate y(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*(1 + -1). Is 79 a factor of ((-933)\/(-6))\/(1\/4) + d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 20. Let i = 3 - u. Let j(m) = m + 1. Let x(c) = c + 2. Suppose 4*q = -0*a - 2*a + 6, -q + 2*a - 1 = 0. Give i*j(h) + q*x(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029706 rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -664 + -1103?\nAnswer: -1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 6*z**2 + 6*z + 105 - 105 + 6*z**4 - 2*z**5. Let o(a) = a**4 + a**2 + a. Let d(f) = -12*o(f) + 2*u(f). Solve d(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52801, -106037, -160159, -215611, -272837, -332281, -394387, -459599?\nAnswer: -528361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1164 and 642.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 - 6 - 60*f + 6 to the form g*f + h and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56\/98 - 20866\/(-14)?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32764757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-365)\/(-219) - (-393)\/(-36)*4).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332208, -664416, -996614, -1328796, -1660956?\nAnswer: -1993088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 0. Let t(n) = -3*n**3 + 2*n**3 - 7*n - 6*n**2 - 5 - n. Is t(k) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1) + 8\/4. Suppose g = a*g - 108. What is the highest common divisor of g and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -379*x**3 + x + 1. Is l(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*r - 53 = 34, -3*r = -3*a + 63. Solve -5*f + 10*w + a = 13*w, 3*w = 2*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317 and 506249.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*v*z**3 + 74*v*z**2 - 1 wrt z.\nAnswer: 1038*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1264 + 0.3736. Let m be (-345)\/(-25)*1\/12. Let k = m + -2\/5. What is the fourth biggest value in f, 0.3, k, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2382, 0, 5, 111 in decreasing order.\nAnswer: 2382, 111, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 1391743 = 382657. Round j to the nearest 1000.\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2979 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2046 > -2046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 10*l - 10*l + (51 - 18 + 59)*(l**2 - l**2 + 4*l**2) - 5*l**2 + 2*l**2 + 2*l**2 to m*l**2 + w + g*l and give m.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 218*r**3\/3 + 16717*r**2\/3 - 175708*r + 1948908.\nAnswer: (r - 78)**2*(r - 31)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + y = 423, -2*q - 160 - 14 = -2*y. Let g = q + 87. List the prime factors of ((-20)\/(1 - g))\/((-6)\/(-42)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + -5 + 488\/40. Factor -4\/5*u + s*u**2 - 2\/5.\nAnswer: 2*(u - 1)*(3*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -3*v**5\/10 - v**3\/6 + 15*v**2\/2 - v + 48. Differentiate m(g) wrt g.\nAnswer: -18*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112893 and -9.73.\nAnswer: -1098448.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41497499 to four dps.\nAnswer: -0.415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssg when three letters picked without replacement from {m: 4, g: 2, s: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*z = -6*z - 116, -2*z + 124 = 4*g. Let c = 75 + -54. Calculate the lowest common multiple of g and c.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, x: 2, l: 7, d: 1, e: 5}. Give prob of picking 1 d, 1 x, and 1 e.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - o + o)*(47*o - 51 - 53*o + 75)*(4 - 4 - 4) to the form t + j*o**2 + w*o and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4232 (base 7) in base 2?\nAnswer: -10111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3 - 116 - 49*c**2 - 71*c**2 - 791*c + 557*c = 0.\nAnswer: -58, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 235, 1850, 6229, 14752, 28799, 49750?\n\"Answer: 230*v**3 + 2*v**2 - v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.31, -1, -7 in increasing order.\nAnswer: -7, -1, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286437 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000702228071 to six dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n - 26. Let h = 9 - -19. Let b be (3\/2 - 0)\/(6\/h). Does 15 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355 divided by -4\nAnswer: -355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 + 3*c. Let x(n) = -2*n**2 + 3*n - 1. Let j(d) = -3*l(d) + 4*x(d). Let a be j(-4). Suppose 5 + a = -5*y. Is y less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3506*q**2 - 1694*q**2 - 1811*q**2 - 13*q - 8. Determine z(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138928?\nAnswer: 2, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -36, -89, -164, -261, -380?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11d - -d8c?\nAnswer: 10ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 1:59 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q + 0*q + 0*q)*(-2 + 14 - 4) - q + 1 - 1)*(-5 + 8 + 5)*(1 + 1 + 1).\nAnswer: -408*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 3 + sqrt(75) + sqrt(75)) + 1.\nAnswer: -30*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6.97. Let b = -1.03 - r. What is the nearest to -0.1 in -2, b, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3\/5*s**3 - 93\/5*s**2 - 672\/5*s + 768\/5 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552811268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3. Let s be k(-3). Let a(f) = -f**3 + 7*f**2 - 5*f + 3. Let c be a(s). Let g = c - 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 18 - 13. Let v(y) be the first derivative of y**2 - 2*y + 12. What is v(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*w - 133 + 52 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -62497.\nAnswer: 13\/62497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 1409442*f - 45*f**2 - 5*f**3 + 45*f**2 - 1409442*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 10199837?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 44, -3 in decreasing order.\nAnswer: 44, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 17255399.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f + 15*f - 2*f)*(-f + 0 + 0 + 2).\nAnswer: -23*f**2 + 46*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.3. Let l = -2 + 11\/5. Which is the nearest to -0.2? (a) h (b) 2\/21 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 68 + 16 = 2*f, -2*f - 114 = 5*a. Let g = a + 112\/5. Do 8\/9 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50327, 101142, 151957, 202772?\nAnswer: 253587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 4*d + 19635, 3*n - 11781 = -5*d. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 256, -5\/3, -1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19325 is divided by 4828?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 637*f.\nAnswer: -637*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122135954 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/4 + 4*s**3\/3 - 4*s**2 + 5*s - 23. Let g be q(-5). Suppose -22 + g = j. Put j, 4, 1, 3 in descending order.\nAnswer: 4, 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3\/6 - y + 281. Let b(v) = 713*v. Give c(b(s)).\nAnswer: -713*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799924849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -2*n**2 + 0 + 0*n + 25\/12*n**3 + 1\/120*n**5 + 5\/24*n**4. Determine s, given that j(s) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 334, 336, 338, 340?\n\"Answer: 2*f + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3011 - 66221\/22. What is the common denominator of 103\/20 and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -17. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - b**4\/6 - b**3\/2 - 2*b**2 + 3*b. Let h be t(5). Let m be (3\/2)\/((-3)\/h). What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d. Let h(b) = -3*b - 4. Let n be h(-2). Let c(p) = 5*p**2 - p**2 - n*p**2. Determine v(c(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 - 5*k + 7. Let c be j(7). Let p be -5*(237\/(-15) - 1). Let y = c - p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 6 = 14*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (108\/7)\/(6\/56) and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10988 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -245, -333, -415, -491, -561?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.42. Let z = 0.02 + d. Is -1\/4 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - 12. Let n = 29 + s. Sort n, 4, -3\/2.\nAnswer: -3\/2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -736\/11. What is the closest to -0.2 in 0.1, 0.5, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 3*v**3 - 3*v**3 + (0 + 2*v**3 + 0)*(1 - 2 - 2) + (3*v - 3*v - v)*(-3*v - 2*v + 4*v)*(0 + 0 + 2*v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(48\/1))\/((-10)\/(-8))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s*(s*s\/s**(-3))\/s)\/(s**(-2)*((s**(-3)\/s)\/s*s*s)\/s) assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -13. Let l be h\/36 - 13\/(-6). Suppose l*d = 3*d - 32. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*i - 17 - 25 + 65 - 23.\nAnswer: -135*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(300) - sqrt(300)*1)**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 1)*(0 - 1). Let u = 6 - m. Solve -5*x + u*q = 10, -5*x - 20 - 15 = 2*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11588656 and 17382984.\nAnswer: 34765968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40795 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*p - t - 23, 152 = 3*p + 4*t. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1435, -2866, -4297, -5728, -7159?\n\"Answer: -1431*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6223 is divided by 1223?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2730*k**2 + 339*k*m + 707399*m wrt k?\nAnswer: -5460*k + 339*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v + 31. Calculate g(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Let t(g) = -41 + 17 + 11 + 9 + 7*g. Let l(h) be the second derivative of -4*h**3\/3 + 5*h**2\/2 - 3*h. Give m*l(p) + 7*t(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23010202 + 100103?\nAnswer: 23110311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-1)\/((-4)\/(-356)). Let j = 528 - 380. Let p = j + m. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135214 is divided by 45062.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -7\/12*g**6 + 1\/3*g**4 - 3 + 0*g + 71*g**2 + 0*g**5 + 2\/3*g**3. What is the second derivative of q(z) wrt z?\nAnswer: -420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 440710 + 440420 = 0 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 16*t**2 - t**2.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 7, 13\/5, 2\/7, 2\/3 in increasing order.\nAnswer: 2\/7, 0.5, 2\/3, 13\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 84. Calculate the remainder when f is divided by (-30)\/9*18\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:32 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -6. Suppose m*w + 0*d = -d - 2, -3*w + 3*d + 6 = 0. Solve w = 3*z - 6 - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 5*s - 7*s + 26.\nAnswer: -s + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2892 + 1774 + 1269 - t + 2*t.\nAnswer: t + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 7. Let k be r(-10). What is the biggest value in -5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 4:14 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3\/4 - 1214*i**2 + 17771*i\/4 - 4845\/2 = 0. What is i?\nAnswer: 2\/3, 3, 1615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-10)\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-4))\/68)\/(5*(-12)\/(-120))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192517, -2384873, -3577229, -4769585, -5961941?\nAnswer: -7154297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/12*3 + -1. Suppose -5*g = -f*g. Suppose g*p + 76 = 4*p. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.7 - 14.1. Let l = p - -24.79999863. What is l rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 - 2*l**2 + l**4 - 2 + 0 + l**3 + 1 to s*l**3 + f*l**4 + o*l + z + k*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-24) + ((-44)\/304 - 0). What is the smallest value in -3, -0.06, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g + 5. Let o = -24 + 28. Suppose -o = -3*r + 4*r, -4*t - 2*r = 40. Let z(b) = -3*b**2 + 3*b - 14. What is t*u(y) - 3*z(y)?\nAnswer: y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -25870.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 - 5055653.37.\nAnswer: -5055655.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/17 or 791635?\nAnswer: 791635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6776 and 25772516.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from cjkcykjyc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*2 + 4)*4.\nAnswer: 16 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -679, -46, -4 in increasing order.\nAnswer: -679, -46, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 6:17 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(245)*-2 - sqrt(245)).\nAnswer: -sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -456*w**3 + 1347*w**2?\nAnswer: -2736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 2*l, 5*l = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*1 - 468\/108. What is the fourth smallest value in 0.4, z, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255266 divided by -1\nAnswer: 255266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/4 + p**3\/3 - p**2\/2 + 216. Let l(c) = 3*c**3 + 5*c**2 + 2*c. Give l(a) - 5*n(a).\nAnswer: -2*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -2 - (256\/30)\/(-4). Let r be (-4)\/(-10) - (-13)\/5. Suppose -13 - 4 = 2*k - 5*z, r*k = -4*z + 9. Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((266050\/(-408))\/313)\/(5\/(-6))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*x + 0)*(1 + 0 + 7)*(1 - 7 + 3)*(6 + 3*x - 6).\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/4 + 16758\/(-1140))*2\/(-740) and -14\/1665.\nAnswer: 16650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0098522 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(35)\/sqrt(5)*-2.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000433 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - p - 1. Let z be k(-2). Suppose 5*a - 5*u + 45 = 0, -5*a - 25 - 22 = -3*u. Let l = z + a. Solve 2 - l = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywmy when four letters picked without replacement from yqnwxym?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 + 7*f + 9. Let n be z(4). Suppose -3220 = -5*i + n*k, -40*i - k + 3238 = -35*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 16 (c) 0.1 (d) -35.6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 26*f**2\/11 + 37650*f - 63716\/11 = 0.\nAnswer: -15929, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*x + 2, 3*i + 3 = 3*x. Solve 2*p - 5*p - 6 = i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1237068 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/(-16) + (-1)\/4. Suppose u - 2*u - 5*x + 28 = 0, 9 = 3*x. Let h = -7 + u. Solve 5*v - 5*f - h = 19, v = k*f + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(1\/7)*b\/b**(-7)*b**(1\/3) assuming b is positive.\nAnswer: b**(523\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 30800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 122111022 (base 3) in base 4?\nAnswer: 3013100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1.95. Suppose 2*u + 11 - 139 = 23*o, -3 = 3*u - 2*o. Does g = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 7 - (3 - 5 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 86 = 10. What is the greatest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7344 and 6?\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*(-7)\/28)\/(6\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-5 - -2)) + (-940)\/(-160)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/342*-12*1\/9.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/5, 1, 10\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -411 + 429 + 17 + 0 - 97.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -7 + -2 - (-18 + -24)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 + 2*q + 29. What is c(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 4. Let m be l(4). Let u(a) = 30 - 4*a**2 - 31 - a**3 - 2. Calculate u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(297)\/(sqrt(11)*-2))\/(2*sqrt(900)) + 5 + 2)**2*6.\nAnswer: -12*sqrt(3)\/5 + 307209\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-4*(1*sqrt(360) + sqrt(360) + sqrt(10)))\/((sqrt(144)*-1)\/(sqrt(8) - sqrt(648)*2)))**2.\nAnswer: 97682000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 1. Let o be s(-1). What is the least common multiple of 12 and ((-8)\/(-4))\/((-1)\/o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 1)\/((-6)\/(-20)*-2). Solve -4*h + 3 = -b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p + 6. Calculate r(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18290685 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(56)\/(sqrt(32) - sqrt(8))*6 - (sqrt(7) + sqrt(49)\/(sqrt(28)\/sqrt(4)) - (sqrt(112) + -5)))**2.\nAnswer: -2838 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/(-102)*(-88)\/60.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31674 is divided by 31045.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpcppqwwphpphchw. Give prob of sequence wc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 6*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5 = 5*o. Let p = -2 - o. What are the prime factors of -3 - (-16 + 3) - p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162036 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13010?\nAnswer: 2, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 5:36 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/14)\/f**(1\/10))\/(f**(-1))**(1\/20))**27 assuming f is positive.\nAnswer: f**(-459\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 + 11*s - 14. Is b(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0 + t**4 + 0*t**2 + 2*t + 1\/6*t**3. List the prime factors of f(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v + 11. Let t(q) = -5*q - 4. Let m(d) = -6*a(d) - 17*t(d). Suppose 0 = 12*r - 41 - 7. Suppose 2*h + 4 = r*i + 14, -1 = h + 4*i. Calculate m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22544436 (base 7) to base 12\nAnswer: 7b4556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {b: 1, n: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 32. Suppose -b*c + c + 100 = 0. What is the remainder when c is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 - (1692\/(-1584) + (-4)\/22))*296 is divided by 184.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 4*m - 1. Let n(g) = -2*g - 1. Let l be n(-2). Calculate d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*n + 3 + 259*n - 1 as j*n + g and give j.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-34 + 86) - -67?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2363964 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6184930307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4666, -9312, -13934, -18532, -23106, -27656?\nAnswer: -32182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000828 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -90*n + 86. Let z be h(-7). Let g = 1698 - z. List the prime factors of g.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*d + 173, 2*a - 137 = 2*d + 3*a. Suppose -5727 = -103*p + 20*p. Let v = p + d. Solve -v = -f - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 17. Let r be y(4). Suppose 21 + 17 = 2*k + r*s, -4*s + 9 = k. Which is smaller: k or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**3 - 11*z**3 + z**2 + z - 40*z**4 + z**2 in the form r*z**2 + y*z**3 + b*z + c + i*z**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1225 - 627 + 28*r**4 + r - 598 + 6*r**3 in the form b*r**3 + s*r**4 + q + k*r**2 + n*r and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999887137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = 9*d - 19*t - 110, -10 = 2*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/12 - 11\/6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5445b + 1?\nAnswer: -5445a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 20*l**2 + 106*l - 34. Let s(z) = 7*z**2 + 35*z - 12. Give 6*o(g) - 17*s(g).\nAnswer: g**2 + 41*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/12*((20 - 18620\/945) + 0).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 1, w: 2, b: 1}. What is prob of picking 1 x, 1 l, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 2667269?\nAnswer: -69348994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -13 - -6) + (56 - 9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20540, 40884, 61228?\nAnswer: 81572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 5. Let o be -4*(1 - p\/(-2)). Let v be (0 + 1\/2)\/((-19)\/76). Sort -3, v, o in decreasing order.\nAnswer: o, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 15, 0*r - 345 = -5*l - r. Calculate the smallest common multiple of 22 and l.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.21928m to nanometers.\nAnswer: 99219280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 7 = -n + 2*l, -l - 7 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 - 2*y + 40\/9.\nAnswer: 2*(y - 5)*(y - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -16*o + 18. Let h(f) = -4*f - 2*f + 1 + 5*f. Let d(y) = 36*h(y) - 2*t(y). Let j(l) = 2*l**2 + 76 + 0*l**2 - 76. Determine j(d(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 32*m - 383. Give t(6).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*y + 16 = 0, 11 - 35 = -5*j + 2*y. Suppose -2*i + 8 = -4*n, 0 + j = i + n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4841 - -14522\/3. Is f at most as big as -9066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + 3*y**2 + 3*y - 6. Let d(n) = -3*n**3 + 2*n**2 + 4*n - 4. Determine 3*d(w) - 2*z(w).\nAnswer: -3*w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didddddddidi. What is prob of picking 1 i and 1 d?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 30677835.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -252*k + 55566 + 2\/7*k**2 = 0.\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266981370 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9*(-5 + -2 + -2). Let z(f) = -3*f - 4. Let d be z(s). Put d, -4, -50 in increasing order.\nAnswer: -50, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21512*c - 234 + 186 + 48.\nAnswer: -21512*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 9. Suppose -w - 4 = -z*w, -w - 3 = 5*h. Let p = 9 - h. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -1\/4 (c) 20 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4296, 8597, 12900, 17205, 21512?\nAnswer: 25821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17040)\/1065*((-1)\/(-3))\/(10\/3)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**5 - 30*p**4 + 5*p**3 + 30*p**2 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4936 + 4935. What is the closest to t in 5, 16, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*z + 9*z - 1505*z.\nAnswer: -1331*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2722 or 2723?\nAnswer: 2722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -106827293234?\nAnswer: 106827293235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572433042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000199 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14936325.\nAnswer: 3, 5, 199151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605443487 is divided by 335.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Let m(g) be the first derivative of 8\/5*g**5 + 0*g + v + 8\/3*g**6 + 0*g**2 + 1\/3*g**3 - 7\/4*g**4. Factor m(f).\nAnswer: f**2*(f + 1)*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x + 88. Let r be o(8). Suppose -19*n = -r*n + 15. Put -4, 2, n, -18 in ascending order.\nAnswer: -18, n, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411891870 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 499*l**5 + 30*l**4*r**2 + 3*l*r**2 - 11*l*r + 129*l - 2*r + 1 wrt l.\nAnswer: 9980*l**3 + 360*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70647.24 grams in milligrams?\nAnswer: 70647240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302023?\nAnswer: 149, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 2*l + 0*l. Let m = 116 - 95. Let k(t) = -10*t + m*t - 3*t - 2*t. What is k(a(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151668163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*f*m**3 - 22005*f*m + 2*f + 4*m**3 - 706896*m**2 wrt f?\nAnswer: 47*m**3 - 22005*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73242 and 26918?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*v + 1)*(2*v**2 - 3*v**2 + 2*v**2) + (-3*v**2 + v**2 + 0*v**2)*(-20*v + 19 - 19) as n + t*v**3 + g*v**2 + b*v and give t.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8656 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-2 + 6 - 2)*(-1 - 3 - 6)*(10 - 10 + 5*f).\nAnswer: -200*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -39. Solve 0*x - 2\/7*x**2 - 2\/7*x**4 + s - 4\/7*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530150 divided by -2?\nAnswer: -2265075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:53 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 5, -52 in decreasing order.\nAnswer: 5, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575415 and 1060200?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -539*l + 2. What are the prime factors of n(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - m**3 - 4*m**3 + (-3*m + 2*m + 0*m)*(8 - 8 + 6*m**2) - 378*m**2 - m**3 + 378*m**2)*(-10*m - 3*m - 5*m + 29*m).\nAnswer: -110*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, -5*m + 10 = -o - 0*o. Suppose 2 - 6 = -m*f. Calculate the remainder when 4 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7776660 (base 8) in base 10?\nAnswer: -2096560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -22, -44, -74?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 6 + 6 - b**3 - 2*b**3 as k*b**2 + w + x*b**3 + u*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*c - 16, -5*w = -20 - 0. Is 5 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - 319\/16936*264.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307 (base 9) to base 5.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2367, 4666, 6973, 9288, 11611, 13942, 16281?\nAnswer: 18628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/18879 and -43\/396459.\nAnswer: 396459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3474 + 3474.0214. What is r rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/3 (b) 2\/17 (c) -655.6 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2076 = 158*x + 15*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/460880 and -36\/77?\nAnswer: 5069680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + 194 - 132 - 446 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -501*t + 492*t. Suppose a + 18 = -0*a + 4*c, -c = 2*a. Put a, t, 4 in ascending order.\nAnswer: t, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 2, g: 9}. Give prob of sequence igo.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/(-1065))\/(6*5\/(-16650))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 65, 0, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*p - 1 + 125*p - 527*p**2 - 52*p to l*p + h*p**2 + y and give h.\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127167 and 2793.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14915242 is divided by 532687.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -1)\/(-2 + 1). Let g(t) = t**3 - 8*t**2 + 8*t - 5. Let h be g(c). Suppose h*j = u + 133, -u + 3*u = j - 65. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(130)*1)\/(sqrt(640)*-2) + 4.\nAnswer: -sqrt(13)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112351 and 12307?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16657241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*w + 18, -50*w = -5*i - 52*w + 14. What is the derivative of -72*y**4 - 77*y**i + 17*y**4 + 83 wrt y?\nAnswer: -528*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 62, -147 in ascending order.\nAnswer: -147, -4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 6. Let w be l(1). Let m = w + 319. List the prime factors of m.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 4\/27 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddimmcddiduddiu. What is prob of sequence idiu?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 minus 0.29929507362?\nAnswer: -40.29929507362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(144))\/sqrt(2).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.8957l?\nAnswer: 45895.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1003 - 1002. Let l = -1274\/11 - -116. What is the second biggest value in l, -2\/11, o, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 8*i**2 - 13*i - 30. Let f be j(-9). Solve f*c = -c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2439)\/(60\/(-360))\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190 + -93. Let x = b + -110.2. Round x to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(57) + sqrt(57))\/sqrt(3) + 1 + sqrt(19)*2)**2 + 4.\nAnswer: 8*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7335 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 4*c - 1324. Calculate the remainder when 468 is divided by y(40).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 26. Suppose 5*u + 5 + 0 = 0. Let g = u + h. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*2555.\nAnswer: -5365.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 48. Determine n(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((-30)\/(-50))*(-102)\/(-510)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/(-14) + 2\/(-7). Let o = -17 + 46. Let n = 53 - o. Calculate the highest common factor of n and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -74538.\nAnswer: 7\/74538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {r: 2, q: 1, y: 8, n: 1, i: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j + 2. Let b be x(-4). What is the tens digit of 3 + (b - (-4)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5804*y**3 - 262*y + 11604*y**3 - 5801*y**3.\nAnswer: -y**3 - 262*y","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is prob of sequence zar when three letters picked without replacement from warzwby?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180157180.9999988 + -180157151. Let f = -18 - 12. Let v = f + j. What is v rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -220.98 - -228. Let r = f - 7.8. Let t = r + 9.08. What is t rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102, -455, -1428, -3333, -6482, -11187, -17760, -26513?\n\"Answer: -52*h**3 + 2*h**2 + 5*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 10. Calculate c(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 times 58704\nAnswer: -21720.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*c - 380, -4*c - 4*j = -3*j - 310. Let q = c - 0. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5\/3 + c**4\/3 + 4*c**3\/3 - 4*c**2\/3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.378 + -1.318. What is the biggest value in l, 5, 1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -2 - (0 + 72998). Round t to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20339 (base 13) to base 8.\nAnswer: -160515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46067494*a**2*w + 38*a - 4*w + 24929 wrt a.\nAnswer: 92134988*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (244 + -268 + (-2 - (-2 - 0))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1043, -2, 1039, 2080?\n\"Answer: 1041*x - 2084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1680 and -13\/1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 28*v. Let u(c) = 85*c. Give 10*j(r) - 3*u(r).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3 - 678*m + 9582 wrt m?\nAnswer: -3*m**2 - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3421, -3394, -3389, -3418, -3493?\n\"Answer: -2*d**3 + d**2 + 38*d - 3458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 3, s: 1, l: 7, r: 7}. What is prob of sequence ln?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 2. Calculate d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.87, -1.6 in decreasing order.\nAnswer: 1, -0.87, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5568 (b) 1\/7 (c) 10 (d) -9 (e) 2\/9 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:04 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 5*m**4\/12 - m**3\/2 + 12678*m. Let g(j) = 6*j**2 - 4*j - 4 + 2 + 1. Calculate 3*g(n) - 4*o(n).\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*a**2 + 27*a**2 + 243*a**2 + 181*a**2 + 109*a**2)*(5*a + 4*a - 6*a).\nAnswer: 1548*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 3. Let y be j(2). Let q = -18491 + 18492. Put y, 4, q, -3 in descending order.\nAnswer: y, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-108955)\/21)\/(-11). Let t = d - -968. Calculate the common denominator of -8 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166*k**2 + 188*k**2 + 222*k**2 + (0 + 0 + k)*(3*k - 3*k + 2*k))*(9*k - 7 + 7)*(-3 + 0 + 1).\nAnswer: -10404*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l - 182. Calculate o(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 4748635?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 - 87*x**2\/2 + 2895*x\/4 - 2625.\nAnswer: 3*(x - 28)*(x - 25)*(x - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246321*s**2 + 66665*s wrt s.\nAnswer: 492642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/19 + 2\/19. Let a = -7 - -5. What is the second biggest value in 2\/7, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 7*y. Let g be k(5). Suppose 4*m - 18 = -2*p, 8*m - g = 2*p + 5*m. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -430216?\nAnswer: -430216.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 45185*t**3 - t**2 + 6*t - 4. Let m = 1 + 23. Let f be (-1)\/(-3) - m\/(-9). Let c be k(f). Round c to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) -2\/23 (c) -8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:59 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6225.091 kilograms in micrograms?\nAnswer: 6225091000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6927*s**3\/5 + 882*s**2.\nAnswer: 3*s**2*(2309*s + 1470)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4)**(-1\/8)\/(o**(-1\/5)\/o*o*o\/(o*o**(5\/2)*o)*o))**(-1\/25) assuming o is positive.\nAnswer: o**(-11\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t\/(t*t*(t*t**14*t)\/t)))*t)\/t*t*(t*t*t\/t**9)\/t*(t**0)**(-4) assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2029.84 to the nearest integer.\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250734666 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - ((-10)\/35 - 1398\/(-189)). Which is the third biggest value? (a) -2 (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 10.1323.\nAnswer: 50.6615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141 in -0.5, -0.1776, -24\/13?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/6 - x**3\/3 + 11*x**2\/6 + 2*x.\nAnswer: -x*(x - 3)*(x + 1)*(x + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 12. Let t(u) = 50*u + h*u**2 - 50*u. Let b(s) = -8*s. Give b(t(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(343) + -1) + sqrt(343) - (sqrt(343) + -2 + sqrt(343) + -5))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 522 = -504 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(182\/7)\/416 - (-2)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 657210 and 37460970?\nAnswer: 37460970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 10 + 23 = 0. What is the least common multiple of c and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -9 - -11 - (-35 + -3 + -12).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -16062.65?\nAnswer: 3212.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010111 (base 3) in base 7?\nAnswer: 13621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -38 - 16. Let a(j) = -j**3 + 4*j**2 + 6*j. Let w(q) = -2*q**3 + 9*q**2 + 13*q. What is v*a(u) - 4*w(u)?\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 2*a - 0*a, 0 = 3*t + 4*a + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t**3 - 2*t**2 - 4*t**3 + 0*t**3 + 16*t**3 as f*t**2 + g*t + o*t**3 + s and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44258.76 decades?\nAnswer: 442587.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 23*l - 5*l - 6*l in the form t*l + s and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 61, 156, 289, 460, 669, 916?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**3*d**3*z - c**3*z + 4*c**3 - 4*c**2*d**3*z - 3*c*d*z - d**3 + 3*d**2*z wrt c.\nAnswer: -60*d**3*z - 6*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 5*k**4\/2 - 27*k - 30. What is the first derivative of b(v) wrt v?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 6330369060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**3\/2 - 2*g**2 - g. List the prime factors of h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464767 times -2?\nAnswer: 929534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/5)\/(-1073 - -1076)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let q(v) = 4*v - 3. Let p(n) = -n**3 - n**2 - 1. Let w be p(-1). Let a(r) = w*q(r) + 2*b(r). Let s be a(4). Let d(i) = i**2 + 5*i - 7. Give d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 55. Let v = 31144\/3 + -10382. Which is the nearest to k? (a) v (b) 1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/4 + o**3\/3 + o**2 + 1. Suppose -10*d + 5*d + 32 = n, -n = -2*d - 46. Suppose 9*q = -12*q + n. Calculate y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43030466 (base 8) to base 10.\nAnswer: 9187638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160552 is divided by 155?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpdgjhh. Give prob of sequence jgd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.5884612 rounded to 1 dp?\nAnswer: 360.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u + 4 = 0, -3*d = -5*u + 7. Sort 50, d, 3 in descending order.\nAnswer: 50, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -23*c + 20*c + 588, 1008 = 5*q - 2*c. 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: What is the next term in 93, 285, 605, 1053, 1629?\nAnswer: 2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5974313991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {t: 3, e: 5, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 120*v + 118. Give h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 289595\/7 - 46\/(-161) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 17*p - 96. Let c be k(-12). Let x(o) = -10*o - 2*o**2 + o**2 - 16 - 4*o. Does 2 divide x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -229*h + 3405. What is v(15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11460 - 26072 = 498*h + 21742 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7631*q + 7648*q = -153 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-272)\/2)\/(64\/160). List the prime factors of w\/(-3) + (-2)\/(-3) - -4.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78425 + 0.035.\nAnswer: -78424.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -212138.133+443\nAnswer: -211695.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 3) to base 7\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.95 less than or equal to -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**4\/12 - z**3\/6 - 19*z**2 + 457*z. Give r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -21. Let h = 888 - 884. Solve t*v = h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 68175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -2\/5, -3045, 0 in descending order.\nAnswer: 0, -0.1, -2\/5, -4, -3045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7\/80, 6\/7, 31?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -40. Solve -9 = 4*m - g, -5*g + 4*g = t*m + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:44 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 9. Suppose -5*w = 4*r - 141, -7 + 3 = 4*r. Suppose -4*v + 5 = w. Calculate k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 4, 8, 12, 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3047559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i + 787 - 864. Find the second derivative of -i*r - 24 + 25 + 2 - 52*r**4 - 27*r**4 wrt r.\nAnswer: -948*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7739 + 23248\/3. Which is the smallest value? (a) m (b) 1\/6 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 8\/765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a7559 + -4?\nAnswer: 22a7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.088 * 1042\nAnswer: 91.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2455*b**2*g*x**2 - b**2*g*x - 3*b**2*x**2 - 17*b*g*x**2 - b*g*x + 6106*g + 8 wrt x.\nAnswer: 4910*b**2*g - 6*b**2 - 34*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993 is divided by 151?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-424935)\/33725 - (((-117)\/(-30) - 3) + 3\/(-6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 4*f - 2. Let u(v) = 2*v**2 - 3*v + 3. Let j = 139 - 141. Let r(p) = j*u(p) - 3*k(p). Let d(w) = 10*w**2 - 11*w. Give 6*d(m) - 11*r(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 - 326317?\nAnswer: -326228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 - w - 8. Determine j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 - i**5 - 3*i**5 - i**3 + 2*i**5 + i**3 + (-2*i**3 + 4 - 4)*(i**2 - 4*i + 4*i) + 2*i**4 + i**5 - 2*i**4)*(6 + 1 + 3).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -98 + 257. Suppose -5*a = -v + 242, 2*a + v + 48 + h = 0. Let o = 118 + a. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 4*m**2 - 14*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6*h**4\/11 + 1062*h**3\/11 + 2688*h**2 - 37080*h\/11 - 184032\/11 = 0.\nAnswer: -142, -36, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 74. Let b be o(0). Suppose 50 = 2*j - b. Let h = j + -32. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {z: 2, s: 17}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1533*y**6 - 26*y**3 + 2*y**2 - 88847 wrt y.\nAnswer: 183960*y**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -955496, -1910993, -2866490?\nAnswer: -3821987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(1100))\/(sqrt(12) + 4*sqrt(108)\/sqrt(9)).\nAnswer: sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Let v be 3*-3*2\/(-9). Suppose -2*k = -4*k + 16. Solve 0 = v*z + 4*r + 8, -m*r = -3*z + 13 + k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = 4*i + 192 - 371 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a factor of 650995028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 130. Suppose 0 = -2*m + 3*u + 126, -2*m + 0*m - 4*u + t = 0. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12411 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -250 (b) -3 (c) -353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhllllh. Give prob of picking 2 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 523 (c) -2\/557\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(324) + (sqrt(324)*-1 - sqrt(324))).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 3:36 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 22. Suppose -5*h = j*g - 193, -3*g + 16 = g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**3 - 15*m**4 + 0*m**2 - 11*m**3 + 4*m**2.\nAnswer: -m**2*(3*m + 2)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 10*b**2 + 2*b - 12. Let w be y(10). Suppose 0 = -u + 2, 4*o + 5*u - 30 = -w. What is the highest common factor of o and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410 = 160*w - 130 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*b**3*l + 63*b**3 - 20*b*l - 11*l + 577 wrt l?\nAnswer: 5*b**3 - 20*b - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 2*d + 11. Let p = 108 - d. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20652205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb6 (base 12) in base 9?\nAnswer: -2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96923 and 588233?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 4*x - 5*p, 4*p - 334 = -0*x - 5*x. Let k be (-8)\/(-3)*63\/6. Calculate the greatest common factor of k and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 130*n - 2. Let t(d) = -4*d + 1. What is -l(q) - 3*t(q)?\nAnswer: -118*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by (3\/(9\/8))\/((-34)\/(-1173)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a\/a**(1\/9))\/((a*a**(-7)\/a)\/((a**(1\/4)\/a)\/a)))\/((a\/((a**(-4\/9)\/a)\/a))\/(a\/(a*a**(-8\/5))))**(1\/87) assuming a is positive.\nAnswer: a**(142783\/15660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -532, 4, 4\/1019.\nAnswer: -532, 4\/1019, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 37*q**2 - 3*q**3 - 10*q**2 - 19*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.39 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*w - 25*w + 72. Let v = 2 - 0. Suppose -v*f - w = -3*f. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10736 by 1.\nAnswer: -10736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**4 + 113*r**3 + 166*r**2 + 48*r = 0.\nAnswer: -1, -2\/5, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:06 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7934, 15759, 23584, 31409, 39234?\n\"Answer: 7825*l + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 - 56*m + 143. Determine g(8).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 444 - 430. Suppose 0 = p*a - 14385 + 3437. What are the prime factors of a?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/195 and 22\/195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*n - 107, -5*n + 74 = 5*i - 51. Let g be (i\/(-3))\/(46\/69)*1. Sort 5, g, -2 in descending order.\nAnswer: 5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25141661 (base 9) in base 3?\nAnswer: -212011101202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*x**3 + 17288*x**2 + 1392519 wrt x.\nAnswer: 33*x**2 + 34576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**3 + 5242*z - 4720 with respect to z.\nAnswer: -6*z**2 + 5242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.209 + -93.209. Let s = i + 54. Let g = s - -39.0108. Round g to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7052903 and 32595849?\nAnswer: 1206046413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10893*p**2*x**3 + 713*p**2*x - 202*p*x**2 - 456*x wrt x?\nAnswer: 65358*p**2*x - 404*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 10*i**2 - 10*i - 5. Let k be h(-9). What is the third derivative of -789*p**4 + 448*p**k + 514*p**4 - 3*p**2 + 7 - 2 wrt p?\nAnswer: 4152*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 0.0186 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8424 - -8425. Which is smaller: -1\/4016 or s?\nAnswer: -1\/4016","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**3 - 56*o**2 - 161*o - 30 = 0?\nAnswer: -6, -5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 94*j**2 - 1478*j - 23083. Determine r(-79).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 22*z**2 + 166*z - 52. Calculate s(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 8:17 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*o - 1158 = 2709 - 1095 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 - 5*r - 5. Let g(a) = 2*a**3 - 7*a**2 + 6*a + 6. Let m be (5 - (-147)\/(-28))\/((-5)\/(-100)*1). Give m*g(c) - 6*w(c).\nAnswer: -4*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(77) - sqrt(77))*-6 - sqrt(77))*4*-4)\/((sqrt(700)*-1 - sqrt(700))*-4*3).\nAnswer: -11*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171952 and 88?\nAnswer: 171952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 5*z - 2*y, -4*z - y - 317530 + 317583 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 165. Let m = v + 128. Let g be 2\/9 - 35\/36. Sort -2\/15, g, m in decreasing order.\nAnswer: m, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85345393 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1304746.\nAnswer: 2\/652373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 - 3*p - 1. Let z be x(-1). What is the tens digit of 0 - (1 + z - (-473)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 131*i - 2765 + 23732 = 89*i for i.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from rjmmrlkt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*b - 235*b + 5*v = 28, -70*b + 82 = 2*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249 - 248.8. Which is the nearest to 2? (a) 2 (b) t (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045 plus 10048989.61?\nAnswer: 10047944.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -4*g - 326, -4*g + c - 136 + 115 - 236 = 84 for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -78. Suppose -4*h + 0*m + 3*m = 78, 5*m - 95 = 5*h. Let l = h + q. Solve a = v - 0*a - 4, l*v - 2*a = 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z - 2*v, -3*v = 4*z - 8*v - 52. Let a(w) = -5*w**2 - 286*w + 531. Let o be a(-59). Sort o, z, 5, -3.\nAnswer: -3, o, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 17*g - 4. Let m be c(1). Suppose m*j - 12*j = 162. Suppose 4*n - 130 - j = 0. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2\/16 + (-46)\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3668 and 86984.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 4*y**2 + 64 - 2*y + 16 + (5*y**2 - y**2 - 3*y**2)*(-4 + 2 + 0).\nAnswer: 2*y**2 - 2*y + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 + 190. Solve -6*r = -2 + a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 3*x**5\/5 - x**4\/24 - 7*x**3\/6 - 3*x**2 + 8. What is the hundreds digit of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118.2 + 133. Let v = d + -2. Let u = 13 - v. Sort -4, 12, u in descending order.\nAnswer: 12, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18614 divided by -82?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*j + 41, s + 17 = 4*j - 40. Suppose 0 = -j*x - x - 75. What is the closest to -2\/7 in -3, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**3 - 620*v + 1200 = 0.\nAnswer: -12, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 549?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + 25*w = -2*w - 741 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941*p**2 + 451*p**2 + 468*p**2.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.64 - 16. Which is the smallest value? (a) -5 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -224199408.\nAnswer: -44839881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*((sqrt(121)\/(1*sqrt(11)*-1) + 1)**2 + ((sqrt(33)\/(sqrt(3)*-1))**2 + sqrt(11) - (-1 + (sqrt(22)\/sqrt(2))**2))*-3).\nAnswer: -57 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -12, 7*u - 2*u - 4*y = 532. Suppose 251 = 3*g + u. Suppose 0 = -2*r - 6*x + 3*x + 27, -5*x = 4*r - g. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/60 - t**4\/12 + t**3\/2 + t**2 - 36. Give d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = z + r, 3*r - 212 = -3*z - 2*r. Suppose 5 = m - z. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2267, 4527, 6755, 8933, 11043, 13067, 14987?\n\"Answer: -3*n**3 + 2*n**2 + 2275*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 13}. Give prob of sequence uuc.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (939 + 1313 - 7214 - 5741)*(-t**2 + t - t) in the form u*t + j*t**2 + g and give j.\nAnswer: 10703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -3*y + d, -2*d = -3*y + 10. Suppose -c + 1 + 2 = y. Factor 2\/9*n**2 - 2\/9*n**c + 0 - 2\/9*n**4 + 2\/9*n.\nAnswer: -2*n*(n - 1)*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - n**2 - 3*n**2)*(204 + 121*n**2 - 204).\nAnswer: 242*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133719 + 292904. Let u = x + -159187.20006. Let g = -2.2 - u. What is g rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-6\/13)*u\/u**(3\/7) assuming u is positive.\nAnswer: u**(185\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f**2 - 1276*f + 28 - 2*f**2 + 1274*f + 20 to the form v*f**2 + w + u*f and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9960 greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 518518356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + o)*(14 + 20 - 17)*(25 + 29*o + 22*o - 25).\nAnswer: 1734*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 4*h**2 - 2*h - 5. Let c be u(-4). Let s = 6 - c. Suppose 0*j - 2*j = 4*f + 428, -s*f - 316 = 4*j. Round f to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2360 is divided by 765.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -9, 18 in increasing order.\nAnswer: -26, -9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 131.5, -3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-175236)\/(0 + -12) + 11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*x - 151. Let w = 313620 - 313599. Sort 4, w, x in decreasing order.\nAnswer: x, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(6048)*-1*5)\/(sqrt(150)*-2 + sqrt(486)*3) + -3)**2.\nAnswer: -360*sqrt(7)\/17 + 27801\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 366 - 366.52. Let p = -0.32 - d. Suppose 6*n = 2*n - 8. Which is the closest to p? (a) 0.1 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/5 - 30*m**3 - 2082*m**2\/5 - 6458*m\/5 - 4524\/5 = 0?\nAnswer: -58, -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 + 2081?\nAnswer: 213a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -141, -322, -563, -858, -1201?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4\/9, 5, 102, 0.038, -4 in decreasing order.\nAnswer: 102, 5, 0.038, -4\/9, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:12 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 552066, -1, 54 in ascending order.\nAnswer: -3, -1, 54, 552066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - q + 9. What is the remainder when p(4) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muxixxiumxux. What is prob of picking 1 u and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxo when four letters picked without replacement from {o: 2, x: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 4. Let p be k\/3 + 190\/6. Suppose -p = -3*x + 5. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*r + 7 + r.\nAnswer: -r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 53, 0, -605 in descending order.\nAnswer: 53, 0, -6, -605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15*(4\/18 - 456\/1080). Sort 0, z, 731 in descending order.\nAnswer: 731, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*o + 152 - 113, 3*y = 2*o + 34. Calculate the least common multiple of y and 111.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110064 = 44*c - 390652. List the prime factors of c.\nAnswer: 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7485 - 7453. What is the remainder when 141 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h\/h**(-1\/2))*h\/(h**(2\/5)\/h*h))**13 assuming h is positive.\nAnswer: h**(-247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507 is divided by 301.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {r: 1, k: 1, f: 2, z: 1, c: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3023 is divided by 402?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 8) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1226292*x - 6321196 wrt x?\nAnswer: 1226292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445979840 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.4723 - -26347.\nAnswer: 26297.5277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848401043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 8*l + 2. Let g be p(-8). Sort g, -4, 0, -5 in decreasing order.\nAnswer: g, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, -64, -247?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -132?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7 + -42568.\nAnswer: -42562.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*c**2 - 469*c**2 - 297*c**2 + 1210*c**2 - 341*c**2.\nAnswer: -368*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11*x**2. Let j(z) = 27*z**2. Let n(h) = -5*j(h) - 12*o(h). Let q(g) = 2 - 2 + g. What is n(q(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 79*l**2 - 13*l + 1001. What is h(-39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, s: 7}. Give prob of sequence ss.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20622?\nAnswer: 2, 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -68152 (base 12) in base 2?\nAnswer: -100001110011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13268802 to four dps.\nAnswer: -0.1327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1334489 - -5?\nAnswer: 1334493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -309*c**2*x - c**2*y + 2*c*x*y**2 + 2*c*y**3 + 4376*c + 11*x*y**3 wrt x.\nAnswer: -309*c**2 + 2*c*y**2 + 11*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*s = 148*s + 4. Suppose 4*y - 288 = 2*y. Let g be (-6)\/27 - 238\/y. Is g at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -499, -740, -979, -1216, -1451?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 387.797 + -388. Let s = w - -0.103. Sort s, 0.5, -5 in increasing order.\nAnswer: -5, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 13 = r, 0 = -5*x - 0*x - 4*r + 31 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 59479 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-3))\/2)\/((-58)\/(-435))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**4\/24 - 2*g**3\/3 - 2*g**2. Let x be 9\/(-6)*(-2)\/(-1). Determine q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n + 23*n = -32*n + 1865 + 495 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*c - 21016, -2*x - 5*c + 3753 - 12147 = 0. Suppose b + b = -24. Is x\/(-6) - 8\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*k + 63 + 30 - 381 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3612 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - g + 11, 13*i - g + 15 = 4*i + 2*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348998 by 433.\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -48. Let s = m + -46. Solve 3*n + 2*n - 25 = 5*o, 5*n + 4*o = -s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -12. Solve 5*g - 25 = 2*x, k*g - 5*g - 25 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + -5 - (-6)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 107*b**2 - 190*b - 924. What are the prime factors of f(-5)?\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 7*g - 6. Let j(t) = -5*t**2 - 9*t - 16. Let y(u) = 2*a(u) - j(u). Give y(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -501640.\nAnswer: 1\/501640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 756 + -751. Is -17\/5 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/(-475)*(-332)\/166*(-1)\/7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -4\/5, 3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {r: 1, z: 1, d: 1, l: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let d be 2 - (6*(-4)\/8 - -3). Let i(y) = y**2 + d - 3 + b*y**2. Determine i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3746*u**3 - 6386*u**2 + 2*u - 26336134.\nAnswer: 11238*u**2 - 12772*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bai when three letters picked without replacement from {a: 3, i: 5, b: 4, o: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 10150624?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from lljllllljlll.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - l = -3, 4*c + 12*l = 17*l - 72 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18977?\nAnswer: 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 5. Let t be w(3). Let s be -9 + t + 12\/2. Suppose -s*u + 24 = c - 7*u, 3*c - 92 = 4*u. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1823*y - 1829*y - 1861*y + 51144 = -26038 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 84. Which is the smallest value? (a) -337 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8167299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/(((b\/b**1)\/b)\/b))\/b)*b*b)**(1\/44)*(b**(-1\/4))**6)\/(b**(1\/2)\/(b**(-2\/5)*b)*b\/(b*b\/(b**(2\/5)*b))*b*b**(-6\/5)) assuming b is positive.\nAnswer: b**(-171\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**2)**(2\/81)\/(o\/((o*o*o*o*o**(-1\/8))\/o)*o*o**(-5\/7)))**2 assuming o is positive.\nAnswer: o**(7321\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*i**6 + 558*i**2 - 595*i**6 - 417*i**2 wrt i.\nAnswer: -83280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-7 - (9 - 19))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.38, 385.72 in ascending order.\nAnswer: -0.1, 0.38, 385.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 41.7. Let h = q + 11.3. Let r = 5 - h. What is the closest to -1\/2 in 4, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {t: 4, r: 1, z: 3, o: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -148 and 2085.\nAnswer: -308580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = g + 3, -3*g = -x - 4. What is the lowest common multiple of x and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 3, i: 2}. Give prob of sequence ip.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g**2 + 5*g + 18. Let x(d) = -7*d**2 + 4*d + 19. Give 4*p(j) - 5*x(j).\nAnswer: 3*j**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 111*p**2 + 258*p + 16. Calculate a(-4).\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1137568 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*p - 20 - 115. Solve p*f - 31 = -2*i - 4, -5*i - 4*f = -25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1324374\/29 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23797 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118677 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-40)\/(-6)*12\/(-8). Let r be (-5110)\/(-1575) + s\/(-10). Suppose -r*q**2 - 22\/9*q**3 - 2\/3*q**4 + 4\/9 - 2\/9*q = 0. Calculate q.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -373091853751 and 0.8?\nAnswer: 373091853751.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-24) + (-266)\/399.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 9209*q**2\/4 - 3346001*q\/4 - 3355209\/4.\nAnswer: (q - 351)*(q + 1)*(q + 9559)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024651207 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41622 or 41626?\nAnswer: 41622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + z - 3*z - 2*z - z + z + (-2 + 2 - 2)*(2*z - 4*z + z) + 3*z - 2*z - 2*z - 3 - z + 3 + 117 - 117 + 13*z as a*z + m and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.7 and -0.2?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39267522*w**2 - 200872*w + 2312\/9.\nAnswer: 2*(13293*w - 34)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 23\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 1:22 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 1*(6*(sqrt(209)*1 - sqrt(209)) - sqrt(209) - sqrt(209))\/(1*-1*sqrt(11))*1))**2.\nAnswer: -108*sqrt(19) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5321 (base 6) to base 4.\nAnswer: 102301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(20*l**5 - 144*l - 116*l - 149*l + 410*l).\nAnswer: 20*l**5 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*x**2 - 1\/8*x - 1\/8*x**3.\nAnswer: -x*(x - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/30 - 2*y**3\/15 + 183*y. Factor j(k).\nAnswer: 2*k*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*r - 4*t, t - 8 = -2*r - t. Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v. Let g(o) = -7*o**3 + 161*o**2 + 9*o - 3. Calculate -g(l) + 6*j(l).\nAnswer: l**3 - 161*l**2 - 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, z: 7}. What is prob of picking 4 z?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3890 - 3898. Let k = 76 + -75.5. Put k, 2, r in increasing order.\nAnswer: r, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 66*f - 140. What is the hundreds digit of t(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 10*t. Let u(o) = -27*o - 6. What is u(a(x))?\nAnswer: 27*x**2 - 270*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*l - 954*l + 60 = -476*l. Let y(q) = -8*q - 13. Give y(l).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -65. Sort b, 2, 0 in decreasing order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-30))\/(7*(-10)\/(-700))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, t: 4, f: 3}. What is prob of picking 2 g?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 - 443 = -8*l. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35902 plus 534296?\nAnswer: 570198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 - 733\/(-7). Suppose -t + 15 = -5*f. Let a(y) = -y**3 - 8*y**2 + 6*y - 5. Calculate the lowest common multiple of f and a(-9).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*b**3 + 15508*b**2 - 4*b + 1691428?\nAnswer: 168*b + 31016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1799 + 0.\nAnswer: 1.1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, 5, -2 in increasing order.\nAnswer: -2, 3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/23 (b) 435\/4 (c) -3 (d) -10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26759, -47308, -67857, -88406, -108955?\nAnswer: -129504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -4. Suppose -v*y - 5 = f, -3*f = -y + 5*y + 15. Let r = y - -3. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 + 2*h**2 - 2. Let f(j) = -10 - 13*j**3 + 5*j**2 + 3 + 2*j**2. Let q = 194280 - 194294. Determine q*v(k) + 4*f(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219.7587 minutes to nanoseconds.\nAnswer: 13185522000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(-3) + 1582\/2?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -18*o + 1. Let p be i(2). Let y = p - -34. What is the units digit of 138*(-1)\/3*y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z - 1. Let f be m(-1). Suppose -p + f = -8. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -66*(22\/(-4))\/(-1). Let d = n - -1083. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 11:50 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + sqrt(5) - sqrt(5)) + (sqrt(105)\/sqrt(3))\/sqrt(7))**2 + (sqrt(60)\/(sqrt(8)\/sqrt(2)))\/(1*sqrt(432)).\nAnswer: 97*sqrt(5)\/12 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -61, -4\/17, 0.229?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {b: 1, m: 1, k: 1, r: 1, g: 2, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121 + -2.3.\nAnswer: 118.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -0.1 in ascending order.\nAnswer: -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 + 1501. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*2*2 + ((-4 + (sqrt(125) - (sqrt(125) - (-2 + sqrt(125)))))**2 - sqrt(125)).\nAnswer: -45*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225129853 or -0.3?\nAnswer: -225129853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43681818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2673574, 2673573, 2673572, 2673571, 2673570?\n\"Answer: -u + 2673575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8519881cm in millimeters?\nAnswer: 8.519881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:22 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*2)\/1 + (50 - 22). Let t(a) = 19*a**2 - 67*a**2 + 23*a**2 + v*a**2. Let n(f) = -38*f**2 - f + f. Calculate t(n(i)).\nAnswer: -1444*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426 divided by -1.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157486924?\nAnswer: 2, 7, 89, 63197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -27. Let z = 20 + d. Let t(a) = -5*a - 1. Give t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 996480456?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 2*u**2 + u + 33. Let i be s(0). Suppose -26*x = -37*x + i. Solve 2*j + j = -h - 3, 3*j + x = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-18)*9\/(-2). Let s be 1\/2*(b - -7). Suppose m = 5*w + 42, 0*w + 114 = s*m - w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -35*r - 49*r - r**2 + 100*r + 10. Let i be l(16). Suppose -i*v + 21*v + 11 = 0. Which is bigger: 10 or v?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n. Let l be m(-2). What is the remainder when -1*(-63)\/(l\/2) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 156 = -4*l - 3*z, -4*z = l - 58. Calculate the highest common divisor of 714 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 211, 409, 685, 1051, 1519, 2101, 2809?\n\"Answer: 2*g**3 + 21*g**2 + 55*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4703074592 - 2?\nAnswer: -1.5296925408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39864 is divided by 676.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**3 - 28*b + 5. Suppose -84*d + 108*d = 120. Let g(i) = -4*i**3 + 14*i - 3. Calculate d*g(l) + 3*w(l).\nAnswer: 4*l**3 - 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4488.536 rounded to the nearest one hundred?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 28. Suppose 3*r - r - 8 = 0. Suppose 0 = 2*v - 36 - r. Calculate the remainder when v is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -436*z - 12 - 6 + 436*z + 2*z**3 to k*z**3 + c*z**2 + r*z + l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 76825 - 76843 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 7 - 4 = 0. Let o = 81.8 + -82. Which is the nearest to o? (a) -3 (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 93959?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.8 in 189, 2\/19, -0.221, -1\/4, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 491 + -788. Let s = g + 267. Is -29 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136602*s**5 + 546412*s**4 + 1502606*s**3 - 9015776*s**2 + 9835608*s - 288 = 0.\nAnswer: -4, 2\/68301, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.024 and -0.1.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 869, 11, 2, 1.\nAnswer: 1, 2, 11, 869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/5 + 124*j**3 + 2502*j**2\/5 + 3136*j\/5 + 1256\/5 = 0?\nAnswer: -2, -1, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -57*m**5\/10 - 415*m**3\/6 - 241*m. What is the second derivative of g(u) wrt u?\nAnswer: -684*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4 + 0)*(2*m - 2*m + m) in the form h + j*m and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114780039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 2*g**2 - 2*g + 3. Let u be n(2). Let k = u + 49. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:23 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -p + 5, -5 + 2 = -3*s. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = -20. Let a(t) = t**2 - 1. What is the least common multiple of a(3) and (-23 - 3)\/(2*j) + -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49566104 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -34, 11 in descending order.\nAnswer: 11, 0.4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46056, 91472, 136888, 182304, 227720, 273136?\nAnswer: 318552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/21 + -110*12672\/(-15120).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -33. Which is the biggest value? (a) -5 (b) 2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -252726393 and 3?\nAnswer: -758179179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28782*w - 28818*w + 115227*w - 28816*w - 28811*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47938 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*v**2 + 64 - 128\/9*v.\nAnswer: -4*(v - 4)*(v + 36)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1588 = x, -4*x = 5*l - 2952 + 956. Suppose 10*v + 96 = l. Is v < 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = w + u, -2*u = 5*w - 5*u - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - -45. List the prime factors of v.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 + 32. Let m = -26 - c. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59, 62, 65, 68, 71?\n\"Answer: 3*j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 115\/23*(-162)\/45\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/6)\/(8\/60))\/(33\/66*-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v + 98 = 52*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-2 + -5)*-5)**2 + 0.\nAnswer: 3000*sqrt(7) + 25825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*u**5 - 2*u**6 - 17 - 21*u**5 + u**2 - 5 + 13*u**5 wrt u.\nAnswer: -240*u**3 + 540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n + 201 = 237*n - 23 - 80 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 202097\/23 or 8787?\nAnswer: 8787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 11. What is the remainder when 9 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/60 - q**4\/4 - q**3\/3 + 5*q. Let m(o) be the second derivative of c(o). What is the units digit of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23171\/19 at least 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32382, 62255, 92128?\nAnswer: 122001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3469300 to the nearest 1000.\nAnswer: 3469000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n + m - 5, 326*n + 15 = 327*n + 3*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(1539) + sqrt(1539)*-2 + sqrt(1539))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a hour in seconds?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, -308\/61, 103?\nAnswer: -308\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 3*a + 14. What is u(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 27 = 3*d. Let q be ((-4)\/3)\/(d - (-430)\/(-105)). Suppose -2*p + 20 = 5*i - 24, -i + q = 3*p. Solve -4 + i = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 1*sqrt(448))**2 + -4 + 1 + -3.\nAnswer: -80*sqrt(7) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -144535.\nAnswer: -144535.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 4. Let d(r) = 29*r + 20. Let h(o) = 26*o + 18. Let a(m) = -9*d(m) + 10*h(m). What is -6*a(i) - w(i)?\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 15558?\nAnswer: 44\/7779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -522 - 0\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(441)\/sqrt(7)*-2 - sqrt(378)\/sqrt(6)*2))**2 + 4.\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.62 + 12.62. What is the nearest to 3 in -0.21, -2, j?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.46 in -4, -3\/7, 468, 0.4, 18?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 18*z - 27. Let k(f) be the second derivative of f**4\/12 + 3*f**3 - 27*f**2\/2 + 2*f. Let b(w) = -3*k(w) + 4*u(w). Factor b(j).\nAnswer: -3*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 3, 0.4, -2\/5, -10\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5 - -5 - -3 - 0) + (-1208 - -1217)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 2, e: 1, s: 1, u: 2, v: 1}. Give prob of sequence sulw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqvvfnqqvxxvjq. Give prob of sequence vjv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 39952.941074?\nAnswer: -39952.441074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 224*m - 17*m**5 - 224*m + (-m**2 - 1 + 1)*(-m**3 + 2*m**3 + 0*m**3).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 - 0.15. Let z = 0.31 + -18.31. Let j = 16 + z. Sort j, 2\/11, k in descending order.\nAnswer: 2\/11, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -2*t**4\/3 + t**2. Let y(n) = -10*n - 12. Let c(l) = -4*l - 5. Let d(b) = -12*c(b) + 5*y(b). Determine u(d(i)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*((z\/(z*z\/(z**2\/z)))\/z*z)\/z*z)**(-49))**30)**(-10) assuming z is positive.\nAnswer: z**14700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 101*s + 31. Let l be z(25). Let q be (-3 - (5 + 22))*l\/24. Let h be ((-2)\/(-45))\/(2\/20). What is the closest to 0 in -3, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 8, 2*q - 4 = -2*s. Solve 5*z = 3*n - 11 - s, 4*n + 5*z = -32 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2063 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/15*(-14)\/924*11*12\/(-15).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*((sqrt(19) + -2)**2 + 2).\nAnswer: -153 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1248227 + 4301727 = 31*m. What is m rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*f + 4*f - 8*f)*(-1 + 0 + 3) - 2*f + 0*f - 2*f as g*f + v and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 3}. What is prob of picking 1 f and 3 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 36. What is the least common multiple of r and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 87*j + 6. Let r(v) = 44*v + 3. Let q(c) = -4*a(c) + 7*r(c). Let d(y) = 40*y - 442. Let k be d(11). What are the prime factors of q(k)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001227472585 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-25 - 72\/(-3)). Which is smaller: o or -113\/117?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 42. List the prime factors of u(0).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-42)\/7)\/3 - -6. Factor -35*s**2 - 45*s**5 - 693*s**3 - 420*s**k - 64*s - 319*s**3 - 188*s**2 - 4*s**5 - 257*s**2.\nAnswer: -s*(s + 4)**2*(7*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:46 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**6\/720 - c**4\/12 + 4*c. Let y(h) be the third derivative of d(h). Let i(k) = -k. What is y(i(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1898 - -1948. What is the remainder when 148 is divided by d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -19*m - 30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**2 + 184*w**3 - 5*w**3 - 1982*w - 19*w**3 + 153*w**3 wrt w.\nAnswer: 1878*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n - 75*n**2 + 113*n**2 + 93*n.\nAnswer: 38*n**2 + 138*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/10*(122 - 2)\/(-2). Calculate the common denominator of -67\/6 and ((-49)\/(-4))\/(i\/24 + 3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 12) in base 5?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*k + 274446 = 303022 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**3 - 71*l**2 + 31*l + 188. Calculate r(-6).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 193*r**5\/15 + 224*r**3\/3 + 371*r**2. Differentiate b(s) with respect to s.\nAnswer: 1544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 0*k**3 - 2*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100416306, -100416319, -100416332, -100416345, -100416358, -100416371?\n\"Answer: -13*z - 100416293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 120 - 99 + 13*u - 1 - 20.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 76. Suppose -2*t + 0*t + v = 0. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 20 - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -194 + 259. Let y = 61 - b. Suppose -f + 0 + 4 = 0. Sort f, 34, y.\nAnswer: y, f, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 39 (b) 4 (c) -1\/2 (d) 0.57 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 8*o + 14. Let n be v(-6). Suppose 8 - 26 = -n*t - 2*f, 13 = t + 3*f. Let h(p) = p**2 + p - 5. What is the remainder when h(5) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 23 + 18*i**2 to k*i + l*i**2 + y and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9) + 68\/102 - ((-1288)\/(-217) + -5)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**3*z*z*z)\/z*z**(-3\/7))**(9\/5) assuming z is positive.\nAnswer: z**(99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 9*s - 4. Let v be f(9). Let o(q) = q**2 - q. Let l(d) = 3*d**2 - 5*d - 2. Let u(c) = v*o(c) + l(c). Let k be 2\/11 + 48\/(-22). What is u(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 8:52 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l - 3*l)*((-3 + 2 + 2)*(-4 + 3 + 3) + 35 - 85 - 125) as g + r*l and give r.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36 (b) -1 (c) 2 (d) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 2) + -33 - (-12 + 8 + -2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, -1 in descending order.\nAnswer: 3, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355807288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/21*((-33)\/(-3) - 8). What is the nearest to r in -0.4, -4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -30514.\nAnswer: 91542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**3 - 19*h**2\/2 - 5*h + 1664. Give m(-8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - 3*w**5 + 4*w**5 + (0*w + 0*w + w**2)*(-10*w**3 - 8*w + 8*w + (0*w**2 - w**2 + 0*w**2)*(-w - 4*w + 4*w) + 2*w**3 + 0*w**3 - w**3).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f + 1. Let g(n) = -4*n**2 + 3*n + 3. Let l(k) = -3*c(k) + g(k). Let b(j) = -66*j**2. Determine b(l(z)).\nAnswer: -66*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6430135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = 9. Let a(u) = -r - u - 4*u + u**3 + 6*u**2 + 0*u. Does 14 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 249*c - 245*c = 0, 21 = 3*s + 4*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {n: 7, c: 3, b: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 12941 = 30*k - 4329. Calculate the least common multiple of 1099 and k.\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1688*n - 1717*n = -7366. Solve -n*k = -248*k + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/7 - 469792*t**3\/7 - 27466933596*t**2\/7 + 2034592938720*t - 2030669023950 = 0. What is t?\nAnswer: -117705, 1, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 249. Suppose -53 = -3*x + v + 30, -136 = -5*x + 4*v. What is the highest common divisor of w and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -11*k + 7*k. Solve 0*l - l + 2 = f, k*f = l + 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -957 - -957. Let h be 1*-2*6\/(-4). Suppose -h*p - 2*p - 4*g = 0, 0 = -3*p + 4*g - 32. Which is the biggest value? (a) q (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5923, 11873, 17821, 23767, 29711?\nAnswer: 35653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.022 (c) -2\/11 (d) -4 (e) -0.2 (f) -225\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -96.49. Round p to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 115 in 2, -19, -4, 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 16 - -91 - 15.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**5 - 1790*h**4 - 3620*h**3 + 7160*h**2 + 14400*h = 0.\nAnswer: -2, 0, 2, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5332679287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 2\/7 (c) -0.5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 418718624 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(4\/5))\/l)**3*l\/(l\/(l\/l**(4\/13)*l))*l*l**(2\/9) assuming l is positive.\nAnswer: l**(2056\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 164? (a) -0.1 (b) 26 (c) 6 (d) -1\/4 (e) -11.7 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 463611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 88 = 3*g. Suppose -15 - g = -3*q - 5*s, 5*q - 3*s = 39. Let c = -12 + q. Sort 5, c, -7 in decreasing order.\nAnswer: 5, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243 + -237. What is the lowest common multiple of 58 and c?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/2)\/((-11)\/253). Let n = -142 - b. What is the highest common factor of n and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.68 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -23*y**6\/24 - y**5\/30 + 14*y**4 - y**3\/3 - 2*y**2 + 6*y. Find the second derivative of b(v) wrt v.\nAnswer: -690*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123728 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438212 times -622?\nAnswer: -894567864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13213696.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*5*-5*(-2 + (sqrt(612) + 1*sqrt(612))**2)*-5.\nAnswer: -1834500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -16802503\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 605987.26 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllmxmxmmmlm. Give prob of picking 3 m.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than 569.7109?\nAnswer: 569.7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1722 - -1763. Calculate the remainder when 6557 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-27) + 2\/(-9). Let a = 433\/170 - 11\/17. What is the common denominator of y\/10*455\/(-2) and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.16 + 6.86. What is the nearest to -1\/14 in p, -1, 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + g)*((-2*g + 2*g + 3*g)*(0 - 2 + 3) - 4*g + 10*g + 3*g - 2*g + 0*g + 0*g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 - 3*p + 22. Let h be s(-7). Let g be (280\/105)\/((-4)\/h). Solve 23 = -g*y + 43 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 49*b - 5. Let y be d(4). Suppose -2*s - f + 108 = s, -2*f = -5*s + y. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-6 - 11 - -10 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2 - 37*p + 4689. Determine n(25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508134 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11010011100000101101101?\nAnswer: -11010011100000101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 64. What is the least common multiple of d and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1372 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228463 is divided by 12692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 8) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 64*m - 39. What are the prime factors of p(7)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -1. Suppose 2*z - 2*y = 10, 0*y + 5 = -5*y. Solve -q = -4*c + 2*v, -4*c + 7 - 3 = -z*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722467 + 722467 - 417*g**3.\nAnswer: -417*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 + s + 23. Suppose 3*v = 12 + 6. Suppose q - v*q = 0. What are the prime factors of a(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54273951 divided by 18091317?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 6*i + 5*i - i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1653 and 5187.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 21 + 121. Let h(n) = -n**2 + 5*n. Let v be h(4). Let i = s - v. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/((-20)\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -4. List the prime factors of f + -2 + 44\/1.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12 = i, 0 = -u + 2*i + 7. Let f be (-28)\/(-21)*(-3)\/1. Let k = 30\/7 + f. Is k < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Suppose 3*g - 9*t - 378 = -10*t, g + 2*t = 131. Let f(n) = 58*n + g*n - 69*n. Determine f(h(x)).\nAnswer: 228*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/240 and 10\/(-65) + (-2642)\/(-780) + -3?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -708*z**3 - 59*z + 59. Let f(n) = 59*n**3 + 5*n - 5. What is -59*f(p) - 5*l(p)?\nAnswer: 59*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/i**(-1\/3))\/(i**(-2\/5)\/i**(9\/8)) assuming i is positive.\nAnswer: i**(283\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 492*c + 30240.\nAnswer: 2*(c - 126)*(c - 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7136*q + 1. Let z(f) = -3*f - 334. What is k(z(a))?\nAnswer: -21408*a - 2383423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2384, 4767, 7150, 9533?\nAnswer: 11916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 221 (b) 70 (c) 394 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1914355.\nAnswer: 1\/1914355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 1}. Give prob of picking 3 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311084 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 w when three letters picked without replacement from ssswywwys.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:57 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*j = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*a + 5, -4*o + 5 = -2*a + 7. Solve -h - 3 = 2*i, -5 = 5*i - a*h - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 - v + 3. Suppose 0 = s - 109 + 106. Give z(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.1. Let b = l - 0. Let i = b + -0.1. Round i to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 18 = 2. Let g(d) = d**2 - 11*d + 14. Let s be g(n). Suppose -136 = -4*v + s*b - 0*b, b + 98 = 3*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*b**4 + 131 - 131)*(150 - 150 - 106*b).\nAnswer: -10706*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48854, -96268, -143676, -191078, -238474, -285864, -333248?\nAnswer: -380626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -54. Let k = 953 - 973. Let t = q + k. Which is the closest to 1? (a) 0.2 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1692849489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 1. Let q be f(7). Which is the biggest value? (a) q (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -2. Suppose -2*s - 2*f = -3*s - 19, -3*s - 4*f - 67 = 0. Is a\/(s\/(-60)) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeaeqcecaocaaocheo. Give prob of picking 1 q and 1 o.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13828647901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 - 8*w - 5. Let b be q(-7). Let l(z) = -3*z + 0*z**b - 1 - 4*z**2 + 3*z**2. Calculate l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 3*i**2 + 1 + 2*i**2. Let y(a) = 5 + 2*a**2 - 2 - 3. Let z(r) = 3*d(r) - 2*y(r). What is the derivative of z(m) wrt m?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34849 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eprewrpb. Give prob of sequence br.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 14*h**2 + 15*h + 11. Determine s(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 159*w - 278. Let m be o(10). Suppose m = -9*x + 17*x. Calculate the lowest common multiple of 2 and x.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10872727153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/6 - 1)*(-20 + (0 - -62)). Calculate the highest common factor of l and 5746.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-15)\/4 + 4). Suppose 6*n - p*f - 9 = n, -4*n = -4*f - 8. What is the third smallest value in -1\/3, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = -2*c. Let g be (-2)\/c*(4 + -13). Let z be -1 + 5 + (-6)\/g. Solve 6*j + 18 = -z*b + 2*j, -5*b + 2*j = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0*o**6 - 22*o**2 + 0*o + 0 + 0*o**3 + 0*o**5 - 2\/105*o**7 - 1\/6*o**4. Find the second derivative of m(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 648*p**3 - 695 + 266*p**3 - 268*p**3 - 2*p wrt p?\nAnswer: 1938*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 2*m**2 - m**2 + 3*m**2 - 5*m**2 - m**2 + (-35 + 28*m + 35)*(2*m + 2*m - 2*m) - 2*m**2 + 0*m**2 + 7*m**2 as f*m**2 + b*m + q and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, 0.1, -5, -10.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426 (base 11) to base 12.\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*o - 4*g + 7, 0 = -3*g + 15. Let v(m) = -22*m + 45*m - 22*m. Let n(t) = 3*t. Calculate o*n(p) - 6*v(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 8*m + 23. Let y be d(10). Suppose -62 = -y*g - 2. Solve 5 = -5*w - g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and 198.721.\nAnswer: 214.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3882851 - 10?\nAnswer: 3882841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7.6*-1243\nAnswer: 9446.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 28*f**2 + 65*f + 20. Let k(b) = 3*b**2 + 10*b + 1. Let d(j) = -3*k(j) + y(j). Factor d(o).\nAnswer: (o + 1)**2*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22849479*j**3*q - 25512*j**2 - j*q wrt j.\nAnswer: 137096874*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + 5 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p - 372 = -2*h, 2 = p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.102669, 6, 0?\nAnswer: -0.102669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 1\/1155*p**7 + 2*p**2 + 1\/660*p**6 + 0*p**4 - 1\/330*p**5 + 0*p + 0 + 0*p**3 - 1\/1848*p**8. Solve z(w) = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1468 + 28 - 5\/((-5)\/12). Calculate the greatest common factor of 676 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, o: 1, a: 6}. What is prob of sequence uuuu?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*a**3*c**3 - 4878*a**3*c + 5*a**3 - 2*a**2*c + a**2 - 5023026*c**4 - 123 wrt c?\nAnswer: -270*a**3*c - 60276312*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 446 + -125762\nAnswer: -125316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:34 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2156*c + 2160*c - 1099 = 0, 0 = -5*y - 3*c + 5529. What is the lowest common multiple of 135 and y?\nAnswer: 5535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 12:48 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7284 - -13884. What is the highest common factor of x and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -26. Suppose 3*i - 31 = -y. Find the second derivative of 0*n**5 - 6*n**3 + 2*n + n**5 + i*n**3 wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 16 = -12*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 23 + 2*c - 3*c.\nAnswer: -c + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - -4. Let f = g + -19. Solve i = 4*h - 11, 5*i - 2*i - 5*h + 12 = f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 10\/(-4))*80\/(-500)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 8899772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158303565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/32*(-25)\/45*-6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**5 - m**2 + m - 1. Let i(x) = 6*x**5 - 7*x**2 + 7*x - 7. Let o(u) = -21*a(u) + 3*i(u). Factor o(y).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*w**2 - 2*w**3 + 701*w**2 + 745*w**2 + 117*w**2.\nAnswer: -2*w**3 + 1911*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 495 by -5.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 631.2 - 631. What is the second smallest value in 5, 0, 12, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340104 + -3?\nAnswer: 340101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m - 2)*(-1 + 0 - 1) + 2*m - 2*m - m + 5*m - 12*m + 5*m + (3*m + 3*m - 4*m)*(-2 + 1 + 3) - 3 + 3 - m - 3*m + m + 0*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-50 + 8)) + -50?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414 - -4341034?\nAnswer: 4342003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-53 + (-2)\/(-2). Let h = -37 - w. Let l(g) = -g**2 + 2*g + 2. Let a be l(2). Solve -a*j + h = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*b + 5835571 - 5835569 + 70*b.\nAnswer: -17*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69822 + 15640053\/224. What is the common denominator of b and -37\/56?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 31 = i - 6*i, -b = 3*i - 27. Suppose w - v - 12 = 3*v, -2*w = -v - 3. Suppose -f = -w - i. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010187699 to 7 dps.\nAnswer: 0.0001019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 10*h**2 + 10*h - 7. Suppose -13*u + 0 = -117. What is c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -66 (b) 0.018 (c) -2\/9 (d) 3 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-6) + (-24)\/(-36). Let c(s) = g + 4 - 7*s - 6. Suppose 3*k + p = 2, 2*k + 2*p = k - 1. What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*o - 2702 - 3977 = -329*o - 1639 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212951991.\nAnswer: 3, 7, 41, 89, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.19 - -0.11. What is the third biggest value in 1, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1454925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 2\/5, -3\/10, 0.28, -2\/15.\nAnswer: -3\/10, -2\/15, 2\/21, 0.28, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*x - 1)*(x**4 - 4*x**4 + 5*x**4 + (x**4 + x**4 - x**4)*(-35 - 44 - 36)).\nAnswer: -791*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33f2 (base 16) in base 5?\nAnswer: -411143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8932*z + 4491*z + 4465*z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7*4\/(-14))\/(-12 + (-1413)\/(-117))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -1.9, -834, -17?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 18 = 3*d, -5*d - 4*s = -0*s - 8. Let n(p) = -350*p + d + 701*p - 350*p. Determine n(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.61 + 24. Let y = k + 3.61. Sort y, 0.1, 4\/3.\nAnswer: 0.1, 4\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u - 8*u + 6*u - 6*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f + 27. Suppose f = -6*i - 69. Which is smaller: i or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.958748 - 0.041234. Let c = 6 + -1. Let w = c + l. What is w rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 20 = 4*h, -4*b = -42*h + 39*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99))\/sqrt(9) + sqrt(132)\/sqrt(192) + 2.\nAnswer: 2 + 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 20 = 2*z + 2*h, -378 = 5*z - 2*h - 342 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 9:52 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(110)\/sqrt(250))*4.\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/259322 and -73\/812.\nAnswer: 15040676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-9))\/8*((-25)\/260)\/5?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(4*3\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -16. Solve -5*b + d = -16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 21.9999652. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 30770*s**2 - 47339645*s.\nAnswer: -5*s*(s + 3077)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1642 or -1639?\nAnswer: -1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 173, 6, -5 in ascending order.\nAnswer: -5, -2, 6, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 77 = -s, -6*g = -2*g - 4*s - 164. Suppose -w - 3*w = -g. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-16) - 8\/((-192)\/111). Suppose 5*h = -4*o + 606, -5*h + f*o + 371 = -2*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 890006*v - 12. Let q be m(2). What is q rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 3*n**2 + 3*n + 3. Let d = -8 + 11. Suppose -5*f = -d*z + 2*z - 40, z - 32 = -3*f. What is the remainder when u(-2) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817 bigger than 4817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001368052 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 18*m**2 + 5*m + 4. Is c(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4504 + 7c86?\nAnswer: c48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f - x - 4, 0 = -f - 5*x - 24. Is (144\/27 - 5)\/(f\/9549) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -17*k**8\/2520 - k**7\/75 + k**6\/30 + 4*k**5\/225 - 2*k**2 + 6*k. What is y in z(y) = 0?\nAnswer: -2, -4\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**4\/6 + 6*l**2. Let i(f) = -2*f. What is v(i(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 647*f**4*w - 535*f**4 - 215312*w with respect to f.\nAnswer: 2588*f**3*w - 2140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4))\/(j\/(j\/j**2)))**14 assuming j is positive.\nAnswer: j**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2. Let i = 12 - 8. Let p(t) = -t**2 + 3. Let o(a) = 2*a**2 - 4. Let g = 20 + -17. Let n(j) = g*o(j) + i*p(j). What is n(k(h))?\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6602 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*i**5\/5 + 154*i**4\/5 - 34*i**3\/5 - 146*i**2\/5 - 64*i\/5 - 8\/5 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**2 + 84915*s + 82754550 = 0?\nAnswer: -15945, -1038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -541232, -541315, -541398, -541481?\n\"Answer: -83*c - 541149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3094.3 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66 - 4*u**4 + 9*u**4 + 79 + 2*u**4 - 3*u**4 + 2*u**4 + (4*u**2 - 3*u**2 + 0*u**2)*(2*u**2 + 4 - 4).\nAnswer: 8*u**4 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2751864 is divided by 1375923?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*12*(-12)\/(-288). Do u and -3239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 12:56 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 4*a - 2791, -v - 2*a = -2767. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11750901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*q - 869 = 0, -4*q - 474 - 1260 = -2*o. List the prime factors of o.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 - 42*p**3 + 228*p**2 + 40*p - 1200 = 0.\nAnswer: -2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13\/3 (b) -66 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 97, 95, 93, 91, 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 101*c**2 + 2 - 107*c**2 + 7 + c**4. Let f(a) = -a**4 + 11*a**2 - 17. Let k(m) = -6*f(m) - 11*u(m). Find the first derivative of k(o) wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25698, 100412, 224934, 399264, 623402?\n\"Answer: 24904*a**2 + 2*a + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/4 + 17901*o**2\/4 + 4476*o - 8951 = 0. What is o?\nAnswer: -2, 1, 17902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3 - 58*r**2 - 988*r - 4056 = 0?\nAnswer: -26, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 g when three letters picked without replacement from {t: 3, g: 12, o: 1}?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45204 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 7*c**4\/12 - 5*c**3\/6 + c. Let o(t) = -7*t + 4*t + 6*t**2 + t**2 - 3*t**2. Calculate 3*m(b) - 5*o(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909491611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*s + 6, 3 - 4 = 4*h + 5*s. What is d in d + h + 0*d**2 - 3*d + d**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2201\/5 - 6637\/15. Is -2 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2209*l = -2215*l + 4432*l + 5*b - 357, 2*b = 4*l + 150 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 20a?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 41*m**3\/3 + m**2\/2 + m - 5. What is the remainder when j(-1) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22254 = -53*w - 24268 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/225*-9*(2 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321 and 43977?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*c + 22*c + 23*c - 63 - 65*c as f*c + d and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1368 and -41\/2577540.\nAnswer: 15465240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 69.83752ug?\nAnswer: 0.00006983752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3047 (base 9) to base 14\nAnswer: b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 2\/3 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.7614215 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9895*p**3 + 17*p - 179?\nAnswer: -59370*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 26*s**2 - s - 1. Let q(f) = -49*f**2 + f + 46. Determine -2*l(n) - q(n).\nAnswer: -3*n**2 + n - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3\/2 (c) -1\/2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) - 99\/2. Let b = 391\/8 + u. Find the common denominator of (-8)\/(-16) + (-14)\/5 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16737000\/(-283500) + 0 + 1\/27\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 2, p: 1, t: 1}. Give prob of sequence vt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 10*f - 226. Let k(b) = 2*b**2 + 14*b - 222. What is -3*j(o) + 2*k(o)?\nAnswer: -2*o**2 - 2*o + 234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 81*o - 9. Let k be a(2). Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205 + 226. Let g(i) = 16*i - 81. What is the hundreds digit of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759658298?\nAnswer: 2, 7, 54261307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 1, r: 1, u: 1}. What is prob of sequence chr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m + 2. Let r(j) = -5*j**2 - 3*j + 47. Determine r(n) - 3*u(n).\nAnswer: -2*n**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 44460*a**2 + 222260*a + 6. Give z(-5).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2558 = -6*d + 22714. What is the common denominator of -13 + 56151\/d + 4\/(-18) and -17\/8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533 (base 7) in base 13?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 18, -6.83, 66?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(272) + 2.\nAnswer: -8*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*p + 14*p + 6448. What is the remainder when p is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5558855, -11117706, -16676557, -22235408, -27794259?\n\"Answer: -5558851*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7766237\/1759266740 + 8\/102641. Find the common denominator of 103\/12 and a.\nAnswer: 51420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 6:54 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2 (b) -270505 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Add together -114.51 and -3003.\nAnswer: -3117.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-20) + 11\/(-45) and ((-4)\/12)\/((-16)\/(-438)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47886 is divided by 4346.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 - 6*t + 12. Suppose 2*r + 336 = -4*r. Let d be (r\/(-4) - 4) + -4. Is j(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*j**2 - 1)*(-2*j**3 - 4 + 4) + 124734*j**2 - 2*j - 146 - 2*j**5 - 124734*j**2.\nAnswer: 2*j**5 - 2*j - 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74, -100, -156, -254, -406, -624?\n\"Answer: -2*t**3 - 3*t**2 - 3*t - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25 + 26 = 3*u, 5*u = 20. Let v = -109 - -72. Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1951.7 - 1946.7. What is the third biggest value in -1, -2, 2008, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41*-38\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by ((-98)\/(4 + -11))\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51442799 divided by 5\nAnswer: 51442799\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 63 - 32 - 9*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*t + 4*o, -2317*t - 6*o - 18*o + 92 = -2315*t + 8*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 6:07 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1. Suppose 0 = -3*b - 2*h - 10, 5 + 5 = -5*h. Let l(s) = 3*s**2 - 8. Let r(d) = b*u(d) - l(d). What is the derivative of r(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(1\/3))\/a*a**(2\/41)*(a\/a**(2\/47)*a*a)\/(a\/(a*a*a**(17\/4))))**(-40) assuming a is positive.\nAnswer: a**(-2217490\/5781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22, 0, 4 in ascending order.\nAnswer: -5, 0, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 54 = -l. Let x = 61 + -48. Calculate the remainder when l is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933662431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w**2 + w + 1. Suppose 0 = -h + 4*s - 18, -5*h + 0*s = s + 48. Let a = -8 - h. Let l(g) = -g**2 - 2*g - 1. Give a*d(u) + 2*l(u).\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + 26. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116.839 + -0.161. Let x = c - -136. Let f = 18.957 - x. Round f to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324.3 - 324. What is the closest to -0.1 in 21, x, 0.8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 14*r - 15. Let f be n(8). Let t = -31 - f. Suppose 34*h - t*h = 796. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8509\/28196 - 6\/7049. Let a = 559\/152 + c. Calculate the common denominator of a and -7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23.8, 0, 2\/11, -11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/21, 0.07, -568, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**2 - 3. Let x(l) be the third derivative of -l**5\/60 + l**2. Calculate y(x(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - 3*q + 6 = 0, 0 = -3*q - 15. Let z be -1*-4*(-2 - -3). Suppose o = -x + z*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(39 - 39 - 7*x) + 2*x + 0*x - 4*x + 3*x + 3 - 3 + (2 - 1 + 0)*(-12*x + 24 - 24) + 0 + x + 0 to t + s*x and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2, 0, -1, -2\/3, 3, -15\/419?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217266228 and 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + (14 - (-8 + 26)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 218110.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -673, -591, -513, -439, -369, -303?\n\"Answer: -2*b**2 + 88*b - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 86003 + -2\nAnswer: 86001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22112222 + 2101210?\nAnswer: 101221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 225580241 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (127 + 64 - 250)*(-2*i**2 - 4*i + 4*i)*(4*i - i + 4*i) in the form l*i + s*i**3 + k + x*i**2 and give s.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 25, -40*l + k = -38*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 954260 = 5497160. Let g = -2055725 + f. What is g rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/((sqrt(24) + sqrt(24)*5 + sqrt(24))\/sqrt(3)))**2 - (sqrt(105)\/(sqrt(3) - sqrt(3)*-1))\/sqrt(5).\nAnswer: -sqrt(7)\/2 + 1\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*2*sqrt(243))**2*-2.\nAnswer: -48600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 v when four letters picked without replacement from {v: 4, a: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -5 - (-2 - -1 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, m: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 + -76?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) - sqrt(76))) + -5 - sqrt(209)\/(sqrt(11)*1)) + -5.\nAnswer: -10 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*(-3)\/(675\/(-105)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1641 + 4?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k - 43*k - 4*f + 76 = 0, f - 274 = -4*k. Calculate the remainder when k is divided by 14 + 0\/1 - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1933 - -9922?\nAnswer: b255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(13)*4 + 5)*-2 - (2 + (sqrt(13) + (2*sqrt(78))\/sqrt(6))*-6))**2.\nAnswer: -400*sqrt(13) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q*((q**(1\/19)\/q*q)\/q*q)\/q*q)\/q*q))\/q**(-1\/6))**9 assuming q is positive.\nAnswer: q**(381\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 686146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87258952 divided by -2.\nAnswer: -43629476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0 - (33 - 34) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.564412 millennia to centuries.\nAnswer: 55.64412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50714 + -13?\nAnswer: 50701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11746 is divided by 344.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -2\/21 (b) 1\/4 (c) 2\/143 (d) -5\/3 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -8 - 3*p**2 + p**2 + 8*p + p**2 - p**2 = 0. Calculate p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (11 - (34 - (-11 - 6))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105519 - -248330. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 17.9. What is the closest to h in -2\/15, 2\/3, -17?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + y + 3*y - 43, -2 = y. Let j = 89 - b. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w + 1. Calculate j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 65. Let q(d) = -12*d + 27. Let n be q(-4). Let o = n - 82. Is 7 a factor of s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3*i)**(-17) assuming i is positive.\nAnswer: i**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 < 2234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317749 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 5*h - 5. Determine f(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15238 and 3428.\nAnswer: 26117932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r - 2*r)*(17 + 3 + r - 2).\nAnswer: -3*r**2 - 54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 11*h + 15. Let w be g(6). Let u be 13 + w - (-13)\/5. Determine o, given that 9*o**2 - 48\/5*o**4 + 24\/5*o - 24\/5*o**3 + u = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73291745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 14 + 1. Suppose 146 + 249 = -o*q. Let n = q - -132. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = 3*x. Suppose 0 = 5*v - 39 - 21. Let g = v + x. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 128*a**2 + 46*a + 3024. Give g(-64).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 221683329 to the power of 1\/3, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*y + 279*y + 233*y = -75702 + 20662 for y.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 5*p. Let t(y) = -y**3 + y. Suppose 3 - 18 = 2*d + 5*a, -3*a = 4*d + 23. Give d*t(s) - h(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 9*w - 17. Let l be k(7). Suppose -57 = -a + l. Suppose -3*t + 5*g + 144 = 0, 3*g - 69 - a = -4*t. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -52. Calculate the remainder when 43 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 2931*u.\nAnswer: 3*u*(u + 977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2. Let n(i) = 43*i. Determine z(n(j)).\nAnswer: 12943*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -20) + 0 + 3 + (1 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y - 765 = -25*y + 37*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336172279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372852.\nAnswer: 2, 3, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001110011111011011 - 100?\nAnswer: 100001110011111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 36*m + 50*m + 49 + 22 - 62*m. Is 3 a factor of z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 + 2*k - 9. Let y be f(6). Suppose -12 = -3*h - y. Suppose -h*z = c + c + 2, 2*z - 12 = 2*c. Solve -z*u = 4, 4*a + u - 6*u = 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -21*w + 19*w. Let h be -13*-1*(w - -1). Suppose c - h = 34. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9311926 is divided by 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/3 + 7066*q\/3 + 12482089\/3 = 0.\nAnswer: -3533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 2. Let h be t(1). Suppose h = -4*w - 14. Let g(s) be the first derivative of s**2\/2 + 9*s + 1. Give g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-23))\/(((-39)\/2)\/(-13))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11004 - 0) + (-2 - (-1 - -4)).\nAnswer: 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -105. Let k(i) = -111*i + 7. Let r(d) = 315*d - 19. Let n(m) = 17*k(m) + 6*r(m). Let t(p) = -2*p - 3. Calculate w*t(z) + 6*n(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 89, -37, -11 in descending order.\nAnswer: 89, 2, -11, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-6) - -10)\/((-5)\/(-1015000)). What is j rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 + 114 + 121 + 21*p**3 - 356.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 4326020*b + 935722452020.\nAnswer: 5*(b + 432602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 30 = -2*c, -1 - 15 = 4*o. Let r be (2 - 23)*2*18\/(-27). Let p(w) = -17 + 4*w - 9 + r - w. Let v(x) = -4*x - 3. Calculate c*v(i) - 7*p(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 294658 > 294656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(3\/8)\/v*v)*v\/(v*v\/v**(2\/7)))\/(v**(-3\/5)\/v*v\/v**(-5\/4)) assuming v is positive.\nAnswer: v**(73\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/16) + (146 - 139).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -257\/5. Let d be ((-6)\/4)\/(12\/(-32)). Suppose n - x + 11 = -d*x, 3*n = 5*x - 5. Sort n, 0.3, a in descending order.\nAnswer: a, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n + 3*u - 591 + 590, -6 = -3*u + 6*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 259610477?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 8. Solve u*d = -f - 4 - 0, -5*f = -5*d - 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfoonnnokoffkn. Give prob of picking 2 f, 1 k, and 1 n.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 24*j**2 - 6*j + 29. Determine d(-12).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/4 (b) 10\/7 (c) -3.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 162\/5 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 7*o**2 - 3*o + 3. Calculate s(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 471140 in 1, 1.18, -0.3?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6)\/4)\/(10\/((-140)\/21))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -12. Suppose 0*i - i + 4*r - s = 0, 3*r + 8 = 5*i. Let q be (96\/40)\/(-3)*15\/(-2). Solve i*w - w + q = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -52.7. Let d = -0.05 + -1.95. Which is the biggest value? (a) y (b) d (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177584249?\nAnswer: 2689, 66041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 19*v\/2 - 208.\nAnswer: (v - 32)*(v + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + 6\/4. What is the remainder when 32 is divided by (2 - (b + -11)) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:16 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911892990?\nAnswer: 2, 5, 7, 27312757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22307357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*-83.76\nAnswer: -335.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -310, -309, -308, -307, -306?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*f**2*g*x + 4*f**2*g - 14*f**2*x - f*g + 6*f + 4*g*x - 2*g + 1 wrt f?\nAnswer: -106*g*x + 8*g - 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/66 and -163\/4667982?\nAnswer: 4667982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*c*p*u**2 - 11*c*p - 9*c*u**2 - 3*c - 24*p - 4*u**2 wrt u?\nAnswer: -100*c*p*u - 18*c*u - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-132)\/(-28) - 8\/(-28). Sort -2, -1, g.\nAnswer: -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5331*a + 25560 = 4971*a for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**3 + 4*h + 1. Let x(d) = 27*d**2. Determine x(a(g)).\nAnswer: 972*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {i: 2, x: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246467588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from {a: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 13*r - 10*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:50 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = s - 5*p + 9*p, 0 = -5*s - 2*p - 2. Let u = 0.04 - -1.96. Let w = 0.27 - 4.27. Sort w, 2\/9, s, u in descending order.\nAnswer: u, 2\/9, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126 and 13?\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014726251 to the nearest integer?\nAnswer: 31855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7954760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*z)*(-2 - 1 + 4) - 2*z - 2*z + 5*z + 314 + 3*z - 302 - 5*z to the form f*z + q and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let b(s) = 462*s + 99. Let y(q) = 23*q + 5. Let v(l) = 5*b(l) - 99*y(l). What is d(v(z))?\nAnswer: -2178*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -1b3459?\nAnswer: 1b3460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2863780.\nAnswer: 2, 5, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 25*p - 30*p = 0, 31*g - 74 = 24*g + 2*p for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + l**2)*(-8*l + 7*l - 5*l) + (3*l - 3*l + l**3)*(1 - 3 + 1)*(-2 + 2 - 3).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31)\/(-20) + 38\/(-760). Which is the nearest to 0.3? (a) 0.4 (b) x (c) 4 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 111.84. Let n = -10.74 + y. What is n rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-8))\/d)\/(d*d*(d\/d**(-12))\/d))\/((d**(1\/29)*d)\/d*d\/(d\/d**(-25))))**(5\/6) assuming d is positive.\nAnswer: d**(215\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 283*0.21\nAnswer: 59.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 24*f**4 - 8*f**3 + 8*f**2 - 8*f + 30. Let a(s) = -8*s**4 + 3*s**3 - 3*s**2 + 3*s - 10. Let p(c) = 8*a(c) + 3*w(c). Differentiate p(z) wrt z.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 66*o**5\/5 + o**3\/3 - 17*o + 1. Find the third derivative of w(y) wrt y.\nAnswer: 1584*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.835885 millimeters in nanometers?\nAnswer: 4835885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 13*m**3 - 27*m**3 + 5*m**3 in the form g*m + w + x*m**2 + o*m**3 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -433*n*p + 337*p - 2 wrt n.\nAnswer: -433*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-10)*d)*d*d)\/d**13)\/(d**13\/d**(-2\/13)) assuming d is positive.\nAnswer: d**(-184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**2 + 11*l + 1. Let v(a) = 3*a**2 - 2*a. Let u(c) = 2*p(c) + 11*v(c). Let k(j) be the first derivative of u(j). Let i(y) = 2*y. Give i(k(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -52?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**2 - 12710*u + 8077205 = 0.\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 37*v**2 + 46*v + 144. Is 56 a factor of p(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 11 + 64 + 105 = 0. Solve -5*h + k = 55*j - 50*j, -2*h = -5*j + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3525, 3547, 10619, 17691, 24763?\n\"Answer: 7072*i - 10597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -551 + 550.7. What is the closest to 0 in 13, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/7)\/(q\/q**(-1\/3)))\/((q\/q**4)\/(q*q**(-1\/4)\/q)))**(-21) assuming q is positive.\nAnswer: q**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -6*(-1*sqrt(187) - sqrt(187)))\/(sqrt(275) + -2*sqrt(275)).\nAnswer: -13*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (247552\/24)\/(-8)*(-15)\/10. Solve 0 = -4*w - x + 1910 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 4*h + 7. Let l be 1 - 1*-3 - -1. Suppose -2*p - 3*a = -l*p, 5*p + 15 = 2*a. Let c(x) = x**2 + 3*x - 5. Let k be c(p). Calculate t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 8*a**2 - a + 10. Let j be x(8). Suppose p = -u + 1, -4*u + 11 - 1 = p. Let g be (0 + -1)*-1 + u. Put j, g, -4 in descending order.\nAnswer: g, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(19) + 4)**2 + 3*(2 + sqrt(19))**2 + -2.\nAnswer: 24*sqrt(19) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 8*f**2 + 5*f - 3. Is x(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -4 - 3 - -3. Let g(d) = -11*d**2 - 14*d - 6. Let u(b) = -9 - 1 + 4*b**2 + 9 + 5*b + 3. Let q = 25 - 42. Determine q*u(w) + t*g(w).\nAnswer: -2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41728190.42789 and -0.1.\nAnswer: 41728190.32789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78304 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -15. Let j be (-9)\/(-12) - 26\/h. Solve 2*o = -f + 13, 0*f + j*f + o = 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -41. Let m(s) be the second derivative of -s**4\/12 - 3*s**3\/2 + 9*s**2\/2 + s. Let g be m(f). Solve -g = 3*h + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 52*p**2 + 81. What is the remainder when 480 is divided by r(26)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 - -143. Suppose -4*w = -4, r + 1452 = 6*r - u*w. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from zsssoosvvovoo?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:15 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 18313.6119 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(30)\/(sqrt(250)*-1).\nAnswer: -sqrt(3)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**2*v**2 + 9*q**2 + 1156*q*v**4 + 57*q*v wrt v.\nAnswer: -8*q**2 + 13872*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -k - 26. Solve 7*z = 2*z - k*x + 20, 5*x = -4*z + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3, -2, -0.04, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10716.3 - -10716. Which is the fourth biggest value? (a) 0.1 (b) -267 (c) k (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 62*f**2 + 7706*f + 99670. Give s(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8384 - -13216. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*1 + 5.\nAnswer: 5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = n + 2*y, -n = 2*n + 5*y - 235. Let a = n + -32. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and -91\/386?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 953851473 to the power of 1\/2, to the nearest integer?\nAnswer: 30884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13638 + -13644. Let l = -16 - -16.7. Let h = -0.3 - l. Sort y, h, 2\/3.\nAnswer: y, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 6*z - 6. Let s be j(4). Find the third derivative of o**s - 3*o + 4*o**3 - 2*o**3 + 3*o wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 + 514458*m**2 + 514449*m - 1028910 = 0. What is m?\nAnswer: -171485, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -9. Which is the third smallest value? (a) 0 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12186 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l**2 + 35*l**3 - 37*l**3 + 11 - 12 as v*l**2 + t*l + g*l**3 + o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**8\/2016 - s**7\/1260 - 19*s**6\/360 - 17*s**5\/180 + 37*s**4\/144 + 35*s**3\/36 + 541*s**2. Find q, given that u(q) = 0.\nAnswer: -5, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*f - 7 + 0)*(23*f - 3*f - f).\nAnswer: 38*f**2 - 57*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1725726, -3451497, -5177346, -6903309, -8629422, -10355721, -12082242, -13809021?\nAnswer: -15536094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, r: 5, v: 5, y: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97818\/5 + -19660. Let g = d + 97. What is the third biggest value in -5, 5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 - -249. Suppose -r = 2*m + 2*m - 20, m = 3*r - 8. Suppose -r*i + l = i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 + 2*g + 280. Calculate n(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 499*-0.02\nAnswer: -9.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/(-440)*-545)\/(70\/8) and -99\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 2568*c - 80624. Calculate s(31).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:58 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 147595544 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, 29, -3, -84 in decreasing order.\nAnswer: 29, 4, -1, -3, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2807*j - 2811*j - 31*n + 104, n - 14 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6762942?\nAnswer: 2, 3, 241, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:10 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2 - r + 1. Let t be g(2). What is the third derivative of t*c**2 + 2*c**3 - c**3 - 4*c**3 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xwwwhhhhowhhhhxhwo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 55 + 8*v)*(-6 + 5 + 8).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23148*b**2 + 2*b + 2*b - 1 + 23608*b**2.\nAnswer: 460*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - z = 9, -4*b + 3*z + 11 = -0*z. Let d(l) = l**2. What is d(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 2}. What is prob of sequence yyyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 8, 15, 14, -1, -36?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 702 and 69?\nAnswer: 16146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1.3 (c) -1 (d) 2\/5 (e) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 + 3*u - 3. Let f(q) = q - 1. Let m(c) = -5*f(c) + h(c). Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9*o = 5*o + 11320, 0 = 3*p + 3*o - 33969. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose -o*k = k. Suppose 0 = -3*u - 12, k*c = 4*c - 2*u - 28. Solve 5*f = 2*m + 2, m + c*f - 16 + 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*x = 124*x - 20, 0 = -a + x + 1188. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:57 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, r: 13}. What is prob of sequence rrvv?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15769042*l - 3*l**2 + 0*l**2 + 15769042*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 + 0.14. Let a = -3 + 1. Sort o, a, 3\/5 in decreasing order.\nAnswer: 3\/5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = -17. Let j(m) = -7*m + 1. Let t(n) = -n. Let x(f) = g*t(f) + j(f). What is the units digit of x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2, -9, -1\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 9. Let p = 0 - b. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -2, 0, 3, -1.\nAnswer: -329, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99366 rounded to 2 dps?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 676 by -26.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366334 is divided by 52323.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -18*y - 445 + 403. Let z = 0 - -2. Suppose 18 = z*p + p + 5*w, p + 5 = 2*w. Which is the closest to p? (a) y (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 45319*q + 1858104. Give z(-41).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-105)*7)\/((105\/(-27))\/5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 346464 + -363111.3. Round r to the nearest 100.\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11780.47 millilitres in litres?\nAnswer: 11.78047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14379047 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -385926716781\/221386 + 1743230. Let q = l + -16714547\/21253056. Calculate the common denominator of 39\/8 and q.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*y**3*z**2 + 6*y**3*z + 55*y**2*z - y*z**2 + 4*z wrt y?\nAnswer: -30*z**2 + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191 - -290. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5\/7 + 64*d**4\/7 - 2*d**3\/7 - 64*d**2\/7 = 0.\nAnswer: -32, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from tfffitteizfe?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -310 - -565. Let k be ((-47)\/(-5) + 1)*30\/(-3). Let g = k + m. List the prime factors of g.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7050.911m to nanometers.\nAnswer: 7050911000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10216 + -13535?\nAnswer: -3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 5. Let j(o) = 18*o. Let l(c) = -16*c. Let d(z) = -5*j(z) - 6*l(z). Calculate i(d(u)).\nAnswer: 36*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211312 is divided by 602.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 + (0 - -1) + 0. Let w be 5\/60*4*0. Suppose 0*g + g - 126 = w. Calculate the greatest common divisor of q and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, y: 2, w: 4}. Give prob of sequence rrw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1692579482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 8:22 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 1694*g\/9 - 16864\/3.\nAnswer: -2*(g - 816)*(g - 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/77 - 378\/22. Suppose 7*j - 4*j - 12 = 0, -5*p + 1 = -j. Let m be (0 - p)\/((-5)\/(-85)). Is m less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-180))\/(((-119)\/50)\/(-7)))\/((-2)\/(-3))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92440 is divided by 23049?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 19. Let h = -17 - o. Suppose h*b = 4*b - 16. What is the remainder when b is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 5. Suppose 12*n = 16*n. Suppose -3*g = -n*g + 18. Give f(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1854017?\nAnswer: 1854017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046802218 a multiple of 2135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 8*v + 102. Solve -3*m - j = -v - 0, -15 = -5*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/12)\/((-5)\/3). Let u = 0.0304 - 6.4504. Let x = u + 0.42. Does r = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (416 - 368) + -8 + 0 + 4 + 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**3\/6 - j**2 - 6. Factor s(k).\nAnswer: k*(k - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -620\/27 at most as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 48*p - 45. Let k(n) = n**2 - 23*n - 1. Let s be k(22). Let h be i(s). Let b(t) = -9*t**2 - 3 + 3 - t. Calculate b(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11539, -10912, -10285, -9658?\n\"Answer: 627*z - 12166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30523\/52 - 587. Let o = x - -10\/13. Calculate the common denominator of 16\/9 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14 + 46*i + 11 - 10*i - 29. Let q be d(2). Suppose -q = -2*j - 0*j - 3*t, 5*t = 5*j - 145. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-50)\/25)\/((-12)\/14). Which is the nearest to 1? (a) n (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5, 5*z + 3*b = -14 + 2. Put z, -1\/20, 3, 0.5 in ascending order.\nAnswer: z, -1\/20, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/9*-1*39. Suppose -5*l - f = -33. Let r = l + 15. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v - 68. Let p be q(14). Let b be ((-3)\/p)\/((-6)\/848). Suppose 6*z - 496 = b. What is the remainder when z is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16038910.\nAnswer: 2, 5, 1603891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 265983530 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/((-15)\/75). What is the third derivative of -156*b**3 + 0*b - 29655*b**u + 0*b + 29500*b**2 wrt b?\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28888 + 3119879\/108. Let a = p + -1\/54. Let i = -13 - -15. Sort i, a, -0.2 in decreasing order.\nAnswer: i, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/72 + (1884\/72 - 8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -9417 (c) -2\/13 (d) 12\/7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v**3 + 2*v**2 + 11*v - 2\/21*v**7 + 0 - 1\/24*v**6 + 25\/336*v**8 + 0*v**5 + 0*v**4. Let f(g) = 0. Calculate g.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131143491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2)*u)\/u)\/u)**(-17\/5) assuming u is positive.\nAnswer: u**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f + f**3 - 3*f - 2*f**3 + f to c + v*f + p*f**3 + k*f**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2632*p - 202*p - 139*p)*(-2*p**3 + 0*p**3 + 0*p**3).\nAnswer: 5946*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3, 6, -1353 in decreasing order.\nAnswer: 6, 5, 3, 2, -1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*g - 5*g. Let v be g\/(-4)*(-10 + 10). Solve v = 4*h - 16, -4 = -2*t - 3*t - h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2283, -2239, -2195?\n\"Answer: 44*v - 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*l - 6223. Let y = l + 49869\/8. Let n = -767 - -12287\/16. Calculate the common denominator of y and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 2*f**2 + 5*f - 2. Let p be l(-5). Suppose -2*n - p = 42. Let m be 260\/n - 4\/18. Let r(t) = -t**2 - 6*t + 6. Calculate r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 0.2 (c) -5\/7 (d) 14 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 11843*k\/3 - 4390.\nAnswer: (k + 1317)*(9*k - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {t: 1, u: 4, i: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14 + 14)\/2 - (-419 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.2, -96, 13 in increasing order.\nAnswer: -96, -2\/7, -0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82819127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Suppose -2*z + y*c = -c - 4, z + 3*c = 17. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0) + 0\/2. Suppose 3*g + 1 = -z. What is the tens digit of g\/2*(-44)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 12*s**2 - 19*s + 4. Let b be q(10). What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + 4 + 3 + sqrt(448)*1 + ((sqrt(448) + 1)*-3 - sqrt(448)) + (2*sqrt(448) + 4 - sqrt(448))))**2.\nAnswer: -4096*sqrt(7) + 29696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284739789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 - 4*v**2 - 4*v + 37. Let r(d) = d**3 + d**2 + d - 1. Let g(b) = a(b) + 4*r(b). Find the first derivative of g(t) wrt t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*2*((-2)\/(-3))\/(48\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {d: 2, e: 4, b: 4, f: 1, c: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) -20 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x. Let k = -16 + 19. Suppose -1 = v, -k*h - v - 2 = -2*v. Calculate q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -104\/6329, 5, 3, -1\/4, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, 1, -1, -24, -3 in increasing order.\nAnswer: -24, -3, -1, 1, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/184*5*((-24)\/32)\/((-65)\/52)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065747121 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**3 - 9*y**2 + 15*y + 17. Let f(t) = 20*t**3 + 26*t**2 - 44*t - 50. Let j(g) = -5*f(g) - 14*p(g). Determine v so that j(v) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3610 + -118?\nAnswer: -3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 5*o**2 + o. Let b(i) = 2*i**3 + 13*i**2 - 3*i - 2. Give 2*b(q) + 6*r(q).\nAnswer: 10*q**3 - 4*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 4. Determine y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10035a2 + -3?\nAnswer: -10035a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2489 + -2483. Calculate the remainder when 35 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1400.4 + 1420.4. Which is the nearest to 2\/3? (a) -2 (b) -3\/8 (c) s (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (55 - (-25 - -115)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.6529391 months?\nAnswer: 0.000137744925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46225096\/3 or 15408366?\nAnswer: 15408366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 6*x - 9. Calculate the least common multiple of 81 and g(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17476\/917 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55389, 110555, 165505, 220239, 274757, 329059, 383145?\nAnswer: 437015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:03 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 1 (b) 3\/7 (c) 1\/7 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*c + 62. Solve 0 = 5*o + 4*h - 16, 0*o + 3*o - h = c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 10) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(15\/(-6))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 4371.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 118 = -8*x - 98*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 13*h**3 - 27 + 39434*h - 39434*h + 16.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 3)*(2 + 2 - 3)*(2*v - 5*v + 0*v + (4 - 2 - 4)*(0*v + 2*v - v)) to the form h + n*v and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let r(k) = 1. Let d(h) = 3*g(h) + 2*r(h). Let n(x) = x + 1. Let a(l) = 2*l**2 + 2*l + 7. Let m(t) = -a(t) + 2*n(t). What is 5*d(i) - m(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:35 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-5) + 5\/(-1). Let t be (7 - 4)\/((-2)\/42). Let b be (f\/12)\/(2\/t). What is the highest common factor of 231 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*((-3 - 2) + -1 + 0). List the prime factors of 0 + (-1107)\/b + (-2)\/4.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*b + 160*b + 27*b**3.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38275140229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 - 4*l - 2. Let j(r) = 964*r + 0 - 1932*r + 961*r - 3 - 7*r**2. Give 5*f(c) - 3*j(c).\nAnswer: c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11010101111011001 (base 2) to base 3\nAnswer: -12120020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/97, 4\/7, 7\/652, 0.2 in descending order.\nAnswer: 4\/7, 0.2, 2\/97, 7\/652, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 378, 1337, 3220, 6339, 11006, 17533, 26232?\n\"Answer: 52*q**3 - 6*q**2 + q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*s = 18, -22*s = -6774*f + 6769*f - 113 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0.14733851181.\nAnswer: 0.14733851181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26413541.999814 - 26413710. Let k = -168 - q. Round k to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5147905 at least as big as -5147907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/60 + 2*h**2 - 208*h. Let b = 17 + -9. Let n(t) = -b + 8 - t. Give r(n(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*c + 68, -5*r + 81 = -0*r + 4*c. Let i = -13 + r. Suppose a + 9 - 13 = i. Solve g = a*g + 5*f - 8, -5*f = g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 + 209 - 46) + -69?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 4*k + 4. Let s be j(0). Find the third derivative of 2*z - 6*z**4 - 8*z**6 - 2*z**2 - 8*z**4 - s*z**4 + 24*z**4 - 4*z**4 wrt z.\nAnswer: -960*z**3 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:57 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2018341 is divided by 782?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -97*i**4 - 3*i**2 - 713*i. Let m(z) = -98*z**4 - 2*z**2 - 714*z. Let j(v) = 3*m(v) - 2*w(v). What is the second derivative of j(l) wrt l?\nAnswer: -1200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*l = l + 155062, -3*i = l - 465250. Suppose w - 15086 + i = -4*c, 2*w + 279997 = -3*c. Round w to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) -0.2 (c) -148\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/12 - t**3\/6 + 5*t**2\/2 + 28*t. Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 0, 9 in decreasing order.\nAnswer: 9, 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2836759*f**3 - 3588844 with respect to f.\nAnswer: -8510277*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let t be x(-3). Suppose -7 - 9 = 2*q. Does q = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1241*c**3 - 2*c**2 - 507 wrt c?\nAnswer: 7446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1466304086 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4234888?\nAnswer: 2, 7, 47, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*r - 135, 0 = -0*r + 2*r + l - 115. Let q be (-1 - -6)*22\/r. Solve 0 = -5*v + 5, -4*v = q*z - 5*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34a (base 16) in base 3?\nAnswer: -1011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*v**2)*(-15 - 9 - 6) + 0*v**2 + v**2 - 3*v**2.\nAnswer: 58*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72379?\nAnswer: 72379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 56 - 14. Suppose z*u - 13*u + 30 = 0. Suppose -r - u = -2*r. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 2*y**2 + 5*y - 12. What are the prime factors of d(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 27*f + 259. Calculate u(12).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -452499 - 4?\nAnswer: -4524a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1. Let s(x) = -73*x**2 + 2*x + 4. Let t(r) = -l(r) - s(r). Let j be t(-1). Suppose 2*f - 18 = j. Calculate the highest common divisor of 30 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 25*i. Let t(h) = 109*h**2 - h. What is s(t(v))?\nAnswer: 2725*v**2 - 25*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 4) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(36))\/(sqrt(7)*-1*-2) + ((sqrt(22) + -1*sqrt(22))*-6)\/((-1*sqrt(88))\/sqrt(8)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 1498?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3853*l**2. Let y(n) = -n**2. Give y(s(t)).\nAnswer: -14845609*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198830 divided by 30?\nAnswer: -39961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -166693, -166528, -166363, -166198, -166033?\n\"Answer: 165*n - 166858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)*q*(q\/q**(1\/4))\/q*(q\/(q\/q**(-1\/2)))\/(q\/(q\/(q\/q**(-5\/2)))))\/(q*q**(-9)*q*q*q\/(q*q**(-2\/15))*q)**38 assuming q is positive.\nAnswer: q**(21817\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 + 7 - 611)*(5 - 5*r - 5)*(-2 + 6 - 2) to q*r + u and give q.\nAnswer: 5670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/(18975\/(-100)))\/((-2)\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/2*100\/(-35). Suppose 0 = 2*z - 5*h - 6, -5*z + 10*z + h = 15. Solve -p + 22 = -5*o, 2*p + 2*o + k = z*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 202000202?\nAnswer: 202000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/(-12) - 1\/3. What is the greatest common divisor of 28 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*1*5 - (sqrt(95) - sqrt(95)*-2)*-6)\/(sqrt(10)\/(-1*sqrt(242))))**2 + -4.\nAnswer: 1216167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, 1\/11, -0.56, -2, 0.26?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 + 7*g**2 - 9. Let p(h) = -14*h**3 - 32*h**2 + h + 37. Let q(t) = -9*o(t) - 2*p(t). Calculate q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, l: 5}. What is prob of picking 3 s?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2048 - -0.3.\nAnswer: 2048.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 0*y + 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867 = -3*h - i + 7351, -3*h + i + 8222 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/6 + 7*q**3\/6 - q**2\/3 - 2*q + 4\/3 = 0. Calculate q.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -0.1, -2\/5, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2343? (a) 0 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/12 - l**3\/2 + 3*l**2\/2 + 39*l. Give y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 47?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 59. Suppose 3*a = -7 - f. Is (-441)\/a*(-24)\/(-14) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20196)\/(-46563)*-2*2\/6. What is the fifth biggest value in p, -4, -1, -2\/7, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b4 + -75a?\nAnswer: -1b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h**2 - 1. Suppose -26 = -32*i + 166. Let m(z) = -14*z**2 - 1. What is i*x(y) - 7*m(y)?\nAnswer: 14*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123811, -6, 0 in ascending order.\nAnswer: -123811, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 873 - 16*g - 873. Let j(u) be the third derivative of u**5\/60 - u**2. Give t(j(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*i - 425*i - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.723 + 5.7. Let m = 0.025 - -0.098. Let j = z + m. Which is the closest to 1? (a) j (b) 3\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7476443, -14952884, -22429327, -29905772, -37382219, -44858668?\n\"Answer: -u**2 - 7476438*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 24. Suppose o*l + 1 = 7. Is 61*(l - 0) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 17. Let u be 72\/16*8\/2 + -3. Let p be m(u). Find the second derivative of 5*i**2 + p*i + 5*i + 13*i**2 + 2*i wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a**2 - 404*a + 385. Give d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*n**2*w**2 + 4*n**2*w - 14846*n**2 - 2*w**2 wrt w?\nAnswer: -182*n**2*w + 4*n**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/9)*w\/w**1)\/(w**(1\/3)*w*(((w\/(w*(w**(2\/7)*w)\/w*w))\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(214\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is afa - 16d?\nAnswer: 98d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 335179 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - 45 - (3 + -2 + 1 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 12*b = -2*b - 152 + 712 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*a = 197*a + 10. Solve g - a*h + 4 = -4*h, -5*h - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (3 - -51))\/(4\/4). Suppose -i = 4*u - 60. Suppose -27 = -u*o + 9. What is the greatest common factor of o and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**3\/3 + 6*b**2 + 3*b + 1. Let h be p(10). Solve 5*k - 2 = h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4238096 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**4 - 3*i**3 - 22*i**2 - 20. Let q(o) = -o**4 - 2*o**3 - 23*o**2 - 18. Let f(g) = 2*k(g) - 3*q(g). What is the first derivative of f(d) wrt d?\nAnswer: 4*d**3 + 50*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 + 924245*n**4 + 3697030*n**3 + 5545570*n**2 + 3697055*n + 924265 = 0. Calculate n.\nAnswer: -1, 184853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 18 + 6 = -4*w, -2 = -4*x + 2*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*p = 3*i - 33, 3*p - 69 = -4*i. What is the remainder when 44 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1650139 - -2954734. Suppose 2*t = -t - 3*f + d, 0 = -5*t + 5*f + 2174275. Let k = -195860 + t. What is k rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 2, o: 2, f: 4}. Give prob of sequence fqo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 381 - 161*h - 381 + 3*h - h - 4*h + (-5*h + 2*h + 2*h)*(2 + 0 + 0).\nAnswer: -165*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 91110*w + 10. Let q be 5 + -6 - (-12 + 2). Let g be p(q). What is g rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3350, 6715, 10082, 13451, 16822?\nAnswer: 20195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/17 and -1\/12416 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -12937\nAnswer: -12937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 126\/(-1953) - 366\/93. What is the nearest to -2\/5 in -2, 2, q, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274 + -230. Calculate the least common multiple of 44 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/((-93)\/372)*(-565)\/(-20)*2\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, -0.04, -5, -0.2, 3\/131?\nAnswer: 3\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1177 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31118, 62354, 93654, 125018, 156446, 187938, 219494?\nAnswer: 251114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -111001101101100?\nAnswer: 111001101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 18*t + 34. Let p be 1\/2 - (-310)\/20. Let s be z(p). Solve -s*k = -1 - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 - 7 - -4 - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.99999965 + -56. What is x rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3162 < -5390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 16.866. Let v = 0.584 + x. Round v to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410850065?\nAnswer: 5, 233, 352661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k + 12*k + 4*k - 6 as g + z*k and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 44948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41839 (base 13) in base 12?\nAnswer: -58241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 = -13*z - 37*z - 76*z - 3967 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b + 12. Suppose 0 = 2*r + b*q - 50, -3*r - q = -5*q - 45. Solve -5*t - u = -r, 4*t + 2 - 16 = -2*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**7\/2520 - q**6\/360 - q**5\/120 + q**4\/24 + 4*q**2. Let f(d) be the second derivative of u(d). Factor f(n).\nAnswer: -(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3111115um?\nAnswer: 0.0000000003111115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 3*c - 4*c)*(-c + 2 - 2) + 10*c**2 - 22*c**2 - 5 + 9*c**2 as v*c**2 + t + i*c and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1813 + -1811. Let f(n) = -n**3 - 4*n**2 - n - 4. Let c be f(-4). Solve c*g + 2 = -a*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-158)\/(-6) + 3)*(374\/340)\/(176\/80)?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*w - 7, 3*a - w = 1 - 4. Put 0.7, -0.3, a in decreasing order.\nAnswer: 0.7, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-64)\/(-220))*4\/5. Let u = 0 - -2. Suppose 2*y = m - u. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -2\/3, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4555 and -227?\nAnswer: -1033985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = 0. Suppose -m = -3*x + 343, f = -x + 2*m + m + 109. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12*6\/21)\/((886\/(-7))\/2) and -61\/10?\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 6*o**7\/7 + o**6 + 7*o**3\/3 - 5*o - 108. Find the third derivative of l(m) wrt m.\nAnswer: 720*m**3 + 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5*d**2\/2 - 8*d - 1416. Let u(q) = q. Calculate 4*u(j) - z(j).\nAnswer: -j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x + 1 - 9 - 10*x. Let l be g(6). Suppose -4*a + 5*u - 13 + 225 = 0, l*a = -4*u + 212. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + 168*x + 1904. Determine b(66).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -28*t + 39. Let f(l) = -14*l + 18. Let y(v) = -13*f(v) + 6*p(v). Let r(d) = 20*d. What is y(r(s))?\nAnswer: 280*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*i - n + 19, -4*i - n = -17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.56379182 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -107752*h. Let v(k) = -209*k**2. What is c(v(q))?\nAnswer: 22520168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 755536 - 71776854\/95. Let d = -7\/19 + p. Calculate the common denominator of 0 - -2 - (-4)\/(-16) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 28*w - 30*w + 24, 3*v = -4*w + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(41*p**2 - 7*p**2 + p + 2*p**2).\nAnswer: 36*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387*z**2 + 80*z - 2?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and 951.\nAnswer: 142.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1402661 + 1203?\nAnswer: 1404164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 11 - 27)*(-4 + 4 + 2*n) + 10*n + 9 + 8*n - 17*n in the form y + k*n and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -57 (b) -14 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/42*((-1204)\/(-84) - 36\/3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 130*o + 43. Let l be r(-43). Suppose -3*f - 2*f = -5*d - 25, -d - 2*f = -1. What is the nearest to -2\/9 in 3, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58884827 to three dps.\nAnswer: 0.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) + 1 + (sqrt(891) + 2 + sqrt(891))*5 + sqrt(891))**2.\nAnswer: 2574*sqrt(11) + 150700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -x. Let m be 4\/x + (-5520016)\/24. What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 1677*n**2 + 181365*n - 865275 = 0. What is n?\nAnswer: 5, 139, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 13*p = -61*p - 16*p. Which is greater: p or 4\/355?\nAnswer: 4\/355","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10515665 divided by 1?\nAnswer: -10515665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1232 - 1228. Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/60 + c**4\/12 + c**3\/6 - 4*c**2. Let i be q(-2). Let l(g) = -g**2 - 7*g + 6. What is the units digit of l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 7*h**2 - 40*h + 100\/3.\nAnswer: -(h - 10)**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/36*2)\/(4\/(-16)). What is the smallest value in -1, 1\/15, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 92\/138*((-41)\/(-2) - 1). Solve 0 = -4*g - 9 + l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 23*t**2 - 47*t - 264. Give x(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11717521 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x + 4294802 - 4294802.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**7\/105 - 5*j**5\/12 + 43*j**3\/2 + 24*j**2. Differentiate s(p) with respect to p.\nAnswer: -8*p**3 - 50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 - 6*l**2)*(1 - 1 - 3)*(3 - 1 - 4).\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -4 (c) 6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 143038 * 4\nAnswer: 572152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 2*g - 11*r - 18, 0 = -4*r - 12. Let v(j) = 4*j - 3. What is the units digit of v(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 151*p**2 - 1619*p - 1446. Let t be o(-161). Let n be 0\/(4\/1 + -3). Let i = -3 - -5. Sort -1, i, n, t in ascending order.\nAnswer: -1, n, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.3, 1.7, 5, 0.81 in descending order.\nAnswer: 8, 5, 1.7, 0.81, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/60 + 3*s**4\/8 - s**3 - 117*s**2. What is w(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -1\/60*o**5 - 1\/3*o**3 - 3\/4*o**4 + 19*o**2 + 0 + 0*o. What is the tens digit of j(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 10*y + 3. Suppose -2*c + d - 20 = 0, -2*d + 0 - 59 = 5*c. Let h be v(c). Let k = h + -10. Solve -12 = k*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:32 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4529, 0, -1, -23, 5 in increasing order.\nAnswer: -23, -3, -1, 0, 5, 4529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 - 219. Let g(q) be the third derivative of 0*q**z + 0 - 6*q**2 + 0*q + 1\/24*q**4. Let a(j) = -3*j**2. Determine g(a(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1880 - 1207. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2*(-20)\/80)\/((-23)\/598).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*r. Solve 2 - z**4 + 12*z - 4 - 2 + 6*z**3 - 13*z**r = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209740 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6606 and -81\/1468.\nAnswer: 13212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7584.31nm to micrometers.\nAnswer: 7.58431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(3*u**2 - 6 + 6).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g - 3*h, 0 = 4*g - 3*h - 0 - 5. Suppose -2*z = -2*d - 26, 0 = 3*z - z + 5*d + 9. Suppose -z = -7*q + 5*q. Solve -q = -2*t + g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 3*j - 2*j)*(-1 + 0 + 3)*(2*j**2 + 2*j**2 - 2*j**2)*((-4 + 2 + 4)*(-3 + 0 + 4) + 18 + 9 - 30) to x*j**3 + l*j**2 + n*j + r and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9996 = -8827*p + 8833*p. Is p a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35314*t = -34636*t + 22374 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1984, 2337, 3292, 5149, 8208?\n\"Answer: 50*y**3 + y**2 + 1933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2 + 3 + 3 - 4 + (-1 + 2 + 0)*(0 + 1 - 3) - 4 + 1 + 1)*(-1776*b**4 - 7*b**5 - 2196*b**4 + 2587*b**4).\nAnswer: 28*b**5 + 5540*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29773810 divided by 2977381?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579, 576, 573?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.43 + 6.57. Let b = -2.026 + 1.826. What is the second biggest value in x, -1\/4, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35890 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 470*y - 95*y - 271*y + 425*y - 3*y + 5*y - y + y - 2*y + 0*y + (-1 + 0 + 2)*(2*y + 3*y - 3*y).\nAnswer: 531*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.11 - 63.5.\nAnswer: -70.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 202501 (base 7) to base 16\nAnswer: 86f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o**5\/5 + 13836*o**4\/5 + 555376*o**3\/5 + 722096*o**2\/5 + 238656*o\/5 = 0. What is o?\nAnswer: -339, -44, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.1\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let p(k) = k**2 - k + 1. Determine 3*p(t) + 6*s(t).\nAnswer: 3*t**2 + 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 2, k: 1, b: 2, s: 4}. Give prob of picking 1 s, 1 b, and 2 v.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*w - 45*w - 42*w + 19*w in the form d*w + z and give d.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 695913905 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 3*r**6\/5 - 15*r**2\/2 - 12*r + 18. Let t(f) be the first derivative of n(f). What is the derivative of t(i) wrt i?\nAnswer: 72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 56. Let g be h(59). Which is the third biggest value? (a) -2 (b) -43 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + m**3 - 2*m**3 + 550*m + 0*m**3.\nAnswer: 2*m**3 + 550*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17733)\/(-514)*3\/((-9)\/(-2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 579 + -405. Let a = p + -175.29. What is a rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.44 + -0.04. Let x = k - 0.1. Let b = -0.4 + x. What is the closest to 1 in b, 3\/7, 0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -29. Suppose 67 = -n*d - 68. Let l = 46 - d. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-10*o**2 + 8*o**2 + 22*o - 4*o) + (-3 + 3 - 2)*(-64*o + 64*o + 85*o**2).\nAnswer: -166*o**2 - 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 208624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1, -2432, 2, 0, 15 in descending order.\nAnswer: 15, 2, 1, 0, -1, -3, -2432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-12)\/96*-40). Let s(p) = 10*p + 43. Determine s(n).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40445011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7. Let a = 3 - t. What is the third smallest value in a, -0.1, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)\/(b\/(b**(2\/7)\/b))*(b**(-3)\/b)\/(b*b**4*b)*(b**(-3\/4)\/((b*b**3)\/b))**42 assuming b is positive.\nAnswer: b**(-2383\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. What is the tens digit of (6\/(-2))\/(y\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let z(n) be the second derivative of 0*n**2 + n + 0*n**3 - 2\/3*n**4 + 0. Determine h(z(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttttttttttttk. Give prob of sequence kt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:08 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, 204, 1303, 3434, 6939?\nAnswer: 12160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16702*a**2*d*k - 86*a**2*d + a*d - a*k - 17*a + 44*d*k - d + k wrt a.\nAnswer: -33404*d*k - 172*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 38. Does 4 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 253 + -4?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 30647268?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 4 + (-59 - (-57 + 31))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*6\/36*6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 2*f + 70. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82567813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 2, x: 3, o: 3, k: 3, p: 1}. Give prob of picking 3 z and 1 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-272)\/(-18) + 15\/(-135) - 11. Solve -18*o - 42 = -s*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 7.29.\nAnswer: 21.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.04, 316, 5 in ascending order.\nAnswer: -3, -0.04, 5, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/22*12\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p + 34*p - 131*p + 23*p + 39*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*-5 + -2. Suppose -6 = -5*h - 2*a, -2*h + 2 = -y*a - 8. Suppose -h = -w - 0. What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.0851 + -0.0851. Suppose 2*w - 288 - 152 = 0. Let o = w - 1982\/9. What is the closest to 1 in 2\/7, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyk when three letters picked without replacement from {k: 3, y: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*4\/24)\/(-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 272705800 divided by -56228?\nAnswer: -4850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -770. Suppose -6*u + 3*b = -u - r, -b + 66 = 2*u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + 22\/3. Let r(w) = 2*w**2 - 14*w - 8. Suppose -4*o + 119 = 5*j - 55, 3*o + 126 = 3*j. What is the remainder when j is divided by r(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 13*f**2 + f - 13. Let u be q(13). Let j = -4 + 2. Let s = 4 + j. Solve u*g = g + s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -0.99, -10, 0.09788, 3?\nAnswer: 0.09788","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10*2\/(-8)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 10*v + 11. What is g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 35*l**3\/3 - 3*l**2\/2 + 5*l + 10. Is r(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 + 34258226*a**3\/9 + 21733816984880*a**2 + 372281115724390897024*a\/9 + 372280920120072291328\/9.\nAnswer: 2*(a + 1)*(a + 5709704)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 519014, 5, 4 in decreasing order.\nAnswer: 519014, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h**(-23)*(h*h*h**(2\/11))\/(h*h*h**(-2\/51)*h) assuming h is positive.\nAnswer: h**(-11657\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 638 + -635. Suppose -q - 4*j = -h*j - 576, 1748 = 3*q - j. What is the greatest common factor of q and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 6*o + 4. Let t be u(-6). Suppose -d = d - t. Put -4, 3, -5, d in ascending order.\nAnswer: -5, -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) -3 (b) -58 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, x: 1, d: 2, v: 1, k: 2}. What is prob of sequence vxjk?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 142. Suppose t + 132 = v - 3*z, z = -2*v + 350. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -402 - 237. Let n = 39 + q. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/12*(2 + -2). Let q be 2 + (4\/12*o)\/(-2). Suppose -2*p + q*r = 4, 4*p = -p - 3*r + 30. Solve -p*s + 3 = 4*k, 0 = -0*k + 4*k + s + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. Let o be (-32)\/(-36)*(-2)\/8. What is the second smallest value in m, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -93\/44 (b) -0.8 (c) -5.4 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -646 + 21fb9?\nAnswer: 21973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - (153\/(-34))\/1. Solve -w + 4 = -z*a, 20 = w + 4*w + 5*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1338573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 504802888 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 - 3946*i**2\/3 - 1316*i = 0. Calculate i.\nAnswer: -1, 0, 1974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 748260 = -5*z - 58258, 5*h = -2*z + 275990. Round z to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8746 + -8746. Let u(f) be the third derivative of h*f**4 + 17*f**2 - 2\/15*f**6 + 0 + 0*f + 0*f**5 + 2*f**3. What is the first derivative of u(t) wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*a**2 - 645\/2*a - 83205\/4 = 0. What is a?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 125490997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 2*z**2)*(-3370*z + 18 + 3372*z + 2) - 4*z**3 + 2*z**3 + 3*z**3.\nAnswer: 5*z**3 + 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 66*x + 119. Give i(66).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -x - 4*r - 1, 5*x = -3*r - 7. Sort x, -2, 0.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -182 and 416 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2061 and 43\/32553.\nAnswer: 7454637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22023063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -146, -319, -492?\n\"Answer: -173*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 79.0599 times -8\nAnswer: -632.4792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 + 3*g**3*w - 42*g**3 - 31*g**2*w - g*w - w wrt g.\nAnswer: 240*g**3 + 18*w - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -5, -4 in ascending order.\nAnswer: -5, -4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**2 - 12*x + 3. Let f be y(-8). Factor 1\/2 - p + 0*p**2 + p**3 - 1\/2*p**f.\nAnswer: -(p - 1)**3*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*h - 1501 = 769*h + 3747 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14841 is divided by 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41355 - 20275. What is the remainder when f is divided by 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j - 12*j**3 - 83*j**3 + 2*j**4 - j**4 + 8*j**3 in the form a*j + o + n*j**3 + v*j**2 + w*j**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)**7*n\/(n*(n**0*n)\/n*n*n)*n\/((n*n**(2\/15))\/n))\/((n\/n**(-5))**(-10))**(-2\/101) assuming n is positive.\nAnswer: n**(-24727\/1515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208881167 to the power of 1\/2, to the nearest integer?\nAnswer: 64876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -41.4.\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222884156 by 1.\nAnswer: -222884156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 27 = 3*z, 0 = -1265*o + 1262*o + 2*z - 37 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*r + 3)*(-5 + 3 - 3) + (2*r + 0*r - 3*r)*(34 + 48 + 129) as a + w*r and give w.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (5 - 3 - -1). Suppose -934 = -5*u - 2*i, r*u - 8*u + 5*i = -734. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 4 + 17 - 20. Calculate y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f + 11. Let y(w) = -w - 2. Let l(m) = 33*y(m) + 6*z(m). Let t(s) be the second derivative of -s**4\/12 - 14*s. What is l(t(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 17500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/77*(-33)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -14. Let h be 4\/(-6) - 49\/(-69). Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5465.78 * 21\nAnswer: -114781.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -45497 to the nearest one hundred.\nAnswer: -45500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 3. Let b = 154 - 131. Calculate the remainder when b is divided by h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w + 14*w - 15*w)*(-w**3 - w + w)*(2 + w - 2).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/(2\/6). Let v(u) = 2*u**2 - 3*u**2 - 62 - 2*u + u + 60. Give v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113, 182, 287, 422, 581?\n\"Answer: -u**3 + 24*u**2 + 4*u + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a decade in months?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s - 9. Let u(g) = 89*g - 43. Let h(p) = -u(p) + 6*x(p). Let i(r) be the second derivative of -4*r**3\/3 - 2*r**2 - r. Give -3*h(w) + 8*i(w).\nAnswer: 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2310 + 2312. What is the third smallest value in 627, v, 0.4?\nAnswer: 627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 43, 155, 395, 811, 1451, 2363, 3595?\n\"Answer: 8*r**3 - 8*r**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98226, 196451, 294676, 392901?\nAnswer: 491126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -8*u + 3*u. Let x = -40 - u. Suppose -f + x*g + 1 = -0, -4*g = -f - 3. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23434060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000104807 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -17 + -2 + -7 - -13 - -55?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4779 = 27*x - 57402. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 5113 - 5185. Solve -3*u - z - 7 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = 5*b + 19, 0 = -3*k - 4*b - 13. What is the tens digit of k\/(-1) + (150 - (2 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 4 (c) -0.06072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -144? (a) -5 (b) 2\/25 (c) 2\/5 (d) 226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35994 is divided by 902.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -42?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let h(n) = 5*n + 511 - 513 - 23*n. What is h(b(j))?\nAnswer: -18*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3393*f**3*z**4 - 21856*f**3*z**3 + 19814*f**3*z**2 - 17*f**3 + 18*f**2*z**2 wrt z?\nAnswer: 81432*f**3*z - 131136*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11363320 - 15942737303\/1403. Let r = v + -10\/61. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(9\/(-2))*-5*7\/1190\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 232 - 840. Which is greater: -77 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12913.\nAnswer: 37, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*w - 45, 3*p = 5*w - 2*w + 33. Let b = -62 - -84. What is the lowest common multiple of b and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*g - 149. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 40806.\nAnswer: 13\/40806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -7*f**3\/3 + f**2 + 6*f - 19. Let p(j) = -15*j**2 + 5*j + 13. What is 6*p(s) - 13*q(s)?\nAnswer: s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4404.4 + -4404. What is the third biggest value in -1\/5, 3, q, -2, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 102 + -106 + 81?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 77*n + 17. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*j - 1595 = -1641, 2*d + 2*j - 58 = 0 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w - 2*w + (1 + 2*w - 1)*(-3 + 2 - 1) - w + 2*w - 3*w - 6*w + 4*w - 9*w + 2*w - 4*w - 10*w + (0 + 3 - 5)*(2*w - 3*w - w).\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2936 + -3?\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5\/7 + 1382*p**4\/7 + 16362*p**3\/7 + 44818*p**2\/7 + 2620*p\/7 - 9312 = 0.\nAnswer: -679, -8, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b036 (base 16) in base 14?\nAnswer: -10b714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1105258, -1105256, -1105254, -1105252, -1105250?\nAnswer: -1105248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24301.\nAnswer: 19, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1730868 and 1416?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/3029 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -754*c + 18402 + 2939 - 983 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:12 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93.9 + -94. Let g = d + 0.04. What is the nearest to 0 in g, -5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, m: 3}. What is prob of sequence mzmz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in 4\/5, -4\/3, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 326664?\nAnswer: 326664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w = -4*a + 61*w + 68, -88 = -5*a - 4*w. Calculate the greatest common divisor of 9 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4271.611 millilitres?\nAnswer: 4.271611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 - 2*y**3 + (2*y**2 - 1 + 1)*(-54*y - 53*y + 27*y) + 5*y - y**3 - 5*y.\nAnswer: -163*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71.88 - 74. Let z = v - -0.12. Let w(s) = s + 15. Let k be w(-12). What is the nearest to k in -5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(10\/(-1))*12\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9648 is divided by 186.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -4)\/(7\/1). Suppose 0*x = 4*b - 2*x + 18, -3*x = -9. Is b greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 51. Let c = 84 + d. Let o(l) = -l**3 - 108*l**2 + 1178*l + 28. What is the remainder when c is divided by o(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1947916 and 683?\nAnswer: 1947916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o. Let r(i) = 5*i - 4. Let k(c) = -c + 1. Let s(x) = 4*k(x) + r(x). What is s(t(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129731305 to the power of 1\/2, to the nearest integer?\nAnswer: 11390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 200*m + 184. Is b(54) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 less than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1707, -3662, -5613, -7560, -9503, -11442, -13377?\n\"Answer: 2*j**2 - 1961*j + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9*l**18\/l)\/((l\/l**(-2\/33))\/l*l*l**(2\/15)) assuming l is positive.\nAnswer: l**(4093\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -179377?\nAnswer: -7\/179377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, l: 1, j: 5, b: 5}. What is prob of picking 1 l and 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b + 180 = 41*b. Let u = 47 + b. Is (6 + -1)\/(2*u\/28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694 - 185 - 325 - 185 + 18*v**3.\nAnswer: 18*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Suppose -n*j - 50 = -10. Let g = -9 - j. Solve -2*b = -g + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2 + -1)\/1)\/3. Let w be ((-2)\/(-15))\/(6\/9). Which is the second smallest value? (a) -0.2 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b - 2*b**3)*(5*b - 2 + 2)*(-2 + 4 + 2) - 7*b**2 - b**4 + 7*b**2.\nAnswer: -41*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 3*r + 37 = -4*y, 50 - 2 = 2*y - 4*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 + 179484*c - 3588880 = 0 for c.\nAnswer: 20, 89722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 100 in ascending order.\nAnswer: 0, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2 + 8*u + 5. Let v be j(-3). Is -2\/41 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000092 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) 46 (d) -3 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*j - 16 = 230*j. Which is the third biggest value? (a) 1\/149 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 112*n**2 - 137*n - 1483. Determine f(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 132 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) -55 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.13957426 rounded to 3 decimal places?\nAnswer: -30.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31440517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 + (-1 - -2) - -7)) + -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(1\/((-4)\/(-6))). Let f(t) = t + 13. Let j be f(w). Suppose u - 2*u + j = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/sqrt(3)) - (sqrt(68)\/sqrt(4) + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 - (-10)\/(-2). Let o = d - -9. Suppose -72 = -4*y + o*p, y + 5*p - 30 + 1 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1150072*j*p**3 + 34*j*p**2 + 30*j - 3*p**2 wrt p?\nAnswer: -6900432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 - 78*p**5 - 30*p**2.\nAnswer: 120*p**3 - 4680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/8*(-120)\/180?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2. Let h(s) = -372495316*s. Determine h(m(n)).\nAnswer: -1117485948*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 13 + -17 + -5 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 394136*r*w**3 + 223*r*w + 31*r + 4*w - 2 wrt w?\nAnswer: 2364816*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 1 + (13 - 23) - 19?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 12 + 40 = 0. Let d be 74\/((h\/(-5))\/4). Round d to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 6. Suppose -2*f + h = 2, -s*h = -3*f - 3*h - 1. What is the lowest common multiple of 11 and 1\/(f + (-26)\/(-8))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 562, 1101, 1626, 2137, 2634?\n\"Answer: -7*t**2 + 560*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 - -20.7837\nAnswer: 20.3637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418442 is divided by 604586?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*d - 798 - 1681, 2*d + 4 = 0. Suppose 8*w = 3*w + 4*k + r, 0 = -3*w + 3*k + 300. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**8\/144 - s**7\/21 - 29*s**6\/360 + 11*s**5\/90 + s**4\/2 + 4*s**3\/9 + 10*s**2. Determine p so that f(p) = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0525034 tonnes to grams.\nAnswer: 52503.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68249 is divided by 288.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnh when three letters picked without replacement from nhnnhnnhhnhhhnnhhnh.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-72)\/(1640\/(-270) + 6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3554961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/4 of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 8*g - 4*g + 11*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.855 - -18.805. What is j rounded to zero decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 127 - 272 = k, 397 = 5*y - 3*k. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -1661*j**7\/210 - 83*j**4\/12 - j**3 + 1683*j**2 + j. What is the second derivative of b(u) wrt u?\nAnswer: -19932*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -230, -222, -214?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15)\/(38\/95).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 - -2 - (-7034 + 7020).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*3*-1)\/(-2*sqrt(392)) + 2)**2.\nAnswer: 6*sqrt(7)\/7 + 121\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, -38, -195, -410, -677?\n\"Answer: z**3 - 38*z**2 + 14*z + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 - 20?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-6)\/(-14) - (-2090)\/7 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12581508 by 633.\nAnswer: -19876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/6 - 11815*g - 3905000\/3 = 0. Calculate g.\nAnswer: -110, 71000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r + 55783 = 52*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -1\/14*j**2 + 1\/28*j**4 + 0*j**3 + 0*j + 6. Suppose f(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*s + 4*y + 9, -2*y + 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 224, 86, 57 in descending order.\nAnswer: 224, 86, 57, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 177247835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 54206*f. Let a(y) = -2*y. Calculate i(a(t)).\nAnswer: -108412*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2)*(-2)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -32*i - 12. Let g be d(-5). Suppose 15*h - g = 11*h. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t. Let b be p(1). Suppose i + b = -2*i. Let q = 16 + i. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + q - 125, -4*q = 6*f - 2*f - 244. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, t: 6, o: 2, j: 1, d: 3, a: 5}. Give prob of sequence oo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7515*t**2 + 10*t - 102. Let w(n) = -1503*n**2 + 2*n - 22. Let p(a) = 6*m(a) - 29*w(a). Find the second derivative of p(h) wrt h.\nAnswer: -3006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110695 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 526349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/7*24598\/(-753).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/52952 and -81\/105904.\nAnswer: 105904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 685 by -108988.\nAnswer: -685\/108988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, 4023, 11076, 20951?\nAnswer: 33648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(-21*(1\/18)\/((-185)\/74)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -17198262?\nAnswer: 17198250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17888*g = 17986*g - 3430 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 3*y + 1. What is the remainder when 49 is divided by k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjwjwwjwwwwjjjj.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110)\/2*(-26)\/65. Let z = p - 22. Suppose 0 = 3*n - 2*s - 44, 3*n - 3*s - 24 - 15 = z. What is the smallest common multiple of n and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 3*d**2 + 3*d - 3. Suppose 5 = 2*n - 1. Calculate c(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 433. What is the units digit of h(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -13*w + 640. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.37 + 2.57. What is the nearest to 9 in -3, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 2:33 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*l = 5*z - 1027, 3*z - 609 = 3*l. Suppose 5*r - z = 4*r + 5*x, -4*x - 418 = -2*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1622.72446?\nAnswer: 1621.72446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 18*y**3 - 9*y**2 - 14*y + 5. Calculate the remainder when w(3) is divided by 48.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + 2 + -1 + -66 + (-22 - -56).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340546.\nAnswer: 2, 41, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.008 + -34.992. Let h = z + 4. Let l = h - -30.96. Round l to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/25 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 611260271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*(s\/s**(-3\/8))\/s*s*s)*s**(-2)*(s**11*s)\/s**(-2\/3) assuming s is positive.\nAnswer: s**(199\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6838170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275 - 1737 = -74*w - 177*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690623 divided by 6?\nAnswer: 690623\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 4*a + 440. Suppose -5*k = -a - 45. Suppose f = 11 + k. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 1290*w - 416025.\nAnswer: -(w + 645)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7876.4906 - -142.8806. Let z = -7702 - x. Let j = -32 + z. Is 0.1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 40. Let y = x - 58. What is the greatest common factor of y and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -243711 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457489609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 17. Let l be ((-4)\/(-10))\/((-14)\/700). List the prime factors of h(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13959072 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1051493 rounded to three dps?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o + 98 = 0. Let r = 81 - o. Suppose 12*f - r = -f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2876*i + 2869*i + 2877*i + 2849*i - 1 - 14347*i + 1 + 2878*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 32 + u + 43 + 2*u - 2*u**2 to the form i + g*u**2 + w*u and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136\/3 - -41. Let p = 14\/3 + o. What is the closest to p in -3, -4, -5.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**4 + 11110324*m**3 - 9*m**2 - 2*m + 2973181.\nAnswer: -72*m + 66661944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**3 + 341*v**2 + 1282*v + 7928. Calculate m(-110).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/284 + -2195\/1988. Sort 4, g, -4 in decreasing order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -3.97. Let t = 7.4 - 8.4. Let n be ((-1)\/18)\/((-4)\/16). Which is the third biggest value? (a) -3 (b) t (c) n (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. What is the second derivative of 230*x**2 + 8*x + 2*x**y - 230*x**2 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 333 - -19?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2947 or -2948?\nAnswer: -2948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -91106771, -9 in increasing order.\nAnswer: -91106771, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -98*v**2. Let d(q) = -12691*q. Determine l(d(p)).\nAnswer: -15784025138*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4469 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**46*(p**(-1))**(6\/23) assuming p is positive.\nAnswer: p**(-1064\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14267, -13662, -13055, -12446, -11835?\nAnswer: -11222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2818*p*y - 21*y - 12 wrt p?\nAnswer: -2818*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/17 or 0.1?\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 165653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*f + 3, f = -f + 4*p + 12. Sort f, -3, -1.\nAnswer: -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-629)\/51 + (-2)\/(-6). Let s be (10\/v)\/((-5)\/30). Suppose -3*t - 327 = -2*o, 3*t + t = s*o - 828. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17388 and 162898512?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by ((-9)\/9)\/(1\/(-21))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3174*t = -2017*t. Factor 0*v + 1\/3*v**4 + 4\/3*v**3 - 5\/3*v**2 + t.\nAnswer: v**2*(v - 1)*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 2426*p**3 + 24351*p**2 - 21924*p.\nAnswer: -p*(p - 9)*(p - 1)*(p + 2436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = -5*o - 561. Let s be (1914\/o)\/((-2)\/6). Solve z + 20 = 5*h, z = -5*h + 1 + s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 9:49 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-32)\/u)\/(u**37*u))\/((u**(-3)*u)\/u*u**(-11)) assuming u is positive.\nAnswer: u**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-3)*(-4)\/(-20). Let v = 122\/437 + -4\/23. Put p, 0.2, v in increasing order.\nAnswer: p, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 - 9*a + 12. Is v(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**2\/2 - 9. Let y(x) = 21*x - 15*x - 9*x. What is k(y(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 116*r - 665. Calculate y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360*y + 453*y - 998*y)*(-2 - 1 + 4).\nAnswer: -185*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -4, 3, -62 in decreasing order.\nAnswer: 3, -4, -45, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2004.91 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 28244*u - 64 = -4*w - 28248*u, 3*u = -4*w - 0*u + 51 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*2\/(-10))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 523092 and 3498.\nAnswer: 304962636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 15*z + 270. Suppose -2*t = -y + 9, 9*t + 20 = 4*t + 2*y. Sort t, 2, z in decreasing order.\nAnswer: 2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -30. Suppose -29*r = -30*r + m. Find the second derivative of -115*z**3 + 3*z + 84*z**r + 0*z wrt z.\nAnswer: -186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -0.656?\nAnswer: 0.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47265212600 rounded to the nearest 1000000?\nAnswer: 47265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:26 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 3\/8 (c) -1784.82 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(54*l**2 - 54*l**2 + 2*l**3 + 0*l**3 - 5*l**3 + 4*l**3 + (l + 2*l**2 - l)*(l - l - 2*l) - l**3 + l**3 + l**3).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*f + 180, 3*f - 4*f + 45 = 5*j. Suppose -f = 6*p - 9*p. Let a = -12 + p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, j: 1, o: 2, p: 2}. Give prob of sequence jo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726 and 67701436?\nAnswer: 203104308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.2 - -3.9. Let n = -3.30000015 - t. What is n rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**4 - t - 1. Let s = -5 + 6. Let v(u) = -2 + 3 + 5*u - 2*u**2 + 4 - 3*u**4. Let i(j) = s*v(j) + 5*z(j). Find the third derivative of i(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f - 62. Let n be d(-19). What is the greatest common divisor of n and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -12*i**3 - 20*i**3 - 577*i**4 + 5 + 40*i + 323*i**4 - 8*i**5 - 76*i**2 + 9 + 316*i**4 = 0.\nAnswer: -1, -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1289, -3817, -8077, -14105, -21937, -31609, -43157?\nAnswer: -56617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*f = -21529, 13*u - 16*u + 5*f + 64571 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/4 (b) 0.8 (c) 3 (d) 3\/20 (e) 0.1 (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/4 - 3*k**4\/4 + 3*k**3\/4 + 11*k**2\/4 + 3*k\/2 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/13 and -1\/766.\nAnswer: 9958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -165*m**5\/2 + 265*m**4 - 75*m**3\/2 - 45*m**2 = 0?\nAnswer: -1\/3, 0, 6\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**2 - 2267260*j - 2267265 = 0.\nAnswer: -1, 453453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 46072*k + 265328648 = 0. What is k?\nAnswer: 11518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Suppose 0*a = -h*a - 2*k + 2, 4*k - 4 = 0. Suppose q + 0*n - 8 = 2*n, a = -2*q + 2*n + 18. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*b + 2216 + 10312 = 0 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 4*z + 9. Give j(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*a + 19, 3*p = -a + 2*a - 18. Let o be (3292\/(-12) + 7)*a\/2. Let q = o + 601. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33.22 - 0.78. Let o = -23 - a. Let m = o - 9.3. Put 3, 0.2, m, -1\/4 in decreasing order.\nAnswer: 3, m, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 = 4*a + 2*y, 4*a + 3*y = 15. Suppose 0 = a*h - 71 - 4. Let f = -25 + h. Solve n - 8 + 4 = f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 3*d**2 - 15*d - 4*d**2 - 7*d**4 + 8*d**4 as r + l*d + y*d**3 + f*d**4 + z*d**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 + 381 + 3913*s**2 - 188.\nAnswer: 3913*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317 or -95483?\nAnswer: -95483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4371.94071 + -4372. Let c = 0.06 + l. Round c to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 12*p - 50. Calculate the lowest common multiple of p and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1829*g - 5. Let c(z) = -1830*z + 5. Let h(v) = 4*c(v) + 5*w(v). Let u be h(6). Suppose -u = -16*y + 11*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 4*b**2 + 9. Let a be q(-4). Suppose a = r + 70. Suppose 11*i - r*i = 8488. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -9*v**4\/26 + 8*v**3\/13 - 4*v**2\/13 + 54. Determine g, given that z(g) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24536, 49071, 73606, 98141, 122676, 147211?\n\"Answer: 24535*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.576002nm in millimeters?\nAnswer: 0.000007576002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 + s. Suppose -6*q = -135 + 81. What is the lowest common multiple of w(-1) and 153\/q + -2 + 8\/(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1140, 696, 254, -186, -624?\n\"Answer: h**2 - 447*h + 1586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 plus -2453339.02?\nAnswer: -2453613.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20986 is divided by 151.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222 is divided by 1086.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**3\/3 - 25*p**2\/2 + 4*p. Let r be z(15). Calculate the highest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4395 * -14.991\nAnswer: -36.5705445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Is -1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 15. Let k be g(-7). Let x(y) = -y - 3. Let m be x(k). Which is the closest to -0.3? (a) -0.5 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29381, 30440, 31499, 32558, 33617?\nAnswer: 34676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238819003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00852 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c76 (base 14) to base 8.\nAnswer: -152500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 798959980 = -3*u, 5*u + 4*z = 3*u - 532639984. Round u to the nearest one million.\nAnswer: -266000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 29 = -13*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28005 and 4305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**7\/210 - t**6\/50 - t**5\/100 + t**4\/20 + t**3\/15 + 4*t - 15. Determine m so that n(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4*2)\/((-13)\/(-130)*-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*l**2 + 150*l**2 - 8*l**2 to the form q*l**2 + z*l + y and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4687, -1172, 4681, 12872, 23401, 36268, 51473?\nAnswer: 69016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1\/9, -0.2, -30\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Suppose 0 = 4*h - 0*h + 5*j - 89, 5*h + j - 106 = r. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -366, -296, -170, 18, 274, 604?\n\"Answer: d**3 + 22*d**2 - 3*d - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*h - 7487 + 6987. What is the highest common factor of h and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.021 - -5.021. What is the biggest value in 4, q, -0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39323165 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-15)*((-444)\/(-48))\/37*(-33)\/14.\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:50 AM?\nAnswer: 349","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 85*q + 260.\nAnswer: 5*(q + 4)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12530 + 38290. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imxaixxmmii. What is prob of picking 1 x, 1 a, and 2 m?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 21*l - 36. Suppose 3*f = -5*p - 47, 14*p - 4 = 12*p. Let d be x(f). Solve 3*j - 3*y = -3, y - d*y = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 5, -13023.18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-65*-5*1\/(-25) + 8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-12))\/((-3)\/48). Solve j = 3*x - 7 + o, -3*j = 3*x + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16943?\nAnswer: 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6267.\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485359 + 488863 = -73*i for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 18.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -0.2, -1\/3, -4, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + m = 6*d - 1, -3*d - 21 = 3*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 4*y**2 - 4*y + 8. Let b(o) = o**3 + 5*o**2 - 4*o + 8. Let x(i) = -3*b(i) + 2*n(i). What is the smallest common multiple of x(7) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3715 + 4021. Calculate the remainder when 929 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*i - 848, -i + q + 429 - 146 = 0. Let w = i + -302. Do w and -31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17003?\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3772.4 * -0.3.\nAnswer: -1131.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12108 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19155, -38225, -57211, -76113, -94931?\n\"Answer: 42*u**2 - 19196*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c. Let g(s) = 15*s**2 + s. Let f(p) = 2*p**2 + p. Let z(u) = -f(u) + g(u). Give t(z(o)).\nAnswer: 91*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3612)\/(-70))\/2 + (-24)\/(-300)*-10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700405 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -390.9 + 433. Let b = 39 - m. Let g = b - -3.2. Which is bigger: -2\/37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/120 - r**5\/4 + r**4\/2 + 43*r**3\/6 - 199*r**2. Let p be c(-16). Solve 0 = -d - p + 103 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h + 15 = 40*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 58244935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 4. Suppose 14 = -3*l + 2*u - 2, 0 = -x*l + u - 13. What is the tens digit of ((-8)\/(-6) + l)*-30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1613*u**2 - 1221*u**2 + 2831*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 9983.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8220 + 408. What is m rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let t(n) = 101*n**2 + 38. Calculate g(t(d)).\nAnswer: -101*d**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(16 + -18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -9*o - o. Differentiate 0 + o*w + 14 - 3 + 4*w with respect to w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115531 (base 7) to base 12.\nAnswer: 1031a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 501*h**4 - 2*h**3 - 146*h**2 + 146*h**2 - 347*h**4 + h**3 + h**4 - h**3 + (h - h + 2*h**3)*(0*h + 5*h - 3*h).\nAnswer: 159*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 0*u - 2*u)*(-1 + 0 - 3) + 45*u + 1 - 1 - 4*u + (u + 2*u + 0*u)*(2 + 1 - 5) to q + s*u and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-444)\/(-37)*2\/6. Suppose -5*g - 4*w + 4445 = w, -c*w + 889 = g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d**2 + 44\/3*d + 4\/9*d**3 + 280\/9 = 0. Calculate d.\nAnswer: -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 + 243. Solve 0 = -2*m + l*o - 2*o, -5*m + 3 = -4*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308*q - 59551 = 613*q for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55429, 110699, 165645, 220105, 273917, 326919?\nAnswer: 378949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -62\/9 (c) -1.7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*w - 4*r, -3*w + 5*r = 17 - 102. What is the lowest common multiple of w and 92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21181 + 8447 = 497*p + 9401 + 3709 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-11) + 23 + (-8389710)\/330. What is m rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(-2*r - 3*r + r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29571\/2 + -495707\/34. Let b = -206 + u. Sort 5\/2, 0.1, b in ascending order.\nAnswer: b, 0.1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 306, 397, 488?\n\"Answer: 91*k + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a year in months?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 11:27 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109173696, -218347393, -327521090, -436694787, -545868484, -655042181?\nAnswer: -764215878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -32.4, -354118?\nAnswer: -354118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 14*d - 15*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**1)\/c)**(-28)*c\/(c*c**(-4\/9)\/c*c)*c*c**(7\/2))**(-2\/29) assuming c is positive.\nAnswer: c**(-593\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 + 117\/2. What is the common denominator of t and 61\/1090?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 414*w + 46430. Give h(-101).\nAnswer: 4616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*q - 3295 = -371*q + 15050 + 5207 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30 + (-80)\/((-31360)\/(-11874)) and ((-1)\/10)\/(12\/710).\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-810))\/(18\/(-30))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, 56.5, -180\/637?\nAnswer: -180\/637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 21495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 91*v**2 - 26*v - 146*v**2 + 57*v**2 - 2 + 3*v**3 - v in the form y*v**3 + m*v + d + t*v**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -49. Let z = -24.384 - v. Let x = 0.016 - z. Which is the closest to 2\/3? (a) x (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/12 - 26*b. Let h(w) be the first derivative of 5*w**2\/2 - 3. What is h(t(j))?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4268 and 94693049.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 2.3, 9437 in descending order.\nAnswer: 9437, 2.3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 13418.2.\nAnswer: 402.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/41 (b) 0.4 (c) -150.2 (d) -1\/3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1747, -1754, -1765, -1780, -1799, -1822, -1849?\n\"Answer: -2*j**2 - j - 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 3*n**2 - n - 3. Let h be q(-3). Let v = h - 0. Let b = -87 - -433\/5. What is the closest to 2 in -4, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0, -2\/15, 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -8*p + 484. Suppose 65 = 26*t - p. Which is the biggest value? (a) 2 (b) 23 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/4 + 13\/52. Let y = f - 0. Suppose 0 = y*a + 2 - 52. Calculate the remainder when 37 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693976 less than 1693978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10611154136 minus 697?\nAnswer: -10611154833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 - 492*z + 29002. Calculate a(46).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Suppose 3*x = -4*m + 8, 0 = -2*x - x - 3*m + 12. Let y(n) = 4 - 4 + x*n - 6*n. What is g(y(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Let g = s - 3. Let j(h) = h**2 - 6*h**g + 4*h + h**2 - 3 + h**3. Give j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 68 + 54 + -81.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 80*j**2 - 6*j + 6. Let i(d) = -880*d**2 + 65*d - 65. Give 6*i(s) + 65*o(s).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143)*1*-3)\/sqrt(11)*4 + -2.\nAnswer: -8*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65*k**2*z - 19*k**2 + k*z - 3*k wrt z?\nAnswer: 65*k**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*y - 14, 0*y - 3*y = -2*s - 10. Let i be s - 1\/(-1 + 3). Is 2 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2498 - (18 + 7) - -7. What is the greatest common factor of 8370 and r?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92487 or -92481?\nAnswer: -92481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5031.\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = 5. Solve 4*c - v = 25, 3*v + o = c + 2*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -618.8529644 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*k + 32 = 0, 0 = -i + k - 6*k + 4. Let b(n) = -2*n - 28. Calculate the smallest common multiple of 28 and b(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23440?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -70*g - 145. Let s(q) = 23*q + 40. Give 7*s(y) + 2*w(y).\nAnswer: 21*y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113*q**2*s**3 - 6*q**2*s - 1202*q**2 wrt s?\nAnswer: -339*q**2*s**2 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -17 - 3. Let o be 2\/(-1 - (-7)\/h). Suppose -v - 2*k = -4*k - 12, 2*v + o*k = 24. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*v**4 - v**3 - 703*v**2 - 155719 wrt v?\nAnswer: -52*v**3 - 3*v**2 - 1406*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -181c (base 13) in base 2?\nAnswer: -110111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z**2 - 3*z + 2. Let l(n) = 11*n**2 - 2*n + 1. Let x(h) = -2*k(h) + 3*l(h). Suppose 2*d - 1 = a, 2*a + 5*d = -3*a + 10. Does 8 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-396 + 216 + 216)*(23*r**3 - 27*r**3 + 12*r**3 - 19*r) as j + v*r + l*r**3 + x*r**2 and give v.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13091*c - 66001*c - 436085*c.\nAnswer: -488995*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 + 7*n**2 + 75*n + 5. Let u(y) = 8*y**3 - 17*y**2 - 187*y - 12. Determine -12*f(k) - 5*u(k).\nAnswer: -4*k**3 + k**2 + 35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -29) + 41 + 41?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916 - 498 + 5*p - 418.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*c*h*l**3*v + c*h*l + c*h*v - 253*c*l**3*v**2 + 2*c*l**3*v + c*l*v**2 - 9*h*l**2 - 4*h*l*v**2 wrt v?\nAnswer: -506*c*l**3 + 2*c*l - 8*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 - 3*f + 2. Let v(a) = a + 5. Let n be v(-2). What is s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -24*n - 7 + 0 + 63*n - 23*n - 17*n - 6*n**2 - n**3. Suppose -18 = -3*h + 4*b, -2*b = -5*h - 0 + 16. Suppose -5*o = h + 28. Give i(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.80405408 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 6:17 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7235.701 millilitres to litres.\nAnswer: 7.235701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/22122 and 49\/31464.\nAnswer: 38669256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*b + 6 - b - 5 + 9 wrt b?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1522*z**3 - 2*z - 1. Let m be x(-1). What is the thousands digit of m*(-1)\/(-7 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1752 and 3?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 1703\/7. Is -3 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 176*d + 3691. Calculate y(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 4*g**2 + 7*g - 5. Give s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - -0.3. Let c = s + -0.34. Let m = -0.8 - -0.8. What is the biggest value in -0.2, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708280.\nAnswer: 2, 5, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n. Let l(m) = m - 5*m + 3*m + 2*m + 18. Let j be l(-13). Let z(v) = -3*v - j*v + 7*v. Determine k(z(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 2*a - 218 - 89 = -6*t, a = 183 - 179 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13416 and 19924.\nAnswer: 66825096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 2 s when four letters picked without replacement from {m: 1, c: 3, s: 2, d: 5, u: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 + 168 - 168.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 5 = -43. Solve 0 = k + 5*j + i, -3*j - 1 = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r + 2 - 124*r**2 - 4*r - 2*r + 6*r**3 + 126*r**2 - r to the form f + s*r + c*r**2 + x*r**3 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 2*i**6\/15 - 11*i**3\/3 + 4*i**2. Find the first derivative of h(t) wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*((sqrt(832) + 1 + sqrt(832))*3 + -2))**2.\nAnswer: 1536*sqrt(13) + 479248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from unnnpfpppfnfpfapynnf?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-180))\/(15*(-2)\/4*196\/(-882)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*z - 5*y - 17, 2*y = 2*z - 16. Sort 1, -2, z, -18 in ascending order.\nAnswer: -18, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21454465 (base 7) to base 11.\nAnswer: -1050683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, l: 1, y: 1, u: 4, q: 3, s: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2\/13*g**2 + 168\/13 - 10\/13*g = 0.\nAnswer: -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q - 15. Let a(v) = 4*v + 7. Let f(o) = 5*a(o) + 2*c(o). List the prime factors of f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**2*j*q**2*u**3 + g**2*j*q**2*u**2 + 4*g**2*j*u**3 - g**2*j*u**2 - g**2*q**2*u + 2*g*j*q**2*u + 2*g*j*q wrt u?\nAnswer: 24*g**2*j*q**2 + 24*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 = 5*c. Let y(r) = -11 - 19*r + 90 - 40 - 30. Let f(a) = -9*a + 4. Give c*y(s) - 9*f(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k = -4598*k - 465*k + 627*k + 365820 for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 3. Let y be l(8). What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18461*c - 55*c**4 + 18461*c - 17 wrt c.\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22.476 (b) -0.18 (c) 1\/4 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364 - -364.8. Which is the third smallest value? (a) 7\/2 (b) -5 (c) 5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/75 + (-28)\/5. Let v be o\/54 - 220\/(-36). Let s be 1\/(-2) + v\/(-36). Sort 1\/8, s, -5.\nAnswer: -5, s, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -320882128, -320882127, -320882126, -320882125?\n\"Answer: v - 320882129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 71 = -3*z - z, 4*s - 5*z = -55. Let l be 6\/s - 26\/10. Let o = 5 + l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 463)\/19 + 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 61*d**2 - 70*d**2 - 2*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (249\/(-9) + 13)\/((-1)\/6). Find the first derivative of s*b - 126*b + 70*b + 315 wrt b.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189891603 to the nearest integer?\nAnswer: 13780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -45 + 62 - 7*s**3 - 4*s + 7*s**3 - 11*s**4. Let f(h) = -33*h**4 - 11*h + 51. Let j(d) = -4*f(d) + 11*z(d). Differentiate j(m) with respect to m.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980126 is divided by 3859?\nAnswer: 3799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**3 - 5*r**2 - 5*r + 1. Suppose -9 - 1 = -5*v. Let o(a) = 3*a**3 - 2*a**2 - 2*a. Calculate v*f(y) - 5*o(y).\nAnswer: -y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -629 + 257. Let s = t - -575. List the prime factors of s.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 140?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**27*(n*n**(-18\/5))\/n assuming n is positive.\nAnswer: n**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 13 = 5*s - 11, 2*s - 5*t = -4. Let d be (1 - 1) + s\/(-18). Suppose 1 = -158*l - 1 + 2. Which is greater: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 429576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/z*z*z**3*z)\/(z**8\/((z\/(z\/((z*z**(-6))\/z)))\/z*z)) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 146\/7, 1.2, -15, -1.5, -0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 6*m. Let a(k) = -k**2 + k - 1. Suppose -c + 2*g - 7 = 4*c, -3*c - 17 = 2*g. Let o(h) = -2*h**2 + h - 4. Calculate c*a(j) + m*o(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -128489967+-253\nAnswer: -128490220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -258 + 150. Calculate the lowest common multiple of r and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 5*o + 1. Let p(w) = 3*w + 7. Let j be p(6). Let h = -16 + j. Suppose 5*i - 31 = 2*y - 5*y, -3*i + h = -3*y. Determine x(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153) - (sqrt(153) - -1*sqrt(153)*-4) - sqrt(153))\/(sqrt(225)*-1).\nAnswer: -3*sqrt(17)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:03 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 461677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 689.726 + -691. Let c = o + 1.27398117. Round c to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13160 divided by -2632\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 107*j**2 + j - 7. Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Find the second derivative of 5*z**3 + z - 4*z**3 + 5*z**o wrt z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9*d - 14*d - 260 = 0, -4*d + 12 = 0. Let i be -2*((-9)\/(-1) + 2). Let v = i + g. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(-3)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12099 - 12099.00030027. What is b rounded to 6 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -544143 + -3?\nAnswer: -544146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5291, -10585, -15887, -21197?\n\"Answer: -4*v**2 - 5282*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 32 = 8*w. Which is smaller: w or -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.79 and 258.277.\nAnswer: 204.03883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 2*h + 1. Suppose 186 = -12*v + 66. Let w = v - -11. Give n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 53 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14008 less than or equal to 14006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 142 = 2. Solve -3*d - 7 = -5*c + 8, -d + 2*c - f = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqdg when four letters picked without replacement from {m: 6, g: 2, d: 3, v: 2, q: 4}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2 + 29373*n - 21240 wrt n?\nAnswer: 2*n + 29373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -830 - -795. Let b(x) = x**2 + 32*x - 78. Let l be b(u). Calculate the greatest common divisor of 1107 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 3195?\nAnswer: 3195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -88 - (-2 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 831*l**2. Let m(o) = 3*o**2 - 6*o + 2. Let g(i) = -4*i**2 + 9*i - 3. Let p(t) = -2*g(t) - 3*m(t). Determine p(u(q)).\nAnswer: -690561*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*i = 145*i - 42 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7518 and 455?\nAnswer: 488670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3973800 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 2*i**2 + 9*i - 33. Determine b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -4*p**3\/3 - 16*p**2 - 359*p. Determine n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 10*n - 2*n**2 + 2*n**2 + 10*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9166.455 micrograms in tonnes?\nAnswer: 0.000000009166455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {u: 4, h: 4, g: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -2049, 5, 3 in decreasing order.\nAnswer: 5, 3, 2, -1, -2049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 5 (c) -106 (d) -7 (e) 1\/2 (f) 0 (g) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9286 + -167009\/18. Find the common denominator of j and -89\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 41. Let q be (5\/4)\/(o\/24). Let c = -13 - -14. Sort c, q, -2.\nAnswer: q, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -59 + 59 + 20*z. Let p(r) be the second derivative of -r**4\/6 - 10*r. Give p(s(n)).\nAnswer: -800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -513.35 + 7.35. Let x = u + 502. Let h = 0.1 - 0.6. Which is the closest to 2\/3? (a) h (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 2. Suppose 41 = -3*q + 3*z - 2*z, 3*q + 47 = 4*z. Let a be ((-39)\/1)\/(-3) - -2. Let f = q + a. Calculate h(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 k when four letters picked without replacement from kqoqoqoqooooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 8350630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213.456281 + 0.059442.\nAnswer: 213.515723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:07 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -1. Let h = -2.5 - i. Suppose 0 = 3*f - 2*f - 2*t + 9, t = -f + 3. What is the third smallest value in h, 0.1, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v + 119. Let q be h(14). Is 4 a factor of q\/(-14)*8 + 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-29)\/(-12296))\/((-1485)\/792))\/(2\/(-30))?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 17*a + 160747 = 4*d, 2*d - 321482 = -2*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2. Let n(s) be the second derivative of 35*s + 1\/3*s**3 + 0*s**2 + 2. Determine n(o(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214.91 - 216. Let u = -1.19 - t. Sort -0.2, 1, u, -0.3 in decreasing order.\nAnswer: 1, u, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64 - 64 - 36*w + (-5*w + 4*w + 3*w)*(-3 + 4 + 2) + 4 + w - 2 - 8.\nAnswer: -29*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -399999*h - 5. Let w be (-530)\/(-110) + (-2)\/(-11). Suppose -4*o = -2*l - 28, 2*l + 37 = w*o - l. Let t be y(o). Round t to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x + 39*x = 110*x - 64 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -480472 + 480472. Factor -2\/3*r**4 - 8\/3*r**3 + p + 0*r + 10\/3*r**2.\nAnswer: -2*r**2*(r - 1)*(r + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -24*t + 45. Let v be p(4). Let i = v + 57. Let f(b) = -6*b**2 + 5 + 5*b**2 - 3*b**2 + 5*b. Let w(k) = 2*k**2 - 3*k - 3. What is i*f(a) + 10*w(a)?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + b + 1. Let k(m) = -m**3 - 10*m**2 - 3*m + 5. Let h(f) = k(f) - 3*x(f). Let r be h(-6). Suppose 0 = 6*j - r*j - 8. Which is greater: j or 1.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 3*f**2 + 5*f + 6. Let p = 4 + -2. Suppose -l = k + p*k + 14, 10 = l - 3*k. Let m be 20\/l*10\/25. What is i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 740*s**5 - 140*s**2 - 10*s wrt s.\nAnswer: 44400*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/(-65))\/(-4*4\/(-80))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15416 is divided by 3082.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 9455 + -3*15\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1453568 divided by 10688.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 54*w**2 - 18 - 26 - 52*w**2 + 44. Let r(p) = -19*p - 61. Determine r(c(f)).\nAnswer: -38*f**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 26749?\nAnswer: -26753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 13. Let w(i) = 7*i - 132. Let p be w(q). Let l = -2 + 4. Solve -6*c = -l*r - 2*c + 12, -p = -4*r + 4*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/9 + 9)*(-95)\/950?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11020302 + 12032221?\nAnswer: 23113123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 54 + 32 + 22 - 34*c - 3*c**2 to k*c + w*c**2 + r and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 517251731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12 - 35*k**2 + 71*k**2 - 35*k**2 + 17*k. Let r be w(-18). Suppose -29*h + 32*h - r = 0. Solve -z + h = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*l - 87, 49 = -k - 6*l + 2*l. Suppose -5*c - 4*x = -424, -3*c - x - 356 = -7*c. Let d = c + k. Is d 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 12942 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -29a?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1305.4253 + 1368.55947. Let z = 62.6041618 - g. Let a = z - -0.53. What is a rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (41 - 3\/(-3)*4) + -3 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 4*l - 13. Let t = 0 - l. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*p - 13140 = 71*p. Which is smaller: -1459 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Let l(k) = -k**2 - k + 2. Let v be l(-2). Which is the nearest to y? (a) v (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003728 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**4\/24 + 34*a**3\/3 + 14*a**2 + 1. Let d(h) = -h**2. What is q(d(b))?\nAnswer: b**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 3007584?\nAnswer: 15037920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 6*s + 48 = 10*s, p - 12 = 76*s - 74*s for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 232 = -4*x + 13*u, -u = -4. What is the least common multiple of 20 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/666 and 89\/1036.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*b + 57*b - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) 11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5804*m**2 - 248300*m - 54696.\nAnswer: 4*(m - 43)*(1451*m + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*w + 44, 7*v - 3*v - 28 = 2*w. Let m be 3\/((-1)\/((-60)\/v)). Let h be 6\/(-4)*m\/(-2). Solve -4*t = -5 - 15, h = 5*i + t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -2 + (-1 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let f(n) be the second derivative of -13*n**4\/6 + n**2\/2 - 15*n + 3. Calculate r(f(x)).\nAnswer: 676*x**4 - 52*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 293 = 2*j, -n + 28 + 29 = -2*j. Calculate the remainder when n is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 58 + 90 = 4*h, -v + 14 = 3*h. Let k be 2 - 9 - 140\/(-20). Put v, 1, -39, k in ascending order.\nAnswer: -39, k, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2133.8 - -751. Let j = -1383.80008 - w. Let m = 1 + j. What is m rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 7, l: 3}. Give prob of picking 1 u and 1 a.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28\/3, 1, -58, 0?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -77, -100, -107, -92?\n\"Answer: x**3 - x**2 - 37*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15170 and 6275050?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -10014503?\nAnswer: -10014524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 6*n - 7. Let s(l) = -l**3 + 2*l**2 + 9*l - 7. Let w be s(4). What are the prime factors of g(w)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -893*a**3*u - 32*a**3 + 206*a*u - 109*a + u wrt a?\nAnswer: -5358*a*u - 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 8*h - 25*h + 46. Determine d so that -15\/2 - 9\/2*d**h - 3\/2*d**3 + 27\/2*d = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 20*x**2 - 27*x + 14. Let h be m(-24). Let y = h - 1555. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let h be u(2). Let z be (-3)\/(h + (-1 - -1)). Let x(i) = i + 3. Let r be x(z). Solve 10 = 2*g, -v - g + 2 = -r*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) -2 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 481182.6037.\nAnswer: 481187.6037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 10. Let r be (160 - 6)\/((-2)\/(-1)). Suppose 3*u + 4*u = -r. What is the units digit of g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 greater than -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -37391\/5 and -7479 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-6800)\/(-260) - (-4)\/26. Suppose -32*t + 10 = -34*t. Sort x, 0, t in increasing order.\nAnswer: x, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*f - 10, -3*t + 3*f + 6 = -0. Suppose -t*o - 3*c + 1589985 = 0, 2*c + 2120010 = 4*o - 0*c. What is o rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -132. Which is the second smallest value? (a) q (b) 0.1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) - (-690)\/35 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11237 + 11477. Does z = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21415171*k**5 + 1527482486*k.\nAnswer: -428303420*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((4 - (0 - 0)) + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29715086 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-258)\/(-9) - (0 + (-1)\/3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 7*u**3 - 4*u**3 - 5*u**3 + 2*u.\nAnswer: -4*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 20711691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0835 - 225219541\nAnswer: -225219540.9165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-1 + 0 - 2)*(-5 + 1 + 1)*(12*i - 8 + 8) to the form t + l*i and give l.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -12*j + 7*j + 55, -j - j + 20 = 0. Let y(i) be the first derivative of -27*i**2\/2 - i - 1. Calculate y(o).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - t - 9 = 0, 2*f + 3*t - 4 - 11 = 0. Suppose -g = -2*g - f*g. Suppose g = j - 4*j + 63. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 8*i + 4. Let v(f) = 15*f - 9. Let x(z) = -7*z + 4. Let j(b) = -4*v(b) - 10*x(b). Let p be j(1). What are the prime factors of a(p)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 32*p**3 - p**2 + 2*p + 4. Let z(b) = -160*b**3 + 6*b**2 - 11*b - 19. Let t(s) = 22*q(s) + 4*z(s). Find the third derivative of t(v) wrt v.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -4.362\nAnswer: -30.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34799 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6837077\/6 + 1139513. Find g such that p*g**4 + 7*g**2 + 26\/3*g + 7\/2 + 2*g**3 = 0.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3749560 = 26*b + 14*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*f + f + f)*(-f + 2*f + f) + 2*f**2 + f**2 + f**2 to the form i*f + q*f**2 + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10}. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1a353?\nAnswer: 1a351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. List the prime factors of (1 + x)*(20 + -5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -32. Suppose 0 = 8*m - r*m - 76. Solve 2*x + k + m = -2*x, 0 = -5*x - 2*k - 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from {f: 2, z: 10}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c - -2?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*j + 10, -4*l + j - 1 = 39. Let w(m) = -m**2 - 25*m - 2. Is w(l) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 234*h**7\/35 + 1259*h**3\/6 + 4*h**2 - 191*h. Differentiate r(v) wrt v.\nAnswer: 5616*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmdpdgkppqq. What is prob of sequence kd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44121 (base 10) in base 16?\nAnswer: -ac59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + o = 14 - 19, 3*f - 10 = -o. Suppose 3*q = -3*t - 3, -4*q = -f*t - t - 28. Solve 4*v + 21 = -5*h - 11, 1 = 2*h - q*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:25 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 6:26 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 9:21 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 90, 93, 98, 105?\n\"Answer: i**2 + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0, 5, 2, 562 in descending order.\nAnswer: 562, 5, 2, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 15. Let v be (2*-5 - 1)*1. Let c(i) be the first derivative of i**2 - 4*i + 1. Let l be c(5). Let p(u) = u - 8. Give l*z(x) + v*p(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 367538 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:34 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2\/3 (c) -33\/23 (d) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3624195 and 3.6.\nAnswer: 1.3047102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492092017.\nAnswer: 1543, 318919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 3*i**2 - 3*i - 3. Let q be k(-3). Suppose -q + 15 = r. What is the least common multiple of 1 + 9 - (2 + -3) and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49452 - -49452. Let o be (1\/((-1)\/4))\/(-1). Let r(w) = -3*w**2 + o*w**2 + 1 + w - 4. Determine r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4*f + f)*(1 - 16 - 186*f**2 + 15).\nAnswer: 558*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - p**3 + (-p**3 + 3*p**2 - 3*p**2)*(-4 + 1 + 1))*(-1 - 6 + 8 + 8*p**2).\nAnswer: 8*p**5 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 44*a**3 + 304*a**2 - 52*a - 188. What is b(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 1, c: 7, o: 2, k: 2, z: 1}. What is prob of picking 2 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29486 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2) + 0)*2. Suppose 0 = -u + 3*u - 26. List the prime factors of u\/d - 4\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.2, 8, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-4)\/(-246))*(-657)\/(-2628))\/(1\/4)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 422 and -5067878355.\nAnswer: -5067877933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = 5*x - q, 2*x + 0*q = -q - 141. Let d = -4 - x. Let i = 97 - -63. Calculate the greatest common divisor of d and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -5*x**4\/24 - 3957*x**2. Let h(y) = -16*y - 2. Give s(h(m)).\nAnswer: 80*m + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31496\/(-1364) + (24 - 1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 2*p**4 + 4*p**4 + (-3*p**2 + 0*p**2 + 5*p**2)*(2*p**2 + p - p) + (3 - p - 3 - 1)*(-9*p - 11*p**3 + 9*p).\nAnswer: 17*p**4 + 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*(-2 - -5 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6)*406\/(-29). Suppose q - 4*q - 13 = 2*x, -5*x + q = -10. Let m be 0\/x - (1 - 6). Solve n = -5*d - o, 3*d + m*o = 7*d + 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 4160*u - 4165.\nAnswer: 5*(u - 833)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 8*n**2 + 11*n + 6. Let o be r(-6). Let s be o\/(-14) + (-31)\/(-28). Solve -s - 3\/4*i + 3\/4*i**3 + 1\/4*i**2 = 0 for i.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26104 is divided by 901?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4317 - 4320. Suppose -a + 5 = -3*b, -6*a + b - 3 = -a. Let s(y) = 3*y - 5. Let d(z) = 1. What is a*s(r) + l*d(r)?\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**4 + 6. Let v(r) = -21*r**4 - 19. Let c(i) = 8*f(i) + 3*v(i). Differentiate c(l) with respect to l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 537989 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19357 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21785730 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2046.7 or 5?\nAnswer: -2046.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*o + 174*o + 613*o + 1303*o in the form b + j*o and give j.\nAnswer: 2061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 3*u**2 + u - 1. Let v be l(3). Suppose -v*o + o = -6. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + (2 - (-1 - -1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 3*q**3 + 9 - 8*q**3 + 3*q**3 + (-13*q + 19*q + 19*q)*(-1 + 1 - 2*q**2).\nAnswer: -52*q**3 + q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*v + 498 = -108, 5*v = -2*t + 429. Let g = t + 532. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 18.5. Let g = 1.7 - f. What is the smallest value in -2\/3, 0, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < 21965\/1942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -16*z - 51. Let j be r(-3). Which is the nearest to 0? (a) -2 (b) j (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8922 - -8922. Solve q + q - 5*m + 7 = a, q + 3*m - 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.43103 rounded to one dp?\nAnswer: 62.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 - (-12 - (-34 - -12)) - 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4519 - 4515 = -3*v, -4*v - 12 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27847167 to the power of 1\/2, to the nearest integer?\nAnswer: 5277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from tubbuqqxuxbouuoxbu.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -212*w**3 + 15*w**2 + 68*w + 19. Is s(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p**2 + 1. Let t(l) = -2*l**2 - l + 3. Let j(n) = t(n) - 2*z(n). Let k be j(1). Solve -7*y - 20 = -k*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18900 and 24.\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2, -0.1, -272 in decreasing order.\nAnswer: 2, 1, -0.1, -3, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2410*n - 71240 = -2414*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9977640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o + 460 - 460)*(25 + 30 - 20).\nAnswer: 385*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Find the third derivative of -3981 - 139*q**m + 65*q**2 + 3981 wrt q.\nAnswer: -3336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.477 + -132.477. Sort 0.5, -0.3, -31, u in descending order.\nAnswer: 0.5, -0.3, -31, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-3) + 27\/(-7) and 4\/14 + 8194\/2142.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 138*p**2 + 818*p + 913. Give g(-132).\nAnswer: -2519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -24*n**2 - 7*n + 7. Let o(w) be the third derivative of w**5\/60 + w**4\/24 - w**3\/6 - 853*w**2. What is 2*c(t) + 14*o(t)?\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 9. Let g be w(-13). Suppose 3*y - 7 = -g*j + 4*y, 5*y = 3*j + 16. Differentiate r**j - 1 + 0 - 5*r**3 with respect to r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5903, 5079, 3709, 1793, -669, -3677, -7231?\nAnswer: -11331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 8\/3*f**3 - 9 - 45\/2*f**2 + 41*f. Let b(x) be the first derivative of z(x). What is the derivative of b(a) wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32016 + -21748. Is 78 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4442186090.\nAnswer: 2, 5, 1297, 342497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/7 + 125*h\/7 - 384\/7 = 0. What is h?\nAnswer: -128, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57596 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(52)\/sqrt(4))**2 + (sqrt(208)*1)**2.\nAnswer: -2*sqrt(13) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - v + 0 + (3*v - 200 + 200)*(-3 - 1 + 6).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16095 is divided by 2900?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3277 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151748550 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 533 + -501. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 a when four letters picked without replacement from gaxugulugugglalgug?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 7*d**2 + 18*d + 16. Let t be q(-9). Suppose -2*g = -g + n, 2*n = 2*g - t. Let r(c) = c**2 - 3. Calculate r(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnl when three letters picked without replacement from {l: 1, n: 5, f: 12}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 35*i - 3. Let p(d) = -22*d**2 - 4*d - 152. Let r(l) = 153*l**2 + 27*l + 1026. Let c(f) = 27*p(f) + 4*r(f). Calculate v(c(k)).\nAnswer: 630*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10469)\/(-232) - 46)*(-10)\/14?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-130)\/56))\/(8\/560*28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o + 3*o)*(-3 - o**2 + 3) - 1 + 1 - o**3 + 2*o - 2*o + 2*o**3 + (2 + 0 + 3)*(3*o**3 - 4*o**3 + 0*o**3).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:07 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a + 2*a - a)*(-8 + 214 + 254).\nAnswer: 6900*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l - 8. Let y be c(-8). Suppose -s + 5*s - 12 = y. Let x = 18 + s. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -4*s. Put -1, s, -5 in descending order.\nAnswer: -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3690 and 32490?\nAnswer: 1332090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -6*r + 15. Let u(z) = -2*z**3 - 3*z**2 - z + 5. Is u(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5706401 and 0.1.\nAnswer: 0.6706401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10750416 and 144?\nAnswer: 32251248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 114*m**2 - 26*m - 23483. Calculate i(116).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (29\/(-2) - (6 + -11))*-82?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/((-11)\/(-99)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + y**2 + 10*y + 3*y to f*y**2 + t + a*y and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*p - 20 = 0, -2*p + 3 = 11. Which is bigger: q or -1\/610?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2187 - 2181. Solve -f*n + 16*n = -10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 3, 0.12, 4\/7, -0.6, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*-4*sqrt(125).\nAnswer: -80*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 2:14 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 6:36 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -117618, -7, 0 in decreasing order.\nAnswer: 0, -7, -117618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {w: 1, m: 2, z: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 5*s + 4. Let p be x(-3). Suppose 4*o - 25 = 2*n - p*n, 15 = 3*n + 4*o. Solve 7*j - 2*j = n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.3. Let n(j) = 0*j**2 + 40*j + 43*j - j**2 - 95*j - 29. Let q be n(-9). Which is the third biggest value? (a) -5 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -263\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425021.\nAnswer: 47, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29399955 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*k - 188, 3*m - 115 = k + 6. Suppose -32 = -3*w - 4*d, -3 = -4*w + 3*d + 48. What is the least common multiple of w and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y + 0*y + 6*y + 0*y - 7. Let w(k) = -6*k + 5*k + 43 - 19 - 9 - 14. Let o be 3\/(2*(-2)\/28). Determine o*w(h) - 3*v(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11212 is divided by 8583.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000843441123 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 77116 = 4*q - 77099, 2*q + 4*y = -14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 84*l - 483 - 127. Let p = -27 + 71. What is the least common multiple of p and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11408*-3\nAnswer: -34224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dozz when four letters picked without replacement from {o: 7, d: 4, z: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17)*-3 + -1 - (sqrt(17) + 3 + -1 + -5).\nAnswer: -4*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:52 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0 + 10. Suppose 3*l = -k*n + 267, 2*l - l = 3*n - 149. Let r be 0 - -2 - n\/(-3). Solve -3*x = 2*f + 16, 3*x - 4*f = f + r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 123 = -0*i + 2*o, -233*o - 201 = i - 236*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3912 and 269807706.\nAnswer: 1079230824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 16. Suppose -4 = -w + 1. Suppose -5 = w*t, 3*a + 4*t - 37 = o*t. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -19. Suppose q + f + 3 = 0. Suppose -27 = l + 3*y, 4*l = -2*y - y - 63. Sort l, q, 4 in ascending order.\nAnswer: l, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 21*j - 17. Let b be x(1). Let o(i) be the second derivative of -b*i - 1\/36*i**4 + 0*i**2 + 0 - 1\/18*i**3. Factor o(m).\nAnswer: -m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+35704.71\nAnswer: 35700.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:57 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 9*t - 11. Let k be v(10). Let l(u) = -62*u + 5. What is the tens digit of l(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14977517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160527043271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 64 = -39*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1900) - sqrt(38)\/(sqrt(4)\/sqrt(2)))*-1 - ((sqrt(19) + -1)*-3*4 + 4))**2.\nAnswer: -96*sqrt(19) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 11*v + 12. Let d be b(-9). Let x = 43 - d. What is the remainder when 23 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let a(g) = 2*g**3 + 4*g**2 + 1. Let f be a(-3). Let l = m - f. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111002222 (base 3) in base 9?\nAnswer: -44088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -1\/3 (c) 3171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k**2. Let n(g) = -15*g**2. Suppose 2*h = -4*l + 6, -19*h - 7 = -20*h - 3*l. Give h*n(u) - 7*o(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*a*o**5 + 2*a*o**3 - 25*a*o + 3*a - 3*o wrt o.\nAnswer: 460*a*o**3 + 12*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883687250 to the nearest integer?\nAnswer: 29727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + 8 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 6)*(-561)\/3.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5977*f = 1158036 - 458727 for f.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - t - 1094, -5*t - 1375 = -5*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {b: 2, f: 2, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**4\/2 - 2180*q**3\/3 + q**2 - 350*q - 4558. Find the second derivative of j(v) wrt v.\nAnswer: 12*v - 4360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75878 + -75875. Suppose -3*p = 3*u + 3, 2*p - 1 + 9 = u. Solve 11 = -5*j - 2*x, 2*x + u = j - c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -71.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {n: 1, l: 1, m: 2, p: 2, g: 1, q: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -2. Suppose 26*a - s*a**2 - 30 - 21*a**2 + 7*a**2 + 59*a = 0. Calculate a.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -799440 rounded to the nearest 10000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2) - (-18)\/6. Let p be (-99)\/(-27) + y\/(-3). What is the closest to -1 in p, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -553183 + 293347005?\nAnswer: 292793822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfzubbuuub. What is prob of sequence uf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 428\/5. Let m = -3.6 + -0.4. Which is the biggest value? (a) -1\/9 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b + 15. Let h be r(6). Does 8 divide -7 - h - 1*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 875388*u**2 + 39148?\nAnswer: 1750776*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 + 32*h - 264. Suppose -5*i + 86 = -4*l, l = -l + 2*i - 42. Let t be k(l). Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**6)\/v*v*v**(-6\/5))\/(v**4*v)**36 assuming v is positive.\nAnswer: v**(-866\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*l - l**4 + 30*l - 2 + 34*l + 7*l**3 in the form j*l**4 + v*l**3 + m*l + a*l**2 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738911430 to the power of 1\/3, to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 524 in 2\/5, 0.18, 0.829, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 5*y**2 - 3*y + 2. Let n be b(-2). Does 6 divide 408*7*n\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -20?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxmxmmrmrmxmmx. What is prob of sequence xmxm?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 10*b = 6 + 2, j = 2*b + 3 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k**2 - 11*k. Let a(f) = 5*f**2 - 4*f. Let p(u) = 11*a(u) - 4*m(u). Let r(i) = -26*i**2. Calculate r(p(o)).\nAnswer: -26*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - 1 - (-3 + 21\/3). Suppose -162 - 8 = l*p - 5*q, -3*p - 67 = 4*q. Put -1, p, -4, 4 in ascending order.\nAnswer: p, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24e261 + 82?\nAnswer: -24e1ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 98.000041. What is t rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 1\/20*x**5 + 0 + 1\/2*x**3 - x**2 + 2*x + 5\/12*x**4. Let t(y) = -y**3 + 3*y**2 + 29*y - 10. Let b be t(7). What is z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = 2499. Let j = u + 3959. Suppose 3600 - j = 4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = -5*s, 5*s = 3*x - 0*x + 26. Let v be (-2)\/15 - 8\/(-60). Suppose n - 5 = v, l = 6*l + 4*n - 20. Sort l, x, -5 in descending order.\nAnswer: l, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416884766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -145, 2\/15, 5, 2\/11?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:38 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6) + -1)\/(14\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-64))\/(-9 + 585\/60). What is the nearest to 0.2 in -0.2, 3\/4, o, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 + 273. Let b = -86 + 48. Let w = t + b. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.23?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 5*n + 18, 0 = 2*z - z + 3*n + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*r**6 + 613*r**4 - 2*r**2 - r + 700 wrt r?\nAnswer: 720*r**3 + 14712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/36*-114)\/(((-1056)\/64)\/(-33))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 4*s + 0*s)*(-11*s - 16 - 12*s + 22*s) to y*s + v*s**2 + q and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -9 in decreasing order.\nAnswer: 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 160. Suppose -u + 859 = 2*a, -4*u - 3*a = -v*a - 3436. What is u rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4654458 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 33 = -5*t, 5*s + 4*t = 32 - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 49*b**3 - 41*b**3 + 2*b**2.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3441*h = 4318*h + 47358 for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/78222 and -71\/8?\nAnswer: 312888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.06 and -0.09.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 1141011302?\nAnswer: -1141011307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*v - 2 + 6, -5*g - 14 = 2*v. Let q = 0.04 - 0.34. Suppose -c = -5*n + 3*n - 4, 3*n = 2*c - 5. What is the closest to -1 in g, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l**2 + 2. Let q be d(0). Suppose -n - 5 = -q*n. Factor -2*t**2 - 6*t**4 - t + 7*t**4 + 2*t**3 - t**n + 0*t**5 + 1.\nAnswer: -(t - 1)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = -6467 + 2387 + 2856 for j.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/5 - 138*b**4\/5 - 54*b**3 - 134*b**2\/5 = 0. What is b?\nAnswer: -67, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 846*c**6 - 1017*c**2?\nAnswer: 101520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from {v: 4, s: 1, g: 4, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*o - 249*o - 233*o - 14 + 739*o.\nAnswer: 5*o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/8)\/(z**(-8)*z*z)*(z**(1\/3))**(-46))**(-27\/2) assuming z is positive.\nAnswer: z**(2043\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01 or -2515104?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-5) + -13 + 11. Let j(g) be the third derivative of g**6\/120 - g**5\/15 + g**4\/24 - g**3\/2 + 3*g**2. Let c be j(4). Are t and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 75, 154, 213, 252, 271, 270?\n\"Answer: -10*v**2 + 109*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666537289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12433 - 12432. Let x(p) = 37*p**3 + 2*p**2 - 2. What is x(u)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 3. Let n = 2.8 + u. Let z be 12\/(-2)*((-195)\/(-10) + -7 + -13). Which is the fourth smallest value? (a) n (b) 0.6 (c) 1\/2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26862? (a) -0.2 (b) -0.8 (c) -0.4 (d) -4 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2992.7 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 k when three letters picked without replacement from ykywwwwywwyowwowwww?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 bigger than -2\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.2. Let i = -0.2 + 0.3. Which is the closest to i? (a) -0.1 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8491123?\nAnswer: 137, 61979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/51 and -111\/10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201560 is divided by 8001.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 134 = 2*z, 2*r = -r + 6. Which is the closest to -1? (a) -3 (b) z (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 18*m - 12076. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 5. Give u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 0*(-2)\/6. Solve 3*h = 5*k - 14, -b = 2*h - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {v: 1, z: 2, a: 1, q: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - s. Let o be l(-3). Factor -o*x**2 - 9*x**4 + 24*x**3 - 2*x**2 + 6*x**4 - 7*x**2.\nAnswer: -3*x**2*(x - 7)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -197, -418, -727, -1124?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60838, -121708, -182612, -243568, -304594, -365708, -426928?\n\"Answer: -3*u**3 + u**2 - 60852*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/63 + 2344\/18. Let z = n + -52. What are the prime factors of z?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 2*d**2 - 2*d**2 - 8*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/((-64)\/1176) + -1*2. Let p = 148 - l. What is the derivative of -3*x + 11*x - 8*x - 22 - 49*x**p wrt x?\nAnswer: -147*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9 - 2\/9*t**2 + 0*t.\nAnswer: -2*(t - 2)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h + g + 5, 5*h = -g - 5. Suppose 5*k - 8 = -2*y, -k - 5*y = -5*k - 20. Let n(q) = 2*q**3 + 0*q**3 - q**2 + k*q - 3*q**3 + q. Calculate n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23368 divided by 8\nAnswer: 2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*q + 77*q + 60. Let u be q\/18 + -2 + (-68)\/(-12). Solve -u*a = -2*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (70\/21)\/((-1)\/(-9946230)). Let j = g - 56654102. Let o be j\/(-5) - (-2)\/(-5). Round o to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f + 0*f)*(12*f - 8*f - 7*f)*(3*f + 0*f + 0*f).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 2, -0.07, -2, -9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y + 2*y + 6*y**2 - 518 + 507. Suppose -14 = 5*z + 11. Is o(z) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 45709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5486*m**2 + 306*m + 19. Let l(x) = 2742*x**2 + 152*x + 8. Let a(c) = 2*i(c) - 5*l(c). Factor a(w).\nAnswer: -2*(37*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*o + 59*o - 150*o + 6438. What is the remainder when 433 is divided by o?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*t + 14, -12 = -4*a + a + 2*t. Suppose -5*h = -3*x + 138, a*h + 90 = 2*x + 2. Solve 5*n + 2*j - j + 25 = 0, 4*n + x = -5*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14 from -179531.0703769.\nAnswer: -179531.2103769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/(-45) - 10\/15)*-210 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6*s - 5*w + 21, 3*w + 5 = 5*s. Suppose -4 = -u + 4*p, -u = s*p + 2 + 2. What is the nearest to 1 in u, -16, -5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 3. Suppose -3*t + 5 = 2. Is 17 - t - (-1 + m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 258. Let l be ((-4)\/(-3))\/((-36)\/h). What is the tens digit of (-5 - -8)*58\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1854)\/(-12))\/((-1)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/260 and -33\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20046*k**5 - k**3 + 150425*k**2?\nAnswer: -1202760*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 0.3 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23345, 46667, 69969, 93251, 116513, 139755, 162977?\nAnswer: 186179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*p + 315, -3*r + 2*p = -332 - 549. Calculate the remainder when 1228 is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 6*b - 102. What is the second derivative of -30*v + b*v + 8*v**5 + 0*v wrt v?\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojoogotooostoojj. Give prob of picking 1 t and 1 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2*315\/105?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114828082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, -3, 0.3, 138, 5, 0.1?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*m + 2*i, 3*m + 4*i - 163 = -0*i. Let j = m + -37. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72, -141, -206, -267, -324, -377?\n\"Answer: 2*k**2 - 75*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (11 - 13)) + -7 - (-1 + 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000613115 rounded to 7 dps?\nAnswer: -0.0000613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/1343? (a) 0 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {x: 3, c: 3, q: 9, o: 5}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2*(1 + -2). Let z = f + 5. Suppose -3*m - z*w + 3*w = -6, -2*m + 5*w - 9 = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/6, -2472, 2\/7, -0.009?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 9 = -2*h. Let d be ((-4)\/6)\/((-1)\/3). Suppose 12 = -4*z, 0*k - d*z = 4*k - 170. What is the greatest common factor of k and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*v - 80, -3*v + 120 = 3*d - 0*v. Let z = -38 + d. Is -2*z\/(12\/164) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -2. Let w = -0.5 - -4.5. Let s be 2\/(4\/(-70))*3\/(-21). Which is the second smallest value? (a) w (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5 - 9) + -7 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-9 - 8 - -65 - 10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwpwpwwzzuupu. What is prob of picking 1 p and 1 u?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -1 - (-5 + 5). Which is the third smallest value? (a) -0.4 (b) 4\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 14*n**2 - 218*n + 222. Calculate l(23).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 16 = -l. Suppose -211 = -l*d + o, 4*o + 272 = 3*d + 2*d. Let w = -32 + d. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 811*p - 1854. What is r(2)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 40135*k**3 - 40130*k**2.\nAnswer: -5*k**2*(k - 8026)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*d - 298*d = 8*j - 26, 4*j - 5*d = 34 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13134133.\nAnswer: 3331, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -220 + 222. Put x, -2\/3, 2\/5, 0.1 in descending order.\nAnswer: x, 2\/5, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g + 1\/20*g**5 - 5*g**2 + 0 + 0*g**3 - 1\/12*g**4. Find the second derivative of f(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h - 90. Suppose 0 = -4*j + 2 + h. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + -4 - (-2 + sqrt(108) - sqrt(108)))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6940 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 87. Let y(q) be the second derivative of q**5\/20 - q**4\/4 + 5*q**3\/6 - 5*q**2\/2 + q. What is the lowest common multiple of 1 and y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90904643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8070630 divided by -14159\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**8\/65520 + j**7\/32760 - j**6\/4680 + j**5\/60 - 9*j**2. Let a(l) be the third derivative of m(l). Factor a(r).\nAnswer: 2*(r + 1)*(2*r - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -21 (b) -5 (c) 0.4 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1198595258 to the nearest integer?\nAnswer: 34621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 972?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*d + 10730 + 6650 = 0. Solve 60*r - d*r - 5 = 5*j, -4*r - 11 = j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -407*k**7\/105 - k**4\/12 - 496*k**3\/3 + 4020*k**2. What is the derivative of y(g) wrt g?\nAnswer: -3256*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**7\/420 - y**6\/48 + y**5\/20 + y**4\/12 - 9*y**3 + 182. Let o(v) be the third derivative of a(v). Let o(f) = 0. What is f?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -434345, -434362, -434381, -434402?\n\"Answer: -v**2 - 14*v - 434330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -193.71219.\nAnswer: -193.51219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122302 + 45360?\nAnswer: -43612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16966 and -0.2.\nAnswer: -0.033932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207679?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671 = -1159*n + 1220*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*f = -406 + 1555, 1146 = k - 2*f. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -27*w + 204. Give u(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4338916 and 2.\nAnswer: 4338918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79213 divided by -2030.\nAnswer: 79213\/2030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1115185*p - 811024 with respect to p.\nAnswer: 1115185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 26 = -2*s, 8*k - 9*k - 18 = -2*s. Solve 4*u + w - s = u, -4*w = -u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3013312301230 + 121?\nAnswer: 3013312302011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-15)\/180)\/((-1)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 265819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 40*x + 4. Let p be f(-8). Let o be (p\/20 + 1)\/(6\/20). Suppose -2*a + 3*a = -3*i + 173, o*a - 718 = i. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/20)\/((-4)\/10). Let z = m - 5. Is z greater than 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + -2.02. Let n = -1.3 - -2.05. Let x = -0.85 + n. Which is the closest to x? (a) y (b) -0.5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255450 (base 8) to base 6.\nAnswer: -1523240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 - 49*x**2 + 193*x + 2. Let o be r(7). Calculate the greatest common factor of 46 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210202021002 (base 3) to base 10.\nAnswer: 2022437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -19*f**3 + f**2 - 7*f - 59. Is t(-4) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/6 - 9\/27. Let d = -106 + 61. Let l = -10 - d. What is the greatest common factor of n and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t + 692233 = -116179. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 78 = l + 1282, -l - 1021 = -3*j. Suppose -444 - j = -9*d. List the prime factors of d.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -251, -258, -265, -272, -279?\n\"Answer: -7*r - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:10 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845a (base 14) in base 11?\nAnswer: 94803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39687.69 grams in milligrams?\nAnswer: 39687690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -20*h - h. Sort h, 0, 12, 5.\nAnswer: 0, h, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100001111011010110 (base 2) in base 8?\nAnswer: -5417326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (16 - (16 - 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1926 divided by 41\nAnswer: 1926\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/20 + 38\/(-95) - 4\/(-5)*1\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6629\/10 <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180420836.\nAnswer: 2, 45105209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59749 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-28)\/104)\/7). Suppose 0*r + y = r. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 29*y**2 - 52*y - 105. Give i(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 5*t - 1869990, 0 = -5*u - 2*t - 9349996. What is u rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2 - u**2 + 15*u**3 - 12*u**3 + 2*u**2. Calculate the remainder when a(2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3418 * -53.\nAnswer: -230.1154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 46 = 3*d, -32 = -b + 6*d - 3*d. What is the remainder when 49 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-21)*g**14)\/(g*g*g*g**15*g)**(-18) assuming g is positive.\nAnswer: g**337","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 403192 (base 11) in base 9?\nAnswer: 1187415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*y**2 - 79*y**2 + 51*y**2 + (2*y - 6*y + 2*y)*(2 - 2 + 2*y) + 1 - 1 - y**2 to g + c*y**2 + j*y and give c.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/(-195))\/(1\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-4)\/16)\/(3\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + n = 132, 4*i + 3*n - 224 = -i. Suppose 2*g = -2*g + 176. Let c = g - i. Solve 4*z - 3*z = -c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -138. Suppose 2*n - q - 353 = -4*t, -2*t + 5*n + 259 = 0. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*v + 1425 + 825 + 162 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-18\/13))\/y)**38)**25 assuming y is positive.\nAnswer: y**(-17100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (117 - (-4 - -2)) + -1. Let t(v) = -v - 11. Let a be t(-11). Suppose 3*i - 5*i + 4 = a, 5*h - i = l. Solve 3*b + b - k = -14, 2*k = -5*b - h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 9. Give x(18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 + 7670*w**3 + 22024117*w**2 + 28060280820*w + 13384227134916 = 0. Calculate w.\nAnswer: -2053, -1782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:11 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*p - 65 = 2, p = 1. Let j be 60\/c + 1\/4. Find the second derivative of j + w**4 - 4 + w wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 14 = -0*x - 2*d, 5*x - 21 = -d. Suppose -3*y + 58 = 10. Let o = -12 + y. Calculate the smallest common multiple of o and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120011210 + -101?\nAnswer: -2120012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 604 + -1249\/2. Let d = s - -102\/5. Put 0, d, 5 in descending order.\nAnswer: 5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x + 100. Let k be -2 - -4 - (x - 0). Let j = k - 15. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141252*x**6 - 436*x**4 - 2099143*x**2 - 11 wrt x.\nAnswer: -16950240*x**3 - 10464*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 3951\/616?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 8*t**2 + 13*t + 3. Let y be g(-6). Let k be -49998 - (y + 2 + 3). What is k rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -1040343?\nAnswer: -17\/1040343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184625 is divided by 92312.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3231*g**2 + 3239*g**2 - 6481*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {t: 3, i: 1, g: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4196165 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a - 104 = 0. Let f be a\/(-14) + (-2)\/(-14). Let i(p) = p**3 + 3*p - 3. Calculate i(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (20 + -48)) + 0 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13054*s**2 - 39132*s**2 + 13054*s**2 + 13035*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(45) - (2*sqrt(270))\/sqrt(6)))\/((sqrt(72) + -2*(sqrt(72) + 2*sqrt(72)) + sqrt(72))\/sqrt(8)) + -3.\nAnswer: -3 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 40 = 0. Suppose -4*n + r*n + 72 = 4*h, -4*n + 18 = h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -2.9854?\nAnswer: 4.9854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -3, -4, 9, 42?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + h - 45 = 0, 0*o - 3*o = 4*h - 132. Let u be 29 + -1 - (-43 - -39). Calculate the highest common factor of u and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 738320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811537410 to the power of 1\/2, to the nearest integer?\nAnswer: 42562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*a + 73*a - 6448584. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*s, -3*h = -5*s - 12 + 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4451*k**2 - 1058992*k - 1773*k**2 + 1070425*k wrt k.\nAnswer: 5356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9847 and 78.324.\nAnswer: 771256.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*o**2 + 5*o**4 - 120 + 0*o - 105*o**4 + 54*o**3 + 92*o**2 - 35*o**5 - 9*o**3 - 20*o = 0. What is o?\nAnswer: -2, -6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*j = 32, -35*j - 58 = -5*d - 36*j. Solve -d*o - 14 = 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -1\/20*q**5 - 5\/6*q**3 + 0*q**2 + 2*q + 0 - 1\/2*q**4. Let k be n(-5). Is 5 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 3*z**5 + z**4\/6 + 3*z**2 - 41*z. Find the third derivative of j(p) wrt p.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 188.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b - 845 = -55*b. Let g = 190 - b. What is the remainder when 292 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10*x - 5 to the form u + k*x and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14796 by -1.\nAnswer: -14796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642997674?\nAnswer: 2, 4129, 320053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35783*h**3 - 412657*h wrt h.\nAnswer: -214698*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 - 3*b**2 + b - 2. Let f be m(2). Suppose 29 = -2*u - 5*i, 2*u - 2*i = -f - 10. Let v = u + 19. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5) - 822\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-3)*(-4)\/6. Let d = 179 + -8. Suppose -v*j + d = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/6 + -5)*8\/(-3). Solve 17*u - t*u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 367322 or 367323?\nAnswer: 367323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11111211201 (base 3) to base 4\nAnswer: -111223312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*f = -126*f - 744. Let p = 130 + f. What is the remainder when 11 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -8*w + 46. Suppose 2*d + 21 = 3*p, -p = w*p + 4*d - 35. Suppose -8*o = -p*o + 4300. What is o rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -24*d + 144. Let q be u(6). Suppose q = -4*l + 8 + 56. What is the lowest common multiple of l and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -6?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7068 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89025 - -13.\nAnswer: 89038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 12*u - 1020 = 0. Suppose 0 = -3*m + u - 198. Let o(q) = -q**3 - q**2 + q + 2. Let y be o(0). Solve -y*g = -0*g + 3*t - 14, -3*t = -g - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187547780?\nAnswer: 2, 5, 7, 1339627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-7))\/3 - 48520\/(-140) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -16460 - 17042. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57828 divided by -1608\nAnswer: 4819\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/56 and 81\/16730.\nAnswer: 66920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 36. Let r be q(7). Let j(t) = 3*t**3 - 7*t + 8. Let b(v) = -v + 1. What is r*j(a) - 6*b(a)?\nAnswer: 3*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60606*z - 60543*z - 36*z**2 + 121151*z.\nAnswer: -36*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 1, i: 2, f: 1, h: 3, g: 2}. Give prob of sequence hhjg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3292 to 2 dps.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25730 is divided by 353.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 73*o + 300 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3\/3 - 13*p**2\/2 + 9*p - 4. Let b be z(13). Solve -i + 4*i = -b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 18. Let w(d) be the second derivative of 7*d**3 + 3*d**2\/2 - 44*d. What are the prime factors of w(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/73 in 2, 0.1, 27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let c be 2*3\/12*96. Suppose 2*u = -2*u + c. Solve 3*b + u = -k*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*6\/(-66) - 2\/(-11). Let y(u) be the second derivative of n + 0*u**2 + 1\/6*u**4 + 0*u**3 + u. Let d(x) = -2*x. Calculate d(y(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4 - 160*w**3\/9 + 2*w**2 + 160*w\/3 - 1748. Solve v(z) = 0.\nAnswer: -40\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -248 + -210. Let s = -326.5 - g. Round s to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.12, 5, -0.1, -0.107683, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 + -172 + (4 - 1) + -42?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 5*y + 9. Let j be l(7). Let i be 2\/j + (-4)\/(-10). Solve 15 = 3*k, i*k - 8 = -3*d - k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -187.25 and 1.8.\nAnswer: -337.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p + 199303 + 282400 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2. Let h(z) be the second derivative of 0*z**2 - 3*z + 2\/3*z**3 + 2. Give h(p(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times 4009?\nAnswer: 248558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 366.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 divided by -3?\nAnswer: 275\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let l(s) = 9*s**2 - 4*s. Let w(g) = -l(g) + 2*z(g). Let t(n) be the first derivative of n**2\/2 - 20. Determine t(w(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*p - 2. Suppose p*y = -2*h + 22, 4*h = 2*y - 3*y + 5. Differentiate 5*g**4 - y + 3 + 8 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - ((1 - 4) + 32 + -33)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 6, v: 1, y: 11}. What is prob of picking 3 s and 1 y?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.56349.\nAnswer: -1.12698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593274 is divided by 3859?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4211*c**2 + 21048*c - 71. Calculate o(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 + 195*z + 520. Give h(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.63 - 5.09. Let m = t + 0.72. Which is the closest to 0.2? (a) m (b) 2\/17 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58096 + 4?\nAnswer: -58092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5392 or 5384?\nAnswer: 5392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -18, 5, 47, 4.\nAnswer: -18, -6, 4, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593385764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -35 + 20 - 22.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116, 112, 110, 110, 112, 116, 122?\n\"Answer: t**2 - 7*t + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/5)\/((-8)\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 22.4?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 122124079.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c - 7. Let a(t) = -18*t - 15. Suppose -6 = -5*v - 31. Let o(l) = v*q(l) + 2*a(l). Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m + 6. Let i be z(6). What is the units digit of (i\/(-3))\/(-1) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 451256*g - 1280101.\nAnswer: 451256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/3))\/j)\/j**(-2) assuming j is positive.\nAnswer: j**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10504 divided by 2626.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 25. Let a = 75 + q. Calculate the greatest common divisor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 168 + 5296\/3*u + 7252*u**3 + 6188*u**2 + 343\/6*u**4.\nAnswer: (u + 126)*(7*u + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*s + 40*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11879 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.5, -36\/13, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 981125.4ns in seconds?\nAnswer: 0.0009811254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 774 = 70*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 67 = m, 14*m - 54 = 12*m - 3*t - 153 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -13674?\nAnswer: 2734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002538047 to the power of 1\/3, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 k, and 1 j when three letters picked without replacement from {c: 5, a: 5, w: 3, k: 1, j: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5669*g + 739855657 - 739855657.\nAnswer: 5669*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 14383961.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -40. Let i = 14 + p. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3360000 divided by 84\nAnswer: -40000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42777541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 4, -93, -4 in ascending order.\nAnswer: -93, -5, -4, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 38 = -2*n, 28*n + 12 = 25*n + 3*y. Let k(d) = -d - 51. Determine k(n).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (1 + (-2 - -4))) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*n = 9 + 1, -4*n = 3*s - 22. Let a(i) = 3*i + 1. Let h be a(-2). Let o(x) = -x - 1. What is the remainder when o(h) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00166502 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3085, -3091, -3099, -3109, -3121?\nAnswer: -3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16468, 32932, 49398, 65866, 82336?\n\"Answer: y**2 + 16461*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.3 + 8. Let v = 1287 + -1291. Which is the smallest value? (a) -0.7 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**9\/504 - g**7\/210 - 169*g**5\/60 + 106*g**2. What is the third derivative of t(k) wrt k?\nAnswer: -120*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85935 is divided by 7157?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 5 = 26 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, 1281, 2, -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + r**2 + r. Let l(o) be the third derivative of o**6\/120 - o**5\/30 - o**4\/6 + o**3\/3 + 4*o**2. Let x be l(3). Give w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 22*u**2 + u + 29. Let n = 3224 + -3246. Determine i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from mmmmmmmummmmmmmmmmmu.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328507058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**3*i*i**(-2))\/((i\/(((i**(2\/17)\/i*i)\/i)\/i))\/(i\/(i\/i**(-1\/4))*i))*((i**(4\/3)*i)\/(i**(-2)\/i))\/((i*i\/i**(-1))\/i*i)**20 assuming i is positive.\nAnswer: i**(-10771\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5783, -395, -18531, -48625, -90677, -144687, -210655?\nAnswer: -288581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5, 2*k - 30 = -0*k - 4*u. Suppose 0 = 2*j - 1 - k. Let q be 4 - 1 - j - -2. Solve 5*o - 10 = 2*y - 3*y, -22 = -4*o + q*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336 - 125 - 16 + 247 - 3*i + 342 to m*i + a and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eey when three letters picked without replacement from ccycecceccccececyce?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 166, 407, 750, 1195?\n\"Answer: 51*o**2 - 14*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:12 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*m + 3146 + 437 = -1927 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**2 - 4*b + 3. Let a(u) = -u + 1. What is -3*a(j) + s(j)?\nAnswer: -5*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 - 0) + ((-42007)\/4732 - -12) and 107\/260.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:42 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4312*h + 2523*h + 5847*h + 260*h.\nAnswer: 12942*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2868, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c7 (base 13) to base 11.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(1216)*2.\nAnswer: 1 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*i*y**2 + 99061*i - 2*y**3 - 298*y wrt y?\nAnswer: 28*i*y - 6*y**2 - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - o + 3*o - 0*o - 16, 13*o = -12*o + 30*o - 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*z + 16, 4*m + 1 + 9 = -3*z. Suppose -5*b = -6*b, z*j - 3*b = 10. Solve 0 = -u + 3*u - j*k - 33, 4*u - 21 = k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 6. Let j be (2 - (-80)\/(-12))*-3. Let t be (-36)\/(-14) - (-6)\/j. Let k(b) = 7 - 4*b**2 - t*b + 3*b. What is 7*a(s) - 6*k(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -453 or -456?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90\/(-18) - ((-776)\/114 + 0). Let t = -9\/19 + n. Factor 2\/3 + 2\/3*u**2 - t*u.\nAnswer: 2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 8 = x. Let y = 11 - x. Calculate the greatest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3995612479 and 0.\nAnswer: 3995612479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - p - 1. Let t(k) = -2*k**3 + 3*k**2 + 10*k + 5. Let o(x) = 3*s(x) + t(x). Let j be 5*((-120)\/(-8) + -16). Calculate o(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2314164 smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 6) to base 10\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06435 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and -4 - (-9 - (6 - 3)).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 = -4*m + 15, -3*v = 2*m - 12. Is m at most 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 k when three letters picked without replacement from ooooogrgkdddgbogob?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.052 + -0.051. Let h = o + -24.601. Let g = -24.59767 - h. What is g rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = o, 2*o - 2*w = -1 + 9. Let r(k) = 1 - 4*k**3 + 3*k**3 + 33*k**o - 30*k**2. Let g(a) = -a + 1. Let v be g(-1). Calculate r(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11\/4*p**2 - 1\/4*p**5 + 9\/4*p**3 + 1\/4*p**4 + p + 0 = 0. What is p?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308242 divided by 120\nAnswer: -154121\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 46 = -196. Suppose -a = n*a - 64. Suppose a*d = -4*y + 24, -2*y + 33 = -d + 9. What is the lowest common multiple of y and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27))**2*-1*-4 + (sqrt(2160) + sqrt(2160)*-1)\/sqrt(5).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 429.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/30 and 64\/2980665?\nAnswer: 5961330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -226 - -224. Which is the third smallest value? (a) -0.2 (b) -1.9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 20*a**2 + 36*a + 14. Determine s(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1084589\/339364 - 4\/(-74)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288) + 0 + sqrt(288) + sqrt(288) + sqrt(288))*2 + -5 + 0 + sqrt(288))**2.\nAnswer: -1200*sqrt(2) + 28825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -147360 plus 4?\nAnswer: -147356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -500.8 - -502.8. Sort 3, 38, s in increasing order.\nAnswer: s, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1330?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1563453894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3837*a**2*c**2*x - 5*a**2*c**2 - 12*a**2*c*x + 2*a**2*c + 5481*x wrt c?\nAnswer: -7674*a**2*x - 10*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 721 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36953 - 135463 = 2*s. Let j = -20255 - s. Round j to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45552\/5 + -9167. Let o = p - -57. Factor 0 - o*f**4 - 2\/5*f + 2\/5*f**3 + 2\/5*f**2.\nAnswer: -2*f*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**2 + 73. Let l(c) = 35*c. What is l(g(v))?\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 14*u. Let o be h(0). Suppose o = 6*t - 407 - 3283. List the prime factors of t.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d + 61. Calculate u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 8*m**3 + 80*m**2\/3 + 74*m\/9 + 2\/3 = 0.\nAnswer: -3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 66*b - 316. Let k be d(5). Suppose 84414 = k*m - 111405. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -0.1.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 641, 1280, 1919, 2558, 3197, 3836?\n\"Answer: 639*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -26*m + 239 + 69 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*n**2 + 377*n**2 + 0*n + 638*n**3 - 2*n.\nAnswer: 638*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -54 + 4*x**2 + 2*x**4 - 161*x + 6 + 121*x + 10*x**3 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Which is the second biggest value? (a) 5 (b) 0.4 (c) t (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 + 19*i + 48973. Is u(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {m: 4, y: 10, f: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 1081 + -964. Calculate the lowest common multiple of w and 2.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39533671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 99*u**2 + 866*u - 9. Let b(y) = 111*y**2 + 867*y - 10. What is 8*b(t) - 9*q(t)?\nAnswer: -3*t**2 - 858*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 810 + -811. Let l be (4 + x)*-1 - (-539)\/77. Solve c + c - 5*w = -17, -l*c = 2*w - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.187 - -0.089. Let s = 18.976 - l. Let x = 20.61 - s. What is x rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -3, -22, -49, -84, -127?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/9)*j**(-2\/121)*(j*j**(-3\/35))**35 assuming j is positive.\nAnswer: j**(34588\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9127316 = 157*z - 4540790. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-72)*12*1\/(-9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*u**3 - 144*u**2 + 144*u**2)*(1 - 1 + 2) + (0*u - u + 0*u)*((2*u - 4*u + u)*(6*u - 4*u - 4*u) - 13*u**2 + 0*u**2 + 6*u**2).\nAnswer: 71*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -171457.\nAnswer: 1\/15587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0478 - 1.0478. What is the fourth biggest value in -5\/7, s, -5, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - (90 - (85 - -36))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93 + -108852?\nAnswer: -10876a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + d + 2. Suppose -3 + 39 = 8*l + 4*b, 0 = -l - 4*b + 8. Let h(q) = -4 - 3*q - 2*q**2 + 1 + q. Give l*v(z) + 3*h(z).\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -21*k + 111. Calculate the lowest common multiple of 217 and k.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**2 + 466*v - 115. Let a be f(58). Which is greater: 23\/120 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -18. Suppose 0 = 26*a + 6805 - 7273. Calculate the lowest common multiple of u and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658 = -39*z + 151 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27 times -19939584\nAnswer: -538368768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 5778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-3025)*165\/(-45)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 + -87. Let t = q + -69. Suppose 0 = -4*i + t*i - 312. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -21*j**2. Suppose 5*t + 2*r + 391 = 0, 4*r = -3*t - 75 - 168. Let o = 106 + t. Let d(m) = 15*m + 12*m - o*m. What is d(z(k))?\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3\/5 + 5484*h**2\/5 + 1253094*h\/5.\nAnswer: 6*h*(h + 457)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650629513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089193 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) 5 (c) 0.4 (d) 0 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(847))**2*-5*6.\nAnswer: 76230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 254 - 6. Let g = 88 + d. Suppose -2*b = n - 51, -2*n = b - 9 - 12. Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - (-1071)\/81. Suppose 2*n + 2*g - h = g, 3*g + 15 = 3*n. Suppose 0 = 9*w - n*w - 99. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862230 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 48*k - 2. Let x(c) = -46*c + 2. Calculate 3*x(t) + 2*z(t).\nAnswer: -42*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 5. Let t(n) = 7*n + 14. What is 8*d(l) - 3*t(l)?\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h**2 + 0*h + 12*h**2 + 0*h as j*h + o*h**2 + p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v. Let n(t) = t. Let s(p) = h(p) + 4*n(p). Let j(l) = -332*l**2 + 664*l**2 + 58*l - 26*l - 336*l**2 - 32*l. What is j(s(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031 and 54?\nAnswer: 1.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -3*h - t, 0 = -4*h - t + 6. Suppose -h*q + 3*q = 11. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 (base 7) in base 6?\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*6\/3)\/(16\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3685, 7616, 11553, 15496, 19445, 23400?\n\"Answer: 3*l**2 + 3922*l - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5425436.\nAnswer: 2, 29, 46771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 123, -21 in decreasing order.\nAnswer: 123, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17628718.\nAnswer: 2, 23, 409, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from zzhnzzxnx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*t = -57, -5*t - 75 = -4*y - 22. What is the remainder when 57 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -14*r**2 + 65\/2*r + 2*r**3 - 25 = 0.\nAnswer: 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 smaller than 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -813510 divided by -6?\nAnswer: 135585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11407273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(5 + -6)*(-5)\/4. Calculate the remainder when 9 is divided by 2 + -4 + (-3 - (-3 - u)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47988 + 289*j + 47991 + 47997 - 143976.\nAnswer: 289*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:11 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298434346*l**4 - 3242*l**2 + 8*l - 1201.\nAnswer: -7162424304*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, 2\/11, -4, -1\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/17*m**3 - 2\/17*m**2 + 2\/17*m + 2\/17 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, z: 9, p: 1, q: 3}. Give prob of picking 1 p and 3 t.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -405*a**2*x**2 - 213*a*x**2 wrt a?\nAnswer: -810*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 53. Suppose 0 = i - 0 + 22. Let u = i + h. What is the remainder when u is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t, -2*m + 4*m + 4*t = 36. Suppose 4*w + m - 116 = -4*u, -75 = -3*w + 3*u. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 1, k: 1, a: 1, r: 2, p: 1}. Give prob of sequence rp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620136 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 - 3220*q**3 + 391190*q**2 - 1522700*q + 1134735 = 0. What is q?\nAnswer: -749, 1, 3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) + 10\/(-4). Let h(x) = -5*x**2 - 3*x + 2. Let i(c) = -4*c**2 - 2*c + 2. Let p(l) = 3*h(l) - 4*i(l). What is the units digit of p(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5821904.\nAnswer: 2, 11, 19, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.6 (c) 0.07 (d) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/237573 and -97\/15084?\nAnswer: 950292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 5. Suppose -5*k + 2 = -p, k + z = 3*p - 7. Let h(u) = 5*u - 1. Let t(x) = x. Suppose 16*s - 7 = -23. Determine p*t(c) + s*h(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 10, -48 + 23 = -5*u - 3*c. Solve v - 4 = -q, -u*v + 9 = -7*v - 4*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/5*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/9 - 2\/9. Suppose r - n*r = 6. What is the tens digit of r\/(-3) + 340\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -61757 - 1?\nAnswer: -61758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -31. Suppose n = k, -n + 19 = 5*x + 2*n. Solve -q = -x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191100795 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 2*b**3 + b + (4*b + 0*b - 2*b)*(-b**2 + 2*b**2 - 3*b**2) - 4*b**3 + b**3 + b**3 + (-2*b + 6*b - 2*b)*(-3*b + 3*b - 2*b**2).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/(-12 - 1065\/(-90))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113874866 + 5?\nAnswer: 113874872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:23 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = 45*d + 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - m**2)*(-m + 0*m + 0*m) - 6*m**3 + m**3 - 12*m**3 - 390*m**3 - 387*m**3 + 696*m**3.\nAnswer: -97*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2449 - -2460. What is the least common multiple of 15 and h?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 + 26*s**3 - 68*s**2 - 1160*s + 1200 = 0. What is s?\nAnswer: -10, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + cd6c?\nAnswer: cd73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7532, 15042, 22552?\nAnswer: 30062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i = 5. Let h = -33\/4 - -8. Which is the fourth smallest value? (a) h (b) i (c) -1\/2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 1020?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2050.04 * 0.8\nAnswer: 1640.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -801436, -1602873, -2404310, -3205747, -4007184, -4808621?\n\"Answer: -801437*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -15.1. What is the closest to w in -0.4, 0.1, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*y - 7*y - 6*y)*(y**2 + y**2 + 0*y**2) + (-y - 2 + 2)*(5*y**2 + y**2 - 4*y**2) to the form s + c*y**2 + q*y + l*y**3 and give l.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042250 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.166 - 0.402. Let t = -0.068 - v. What is the biggest value in -0.01, 2, -2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2570 and 17\/32720.\nAnswer: 8409040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 37*a - 32*a + 11, -5*a = 10. Which is greater: v or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.42 - -14.42. Let g = p - 17. What is the third biggest value in g, 2, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, x: 5, w: 3}. What is prob of picking 3 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (24 + 6)*780\/36 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a**(1\/4))**(1\/6)\/((a\/a**7*a)\/(a\/(((a**(-6)\/a)\/a)\/a*a)))**22 assuming a is positive.\nAnswer: a**(7415\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 9:36 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*(-10 + 2 - -5). What are the prime factors of 3 + (-209)\/(g + 0) + 0?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10377668.\nAnswer: 2, 7, 370631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10042 - 200791\/20. Find the common denominator of p and 59\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/18 + ((-8720)\/(-36) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/56 in -6, 0.2, 2\/3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. What is a(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 283*g**2 - 2*g - 199*g**2.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/210 and -11\/805.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -78*h - 15. Let q(w) = 14*w + 3. Let o(s) = 2*c(s) + 11*q(s). Determine o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j**2 + 126*j**2 - 11*j**3 - 5*j**3 - 75*j**2.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -88*n - 21. Let j(b) = -87*b - 22. Let q(u) = 5*j(u) - 6*o(u). Is q(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/408 and -71\/408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-10))\/((12\/15)\/(-2)). Suppose -10*v + 6*v = -8. Solve v*s + j = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1128027914 to the nearest integer?\nAnswer: 33586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 1 - 43 = 0. Suppose 95 = z*g - 33. What is the highest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 6 + 8 + 3 + 2*r**2 - 13 + 6*r**3 + 13 + 2*r**3 - 4 + 4 + (-r**2 + 0*r**2 + 0*r**2)*(4*r + 0*r - 5*r) - 2*r**3 - 3*r**2 + 3*r**2.\nAnswer: 9*r**3 + 2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 2*w**2 - w. Let n be q(1). Let r(g) = -62*g - 3346 + 65*g + 3*g**2 + 3343. Give r(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83 and 63?\nAnswer: 5229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(320) + 1 + sqrt(320)*-5)**2.\nAnswer: -64*sqrt(5) + 5122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:09 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*d + 115 - 451 = -680*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 4*v - 9. Does 5 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, -26, -145, -386, -791, -1402?\n\"Answer: -7*u**3 + 2*u**2 + 4*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bffuuuubbbbfbfbfff. Give prob of picking 3 b.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = n - 294, -2*u = 4*n - 1146 - 60. Suppose -40 = -7*j + n. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-5)\/(-10)*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 3. Let r be a(3). Let x = 29 - r. What is the lowest common multiple of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2953059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 2036 - 316 = 167*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14*c - 18. Let z be u(5). Let a = z - -89. Let i(d) = 12*d**3 - 2*d**2 + d. What is i(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*i + 10 = 95*i. Let n(h) = 5*h**2 - 7*h - 7. What is n(i)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 7:50 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2808.899967331 + 2808.9. What is y rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/825)\/(22\/10)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6 (b) 0.3 (c) -1.095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12085777.\nAnswer: 11, 1098707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 4*z**3 - 4*z**3)*(z - 3 + 3) + (z - z + 2*z)*(-3*z**3 + z**3 + 3*z**3).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 = -28. Let q be -2 + (-18)\/33*k. What is the second biggest value in q, 2, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 380) + 18 + -14. Let a be 6\/(96\/g)*-2. What is the highest common divisor of a and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**3 - 1347*l**2 - 604803*l - 355. Find x such that z(x) = 0.\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 57884428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-5)\/(-10))\/((-9)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12829*c**2 + 12807*c**2 - 967*c**3 + 5438*c**3.\nAnswer: 4471*c**3 - 22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4) + -2 + (-18)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -4, 2 in decreasing order.\nAnswer: 108, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + 4.1. Let b = 7 - l. Let z = 0.3 - 0.8. Put 3\/4, b, z in descending order.\nAnswer: b, 3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -2*v - v. Let z = v + -42. Let k = -0.1 + 0.06. Which is the closest to z? (a) 1 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 617573.\nAnswer: 31\/617573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769702401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/15 - a**2. Suppose -5 + 11 = 3*o. Let w(l) = -35*l**2 + 65*l**o - 28*l**2. Calculate w(i(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**3\/6 + 5*l**2\/2 + 15*l. Let f be s(-1). What is the third derivative of 7*i**4 + 33*i**2 - 3*i**3 - i**3 + f*i**3 wrt i?\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-42))\/((-30)\/420).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 570*p**3 + 4*p**2 - 4*p + 3. Let o be k(1). What is the first derivative of 31 + 32 + a**3 - o*a**2 + 630*a**2 wrt a?\nAnswer: 3*a**2 + 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:57 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.59 + 16.59. Put 5, f, 6\/29 in increasing order.\nAnswer: 6\/29, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -442*i + 4. Let j be r(0). Solve 22 = -j*q - 2*o, -8*q + 9*q = -2*o - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3*y + 45*j**2*y**3 - 120*y**3 + y wrt j.\nAnswer: -6*j**2*y + 90*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8480 by 10.\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3003 - -214?\nAnswer: a3217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z*((z\/(z\/(z\/(z*z**(-22)))))\/z)\/z)\/(z\/(z*((z*z\/(z\/z**13*z))\/z*z)\/z)*z*z\/(z\/z**2)) assuming z is positive.\nAnswer: z**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 5*d**4 - 2*d**4)*(94 + 36 + 40)*(-2 + 2 + 1).\nAnswer: 340*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*p - 8, 2*i = -3*p - 2*p - 8. Let y(a) = -5*a**3 + a. Let d be y(i). Let x(h) = h**2 + 4*h + 3. Determine x(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5 - 203928*u**4 - 2596919476*u**3 + 57240565200*u**2 + 122271073136*u + 62433792384 = 0. What is u?\nAnswer: -25502, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2 - (1 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -5, -0.2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -2310300325?\nAnswer: -2310300326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20924198 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:25 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**4\/24 + 3*d**2. Let k(f) = 169*f - 36. Let i(n) = -19*n + 4. Let c(s) = -18*i(s) - 2*k(s). Give c(h(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158867*s*z**2 + 341*s*z - s - 160*z wrt z?\nAnswer: 317734*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2974.\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -183, -192, -205, -222?\n\"Answer: -2*m**2 - 3*m - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2320*a**2 + 7*a + 130857 wrt a?\nAnswer: -4640*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*p = 150*p + 3*d - 18, -d + 26 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -24.\nAnswer: -35\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-6)\/((sqrt(144)*-2)\/sqrt(12)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2332 - 3?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 n when three letters picked without replacement from {t: 2, r: 1, z: 1, q: 2, j: 2, n: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-2 + 0 + 0)*(-28*k**4 - 717 + 717) - 2*k + 2*k**4 + 2*k.\nAnswer: -110*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -31. Put 5, o, -18 in ascending order.\nAnswer: -18, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1415*z**2 - 15*z - 1.\nAnswer: -2830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.1 + -10.1. Which is bigger: z or -51?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5847 (base 9) to base 8.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 16*z + 109. Does 12 divide n(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -47, -1.\nAnswer: -47, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302904514?\nAnswer: 2, 17, 38320721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 22*n + 50. What is d(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 4. Let o be x(6). Let w = 5 + o. Let p = -2.8 - -3. Which is the closest to w? (a) 0.4 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*m + 22, 5 = i - 2*m + 3*m. Let z be (-3 + 0)*(-8)\/i. Suppose 0 = 4*k - z - 68. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4 - (-7 + 20)) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -610, -608, -600, -586, -566, -540, -508?\n\"Answer: 3*y**2 - 7*y - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -64.528 (c) 1\/9 (d) -5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(539)) - (sqrt(44)\/sqrt(64) + sqrt(11))**2*-1) + 3.\nAnswer: 355\/16 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.36, -0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**5\/20 - 5*t**4\/12 - 2*t**3\/3 - 5*t**2\/2 + 2*t. Let a be y(-4). Let p = -61 + 57. Sort p, -0.4, a.\nAnswer: a, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 60 = 0. Let l(a) = -3*a**3 - 3*a**2 + 5. Calculate the remainder when l(-3) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -53131*n + 106396. What is f(2)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 529716 and 660?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 21*x**2 - 24*x - 23. Suppose 0*c + 42 = -2*u - c, 4*u + c + 86 = 0. Let i be b(u). Suppose -18*a - 261 = -i*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bad684 (base 14) to base 9.\nAnswer: -12827880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (630\/(-9))\/5*(-21)\/6 and 28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 21?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32396137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10999 (b) 0.5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12838 less than 31194778060?\nAnswer: 31194790898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -333.153 rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 5, -2, -21, -58, -119, -210, -337?\n\"Answer: -y**3 + 3*y**2 - 3*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -483560576 rounded to the nearest one hundred thousand?\nAnswer: -483600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 8 + 8)*(4*v - 2*v - v) + (5 - 2*v - 5 + (5*v + 3 - 3)*(1 - 4 + 0) + v - v + 2*v)*(0*v**2 - 2*v**2 + 0*v**2).\nAnswer: 33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 13 = k, 0 = -d + 84*k - 79*k + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10)\/sqrt(2)))\/((sqrt(80)\/sqrt(4))\/sqrt(10)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 0.054651 (c) 0 (d) 7 (e) 2\/9 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111 (base 2) to base 6.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*n = -3, -3*n = u + 3 - 4. Suppose u*f - 3*f - 1 = 0. Suppose 4*l - 20 = -5*z - 6, 0 = 3*l - 2*z + f. Is l not equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + w + 1. Let l be d(-1). Suppose -l*z - 41 = -149. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -4)\/(0 - -1). Let w = q + 4. Suppose 2*j = 4*n + n - 74, -w*j = n - 6. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*t**2 + 5*k + 32*t**2 + 1 wrt t.\nAnswer: -2*k*t + 64*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*6*((sqrt(14) - sqrt(378)\/sqrt(3))\/(sqrt(18)*-4 - sqrt(18)))**2 + 2).\nAnswer: 38\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1157 = 4*g, -3*q - g + 1169 = -0*g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55263 and 85674?\nAnswer: 14478906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 8*a**2 - 8*a + 12. Suppose -4*f + 20 + 16 = 0. Let c be n(f). Let o = -103 - -292. Calculate the highest common divisor of c and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*w - 9, 5*s = -w - 4*w + 20. Let m(b) = 93*b**3 + 3*b**2 - 2 + s*b - 86*b**3 - 4*b**2. What are the prime factors of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1836 and -61\/12.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.48 - 690?\nAnswer: -693.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -279 + 0?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29856385 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-40)*8)\/((-2)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + c - 5 = -3*a, 4*c = -a - 2. Suppose -6*u + 5*u - 108 = 0. Let t be (-24)\/u + (-25)\/(-9). Solve 0 = 3*h, a*h = t*q - 8 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45217892 rounded to the nearest ten thousand?\nAnswer: -45220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -67 + 18. Suppose t + 3*u + b - 132 = 0, 570 = 5*t + 4*u. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 15, g - 2*x = -6*x + 17. Find the third derivative of -3*i**2 + 2*i**5 + 4*i**2 - 2*i**g + i**5 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90771138 to the nearest integer?\nAnswer: 9527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(53\/(-607910)*-62)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6814*i - 13626*i - 27*i**3 + 6811*i - 28 in the form w*i + n*i**2 + g*i**3 + o and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + 22 + -48 - 6.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - (-3)\/(-5). Let q be 1\/4 + (-6)\/(-8). Let x = q + k. Is x less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47491 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 104 - 771 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 10*f**2 - 61*f + 14. Let b be t(4). Let n(h) be the first derivative of h**2\/2 + h + 5. Let d(s) = -2*s**2 - 4*s - 6. Calculate b*n(q) - d(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -142*a + 138. Let q be c(1). Let m(k) = -k**3 - 2*k**2 + 9*k - 3. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 8*i = 9*i + 112 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325 + -356.5. Let p = -24.5 - g. What is the second smallest value in p, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*a - 2884*a - 337*a - 1024*a.\nAnswer: -4773*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 2*m**2 + 0*m**2 + 6*m**2 + 4*m**2 - 2*m**2 + (-2*m**2 - 4 + 4)*(3 - 7 + 2).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 258, 1\/5, 109, -55.\nAnswer: -55, 1\/5, 109, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) 3686949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538941?\nAnswer: 3, 13, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/339784 and -71\/84946.\nAnswer: 339784","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2357, 2, 5\/3, 7 in descending order.\nAnswer: 2357, 7, 2, 5\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 28 = 2*v, 4*t - t = 2*v - 25. Suppose u + 5 = 2. Let p(k) = -k**2 - 2*k + 4. Let o be p(u). Solve 3*n = v + o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -271*q**2 + 2*q - 3. Let t be w(1). What is the remainder when t\/(-28) - (-3)\/((-21)\/(-2)) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c8a + -662?\nAnswer: -123ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) + (-38)\/(-4). Suppose -2*a - 37 = -47. Let g be 84 - (-1)\/(a\/(-15)). Calculate the greatest common factor of g and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -1\/4*l**4 + 0*l**3 + 0*l + 5 - 1\/2*l**2 + 1\/20*l**5. Let y(f) be the second derivative of x(f). Solve y(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -49. Let j(h) be the first derivative of -h**2\/2 - 4*h - 1. Let z be j(-6). Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4751 + -4746. Which is the closest to 1? (a) 2\/11 (b) -4 (c) -0.08 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*(b\/b**(-34)*b*b)\/b*b*((b*b*b**(-16)*b)\/b)\/b assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/5, -4, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from zzsqqqssszqqzqq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15066 - 9690. Let o be 5\/(90\/x)*-11250. Round o to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 30, 57, 96, 153, 234, 345?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 14. Let v be -3*2\/9*q. Put -5, -3, v in increasing order.\nAnswer: -5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*k - i, 2*i = -k + 6*i + 12. Suppose 0 = -73*f + 72*f + k. Find the second derivative of 13*s**2 - f*s - 5*s**2 - 9*s + 3*s**2 wrt s.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256 + -577. Let g = -287 - l. What is the smallest common multiple of g and 22?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r + 2*u - 8*u + 68 = -2*u, -3*r = -5*u - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/175, 3, -0.2, 0.019, -2, -2\/5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4 - o**2 - 5*o + 6*o**3 - o**3 - 4*o**2. Let n(z) = 11*z**3 - 10*z**2 - 10*z - 9. Let h(t) = 9*k(t) - 4*n(t). Give h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/16, 4, 0.5, -7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186440 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (46*(-15)\/(-5)*1\/(-3))\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 7. Suppose 2*w + 4*g = -6, 3*g = -3*w + w - 8. Let h be d(w). Suppose h*q + 260 = 4*q. Calculate the highest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = r - 14 - 14, 0 = -r + z + 36. Let y(g) = -g**3 - g - 24. Let d be y(0). Let c = r + d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -146450 - 11006?\nAnswer: -160456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5898 is divided by 660.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 158\/2875 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/12 - y**3\/2 + y**2\/2 - 198*y + 26. Let j(x) be the first derivative of n(x). Give j(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94932 and 12892.\nAnswer: 1044252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95994620?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3216 <= 473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9154, -10792, -3?\nAnswer: 9154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z = -100 - 50 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -30*t + 89. Calculate v(0).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.69 - 47.69. Is 0.083 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 75\/9 + -2 - (188 + -182). Let b(n) be the third derivative of -1\/30*n**6 + 0*n - 4\/3*n**4 - 6*n**2 - 8\/3*n**3 - y*n**5 + 0. Let b(s) = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 12. Suppose -61 = u*j - 5*j - 2*c, 4*j - 262 = -2*c. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 9*r + r + (2 - 3 - 1)*(-551*r + 993*r + 335*r).\nAnswer: -1564*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199311694 and 4781.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 4}. Give prob of sequence cl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3\/13, -0.4, 0.4, -8 in increasing order.\nAnswer: -8, -0.4, 3\/13, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 9, -10 = g - 3*u. Let d(o) = o**2 - o. Let p(x) = 3*x**3 + x**2 - x - 1. Determine g*d(m) + p(m).\nAnswer: 3*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 2 r when four letters picked without replacement from {o: 2, m: 8, g: 5, a: 3, r: 2}.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3748 greater than -3747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2 in ascending order.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -282906*k**2 - 2*k + 2654486 wrt k.\nAnswer: -565812*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzch when four letters picked without replacement from zhzczhzczhhz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223\/40 + 397\/40. Calculate the common denominator of c and (0 + (-8)\/30)*-18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-9403569)\/1015*(-10)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -2\/217, 24, 0.5, -74 in decreasing order.\nAnswer: 24, 0.5, 0.3, 0, -2\/217, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/9 + 466*b**2\/9 - 4012*b\/9 - 4480\/9 = 0 for b.\nAnswer: -1, 10, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 5, -14352, -8 in increasing order.\nAnswer: -14352, -8, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4244756 - 0\nAnswer: -4244756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -960 (base 14) in base 4?\nAnswer: -130320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 378*-96201\nAnswer: -36363978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -3) + -1 - -3. Suppose -10 = -i*a - 5*a. Solve -a*f + f - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + (-40 + 4)\/(-4). Let y(h) = 3*h**s - 5*h**2 - 126 + 64 + 7*h + 70. What is y(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19303251, -38606501, -57909751, -77213001, -96516251?\nAnswer: -115819501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, d: 1, u: 4}. Give prob of sequence uuvd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.4. Let t = -295.8 - -296. Is a greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -19964\nAnswer: -5989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2596*c**2*q**4 + 14*c**2*q**3 - 5*c**2*q - 723*c**2 + 4*q**3 + 88*q**2 + 2 wrt q.\nAnswer: 62304*c**2*q + 84*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 189038\nAnswer: -5\/189038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r**2 - 20. Suppose 535 = -455*c + 460*c. Let z = c + -107. Give i(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.530754 millimeters to micrometers.\nAnswer: 1530.754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2589.\nAnswer: 5178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/109 (b) 552 (c) 2\/5 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**5\/60 + t**4\/24 + 15*t**3 - 7*t**2 - 8. Let a be p(10). Solve 0*d = 2*d - 4*o - 14, a = 2*d + 3*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1245 = 3*w - 1494. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-q**3 - 3*q**3 + 6*q**3 + (0 + 2*q**2 + 0)*(-19 + q + 19)).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -13 + (9 - -4) + 2 + 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 2383499 = -70*y. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -12*y. Let c(x) be the third derivative of x**4\/12 - 5*x**2. Give j(c(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116932.\nAnswer: 2, 23, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2636 - b?\nAnswer: 2627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 2651037?\nAnswer: 2651052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/99 and -59\/135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10000 is divided by 833.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77457.8999825 + -77458. Let s = -0.1 - v. Round s to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -3, -4, 0 in descending order.\nAnswer: 94, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Suppose k*x = -2, -4*g - g + x + 21 = 0. Put 5, g, -2 in descending order.\nAnswer: 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 486*q**2. Let b(n) = 3*n**2. What is b(f(y))?\nAnswer: 708588*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 2*j**2. Let r be p(1). Solve 12 = 4*n, 4*d + r*d + 25 = 3*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**7\/42 - 13*h**6\/12 - 2*h**5 + 65*h**4\/12 + 125*h**3\/6 + 870*h**2 - 3*h. Factor p(d).\nAnswer: -5*(d - 1)*(d + 1)**2*(d + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275\/5*(138\/(-276))\/((-1)\/(-6)*3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -322 (base 9) to base 6\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 3, 0.35, -5 in descending order.\nAnswer: 7, 4, 3, 0.35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.35 + 98.35. Let k = 101 - 809\/8. Put 0.1, f, -6, k in descending order.\nAnswer: f, 0.1, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*n**3 + 334*n**3 - 16*n**3.\nAnswer: 397*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 take away 1328497?\nAnswer: -1328334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -595 divided by 2?\nAnswer: -595\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*q**2 - q - 232*q**2 - 10*q**4 - 7*q**4 + 1 + 733*q**2 + 75*q**3 - 264*q**2 in the form t + c*q**3 + u*q**4 + r*q + k*q**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82241, -164517, -246827, -329171, -411549, -493961?\nAnswer: -576407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c - 32. Let f be h(6). Calculate the greatest common divisor of f and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 8*c + 3*c. Factor 0 + 32\/11*f + 0*f**2 + 2\/11*f**5 - 16\/11*f**3 + c*f**4.\nAnswer: 2*f*(f - 2)**2*(f + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -4.61?\nAnswer: 4.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - 0.2. Let o = -4.8 - -5. Let f = 0.9 - 1.3. What is the closest to 0.1 in f, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 21*n**2 + 22*n + 8. Let x be h(20). Find the second derivative of 3 + x*d - 12*d**5 - 47*d - 3 wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (18 + -9 + (1 - 1) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**7\/2520 - p**6\/240 + p**5\/60 - p**4\/12 + 2*p. Let g(f) be the third derivative of z(f). Factor g(a).\nAnswer: (a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -198307 at least as big as -198309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(16\/(-3)))\/(9\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10688206, 10688235, 10688276, 10688335, 10688418, 10688531?\n\"Answer: z**3 + 22*z + 10688183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 0*u)*(0 - 3 + 4)*(-7 + 3 + 3) + (1 - 2 + 0)*(u + u - 3*u) + 0 + 0 - 2*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*h**2*x**2 - h**2*x + 7*h*x + x**4 - 2*x wrt x.\nAnswer: 88*h**2 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4703505, 4703524, 4703563, 4703628, 4703725, 4703860?\n\"Answer: m**3 + 4*m**2 + 4703500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 - -366. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**8\/2520 - m**7\/630 - 2*m**3\/3 - 4. Let v(j) be the third derivative of f(j). Find w such that v(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 2)*1 - 8\/(-24)*20379?\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 5*x + 10. Let u be r(-4). Suppose -u = -2*h + 18. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -41. Suppose 2*p = -p + q. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkjq when four letters picked without replacement from jkqtttqjjt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q\/(q\/((((((q*q\/q**(-4))\/q)\/q)\/q)\/q*q)\/q)*q*q*q)*q)\/q*q*q)\/q))\/(q**(2\/5)*q))\/(q**(-1\/3))**(-2\/25))**27 assuming q is positive.\nAnswer: q**(-288\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150*c**2 - 49*c**2 + 5*c**2 - 2*c - 3*c**3)*(c - 3 + 3) to m*c**3 + x*c + d*c**4 + l + j*c**2 and give m.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -68.4. Which is the nearest to 0.2? (a) p (b) -2\/23 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -8 - 8)\/(3\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 55, -3, 0.1, 0.4 in increasing order.\nAnswer: -3, 0.1, 0.4, 22, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -35 (c) -36\/7 (d) -79 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4071 is divided by 814.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - -8)*(-6)\/(-3). Let b(c) = -c + 7. Let g be b(6). Sort i, g, 4, 5.\nAnswer: i, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150688 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a - 3*a + 3*a**4 + a**3 - 15*a - 2*a**4 - 4 to i*a**3 + y + c*a**2 + f*a**4 + w*a and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2. Let o be (4 + -2)\/((-1)\/(-4)). Suppose o = 4*v - 0. Let n(x) = -v*x + 1 - 1. Calculate r(n(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2 = -2*d, 27 = 5*d - m + 38 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 8:04 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*s = 8*i - 19, -3*i = 5*s - 13. Let j(q) be the third derivative of i*q**2 + 1\/42*q**4 - 1\/210*q**5 + 0*q + 0*q**3 + 0. Factor j(x).\nAnswer: -2*x*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114 - 121) + 3 + 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -2986\/3, 4\/5?\nAnswer: -2986\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -39814.3 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 117.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23417 - -20325. What are the prime factors of s?\nAnswer: 2, 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.028 to 0 dps.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-15) - 36\/(-270). Suppose -r*m + 966 = 5*m. Let x = 218 - m. 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: Suppose -2*x**4\/15 - 40046*x**3\/5 - 72080*x**2\/3 - 80088*x\/5 = 0. Calculate x.\nAnswer: -60066, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1198, 3, -0.3, 2?\nAnswer: 0.1198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2317150263.8 + -124427255.2. Let g = -2441577340.99999532 - w. Let u = g - 178. Round u to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, -2\/127, 1.8?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7304)\/14110 + (-1 - 19\/(-17)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2144017, -2144018, -2144021, -2144026?\n\"Answer: -h**2 + 2*h - 2144018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -3, -7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1879 - -0.4\nAnswer: 1879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 4 = 5*c, 0 = -2*y - 4*c + 16. Calculate the remainder when 49 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(2\/15)\/f)*((f*f**(-2))\/f*f*f)\/f)**(-2\/5)*((f*f**6)\/(f*f*f**(1\/5)*f))\/((f\/(f\/f**2*f))\/(f\/f**(-1))) assuming f is positive.\nAnswer: f**(334\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 + 4*q - 12. Let i(r) = 5 + 9 - 8 - 5*r + 7*r**2 - r**3. Let t be i(6). Let o be f(t). What is o rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {q: 3, k: 1, i: 9, s: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/21675 and -151\/5670180.\nAnswer: 28350900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3*j - 4 + 1\/2*j**2. Let f = -57 + 64. Calculate m(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 3 - 37906*w + 7*w**2 + 37902*w.\nAnswer: 7*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d + 0*d**2 - 74 + 0*d**4 + 20*d**3 + 2\/5*d**5 + 11\/6*d**6. Find the third derivative of k(i) wrt i.\nAnswer: 660*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000092437 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5673709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1238*u - 32767 = 1035*u + 28604 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 999 divide 6925480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5971*n**3\/3 - 1139*n + 6746. Differentiate c(s) with respect to s.\nAnswer: -11942*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 11*t - 5. What is c(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10893.7 - -10894. What is the nearest to 3 in 1\/14, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {n: 2, b: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1078*u + 2011?\nAnswer: -1078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-24))\/((-6)\/9*(-65)\/(-130)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7533.301 years?\nAnswer: 7.533301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)*s**30)\/((s*s**(7\/6)\/s)\/s**(-24)))**26 assuming s is positive.\nAnswer: s**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79.93 + -80. Sort 1\/4, x, -2 in decreasing order.\nAnswer: 1\/4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + c**2. What is the least common multiple of 20 and m(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760217411?\nAnswer: 760217411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:04 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 666301*h*r**2 + 140040*h*r + 2*h - 12*r + 2 wrt r?\nAnswer: 1332602*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (1 + -2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2, -18, 1, -1, 0.\nAnswer: -30, -18, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from suss.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.0259 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47891041 to three dps.\nAnswer: -0.479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 21*o**2 + 102*o + 58. Let l be j(-14). Factor 4\/11*y**l + 6\/11*y + 0 - 2\/11*y**3.\nAnswer: -2*y*(y - 3)*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-4)*(-56)\/(-21). Suppose h = -c + 12. Suppose -c*j = 4 + 2. Sort -5, -2, j.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -733265, -733255, -733245, -733235, -733225?\n\"Answer: 10*g - 733275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37683 (base 9) to base 7\nAnswer: 133620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*r + 2*r + 66 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*c + 32*c + 35. Sort 217, -3, c in increasing order.\nAnswer: c, -3, 217","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8. Let r = 2 + s. What is the smallest common multiple of 9 + 4\/(-12)*3 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 + 1849 = 90*i + 264 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 358\/45 - 68\/9. Let u = 141 - 110. Put 5, u, -2, p in decreasing order.\nAnswer: u, 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/4 + 5*r**3\/3 - r**2 + 12*r + 422. Determine i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -3.47763?\nAnswer: 17.38815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234751925?\nAnswer: 5, 9390077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/373?\nAnswer: 4\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -270, -972, -2200, -3948, -6210, -8980, -12252?\nAnswer: -16020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, -0.5, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:21 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*a + 117*a - 234*a = -35 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h. Let k be 3\/((-3)\/(h - -6)). What are the prime factors of k\/(-9) + (-22)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18202996 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-42)\/c**(1\/3))\/(c**(-26))**(-1\/34) assuming c is positive.\nAnswer: c**(-2198\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:15 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 4*t - 6. Determine f(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859527 a multiple of 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68739\/8 not equal to 8592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = -0*h. Let u(y) = -y**2 - 14*y + 180. Let c be u(-22). Sort -19, c, h, 1 in descending order.\nAnswer: c, 1, h, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.98 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-127)\/(-5) + (-2)\/5 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345066, 1380290, 3105666, 5521194, 8626874, 12422706, 16908690?\nAnswer: 22084826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286 + -287. Let k(h) = 2*h**2 - h - 1. What is k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.14 + 8.14. Which is smaller: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253539 - -314.9?\nAnswer: 253853.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 748, 649, 362, -215, -1184, -2647, -4706?\nAnswer: -7463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 3*o - 35 + 31)*(9*o**2 + 8*o**4 - 9*o**2).\nAnswer: 24*o**5 + 248*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57323 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: Suppose -17*u = -193 + 159. Solve -15*i + 13 = 2*f - 10*i, 4*f = -2*i + u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:16 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 12*l = 9*l + 9, -4*l = 5*b - 7. Suppose 3*k = -2*v - k + 14, 5*v - 80 = -k. Let t = 30 - v. Solve 0 = -2*h + c + 12, -b*c - c = -h + t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, t: 1, a: 1, y: 6, m: 2, p: 1}. Give prob of sequence tpmy.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -1.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19788468857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3306254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -26. Let g(t) = -3*t - 4. Let i be g(-6). Suppose l - i = 2*c + 5, 0 = 3*c - 12. Calculate the greatest common divisor of l and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5))**13 assuming c is positive.\nAnswer: c**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/147 and -73\/35.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/20 + 12*d**4 + 1152*d**3 - 3*d**2 + 2*d. Solve q(a) = 0.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(2\/6 + (-1295)\/(-105)). Does u = -166\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3127 and 2279?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-6) - (-10)\/(-84). Let z = 0.2 - 0. Which is the third smallest value? (a) m (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -7) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1133*m - 569*m - 565*m + 58)*((2*m - 3*m - m)*(1 + 3 - 6) - 4*m + 0*m + 6*m).\nAnswer: -6*m**2 + 348*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 232000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/198 and 137\/486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18612607*j**3 + 39989608*j**2?\nAnswer: -111675642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6298 = 2*s, 127*s - 132*s + 15756 = c. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61ec (base 15) in base 9?\nAnswer: 31346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300068 is divided by 682.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 m when three letters picked without replacement from {m: 1, v: 1, c: 4, u: 9}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 9*w**2 - 10. Calculate a(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0 - 11) + 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -195 - -25?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*-2*sqrt(77)*-1)\/(sqrt(448) + 2*sqrt(448) - sqrt(28)).\nAnswer: -36*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5096)\/2002*(-1463)\/76.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4161, 4, -2, -5, 5, -4.\nAnswer: -4161, -5, -4, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_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: Is 1233072 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13758 = -4*i - n, 4*i = n + 2029 + 11725. List the prime factors of i.\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.62+-9\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16861 less than -666?\nAnswer: -17527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/8 + 69*d**2\/4 + 999*d\/2 - 6845.\nAnswer: (d - 10)*(d + 74)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c80 + -1?\nAnswer: c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1365 and -3?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in -1\/8, -5, 0.3, -3\/4, 7\/11, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5005*m**2 - 6888?\nAnswer: 10010*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 1 - a**2 - 3*a**2 - 77*a**3 + 78*a**3. What is b(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-90)*(23\/253 + (-104)\/(-66)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 52*x - 15. What is h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 3387727475.\nAnswer: 3387727476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 4 + 3\/(-2))*2. Solve -3*y - p + o = p, -y - 5*p + 24 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/585)\/(1\/(-15))*(-1365)\/325?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24692431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:17 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + 0*o**4 - 3*o**4 + ((0 + o + 0)*(1 - 1 + 2) - 5*o + 4*o - 11*o)*(-2*o**3 - 3 + 3).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/5 + 4733*i\/5 + 9486 = 0 for i.\nAnswer: -10, 4743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(3\/24)*1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -12. Solve l + 10 = 4*x, g*x = 3*x + 3*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:30 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40923.17 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 2*z - 3. Let n be b(3). Determine r so that 0*r**4 + 0*r**5 - r**3 + n*r**4 + r**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Let z(m) = 5*m**2 + 9*m**2 - 9*m**2 + m + 8*m**2. Let b be z(-1). Solve -4*g - f = b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 25. Let d = k + -7. Suppose -d*b - 10800000 = -7*b. Round b to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(5*sqrt(104)\/sqrt(8)*4 + 4)*5.\nAnswer: 400 + 2000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-7) - 184\/14)*-1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 101, 224, 395, 614, 881?\n\"Answer: 24*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 1735*h + 350350.\nAnswer: -5*(h - 143)*(h + 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 134732*d**3*u - 13*d**3 + 22*u - 2259896 wrt u?\nAnswer: 134732*d**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15 + -13)*(-3 - -4). Solve -u = y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 7*i + 6*i - 20, -6*x = -i + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (51\/(-68))\/((-1)\/4). Suppose -3*w = -3 - 6. Let u = d - w. Solve -4*j - 16 = u, 5*i + 10 + 10 = -5*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14*7\/(-14) - 4. Let y(l) = -3*l**4 - 11*l**3 - 26*l**2 - 14*l. Let o(w) = 16*w**4 + 56*w**3 + 131*w**2 + 69*w. Let p(i) = u*y(i) - 2*o(i). Factor p(t).\nAnswer: t*(t + 1)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 729*b - 8113. What is o(11)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -70\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-5*(-2)\/20 + -1). Is (16\/6)\/(a\/180) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2459 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 50*p - 51*p + 229, -4*p = -24. Solve -c = 13*o - 288 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, -1, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.9 + -0.4206932198.\nAnswer: 11.4793067802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -430.53.\nAnswer: -430.53, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 22 - 853 - 6*k - 399.\nAnswer: -6*k - 1351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 80\/10 - (0 + 5). Solve -44*j - b*d = -42*j + 20, -2*d = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Suppose -20 = -6*p + y*p. Suppose 3*d = -p*h + 78, -4*h + 43 = -4*d - 45. Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + 24*h - 8 + (0 + 2 + 4)*(-h + 0 + 0))*(28 - 28 - 12*h).\nAnswer: -216*h**2 + 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 2, o: 2}. What is prob of picking 2 k and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/2 + 5\/(-10). Let x be 15\/126*y\/15. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 times -21449\nAnswer: -965205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000278498 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-1*(-31 - 2). Is p <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 0.5, -4, -2.\nAnswer: -4, -2, 0.5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -9*t + 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6*(-1)\/2). Let c(r) be the first derivative of 0*r + 1\/3*r**3 + h + 0*r**2. Let z(o) = -2*o. Calculate c(z(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394, -805, -1216?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 + 0 = 0. Sort -1, 19, w in descending order.\nAnswer: 19, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 35177573?\nAnswer: -35177571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.45.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/3, -2.6.\nAnswer: -2.6, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 1 - 1)*(-5*k + 4*k + 3*k) - 3*k**2 + k**2 + k**2 + 2*k**2 + 1 - 1 + (7*k + 7*k + 3*k)*(4 - 4 + 1)*(-1 + 1 + k) to b*k + j + v*k**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9\/j**7)\/(j**(-4)\/(j\/(j\/j**(14\/9)))) assuming j is positive.\nAnswer: j**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 854400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 6*y = -616. What is the smallest common multiple of y and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*l - 1563 + 1592 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 + 16*a - 14. Let t(m) = -11*m**2 - 33*m + 29. Let d(f) = 6*t(f) + 13*u(f). Let l be d(6). Solve 2*q = -2*q - l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:42 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**2 - 192 + 30 + 162.\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7637427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*n - a, 5*n + a + 16 = -0*a. Let v = 3 + n. Let q = 367 + -363. Are v and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213200221 - 10?\nAnswer: -1213200231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 57387*c\/2 + 4150045.\nAnswer: (c + 145)*(c + 57242)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**9*c*c\/(c**(-3\/11)\/c)*c assuming c is positive.\nAnswer: c**(157\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -339723*r + 1. Let p(q) = -128*q**2. Determine d(p(k)).\nAnswer: 43484544*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129157166 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009447 to 7 decimal places.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/207 - (-64)\/36. Let h(n) be the second derivative of 1\/3*n**4 + 0 - 8\/3*n**3 + 8*n**y - n. Factor h(x).\nAnswer: 4*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35383974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 0*b**3 + 2*b**4)*(-5 + 4 + 6) + (-5*b**3 + b**3 + 6*b**3)*(3*b - b + 0*b).\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b = -467 + 2095. What is the greatest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/7670672 and -65\/8.\nAnswer: 7670672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 1:54 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5071 + 5158.74. What is x rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4820\/(-964)*(1\/(-1))\/((-1)\/17)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289*(-1 - -3 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/105 - 122\/(-7). Which is the fourth biggest value? (a) 3 (b) -0.5 (c) x (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(300)*2 + sqrt(300))**2.\nAnswer: 240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058 - 274 = -3*w. Suppose -11*m + w = -7*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23366 + 43325. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/6*o**3 - 1\/20*o**5 + 0 - 1\/2*o**2 + 0*o**4 + 6*o. Let s be (-4)\/(-10) - 2\/5. Determine i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -0*x. Suppose 4*j = j + 12, 3*f - 28 = -4*j. Suppose -r + w = 0, w - x*w = -4*r + f. Let o(k) = k - 1. Determine o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35535 is divided by 75.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-850)\/(-475))*5\/10\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*z + 113 + 171, -2*g = 5*z - 355. Let l = z - 75. What is the remainder when (19 + -9)\/(-2*1\/l) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-291)\/(-7760)*-1060*(-4)\/(-3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5710 * -625\nAnswer: -3568750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 157424491\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9119 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -8, -2, 68 in descending order.\nAnswer: 68, 2\/3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 21*i**2 + 23*i + 12. Let m be t(-22). Let x be (-5)\/4*9\/((-225)\/m). Put 5, x, 0.18 in increasing order.\nAnswer: x, 0.18, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + t**3 + 0*t**3)*((4 + 0 - 2)*(-2*t + 0*t - t) + 15*t + 14*t + 27*t).\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 j, and 1 p when four letters picked without replacement from {j: 2, f: 1, d: 8, p: 5, m: 3}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeggggeeege. What is prob of picking 2 g and 2 e?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4725700, -9451401, -14177102, -18902803?\n\"Answer: -4725701*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0) + 2 + 0. Suppose -3*k + 5646 - 1269 = t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16929 + 16953. What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-5)\/1*1. Let f be 2*-1 - (-28)\/w. Sort -5, f, -3.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -28914376?\nAnswer: -3\/28914376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 0*t + t**2 - 11*t in the form h + v*t**2 + f*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-15)*(-5)\/6. Suppose 4*r - 36 = -144. Let s be 21\/r + (-1)\/(-1). What is the closest to j in 1\/3, s, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4097*l**3 - 5*l**2 - 671*l - 7 wrt l.\nAnswer: -24582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 39 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108763314 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: Put together 21 and 17958850.98351.\nAnswer: 17958871.98351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 0*n)*(0*n + 3*n - 2*n) + 0*n**2 - n**2 - 6*n**2 - 7 - 4*n**2 + 7 - 3164*n - 21*n**2 + 3164*n.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9532 and -2.47.\nAnswer: 23544.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 11*d - 10 = 0. Suppose -6 = m - 4*m, -3*w = 2*m - 19. Suppose -v + 6*l - 4*l + 1 = 0, -v = -w*l - 1. Sort -2, -3, v, d in ascending order.\nAnswer: -3, -2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.649309 decades in centuries?\nAnswer: 0.8649309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(153))**2 + sqrt(51)\/(sqrt(6)\/sqrt(2)) + -3 + (sqrt(17)*-1 + 5)**2.\nAnswer: 3*sqrt(17) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754878213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -60 + 285 + -70.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.8511179 rounded to 3 dps?\nAnswer: 89.851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10 - 8 + 9 + 2*o**4 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1, -41, 3, 5, -13094.\nAnswer: -13094, -41, -1, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3269974384 to the nearest one hundred thousand.\nAnswer: 3270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -195, -396, -609, -840, -1095, -1380, -1701?\n\"Answer: -r**3 - 194*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d + 140. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103245 at least -574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 14\/9*f + 2\/9*f**3 - 16\/9*f**2 = 0. Calculate f.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177948941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -885 + (-3)\/(-12)*12. Let k be h\/9*(-1)\/(-2). Is k equal to -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2575721, 2575720, 2575719, 2575718, 2575717?\n\"Answer: -t + 2575722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601767 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96\/9 + (-5)\/(-15). Let k(o) = 3*o + 19. Let l(m) = m + 6. Let d(i) = 2*k(i) - 7*l(i). Let f(y) = 2*y + 11. Determine a*d(n) + 4*f(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s - 6. Let p be z(-1). Differentiate -3*f + 6*f**2 + f**2 - 3*f**2 - 8*f**p + 45 with respect to f.\nAnswer: -8*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 279 = -w. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 5 - -1) + -8 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - u = 1586. Suppose u = -5*k + 342. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 less than or equal to -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1792 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13227, 5, -4 in decreasing order.\nAnswer: 13227, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-234 + -3 + 3 + 2). Suppose 532*h = 539*h - y. Calculate the greatest common factor of h and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 796*i - 53331. Calculate j(67).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - 3?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 8. Let r be (3\/(-1))\/(18\/24). What is the tens digit of y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 6:09 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/14*(-52)\/(-24). Which is the third biggest value? (a) v (b) 2 (c) -1\/3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -636.716 - -635. Let t = -1.70827 - x. What is t rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5\/5 + 7*a**4 - 9999*a**3\/5 - 107*a**2\/5 + 29918*a\/5 + 19992\/5 = 0.\nAnswer: -119, -1, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sokk when four letters picked without replacement from okks?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - (1*sqrt(77) - sqrt(77))))\/(sqrt(99)*6).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 6*b**2 + b**2)*(-1002*b**3 + 799*b**3 + 925*b**3).\nAnswer: -4332*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -380074 + -303?\nAnswer: -380377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3154 and 3486?\nAnswer: 66234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m - 9 = -24*m - 4*b, 0 = -2*m + 2*b + 8. Solve -6*l = -l + m*t - 35, -l = 4*t - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-13))\/w**(-3\/11)*w**(1\/17)\/w**(-12) assuming w is positive.\nAnswer: w**(62\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1512622 and 325316.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26682791 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1236\/(-24))\/(2\/(-8))?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l + 14. Let c(z) = -2*z**2. Give n(c(g)).\nAnswer: -10*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((640\/(-48))\/(-8))\/((-5)\/(-12)). Solve -5*r - 2*c - g = 13, 4*r - 4*c + 8 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*f - 2*f = -145, -3*l = 5*f - 105. Suppose -a - 3*a = -l. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 4*w - 5*w + 0 + 0 - 2*w + (-2 + 3 + 0)*(-w - 2 + 2) - 3*w + 3*w + w + (2*w + w - 6*w)*(2 + 3 - 3) + 8*w - 7*w + 10*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 184 = -179. Suppose -h*r + 9*r = 2*a - 200, 3*r = 3*a - 288. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - k + 2. Let g = 15 - 22. Let r(u) = 4*u**2 + 3*u - 5. Give g*x(p) - 3*r(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2348, -2326, -2316, -2324, -2356?\n\"Answer: -w**3 + 29*w - 2376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/36 + (-27)\/(-4). Let c = -4 + f. Solve 0 = 2*o + 10, o - c*o - 7 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1 - 3)*3. Let a be p\/(-18) + (-58)\/(-12). Let w(v) = -v**3 + 6*v**2 - 7*v + 6. Calculate w(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8.9. What is the third biggest value in 1\/7, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/296385 and -91\/104683182.\nAnswer: 523415910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u - 102354 = -53*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbdabdagddaa. Give prob of picking 1 m, 1 g, and 1 a.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002224 (base 6) in base 13?\nAnswer: 3392b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -768e29c?\nAnswer: 768e29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -148850000 to the nearest 1000000.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15746327 and 123936?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820925454.\nAnswer: 2, 17, 53556631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 324858 (base 9) to base 14\nAnswer: 50930","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419807452?\nAnswer: 2, 17, 43, 143573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/9 and 9.75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5354801 and 15603.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -11 + (-4 - 0 - -27 - 14).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3153737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/(-45)*(-12)\/432*-20.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c31c3 (base 15) in base 4?\nAnswer: 2112320301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/(-24) - -18) + -10?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from gwggwrcgrzr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5392566ms?\nAnswer: 539256.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14577)\/14578 - -1)*(-160)\/10. Let y = t - -867583\/174936. What is the common denominator of y and 31\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/8)*l*l\/(l\/l**(-5))*((l\/(l**13*l))\/l)\/(l*l*l\/l**11*l*l))**(-22\/5) assuming l is positive.\nAnswer: l**(957\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 16399631 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -1.8. Let y = -4 - s. What is the biggest value in y, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0391 + 0.0247. Round n to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*d + 845*d - 8499 = 20191 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 177. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232311011 - -100231?\nAnswer: -232210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -27 (c) -0.4 (d) 0 (e) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -138, -238?\n\"Answer: -100*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2399 divide 116862734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 186912*z + 5272. Let n be b(-6). Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(168))\/((sqrt(112)\/sqrt(2))\/sqrt(8)))\/(sqrt(200)*-2*6 + 2*-1*sqrt(200)))**2.\nAnswer: 3\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26671913.1 minutes in weeks?\nAnswer: 2646.023125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/81 - (-94)\/6. Suppose -u*d = -459 - 711. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9547316 to the nearest integer?\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*r + 0 - 2 + 0)*(r - r + 2*r).\nAnswer: 78*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 28, -46*n - 32*n + 80*n = -2*a + 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -5, 9, 7 in increasing order.\nAnswer: -5, 7, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a9 + 27894?\nAnswer: 25796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34417 is divided by 703.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -350 + 360. Solve 2 = -q, -2*x + s = -5*q + 4*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1050 and 350.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -643 and -646 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317261954 to the power of 1\/2, to the nearest integer?\nAnswer: 36294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 227\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4027822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3040 divided by -8\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26322 is divided by 5159.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - ((13 - (0 + (11 - 8))) + -23).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -211 + 51. Let x = m + 3. Calculate the remainder when x is divided by 48\/4 - (1 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 2306*c + 1055*c**3 + 2*c**2 + 2460*c - 4766*c.\nAnswer: 1055*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3402 and 137\/162?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 2*o**4 + 0*o)*(-1 + 0 + 3) - 58*o**4 + 107*o**4 - 142*o**2 - 51*o**4 in the form f*o + i*o**3 + p + z*o**4 + h*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 1, t: 1, f: 2, p: 5}. What is prob of sequence hpfx?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.172 + -0.272. Let t = -7.3 - -7.4. What is the second smallest value in t, -1\/4, j, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 701624 and 6314.\nAnswer: 28766584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*v - 40, -v = -3*v + 3*n + 33. Calculate the greatest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 a factor of 30920160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 24. Suppose y + 2 = f - 5, 4*f = 2*y + 32. What is the remainder when v is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 976 divide 2033349335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7409 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 25. Suppose 0 = -2*a + 35 + d. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631235.16ns in days?\nAnswer: 0.0000000073059625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2032.879991 - -2033.01. Let x = -12.13 + 12. Let k = n + x. What is k rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 - 0.07. What is the third biggest value in -0.3, 1\/6, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2499\/35 - (-4)\/(-10). Let t = f + -50. What is the units digit of (0 + 75)*(22 - t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 4, -2*z - 4*u = -26. Suppose -8 = -4*f, g - 70 = -g - z*f. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) - (-44)\/(-7). Let a(c) be the third derivative of -c**4\/24 - c**3\/2 + 3*c**2. Let f be a(g). Solve -6*i = -f*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/(-18) + -3 + 10.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -37. Let g be 9\/(265\/70 - n). Is -44 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2426, -0.4, 3\/4 in increasing order.\nAnswer: -0.4, 0.2426, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46054184 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16430 - -183163\/11. Let z = i - 221. Which is the closest to 1? (a) 0 (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wss when three letters picked without replacement from {w: 3, d: 1, r: 2, s: 4, n: 2, i: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:37 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-55) + 702\/(-1170)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*a - 1. Suppose -5*r = -3*i + 8442, 4*r = -a*i + i + 8469. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 26 = -4. What is the remainder when 59 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 118490*q**3 - 702230945*q**2 + 2807502060*q - 2807028180.\nAnswer: -5*(q - 11847)**2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = -9*t - 20*t - 537 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58, -219, -488, -865, -1350, -1943, -2644?\n\"Answer: -54*p**2 + p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-20 - 0) - (-13)\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 14*m - 166. Determine i(-15).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*h + 20 = 0, d - 4*h - 26 = -8*h. Let o(t) = -7*t - 2. Let u(f) = f. Let m be (-2)\/(-8) - 6\/(-8). Give d*u(y) + m*o(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -43*z**5\/10 - 38*z**4\/3 - 162*z - 101. Let s(q) be the first derivative of c(q). What is the third derivative of s(u) wrt u?\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 1 (b) -0.5 (c) 41 (d) -14\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 6. Let b(p) = h*p - 6*p**2 - 12*p**2 + 17*p**2 + 2. Calculate b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2. Suppose -4*o - 12 = -o. Let y(p) = -2*p**2 - 4. Let g(d) = 46*d - d**2 - 91*d + 0*d**2 - 3 + 45*d. Let w(s) = o*g(s) + 3*y(s). Give w(q(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -377*d + 5. Let m(l) = 2*l + 1. What is 2*h(q) - 10*m(q)?\nAnswer: -774*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 242699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) 3 (c) 2\/8985 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6323292485924\/7015 + 901395926. Let v = f + 213\/23. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-c**3 - 2*c**3 + 2*c**3) + 261*c**2 - 261*c**2 + 18*c**3)*(5 - 5 - 2)*(-2*c + 5*c + 0*c)*(-3 + 4 + 4).\nAnswer: -480*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31241483 divided by 21\nAnswer: -4463069\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1138 - -1468. What is the remainder when w is divided by 113?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*h**2*m**3 - 9*h**2*m - 2241*h*m**3 - 7068*h*m - 3*m**3 - 34*m**2 wrt m.\nAnswer: 96*h**2 - 13446*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3123966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + n - 1 + (4 - 3 + 1)*(-2*n + 5*n - n) + (0*n - 3*n + 2*n)*(4 - 3 + 0) + 4*n + 10*n - 17*n as l*n + w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/6*(-288)\/81?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0820146 millimeters?\nAnswer: 0.00820146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 2. Suppose -21*f - 7502 = f. Let k = 344 + f. Solve k*a = m - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(132)*-3 - sqrt(132)) + sqrt(132))*2)\/((sqrt(12) - (sqrt(12) + 1*sqrt(12))*4) + (sqrt(108)*-2 - sqrt(108))).\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190945*w**3 - 2*w**2 + 2 - 2 - 190964*w**3.\nAnswer: -19*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + g)*(-3*g - 2*g + 6*g) + 5*g**2 + g**2 - 4*g**2 + (-4*g**2 + 2*g**2 + 0*g**2)*(-2 - 1 + 0) - 68*g**2 - 38*g**2 + 43*g**2.\nAnswer: -53*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u + 6 = 0. Suppose 2*x - 105 = -u*x. Let g = -136 - -197. Calculate the remainder when g is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5048155723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -66141900 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32731 - -20372?\nAnswer: -12337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356429015?\nAnswer: 5, 71285803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 27 = -3. Suppose 30 = 2*n + 3*s - 44, -4*s = -4*n + 108. What is the remainder when n is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 395?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 10*t + 20. Let q be b(-5). Let f(z) = -z**3 - 2*z**2 + 4*z - 11. Let i be f(q). Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130142 + -85503275\/657. What is the common denominator of a and 17\/144?\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7890.7397 to the nearest ten.\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 - 1?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 239630 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 16*d + 4. Let l = 101 - 106. Let u(q) = q**2 - 17*q + 5. Let v(f) = l*w(f) + 4*u(f). Suppose v(k) = 0. What is k?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 326 - 194. Let c = 14230788.00211 + -14230920. Let a = c + o. What is a rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35005 + 3*t**2 - 3*t**2 - 32231 - 2718*t**4 wrt t?\nAnswer: -10872*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7 + -3?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 5*g**2 - 4*g. Calculate s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1609\/2277?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/9 (b) 1 (c) -68 (d) 2\/11 (e) 1\/3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = 16. What is the second biggest value in l, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2654 = -2*f + 4*p, -f = 7*p - 10*p - 1328. What is the greatest common factor of f and 901?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/((-2)\/24). Suppose -406 = -6*j + b*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 288 (b) 2 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -451 (base 7) to base 9\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 32, -7, -23, 5.\nAnswer: -23, -7, -3, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 4. Let q be l(4). Suppose 0*m = 5*j + m + 15, -q*m = -4*j + 12. Let v be (-1 - -3)\/j*1. Sort 4, v, 0 in increasing order.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 13\/13)*2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1105*t - 6616. Determine h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 426*p - 4818. Determine k(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1004, 4, -275, 59, 3, 2, 1 in decreasing order.\nAnswer: 1004, 59, 4, 3, 2, 1, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 14*k**2 + 34*k - 33. Let p be z(16). Let j be p + -4 - (0 + -2). What is the closest to -1\/3 in 1\/4, -3\/8, j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4129*n - 66066. Determine x(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - 37) + -27 + 31?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -17. Let g(c) = -7*c - 6. What is the tens digit of g(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2987, -2986, -2985?\n\"Answer: h - 2988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -18999, -5, 4 in descending order.\nAnswer: 5, 4, -4, -5, -18999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - -12)) + (9 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-10) + (-2)\/(-10). Suppose 32*r - 43*r = -3817. What is the third derivative of -347*n**5 + 2*n**s + 19*n**6 + r*n**5 + 0*n**2 wrt n?\nAnswer: 2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.8 + 36.8. What is the nearest to 5 in x, 1, 3, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3783 or 3780?\nAnswer: 3780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1300?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/2 + (-3002)\/(-316)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128456061 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: Which is the biggest value? (a) 0 (b) 0.2 (c) -1\/4 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 h when four letters picked without replacement from tstshsstthshsshss.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 3*u**2 + 2*u - 7. Let o be j(-3). Let p = 70 - o. What is the third derivative of 3*m**3 - 3*m**3 - 4*m**p + 21*m**3 wrt m?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 - 15*s**3 - 9*s**3 + s**3 + (-6 + 2 + 2)*(-2*s - s**3 + 2*s) + 4*s**3 - s**3 - 2*s**3.\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 2. Let s(k) = 5*k + 3. Let d(f) = -6*g(f) - 4*s(f). Let r(n) be the second derivative of -n**4\/6 + 10*n. Give d(r(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -521 - -499.24. Let j = 21.9 + c. Is -2\/9 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 14 = 4*s + 3, -s + 5 = 0. Suppose -13 = 3*j + 10*j. Which is the second biggest value? (a) -2 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, q: 12}. What is prob of picking 3 q?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 1. Let k(f) = -13*f + 459. Let g(w) = -10*w + 357. Let q(z) = 9*g(z) - 7*k(z). Determine -3*o(j) - 3*q(j).\nAnswer: 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -135, 172, 1003, 2622, 5293, 9280, 14847?\n\"Answer: 44*y**3 - 2*y**2 + 5*y - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 702542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064754 to six dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 148 - 77 - 67 - 259*j**4 + j to the form u*j**3 + m + z*j + a*j**2 + i*j**4 and give i.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1096 or 1094?\nAnswer: 1096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399.9072285 - 1461.\nAnswer: -1860.9072285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 7. Let r = 11 - i. Let t(d) = -d**3 + 12*d**2 - 11*d - 1. Let k be t(11). Put -2, k, r in decreasing order.\nAnswer: k, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008512222157 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 36*k + 538. Give u(-45).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/1004090 and 41\/97960.\nAnswer: 4016360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (621 + 1701 - 997 + 936)*(2*p**3 + p**2 - p**2).\nAnswer: 4522*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q + 4. Let d be g(-3). Let w(b) = -1609 + 3214 - 1605 + b**2 + 2*b. What is w(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d**5\/9 - 5212*d**4\/9 - 5416*d**3\/3 - 17252*d**2\/9 - 6718*d\/9 - 160\/3 = 0. What is d?\nAnswer: -1, -1\/11, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 16\/1319?\nAnswer: 16\/1319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:44 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1285, -1275, -1257, -1231, -1197, -1155?\n\"Answer: 4*m**2 - 2*m - 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/4 - 3*d**3 + d**2\/2 - 11*d + 1. Let r be l(9). Let c = 58 - r. What is the greatest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(242)*-5 + -2)**2.\nAnswer: -3960*sqrt(2) + 1960204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*w - 33*w + 8*w)*(-w + 2*w - 8*w)*(3*w - 6*w + 4*w) + 0 + 0 + 2*w**3 to the form n*w + x + m*w**3 + u*w**2 and give m.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.668 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 26. What are the prime factors of (-4)\/j - (-388)\/15?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 240 = 5*j, -5*j + 283 = 5*o + 93. Let l(g) = 28*g - 2376. Let m be l(85). Suppose -m*u + 245 = -o. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -267622685206 and -3.18?\nAnswer: 267622685202.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*a - 0. Let d(y) = -2*y**2 + a*y - 4*y. Let x(p) = 4*p. Let h(n) = 3*n. Let o(u) = -5*h(u) + 4*x(u). Calculate o(d(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3 - 444*l**2 + 11682*l - 30996 = 0.\nAnswer: -246, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y - 218. Let r(f) = -2*f**2 + 31*f + 54. Let n be r(16). Let x be u(n). Solve -1 = t, -x = 2*a - 7*a - 5*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-4)\/(-12)*-2. Let j = 0.2 - 0.5. Let l = -1.5 + 2. Which is the third smallest value? (a) j (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 11*t - 5. Determine a(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.75 (b) 17.7 (c) 0.3 (d) -2 (e) 1\/36 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1)\/(1830\/36 - 47)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(32)*6 - sqrt(6)\/(sqrt(6)\/sqrt(2)) - (sqrt(392) - sqrt(392)*1)\/sqrt(4)))**2.\nAnswer: 9522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = g, -l - 3*g - 10*g - 5449 = -5135 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1866, 1864, 1862, 1860?\nAnswer: 1858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-12)*645\/(-5590).\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 601*k - 100478. Determine a(167).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7805*x**4 - 2*x**3 - 2*x**2 - 3*x + 1627518?\nAnswer: 31220*x**3 - 6*x**2 - 4*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48276 divided by 4.\nAnswer: -12069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001013124 rounded to 7 dps?\nAnswer: -0.0001013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 161 = 4*n - 177, -4*n + 20 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5, -3.4, 1, 17.97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 2) + 2)*(-288)\/(-192)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 952193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -582*y + 7520. What is b(13)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96787\/18 - -48398\/9. Find y, given that 0 + 11\/4*y**2 + v*y**3 - 1\/4*y**4 - 3*y = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 15 = -5*b, -3*b = -3*h + 14 + 16. Suppose -395 - 817 = 2*v - 5*y, -h*v - 2*y - 3059 = 0. Is (3 - v\/1) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 1:16 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/100*30)\/((-6)\/21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 17*o + 47. Determine v(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 1. Let c be t(-3). Let w(h) = h + 12 + 3*h + 9*h + h - h**c. What is the remainder when w(13) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 - 57*b + 73. Let l be p(7). What is the closest to -0.1 in l, -1\/7, 0.3, 1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 720*p**3 - 14*p**2 - 11*p + 114. Is h(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5\/2 (c) -3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*k - 3*h, 5*k + 2*h - 27510 + 27512 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124529 is divided by 124397.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (36 + -39 - (1 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:17 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90078066 divided by 65559.\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 3*s**2 - 3*s**2 + (-s + 0*s + 3*s)*(0*s - 3*s + 4*s) + (s - 2*s - 7*s)*(-4*s - 7*s + 9*s))*(0*s**2 + s**2 - 3*s**2).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (2 - -1)*-41. Let l(g) = 3*g**2 + 28*g - 19. Let j be l(-7). Let v = j - b. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 4*l - 297 + 314, -5*l = -5*u + 30 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5*g = 20. Let s = 2 - g. Let q be (-5459996)\/(-14) + s\/(-7). What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728783 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-3 + 1) - 4. Let x = -3 + f. Suppose -19*b + 33 = -24. Sort 5, b, -5, x.\nAnswer: -5, x, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 equal to -6532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 289, 556, 833, 1126, 1441, 1784?\n\"Answer: f**3 - f**2 + 263*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4452.6 - -235?\nAnswer: -4217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/27 + (-2)\/(-9). Suppose -2*o + 2 + 0 = a. Let u(x) = x**3 + x**2 - x. Let c be u(o). What is the third smallest value in 3, c, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 + 3*r + 1. Let w(q) = q + 2. Let o be w(-6). Let p = -8 - o. Let b be k(p). Solve b*c - 6 = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1796*a*c**2*i**2 + 2*a*c*i**2 + 2*a*i**2 + 5*a*i - a - 89*c**2*i**2 + 146*c + i wrt c.\nAnswer: -3592*a*i**2 - 178*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8221 - -7.\nAnswer: 8.8221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10)\/(10\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*l - 32, y - 52 = -4*y - 2*l. Let v = y + 12. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2645*q + 174048 = 5643*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.05, 0.2, -771, -28, 2\/15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -7\/2, 17?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 5)*(-6 + 3*n + 6) - 5 + 5 + n)*(5 + n - 5)*(6*n - 6*n - 3*n**3).\nAnswer: 15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18061\/10 + -1803. Let z = 26659 - 2026045\/76. Let n = z + -253\/95. Find the common denominator of s and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1544207.3939 and -2.\nAnswer: -1544209.3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - sqrt(22)\/(sqrt(66)\/sqrt(6))) + (sqrt(16)\/sqrt(2) - sqrt(8))\/sqrt(4).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -58*f + 1. Suppose -29*c - 105 = -366. Let u(r) = -2 + c - 7 + 0 + r. What is i(u(o))?\nAnswer: -58*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (169 + -188 - (14 + 0)) + -13 + -1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + -0.43. What is the closest to 2\/5 in 0, t, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 3*d**2 - 2. Suppose 27 = 6*z - 3. Let j(b) = -1 - z*b + 4*b + 1. Calculate j(x(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (560\/(-168))\/((-5)\/6). Let j be 2\/(-4) - 2\/(-4). Sort 3, j, t, 5 in ascending order.\nAnswer: j, 3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -45) + -2 + 2 - (588 - 578)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1332, -5423, -12280, -21903, -34292?\n\"Answer: -1383*n**2 + 58*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315432 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -288001 and -288595 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhihohqhqiiqhohofh. Give prob of sequence qo.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 9. Let w = u - 3. What is the closest to -1 in 0, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1010295, 2020594, 3030893, 4041192?\nAnswer: 5051491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/30 - (-992)\/40. Let m be 20\/2 - (-1 + 1). Suppose z = -m*n + 11*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -493, -490, -485, -478, -469, -458?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {b: 1, q: 4, x: 5, i: 4, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948991387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 188 or 187?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 155.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 104b6b - 3c?\nAnswer: 104b2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11777029.\nAnswer: 11, 541, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 4*w**2 + 6*w + 1. Let p(x) = x + 59*x**2 - 58*x**2 + 5 + 0. Let g be p(0). Give i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1946)\/(-8))\/(-1)*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(-27)\/6*8\/(-48). Suppose 8*i = f*i - 19. Calculate the remainder when 34 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/63*1\/(4\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 6. Suppose 21 = 3*f - 3*m, 2*m = -3*f - 3*m + 5. Let a be d(f). Solve 8*u**3 - a*u**2 - 8*u + 12*u - 2*u**4 - 6*u**2 = 0 for u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/4 + 8*x**3 + 23*x**2\/2 + 45*x - 243. Give v(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*x**2 - 5940*x - 4825359?\nAnswer: 54*x - 5940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(24)\/sqrt(3)))\/((-2*sqrt(44))\/sqrt(11))*6 - ((sqrt(72) + 0 + -4 + 4)*1)**2.\nAnswer: -72 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (113 + -201 - (1 + -19)) - -20\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13257 is divided by 467.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10763421*h*k**2 - 3*h*k - 74*h - 62*k - 1 wrt k.\nAnswer: 21526842*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*o - 4 - 8, -3*h - 8 = 2*o. Put -2, o, 9 in increasing order.\nAnswer: -2, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49863200 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*y**2 + 2*h*y - 65830*h + 43448*y**2 - 2*y wrt y?\nAnswer: -2*h*y + 2*h + 86896*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22783 (base 9) in base 4?\nAnswer: 3231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46839085673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616 (base 7) to base 12.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2060\/13320)\/((-1)\/(-3)). Let d = o + 4\/111. Determine y, given that -d*y**2 + 0 + 1\/4*y + 1\/4*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 + 269*w - 182 + 93 as x + d*w and give d.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 10 - -15 - 16 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108)*3)**2 + sqrt(108) + -1 + 5.\nAnswer: 6*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -14. Let h = -6 + k. Solve h - 4 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 5*t - 21, 4*t = 3*m - 6*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22784616*f**2 + 21014076 wrt f.\nAnswer: -45569232*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/24 + 11*k**3\/6 + 2*k**2 + 27*k. Let u(w) be the first derivative of s(w). Calculate u(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/962 + 117\/111\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22370831 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.013404ns to days.\nAnswer: 0.00000000000079876625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1446.1*13571.\nAnswer: 19625023.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 34?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.4 + -19. Let p = -2.5 - l. Let u = p + 0.9. Put 5, 0.1, u in descending order.\nAnswer: 5, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:45 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*2 - (1 + sqrt(17) + -1) - 5*sqrt(85)\/sqrt(245).\nAnswer: 142*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*i - 7 - 5, 4*d + 10 = -488*i + 491*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 311861*x = -311863*x + 61, -6*p = 3*x - 51 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-14) - (-149)\/2. Calculate the greatest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-4))\/14 + 0. Suppose 0 = 23*w - 699 + 584. Which is the fourth biggest value? (a) 4\/7 (b) -1\/5 (c) w (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11041522 (base 6) to base 13.\nAnswer: b827a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5888 = 4567*h - 4751*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2020 - 1420. Let i = 600.0000142 - d. Round i to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2 + 4. Let l be (c\/(-2))\/(9\/(-12)). Solve -s - 5 = -l*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:31 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 12*k, k + 1531 = 2*i - 3529. List the prime factors of i.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6948?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 4, b: 2, u: 6, h: 1}. What is prob of picking 3 g?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9541 take away 669606?\nAnswer: -669604.0459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) + -4 + -2. Suppose 56*c = 3062572 - 3062740. Sort -0.01, -2\/11, c, q in descending order.\nAnswer: -0.01, -2\/11, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4771*v**3*w + 11746*v**3 wrt w.\nAnswer: -4771*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/5 - 2312*y**3\/5 + 693116*y**2\/5 - 14419944*y\/5 + 77800338\/5.\nAnswer: 2*(y - 567)**2*(y - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + f - 1. Let b = 6 + 0. Let w(l) = 3*l**2 - 9. Let y(o) = b*d(o) - w(o). Factor y(h).\nAnswer: 3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 10, -18997*s + 18998*s = p - 16 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395389, -790755, -1186087, -1581367, -1976577, -2371699, -2766715?\nAnswer: -3161607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - 6*b**2 + 16*b**3 - 3*b**3 - 9*b**3 - b**2.\nAnswer: -3*b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8734749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(9) + sqrt(9)*-4))\/sqrt(10)*4.\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -4*h + 142, -37458*h - 14 = -37460*h - 2*m - 60 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*s - 72*s - 3*s**2 - 62*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -83562451 and 877874.\nAnswer: -82684577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(76))**2*3.\nAnswer: 12*sqrt(19) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -13 (c) -1\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 9*k**2 + 2. Let o be x(-9). Suppose 4*u - o = 2*z + u, -z = 4*u - 21. Suppose z = -9*j + 860. What is the highest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -48, -343, 46, -5 in ascending order.\nAnswer: -343, -48, -5, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 319480 - -114720. What is y rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34799 or 34798?\nAnswer: 34798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/178032 and 123\/296720.\nAnswer: 890160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from ewwwxeeebxbxbxww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 7*v - 1. Let d be k(4). Solve -11 = g + d*p, -g = -6*g - 3*p + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12097997 + 5?\nAnswer: -12097992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:22 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + q - 4. Let f be z(-4). Let r(x) = x**3 + 120*x**2 - 245*x - 111. Let s be r(-122). Let k(w) = 23*w - s*w - 13*w + f. Calculate k(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 1, 646, -1, -2 in decreasing order.\nAnswer: 646, 64, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 302*g**2. Let y(p) = 58*p**2 - 13*p - 52. Let k(z) = -9*z**2 + 2*z + 8. Let n(r) = -39*k(r) - 6*y(r). Give n(h(j)).\nAnswer: 273612*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-6))\/(3\/(-14)). Let t(g) = -g**2 + 8*g. List the prime factors of t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 2213 = -3*b, -2*b + 2217 = 5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 22*w + 31. What is z(-15)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20052.2 + -3\nAnswer: -20055.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 834632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34241240531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4048 + -0.0048. Let l be (-2)\/5 + 28\/45. Let h = 167.1 + -167. What is the biggest value in l, h, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdobdboxbdxdxbodxxs. What is prob of sequence xd?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 1\/4*d**4 - 2 + 0*d**2 + 11\/3*d**3 + 5*d. What are the prime factors of v(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7004.765ug?\nAnswer: 0.000007004765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 5*s + 4. Let k be d(5). Suppose k*w = -0*h + h - 18, -4 = -4*h - w. Suppose -h*l - 3 = -17. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2639\/2375 - -19\/125. Which is greater: 0.3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*j + 2 = 3*g, -4*g + 10 = 2*j. Let s(d) = 3*d + 1 - 4*d + 0 - 4. Determine s(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 51 + 21. Let j = h + -5. Calculate the remainder when j is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 4*x**2 - x - 5. Let k be m(-4). Sort k, -0.3, 0.\nAnswer: k, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -56 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*m + (-m + 2 - 2)*(-2 + 1 - 1) - 12*m - 19 + 19.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 2 - (-200 + 223)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -121. What is the units digit of c\/8 - (-1 - 46\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 1\/3, -0.4 in descending order.\nAnswer: 5\/4, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/15 + 12*r**3\/5 + 134*r**2\/15 + 12*r\/5 - 208\/15 = 0.\nAnswer: -13, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e + 4f1?\nAnswer: 4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -397053, 3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 1 + (-3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtlllxxldd. What is prob of picking 2 x and 1 l?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r**(1\/17)*r)\/r*r*r)\/r*r)**13\/(r*r**(-18))**(-30) assuming r is positive.\nAnswer: r**(-7773\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95373.30554 rounded to the nearest 1000?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1) - (40 - (-1600)\/(-40)). Let k be 2\/12*(-9)\/(-6). What is the closest to -6\/11 in r, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 14*t**2 - 27*t**2 - 6*t**2 + 38.\nAnswer: -49*t**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -14, -1228 in ascending order.\nAnswer: -1228, -57, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46886.44 hours?\nAnswer: 2813186.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(3*i - 3*i + i - 4*i + 4*i - 2*i - i - i + 3*i + 0*i - 3*i + i + (-2 - 2 + 6)*(4*i + 0*i - 5*i) - i + 4*i - i)*(-2*i - 4*i - 2*i).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 10. Let c(g) = -5 + g + z*g + 4 + g. Let d be c(1). Solve -d*p - p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -13)\/(49 + 12059\/(-248))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1941883 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2232217648?\nAnswer: 2, 103, 1354501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, u: 5}. What is prob of picking 4 l?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.641 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkppkszpomsz. What is prob of sequence pp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m + 16*m**3 - 15*m**3 + 12 - 22*m**2 + 13*m**2. List the prime factors of q(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2918335 divided by 7.\nAnswer: -416905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17831474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4 + 78*p**3 + 423*p**2 - 1092*p + 588 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23324081 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4691*k + 266*k + 753*k.\nAnswer: 5710*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, 129, 3 in descending order.\nAnswer: 129, 20, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.451*-7.\nAnswer: -3.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137299*a**5 + 192*a**2 + 94*a - 5 wrt a.\nAnswer: 8237940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1*-1)\/(((-65)\/364)\/(550\/110))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570290 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39490 and 4?\nAnswer: 39494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 725*c + 8589. What is y(12)?\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 63*d**3 - 5*d**2 + 80. Let q(g) = 64*g**3 - 6*g**2 + 79. Let a be (-1)\/((-22)\/10 + 2). Let p(n) = a*q(n) - 6*u(n). Differentiate p(t) wrt t.\nAnswer: -174*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 134780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -520579\/131 or -3974?\nAnswer: -3974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 3*(-6*(sqrt(30)\/sqrt(2))\/sqrt(5))**2 + -4).\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - 15 - 8*c**4 + 35 + (-c + c - c**2)*(-4*c**2 - c**2 + 3*c**2).\nAnswer: -6*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 5*b - 13 + 3, 2 = b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 144c (base 15) to base 8\nAnswer: 10373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 - 48*m**4 + 18*m**3 + 1848*m**2 - 1815*m = 0. Calculate m.\nAnswer: -11, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 + 80*i**3 + 1926*i**2 + 9396*i = 0.\nAnswer: -9, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(9\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-903)\/135 - -3) + -30*46\/12420?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 10*n - 14. Let t be k(10). Let b be (-32)\/t - (-18)\/(-63). Suppose -2*c = -4*c - 4. Sort 5, c, b in ascending order.\nAnswer: c, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-2))\/((-8)\/(-8)))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + 2*w**3\/3 - w**2 - 2*w + 72. Give i(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 5 + 4 + y. Let d(b) = 3. Let g(j) = j. Let x(w) = d(w) + g(w). Let h(r) be the first derivative of x(r). Give c(o) - 6*h(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -20. Is 3 a factor of -15*d\/(-9) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/33 and -53\/4222460?\nAnswer: 12667380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2269*r**2 - 312*r + 312*r + 171*r**2.\nAnswer: 2440*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 2, b: 1, u: 1, p: 1}. Give prob of sequence jup.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007713 rounded to 4 decimal places?\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18031066 - -504793785\/28. Let n = r + 2715. What is the common denominator of 65\/77 and n?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(95)*2*-3)\/(1*sqrt(320)).\nAnswer: -3*sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 + 17*d**3 - 9*d**3. Determine q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/15 - 12\/(-5). Let i be p*((-11)\/(-6) + -2). Let w = 0.1 - 0.1. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 10 = -7*b. Calculate the lowest common multiple of b and (0 - 2)*11\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10014 + -1763?\nAnswer: -11777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42\/24*-2 + 3 + 1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)\/((p*p**(-14)*p)\/p) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 3*y + 6398 + 305, 3339 = 4*x + y. What are the prime factors of x?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = 4*q - 6*y, q - y - 6 = 0. Suppose 5 = -2*i - 3*g, q*g - 10 = -0*i - 5*i. Solve -i = 4*f + f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1586 + -1579. What is the highest common factor of 343 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*m**5 + 37833*m**4 - 23394059*m?\nAnswer: 1460*m**3 + 453996*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1492 - -2416. What is the common denominator of 5\/2 and (-80)\/s*216\/(-30)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1202 - -1758. Suppose 4*v + 243 = 6*v + 5*p, -f = -4*v + 4*p. What are the prime factors of v?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 17 = 67. Sort 10, 5, l in decreasing order.\nAnswer: 10, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 + 7*s. Suppose 0 = 5*n + 4*n - 3*n. Suppose n = -6*k + 13 - 43. Let g be o(k). What is the highest common divisor of g and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, h: 4, u: 1}. Give prob of sequence uh.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 4. Let z(a) = -a**2 - 15*a + 76. Let f be z(4). Sort l, 3, f.\nAnswer: l, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = -196 + 63 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 18684. Let n(z) = -2*z + 22. What is n(f(i))?\nAnswer: -8*i + 37390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(6\/81))\/(225\/((-11625)\/(-155))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(65) + sqrt(65))*-3)\/(1*-2*sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 1 t when three letters picked without replacement from gmnthdd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/24 and -38\/24753?\nAnswer: 198024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxwsxwwqxmwmtx. What is prob of picking 2 m and 1 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-66) + 2)\/(16\/24).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39190728 to the nearest integer?\nAnswer: 6260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 7*k - 4. Let c(p) = 1 + p**2 + 0*p**2 - 7*p + 5 - p. Let o be c(6). Give h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 2*q + 0*q)*(-q - 3 + 4*q + 4)*(7 - 3 - 3) - 3*q**2 + 6*q**2 - 2*q**2 + (5*q - 2*q - 2*q)*(-15*q - 8*q - 3*q) as x*q + a + f*q**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0 + 3 = -4*u, -2*g = -2*u. Suppose 5*a = g*w - 425, -2*a + 415 + 45 = 3*w. Suppose 0*y - 38 = -y. What is the remainder when w is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:40 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*j = -0*x + 756, -3*x + 565 = j. Suppose -t = -0*t - x. Is (-1)\/(-4) - t\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77221916.\nAnswer: 2, 19305479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-604)\/4*(-5 + 4). Suppose 2*a - h = -u + 123, 0 = -2*u - 5*a + 545. Let c = u + -184. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1803, 2974, 4157, 5358, 6583, 7838, 9129, 10462?\n\"Answer: q**3 + 1164*q + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*i**4 - 12 + 9 + 14 wrt i?\nAnswer: 96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 46 = -2*t. Let a = t + 28. Suppose -131 - 19 = -a*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -18. Let g(q) = q**3 - 2*q**2 - 2*q + 4. Let x = -13 + 16. Let l be g(x). Calculate the greatest common divisor of p and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-41)*b*b\/(b\/b**(1\/4)) assuming b is positive.\nAnswer: b**(-159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 30260170?\nAnswer: 332861870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 38*z + 3. List the prime factors of n(2).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565.4987cm to nanometers.\nAnswer: 5654987000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1252 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 o when three letters picked without replacement from wdiiono?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 62 - 35 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:13 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.9 - 24.9. Which is the third biggest value? (a) q (b) 4 (c) 16 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 87 (b) 8 (c) -8 (d) 1 (e) 256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8802 - -8810. Which is greater: r or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*36\/4. Let q = -6 - h. Suppose -q*p - 3*y + 7*y + 1477 = 0, -p = -y - 492. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3469, 3468, 3467, 3466, 3465?\n\"Answer: -c + 3470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**2 - 2. Let q(c) = -28*c**2. What is q(a(d))?\nAnswer: -1792*d**4 + 896*d**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddy when three letters picked without replacement from ddddyydydddddd.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7037, -14058, -21069, -28064, -35037?\nAnswer: -41982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 7 + 5 + 4 + 1 - 3 + (-2 + 0 + 4)*(-2 + 3 - 6))*(-6*q**3 + 16*q**3 + 5*q**3) in the form y*q**3 + a + k*q**2 + x*q and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 101190*h - 6348 = 101328*h for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b57724 + -10?\nAnswer: 1b57714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 9*c**2 + 6. Let m be i(9). Suppose -m*q - 220 = -10*q. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2\/7, 16\/23, 0.8, -3 in decreasing order.\nAnswer: 0.8, 16\/23, 2\/7, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5139395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -34, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 257910.311 * 4\nAnswer: 1031641.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16581912 to the power of 1\/2, to the nearest integer?\nAnswer: 4072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from fzzgoehoehehz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -29. Suppose -12*q + g = -10*q. Is 10022\/8 - (-5)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-640)\/(-240) - (-124)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25\/26 (b) 0.03 (c) -2 (d) -1\/7 (e) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(833)*-1 + 4)**2 + -5.\nAnswer: -56*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756390 is divided by 8802?\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6)*4)\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1336, -2588, -3682, -4540, -5084, -5236, -4918, -4052?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29697184 to the power of 1\/2, to the nearest integer?\nAnswer: 5450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27755026699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 61*v + 21*v**4 - 2*v**5 + 57*v**3 + 75*v**2 + 12 - 13*v + 4*v**5 + v**5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 2*u**2 - 13*u**3 + 2*u**2 - 5*u**2.\nAnswer: -13*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -14*r + 9*r. Suppose 2*w - 8284 = -r*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k + 9 - 10*k - 2. Let h(a) = a - 13. Let v(c) = -5*f(c) - 3*h(c). Calculate the remainder when 15 is divided by v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, -141, -1.4 in increasing order.\nAnswer: -141, -3, -1.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 1478886*t - 182258650083.\nAnswer: -3*(t + 246481)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4782669149 + -36.4?\nAnswer: -4782669185.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*m = -15, 0 = 2*m - 5*m - 15. Let o(k) = 6*k - 3. Let p be o(6). Let v = -19 + p. Calculate the least common multiple of i and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145091130 rounded to the nearest 1000000?\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178371 is divided by 11144.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 7*u + 2. Let i(x) = -729 + 363 + 365 + 3*x + 2*x**3. Determine -3*c(l) - 7*i(l).\nAnswer: -5*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 54076. Let v(k) = -333*k**2 - 3*k. Calculate s(v(q)).\nAnswer: 666*q**2 + 6*q + 54076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248 - 232. Solve 0 = 3*z - 5*d - 22, 6 = -2*z - 4*d - i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(1*-1)*((-798)\/12)\/(-133).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*v**2 + 149*v - 81*v - 70*v + 261*v**2 + 188*v**2 to the form s*v + m + h*v**2 and give h.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591*(-255)\/(-7310)*(0 - (2 - 4))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Suppose 2*a - 160 = 5*i + h, -4*a - 125 = 3*i. Does 6 divide 8*1*i\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 232. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -18\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240175993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p + 0*p)*(-2*p**4 - p**4 + 5*p**4) + (p**3 - p**3 + 2*p**3)*((1211 - 2*p - 1211)*(-6*p + 4*p + 3*p) + 3*p**2 + 2*p**2 - 12*p**2).\nAnswer: -22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*z + 71*r**2 + 10*r*z**4 + r*z**2 with respect to z.\nAnswer: -r**2 + 40*r*z**3 + 2*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/20 - 3\/6. Let u = 47.5 - 47. Let z = -0.07 + -4.93. Which is the nearest to -1? (a) u (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -5 + 0 - (7 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718694648 rounded to 3 decimal places?\nAnswer: 0.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/(63\/147)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.19 + -26. Let h = 0.93 + f. Let a = -2.38 - h. Is a greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/6)\/((-1)\/9). Let t = r + -9. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/20 - 5\/25. Let u(o) be the first derivative of i*o**3 - 5\/21*o**6 - 2 + 0*o - 1\/7*o**4 + 2\/5*o**5 + 0*o**2. Factor u(w).\nAnswer: -2*w**3*(w - 1)*(5*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27718*g**2 - 1966*g + 387819426 with respect to g.\nAnswer: 55436*g - 1966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcnzczcncczcnzccncch. Give prob of sequence zzn.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -779.323 + 779. Sort 1\/2, -0.2, a, -0.4 in descending order.\nAnswer: 1\/2, -0.2, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3888135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -83.35 (c) 3 (d) -1 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 16*r - 10. Calculate the remainder when 309 is divided by c(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -6. Let l = -6 - t. Solve -3*j + 15 = 5*o, 7*j - 6 = l*j - 2*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2472 - 2360. Does 56 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 + (2 - -3) + 89. Suppose -44 - r = -6*u. Find the first derivative of -3*k - u + 4 - 12*k wrt k.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 12:09 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 11*r + 12. Let b(h) = h**3 - 6*h**2 - 4*h - 8. Let x be b(7). What is the tens digit of y(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211118311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21*g**2 - 3*g + 5. Give o(-3).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*d - 3968, -r + 1316 = -2*d + 3*d. Suppose -4*n - 660 = -2*s, -s - 3*s + 4*n = -r. What is the greatest common factor of 55 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15142*f*x + 379*x wrt f.\nAnswer: -15142*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -631 or -3220?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1106 and 3\/1580.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 + 4 - 3 - 2 - x + 4. Suppose 6*d = 12 + 6. Is i(d) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/2049, -0.1, 1\/5, -0.4, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4 + 104*h**3 + 16830*h**2 - 2658800*h + 92732875 = 0.\nAnswer: -151, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i + 16*i - 2805 - 3095 = 0. What is the highest common divisor of i and 8280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736496.\nAnswer: 2, 191, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 6. Let w be m(-6). Suppose d - w = -d. Find the second derivative of 2*s - s - 3*s + 0*s**5 - d*s**5 wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 21. Let z be g(13). Suppose 2*s - z = -1. Is s not equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032589442 rounded to 6 dps?\nAnswer: 0.003259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*f - 79608 = -110*f for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -10. Let z = j - -10. Let l = z + 10. Put l, -2, -1 in ascending order.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*2 + 3. Let m = -8722 - -8720. What is the second smallest value in l, -3\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 4*i + 40. Let f be 5 - 46\/8 - (-70)\/8. Calculate the greatest common factor of f and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7362.335 + -6866. Let d = x + -495. Let w = 0.115 - d. What is w rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 19. Let r be y(-4). Let a = r - 9. Does a = 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/3 - b**5\/60 + b**4\/24 + b**3\/6 + 3*b**2. Is 12 a factor of k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 18*g**2 + 66*g + 37. Calculate j(-21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-1 - (-10)\/4)*(-114)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76633.49 nanometers?\nAnswer: 0.07663349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -288718?\nAnswer: -288722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 242*o + 239*o = 140955, -56382 = -2*h + 3*o. Is h a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1584, -3184, -4784?\n\"Answer: -1600*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21475656?\nAnswer: 2, 3, 379, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-162)\/12))\/((-5)\/(-45)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 - 13*h**4 - h**3 + 13*h**2 = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) -0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -1\/4 (c) -3\/14 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38.5 or -630?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - s = s - 2, -5*s - 18 = b. Let t be (4 + -3 - 1 - b)\/(-1). Solve -t*h = -0*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 285 - 131 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 0.1 (c) -0.04 (d) -12 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11253, 22499, 33743, 44985, 56225?\n\"Answer: -v**2 + 11249*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -36. Suppose -4*b + k = -7. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -37*h**2 + 22*h + 17. Let f(b) = 13*b**2 - 7*b - 6. What is -6*d(a) - 17*f(a)?\nAnswer: a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**5\/20 + w**4\/12 + 2*w**3\/3 + 1. Let q(i) be the third derivative of z(i). Does 11 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 374832?\nAnswer: 374832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 * -1\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 0.4 (c) 0.5 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 128?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1241 and 1083529?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulll when four letters picked without replacement from luull?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-5)\/(-15)*-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 1186*v\/9 - 2396\/3.\nAnswer: 2*(v - 599)*(v + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Suppose -5*t + 20 = -0*t. Solve -w*u - 4*k + 21 = -4, 0 = -3*u + t*k + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*4\/2)\/((-64)\/160).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 15*b + 10. Let d be 42\/(-12)*(-2)\/(3\/3). Calculate the remainder when 989 is divided by v(d).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 6. Let u be i(12). Suppose -3128 = -u*v + 130. What is the remainder when v is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43864610 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 6. Let a be h(7). Let m(j) = j - 6. Let k be m(a). Suppose -k*u = -0*u - 180000. What is u rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*g**3*z**2 - 3*g**2 + 136*g*z**2 - 7*g*z wrt g.\nAnswer: 390*g*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 468\/7. What is the smallest value in -0.3, y, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5341))\/(8240\/(-201880))?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65947*q**3 - 566*q**2*t**3*z**3 - 4542903*q*t**3*z**3 - 3*q*t*z**2 - t**3*z**3 wrt q?\nAnswer: -395682*q - 1132*t**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/2 (b) 0.2 (c) 635\/3 (d) -0.4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 0.2?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5192980 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 37.043.\nAnswer: 14.8172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -47 + 27 + 23 - h. Let o(x) = 3 + 0 - 2 + 1. Suppose -5*w = z + 11, 2*z + 4 = -0*w - w. Give w*a(v) + 3*o(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1221011221011 (base 3) to base 4\nAnswer: 3322300213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6812200 and -25\/4.\nAnswer: 6812200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 171\/36*(-1 - 0 - 3)*-51. Calculate the highest common divisor of v and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 310\/75 - 8\/60. Let a(v) = -v**2 + 9*v - 21. Let h be a(x). Sort h, -15, -3, 2 in descending order.\nAnswer: 2, h, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1166731923 to the nearest integer?\nAnswer: 34157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(6\/54 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-26)*(f**(-6)*f*f)\/f)\/(f**(1\/4)\/f**(-6)))**27 assuming f is positive.\nAnswer: f**(-4023\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z + 2*z - 198. What is the greatest common factor of z and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 271461\/369 - 1\/(9\/(-3)). What is the greatest common divisor of 920 and j?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -218781593 - -459441354781\/2100. Let w = l - -12\/175. Find the common denominator of w and 15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 8*o**2 - 9*o - 29. Determine h(-7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 + -2?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 644966976 rounded to the nearest 1000000?\nAnswer: 645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*q - 123*q - 59*q + 42*q.\nAnswer: -211*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 162012.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(-1 + 1 + 3)*(10*i**3 - 9*i**3 + 42*i**3)*(-11*i - 18 + 18) as u + s*i**3 + x*i + z*i**2 + b*i**4 and give b.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**3 - 14*w**2 + 10*w + 44. Let f(i) = -i**3 + i - 2. Let q = 38 + -44. Let l(g) = q*f(g) - d(g). Solve l(c) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 244?\nAnswer: -1\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52500*r + 40104*r + 7219*r + 454*r + 1971*r.\nAnswer: 102248*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bihh. What is prob of sequence hhb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 36629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1892, 2852, 3826, 4814, 5816?\nAnswer: 6832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + 4 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-1\/9))*z*z\/(z*(z**6*z*z)\/z)*z**(-3\/5)\/((z**(-2\/11)*z)\/z)*(z**(-6)\/z*(z\/z**(-3\/7))\/z)\/(z**5*z\/(z\/z**(3\/2))) assuming z is positive.\nAnswer: z**(-134293\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Suppose l*w - 5*w = -312. Round w to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, o: 1}. Give prob of picking 1 o and 1 w.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723002504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 - ((1 - -2) + -390 + 384).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1748504, 1748504, 1748502, 1748498, 1748492?\nAnswer: 1748484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(0 + 0 - w) - w + 0*w - w - 5*w + 2*w + w + 4*w - 3*w - 3*w + 2*w + 2*w - 3*w + 178*w + 606 - 606.\nAnswer: 172*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71309 + -36919. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.983 + -1.017. Sort -0.3, z, -0.4 in ascending order.\nAnswer: z, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 374*x - 372*x = -8*l - 342, -7 = l - 3*x for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(15 - (27 - 13)). Which is bigger: -37\/64 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -0.87?\nAnswer: 6.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - 206*t**2 - 71*t - 9. Is o(70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 82 + (-19 - (0 - 17)). What is the greatest common factor of q and 3580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38134, -76461, -114788, -153115, -191442?\nAnswer: -229769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2881973*y**2 - 6347026?\nAnswer: 5763946*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, y: 9}. Give prob of picking 2 t and 1 y.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2. Let z be 6 + 19 - (i - -3). Suppose -2*x + 61 - 10 = 3*r, -3*r = x - z. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3 - 11, 5*l + 2*x - 28 = 0. Suppose l = -5*b - 4*q, 11*q = 2*b + 9*q - 2. Solve b = -3*w + 22 - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.134 and 0.05?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4130310 and 7043853?\nAnswer: 2606225610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/15*(-56)\/1568*(-2)\/5?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:29 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -1.8. Which is the second biggest value? (a) l (b) 5 (c) 0.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 312*i**2 - 2*i - 1. Let c be g(-2). Let w = -520 + c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 9115 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0043 * -0.0039.\nAnswer: 0.00001677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81107 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 546742419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.95 + -0.05. Suppose 3*h + 27 - 6 = 2*g, -5*g = 4*h - 110. Suppose 4*o - 16 = -2*u, o = 4*u + u - g. Which is the biggest value? (a) k (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 3*y - 2*y)*(-y + y + 3*y**4) + 12*y**5 + 3*y**5 + 8*y**5.\nAnswer: 26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22c5d68 + 4?\nAnswer: -22c5d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - -3 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161473385.\nAnswer: 5, 43, 331, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -h + 26*h. Let l(y) = -y**2 + 1. Let p(d) = -80*d**3 + 8*d**2 + 2. Let v(b) = h*l(b) - p(b). What is the third derivative of v(k) wrt k?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 19?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = -4*k. Let g be (2\/(-2) + k)*1. Solve -12 = -0*i - g*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x + 12. Let h(j) = 20 - 8 - j - 13 + 2*j. Let w(a) = c(a) + 6*h(a). Determine w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 1, 4, 25042, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(1 - c**4 - 1) - 6*c**4 + c**4 - 1 + 3*c**4)*(0 + 3 - 4).\nAnswer: c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -0*z. Let w(b) = z*b**3 - 3*b**2 + b**3 + b**2 - 1 - 41*b + 43*b + 0*b**2. Let o = 2 - 1. Calculate w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*o + 2*q, 2*q - 22 = -2*o - 2*q. Suppose o*a + 3*g = 33, -3*a = -2*a - 2*g - 23. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*y)*(-1 + 0*y**2 - 1 + y**2)*(-14*y - 5*y + 4*y).\nAnswer: 45*y**4 - 90*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3497575*o + 552 = 3497621*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003739666 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2090316643?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 554 + -563. Let i be (-44)\/11*r\/24. Factor 0 - 9*a - i*a**2.\nAnswer: -3*a*(a + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 14*i**2 + 15*i + 29. Is r(-15) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*r - 528 = -220*r - 229*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*(u*u\/((u\/(u*u**(2\/5)))\/u)*u)\/u)\/(u**(2\/29)*u**(1\/23)\/u) assuming u is positive.\nAnswer: u**(-5711\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -45138 and -45108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {v: 2, k: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 911\/8 - 114. Let r be (1\/(-2)*-3)\/(-3). Suppose -d + 2 + 0 = 0. Which is the second smallest value? (a) k (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**5\/20 - 7*m**4\/12 - 13*m**3\/6 - 5*m**2\/2 + 98*m. Calculate the least common multiple of d(9) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -3433\/5 in increasing order.\nAnswer: -3433\/5, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190385 is divided by 1511.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**5\/20 - y**4 - y**3\/6 + 15*y**2\/2 - 11*y - 13. Let q(w) be the first derivative of c(w). Determine q(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698614161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5372879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2154785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 5*v - v + (0*v - v + 4*v)*(3 - 2 - 2) + 3*v - 2*v + v)*(4*v**2 + 3*v**2 - 6*v**2) in the form n*v**3 + g + d*v**2 + y*v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 42 = -4*a. Suppose -r + a = 1. Suppose 4 - 3*u**5 - 9*u + 6*u**3 + 15*u**2 - 1 + r*u**5 - 9*u**2 - 9*u**4 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.052 + -0.052. Let r = 34.999968 - v. What is r rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 266*n**3 - 271*n**3 + 6*n**2 - 3*n**2.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*q = -147*q + 45. Let l be 0 + 1 - (-7 - -25)\/q. Sort -21, l, 4 in descending order.\nAnswer: 4, l, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 79\/158 + (-10)\/(-4). Let y(d) = d**2 + 2. Let x(v) = -2*v**2 - 3. Give u*y(o) + 2*x(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a meter in centimeters?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 25*w = 0. Solve w = -c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37392 - -37408. Solve -14*b + 29 = -4*u - 11*b, 3*b + i = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4848, -3066, -96, 4062, 9408?\n\"Answer: 594*c**2 - 5442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*w + 78 - 78.\nAnswer: 603*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(80)*2) + sqrt(104)\/(sqrt(48)\/sqrt(6)*-1))**2.\nAnswer: 637\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.5 + -0.5. Let f = v + 4. Let w = -7 + 6. Which is the second smallest value? (a) w (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2501144\/7 greater than -357305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 5*m - 297 + 238, -7*m = 3*v + 45 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 32. Suppose 0 = 127*p - 109*p - 144. Is p at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 20 - 1. Suppose 2*g - 2*y - 1054 = 0, -8*y + s = -5*y. Let x = g - 292. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:33 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12814*d - 1421*d + 17294*d.\nAnswer: 28687*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5677\/22 + 258. Let n = 28 + -28. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 5*v = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273891472?\nAnswer: 2, 17118217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.301 and 293.\nAnswer: -88.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 3\/(390\/290). Which is greater: 8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsgs when four letters picked without replacement from {w: 2, s: 3, a: 2, g: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-350)\/8 + (-1 - (-9)\/12). Let c = y + 598. What are the prime factors of c?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (3 + 9))\/((-3)\/57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 3. Let t(u) = u. Determine t(f(b)).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3675611 by 41299.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4470 (base 11) to base 2.\nAnswer: -1011011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 0.54, -5, 1082, 2 in decreasing order.\nAnswer: 1082, 2, 0.54, -6\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4055718115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -3\/17 (b) 5 (c) -2\/19 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -45*g - 399. Calculate d(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Suppose 2*i = -f*i. Suppose 0 - 4\/5*g**4 + i*g**3 + 2\/5*g - 2\/5*g**5 + 4\/5*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1052300 (base 7) to base 16.\nAnswer: -1fdb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*r + b - 15, r - 3 = -2*b. Is -2 + 3 - (r - 2)\/1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*w. Suppose -78 = -w*u + 3*c, -173 = 3*u - 8*u + 2*c. Suppose 0 = 2*n - 45 - u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51\/7 + -7. Is 1\/204 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.0042082 months?\nAnswer: 0.16701735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*s. Suppose 0 = -v - s*v + 64. Solve -5*y + y + v = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14)\/(t*t**(2\/27)*t))\/((t\/((t*t*t**1)\/t))\/t*t*t*t**(3\/23)*t) assuming t is positive.\nAnswer: t**(-10684\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 11. Determine s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1425.477 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Suppose 0 = 6*p - 2*p + 4*a - 68, -p + 8 = w*a. Suppose -v = -j - 4, 3*j + 68 = v + 70. Calculate the remainder when p is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11163 in 0.3, 1\/11, 2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 560162969 and 628.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73039265 divided by -109.\nAnswer: -670085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3375758, -3375761, -3375764, -3375767, -3375770?\nAnswer: -3375773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71021014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -75\/2986 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105.3 * 3.\nAnswer: 315.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11877195, -47508766, -106894719, -190035054, -296929771, -427578870?\n\"Answer: -11877191*s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d - 982?\nAnswer: -9ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 38*d**2 + 4214*d - 1682. Let v(t) = 62*t**2 + 4214*t - 1681. Let r(j) = -2*v(j) + 3*z(j). Factor r(h).\nAnswer: -2*(h - 421)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnszsnznsszsnsn. What is prob of sequence nnsn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 4. Let c be f(-3). Let q = c - -4. Let x(s) = 2*s**2 + 4*s + 2. Calculate the remainder when x(-3) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p = 400*p - 43*p - 8275 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -5*d + r - 4*r, -3*d + 258 = r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 3 + -5)*2\/(-3). Solve -3*m + 15 = -j + h*j, 4*j = m - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v + 74. Let l be i(7). Solve 7 = l*a - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 f, and 1 v when four letters picked without replacement from {a: 1, v: 1, f: 2, u: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 4 = 0. Let x be p + (2 - 2) + 8. Find the first derivative of 10*j**3 - 7*j**3 + x*j**4 - 3*j**3 + 1 wrt j.\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**4 - t**3 - 3*t**2 - t + 1. Let n(d) = 4*d**4 + 99*d**3 + 7*d**2 + 2*d + 142. Let k(f) = -2*m(f) - n(f). Find the third derivative of k(j) wrt j.\nAnswer: -48*j - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/3 + 52*o\/3 - 50\/3 = 0. Calculate o.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - 0 - (4 + -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -202300 (base 5) to base 8\nAnswer: -14657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.94 + -17. Put -4\/3, 3, z in increasing order.\nAnswer: -4\/3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*s + 160*s - 142*s + 58*s + 98*s - 13*s**2 to the form u*s**2 + q + t*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 324. Let b = 135 - d. Let x = b + -32. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f + 152. Let z(b) = 13*b + 136. What is -4*g(w) + 5*z(w)?\nAnswer: 13*w + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-215)\/(-6751))\/((-7 - -6)*(-4 - -9)).\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 17630 = -10*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.071320332 + 226.071320632. Let g = x + -221. Round g to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7815045 minutes to microseconds.\nAnswer: 46890270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2304 is divided by 60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11099648.\nAnswer: 2, 7, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-40)*(-50)\/90. Let j = 2.09 + -0.09. Let l be 12\/48 + 13\/4. Which is the biggest value? (a) j (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34201143 (base 5) in base 4?\nAnswer: -1022003002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 8*h**2 - 8*h - 4. Let p be s(-7). Suppose 0 = -p*t - 4*d + 24, 0*d - 3 = -3*t + 3*d. Solve 5*r - t = 6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.228 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63453 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j - 6028638 = -159*j + 618072. List the prime factors of j.\nAnswer: 31, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*d = -227*d - 17825 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 523873 and 523873 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j**4 - 4810*j**3 - 188835*j**2 + 2028940*j - 3263820 = 0. What is j?\nAnswer: -818\/3, -57, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -25. What is the remainder when 33 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 8:55 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81272 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5754 - -10395. Is 60 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(176) + (sqrt(176) - (3*sqrt(176) + 3)) + sqrt(176) + 5*(1 + sqrt(176))))**2.\nAnswer: 17280*sqrt(11) + 951264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + v**3 + 33 - 9 + 2*v**2 + v to the form q + j*v + u*v**2 + x*v**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3489 is divided by 1157?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1 (c) 0.4 (d) -4\/9 (e) 154\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 + -469\/4. What is the closest to p in -4, 4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 115. Suppose -5*n = h*x - 54 - 46, -3*n + 60 = -4*x. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*n**5 - 693*n**4 + 3594*n**2 - 37 wrt n.\nAnswer: -600*n**2 - 16632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*q = 89*q - 310092 - 179952. List the prime factors of q.\nAnswer: 97, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w - 18487 = -53287. Suppose -w = -o + 5*x, -3*o + 3337 - 1195 = 3*x. What are the prime factors of o?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkdkkkddk.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (0 - 0) - 0. Let d be 2\/w - (-2)\/4. Suppose 10 = 3*o + 2*u, -o + 2*u = 7*u + 1. Solve o*f = -5 + d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = 1. Let u(j) = j**3 + 6*j**2 + 7*j + 7. Let p be u(o). Let k = -162 + 813\/5. Put k, p, -1 in ascending order.\nAnswer: p, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 4. Let s be l(-6). Find i such that -2*i**2 - 2*i + 0*i + 4*i**s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b - 2. Let u be l(-1). Solve 0 = -2*k - 3 + u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus 0.241?\nAnswer: -12.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2673 (base 9) to base 16\nAnswer: -7da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -105710445 divided by 3?\nAnswer: -35236815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552821863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 64 + 721 = 3*h, -h - 3 = 0. Let y = 979 + i. Let q = 1076 - y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/10 - (-1 - 2) - (85728\/(-380) + 131)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -56. Let g = -3 - -2. Sort n, g, 2.\nAnswer: n, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 39. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 + 11*s**3\/3 - s**2\/2 - 10*s + 2746. Determine g(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 4*l - 6*l)*(-1 + 12*l + 1)*(-192 - 232 + 232) in the form z*l + q*l**2 + s and give q.\nAnswer: 16128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 16*g**2 + 23*g**2 + g**2.\nAnswer: 47*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 15. Suppose h = -4*h - 10. Let s = h + x. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823850489 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -2. Let h(t) = -2*t + 6 + 4*t + 4*t**2 - a. Is h(2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 2*p - 3. Let a = -29 + 53. Calculate the remainder when a is divided by x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127112300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(3\/(-3) - 0). Let b be (3 + 1)\/(-2) - v. Let k(p) = -6*p + 1. Is k(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.456378 months to millennia.\nAnswer: 0.0015380315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -232351 (base 9) in base 14?\nAnswer: -38bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2621477\nAnswer: -262147.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p - 2*p - p - 1 - 2*p**4 - 4*p - 5*p**2 in the form u*p**4 + a*p + m + y*p**2 + w*p**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)*m**(1\/15)*((m\/((m*m**(-3)*m)\/m)*m*m)\/m)\/m*((m*m**(-3\/19))\/m)\/m assuming m is positive.\nAnswer: m**(-1736\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 505255562 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5 = -10*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:47 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17088 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126105 and 693.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5558, 5610, 5674, 5750, 5838, 5938, 6050?\n\"Answer: 6*v**2 + 34*v + 5518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 8. Let g = 6.82 - -0.18. Let q = 9 - g. Which is the second smallest value? (a) -2\/15 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.50221 millilitres?\nAnswer: 0.04650221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-20))\/((-1)\/((-6)\/(-6)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 4. Let z be 22\/12 - (-14)\/84. Let n be f(z). Suppose 0 = -8*x + n*x. Solve -2*r - 19 + 2 = 3*d, r + 2*d + 10 = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 73 - 21*q**3 + 3*q - 3*q + 2*q**3 + (0*q**2 - 3*q**2 + q**2)*(6*q - 4*q - 4*q) + 3 + 2*q**3 - 3)*(-9*q + 2*q - 28*q).\nAnswer: 455*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a millennium?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*(-6)\/27*(-78)\/(-416)*-12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 5*d - 12. Let p be t(-2). Find the second derivative of -9*f + 2*f**2 - 20*f**3 - 2*f**p - 7*f**3 wrt f.\nAnswer: -162*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/6*(-18)\/(-24)*-4. Let x = -47 - n. Suppose -270 = -x*k + 90. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*p**2 + 14*p**3 - 81*p**2 + 14*p wrt p.\nAnswer: 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/(2\/4). Let a be 34\/(-10) - n\/5. Let s(z) = -2*z**2 - 4*z + 8. Let x(w) = -5*w**2 - 11*w + 23. Let u(m) = a*x(m) + 8*s(m). Determine u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -7 + 29 + -41 + 2 + 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/942482 and -41\/2.\nAnswer: 942482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24850?\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-1275))\/((-12)\/(-36))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 - -576. Suppose -h = -3*l - 0*i + 4*i, -5*l + 660 = -3*i. Suppose -3*y = -306 - l. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1466, 1887, 2308?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-3\/2)*r**(1\/4)\/r*(r**(-3\/2)*r)\/r**0*((r**(1\/10)\/r)\/r**2)\/(r**(-1))**(-1\/11) assuming r is positive.\nAnswer: r**(-383\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -99300.\nAnswer: -158880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*c = -20, -3 = 4*r - c + 28. Let z(s) = s**3 + 5*s**2 - 9*s + 5. Let w be z(r). Let h = w + 22. Is h greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 24\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 165 = 5*w + 21, -w - 145 = -3*y. Suppose y*f - 61*f = -84. Solve f*a - 3 = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2217\/66510)\/(((-36)\/32)\/9)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (14 - 25) + 12 - -15.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, -2\/109, 1\/4?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 72770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/267 and -70\/9.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09999953 + -0.1. Round x to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + r)*(-2*r + r + 6*r) + (-2*r - 4 + 4)*(3 - 3 - r) + 3 - 3 + 9327*r**2 - 8806*r**2.\nAnswer: 518*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(11)*2 - 4*sqrt(99))**2 + 4 + 5.\nAnswer: 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 243 - 240. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -0.794?\nAnswer: -19.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-116 - -105 - (0 + 0)) - -10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16598 + -16502. What is the remainder when 4702 is divided by t?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3158 + 28358\/9. What is the common denominator of g and 49\/19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2072 = -262*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -845*x**2\/2 - 196820*x - 22921960.\nAnswer: -5*(13*x + 3028)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwkwwwwhwh. Give prob of picking 4 w.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j**2 - 17*j. Let v(c) = -1 + 4*c - 3*c**2 + 1. Let g = -258 + 256. Let w = -24 - -15. What is g*p(h) + w*v(h)?\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 + (952\/(-104) + 10)*13. Is -86\/97 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 101 - 127 = 0. Let w be (-1)\/(-3)*a\/4. Suppose -i = -4*r - 10 + 27, 5*r + i = w. What is the greatest common factor of r and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + -5a?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975434, -1950871, -2926308, -3901745, -4877182?\nAnswer: -5852619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 6*a = 19*i + 72, 0 = -i - 3*a + 21. Solve -29*q = i*q + 413 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, 3, 1, -5 in ascending order.\nAnswer: -18, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-6 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -121.\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 288\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**2 - 205*y + 2090 = 0.\nAnswer: 19, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 4*h + 0*h**2 + 14\/3*h**3 - 4. Find the first derivative of y(r) wrt r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**4 + z**3 - z**2 - 4*z**4 + 12*z**4 + 2*z - 1 + 5*z**4 - 1 as t*z**4 + u + r*z**2 + j*z**3 + v*z and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 73815 (base 9) to base 3\nAnswer: 2110220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 5:34 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -5.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2130795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11919749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 19*u - 540. What is the smallest common multiple of u and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11541205 (base 8) in base 7?\nAnswer: -30406505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 11*k**2 - 300*k + 556. Give u(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let p(n) = -12*n + 47. Let c(q) = -6*k(q) - p(q). Let l be c(10). Let v = 13 + -1. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7851 to two dps.\nAnswer: -2.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*o, -4*o + 15 = 2*s - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*(-22396)\/1527*-33?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/283841513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -245, -247, -249, -251?\n\"Answer: -2*f - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -4*q - 3*t, t = 2*t - 1. Suppose 3*n - 4 + 34 = f, -3*f + q = -2*n. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 40. Calculate the remainder when p(0) is divided by 103\/5 - 2\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -331333 - -140?\nAnswer: -331143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58780 by -5.\nAnswer: -11756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 8. Let z(r) = -r**3 - 2*r**2 - 2*r - 5. Let j be z(a). Suppose 0 = -j*m + 13*m + 3. Let l(s) = -9*s**2 + 1. What is l(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*v + v + 94, 3*x - 4*v = 242. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -21 + 11 - 24 + 22*c - 13*c. Let f be g(4). Solve f*i + 5*y = -4 - 5, -4*y = 5*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2180 = -2*w + 7*w. Suppose -w = -2*b - 5*o, -o - 563 = -4*b + 309. Calculate the remainder when b is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 2. Let j be ((-15)\/(-9))\/(l\/(-12)). Let t = j + 39. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 + -88. Let c be (-3)\/(-4) + 3\/(m\/(-140)). Let w(h) = h**2 + 8*h + 6. What is w(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*d**3*w**2 + 631*d**3*w - 44*d**3 + 20*d**2*w**2 - d**2*w + d**2 + 3840 wrt d?\nAnswer: -144*w**2 + 3786*w - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 20*i**3 - 4*i**2 + 4*i - 4. What is k(2)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - (-221)\/(-65))*20\/18. Let b(c) = -2*c**2 + 2*c + 3. Let i be b(-5). Sort g, 0, i in ascending order.\nAnswer: i, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -31219*q**3 + 5*q**2 - 50*q - 10. Let n(c) = 15610*c**3 - 2*c**2 + 20*c + 4. Calculate 5*n(d) + 2*o(d).\nAnswer: 15612*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63521 - 63516. Let f(h) = 1 - 2*h - 4 + 5. Calculate f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.38 + 0.78. Suppose 3*n - n = -8. Let u = 36 - 36.1. What is the fourth biggest value in 0.3, u, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)\/(j*j**(-6))*(j*j\/(j**(-10)\/j*j))\/j**(-8) assuming j is positive.\nAnswer: j**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 5. Let m(l) be the second derivative of l**3\/6 - 8*l. Let h(k) = 3*m(k) - w(k). What is the units digit of h(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(55)\/sqrt(125))*6.\nAnswer: 6*sqrt(11)\/5 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 3, e: 1, n: 5, h: 1}. Give prob of picking 2 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 7*m**2 + m - 10. Let w be c(7). Let t(x) = x**3 + 5*x**2 + 4*x. What is the units digit of t(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -1 + sqrt(832) + 2)**2.\nAnswer: 20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeleeeeee. What is prob of picking 2 e?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*z + 336 = -149*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i - 66*i - 5837 = -2*i + 818 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279\/16 - 853\/48. Which is greater: -147 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*-2*(-2)\/8. Let d = x + 7. Which is smaller: d or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1040 - -1042. Solve 5*m + 13 = 2*a, -o*a + 5*m - 2*m + 11 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 minus -4243?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*1\/10)\/((-105)\/(-50))*(-45)\/9.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and -1497?\nAnswer: 434.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6 + 4*y - 2*y**2 + 2 + 6*y**2 + 0*y**2. Let o be w(-4). What is the greatest common divisor of o and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*c + 2, -4*c - 4 - 2 = 3*p. Let l(g) = c - 6 + 3 + 2 + g**2. Does 8 divide l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 15*k + 88. Suppose k = 7*a - 6. Solve 4 = 2*w + a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -0.02, -0.1 in descending order.\nAnswer: 2, -0.02, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 29*i**2 - 99*i + 2. What is h(25)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*i**5*p**2 - 3*i**4*p**2 - 2*i**2*p**2 - 15*i**2 + 27*i*p wrt i?\nAnswer: -18240*i**2*p**2 - 72*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/7 - 556*n**3\/7 + 49904*n**2\/7 - 1478100*n\/7 + 1428750\/7 = 0. Calculate n.\nAnswer: 1, 75, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/12 - 11*z**3\/6 + 13*z**2\/2 + 857*z. Suppose -4*r + 18 = 66. Calculate o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -913913160 divided by 15231886.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/2, -0.4, -12, 23, 31\/4 in decreasing order.\nAnswer: 23, 31\/4, 1\/2, 0.4, -0.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -98?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 17. Let u be h(11). Suppose u*m = 87 + 53. Let j be (4\/m)\/(3\/(-6) - -1). What is the biggest value in j, -1\/8, -0.5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/5 (b) -3 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-20) - 97\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15703 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.4, -1238\/9, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(10\/3)*y**(-2\/61) assuming y is positive.\nAnswer: y**(-433\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 g when four letters picked without replacement from {m: 3, g: 1, d: 2, l: 6}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 3, u: 1}. What is prob of picking 1 n and 3 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.4 + -8. Let g be (2\/20)\/(10\/(-25)). Which is the second biggest value? (a) z (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 6*z - 1. Let b be v(-6). Let h be (2\/4)\/(b\/74). Let y = h - -68. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 14*q + 16. Let g be v(-13). Suppose -x - 3*x = 5*o + 373, -g*x + 3*o = 246. Let f = -61 - x. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*8\/(-16). Let w = -0.2 + -4.8. Which is the closest to t? (a) w (b) 1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11 - 3 - 1 + 8*s.\nAnswer: 8*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 19*t - 7. Let d be o(10). Let y = 1331.5 + -1331. Sort d, -2\/103, -2\/3, y in decreasing order.\nAnswer: d, y, -2\/103, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:40 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -312*k - 473. List the prime factors of r(-8).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/12)\/(h*h**(-12))*(h*h*h*h\/(h\/(h**13*h*h)))\/(h\/(h\/(h*h*h**15))) assuming h is positive.\nAnswer: h**(143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 661 + -470. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.0075 nanometers in meters?\nAnswer: 0.0000000440075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1373190181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1240 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 6. Let z be k(3). Suppose g - 5*u + 184 = z*g, -g - u + 95 = 0. Let i = g - 62. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-4*4\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*o - 23, 3*p - 22 = 2*o - 0*o. Suppose -3*f + 14 = h - 7*f, -p*f = h - 6. Suppose -4 + h = 3*w. Solve -b = -w*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107.5 - 259. Let n = j - -94. Let d = -20 + n. What is d rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*g + 205*g = 90. What is the nearest to -0.2 in 3\/4, g, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1634771 and 4250.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -5\/6 (c) -3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/35)*n**(6\/19) assuming n is positive.\nAnswer: n**(267\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w = 51*w + 5*n - 338465, 5*w + 4*n = 338465. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - a**3 + 2*a**3 + (a**2 + 3*a**2 - 2*a**2)*(2 + 2*a - 2) + a**3 + 0*a**3 + a**3 + (0*a**2 + 0*a**2 - a**2)*(-7*a + 9*a + 11*a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Suppose x = -5*n + 17 - 2. Let k = 9\/2 - 4. Which is the closest to 1\/2? (a) n (b) 2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 28 = -5*u, -2*w + u = -3*u - 8. Let l be ((-2)\/(-4))\/(w\/576). Let r = l + 119. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -644400?\nAnswer: 644382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -150837 and -150890 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148 + 6*k**2 - 148)*(-3*k**2 + 0*k**2 + 5*k**2) - 3 + 3 + k**4 + 221 - 2*k - 221 - 2*k**4.\nAnswer: 11*k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370218 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 20*o**3 + 2*o**2 - 2*o + 1. Let h be a(1). Let u be (-6)\/h - (-10)\/35. Let s = -3 + 2. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2131801946?\nAnswer: 2, 227, 1697, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 939104788 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 - 8*p - 4. What is i(-5)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 857, 1700, 2543, 3386, 4229?\n\"Answer: 843*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5248344 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33296033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -30\/911137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d + 2924. Let t(h) = -h - 1453. Calculate -3*r(w) - 5*t(w).\nAnswer: -w - 1507","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 13)\/(1 + 1). Let b be 0 + 1 + y + 2. Let c = b + -3. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6009 - -52857. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380.053 hours in seconds?\nAnswer: 26568190.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13000 + 13099. What is the greatest common factor of 39 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 32 = -2. Let f(s) = 13 - 7*s - 2*s + s**3 + 4*s - 8*s + 3*s**2. Is f(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 6*s - 3*s + 3*s as j + x*s and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 3\/11, 1 in descending order.\nAnswer: 1, 3\/11, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 4. Suppose -2*q + 3*t = -164, 4*q - 187 = 3*t + 141. Let w = 88 - q. What is b(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1325c - -5c7?\nAnswer: -12965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose n*l - 4 = l. Let k(m) = 45*m - 1628. Let a be k(36). Sort l, -4, a in ascending order.\nAnswer: a, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3 to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*g**3*m**3*w**2 - 31*g**3*m**2 - 2*g**3*w**2 + 3*g**2*m**3*w**2 - 3*g*w**2 wrt m.\nAnswer: 504*g**3*w**2 + 18*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1243*f**3*i**2 - 2*f**3*i + 2*f**2*i**3 + 117*i wrt i.\nAnswer: -2486*f**3 + 12*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13680787?\nAnswer: 37, 369751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16176034201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 2.05. Let t = -3.9 - -4. Let o = t - 1.1. Which is the closest to 3? (a) o (b) m (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/3 - 2*t**4\/3 - 14*t**3\/3 - 8*t**2\/3 + 13*t\/3 + 10\/3 = 0. Calculate t.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 7*r - 40*r)*(-6*r + 22*r + 0*r) to the form h*r + b + a*r**2 and give a.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 + 108*w = 0. What is w?\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1581, 1583, 1585, 1587, 1589?\n\"Answer: 2*o + 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/4 + 6*z**2 + 3*z. What is the derivative of h(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192385 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -10*c + 43. Suppose 6 = -3*a + 5*a. Solve a*m + m = c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 13776 = 2*r. What are the prime factors of r?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let p(j) be the first derivative of 7*j**3 + 14. Determine n(p(c)).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + -4 + sqrt(1331) + sqrt(1331) + -2)**2 + -4 + 0.\nAnswer: -616*sqrt(11) + 5516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 2:16 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 594731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8259453 and 582.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -103757 and -6.7614615.\nAnswer: -103763.7614615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 times 75835?\nAnswer: -75.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99)*1 + sqrt(99))*-6)\/(sqrt(63)\/(sqrt(7) + sqrt(112)*-4 - sqrt(7))).\nAnswer: 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 + 5*j**2 - 2*j**2 + 2*j**2 as q*j + l*j**2 + s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2\/5 + 39*k\/5 + 42\/5 = 0?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 2246303.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/3 - 11*y**3 - 30*y**2 = 0.\nAnswer: -30, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 175242 bigger than 1577165\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -87. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**2 + 5. Suppose -3*t = -5*c + 9, -2*c = -5*t - 0*c + 4. Let i(u) = -15*u**2 + 10. Let q(g) = t*i(g) - 5*m(g). Find p, given that q(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**2*u**4 - 76721*d**2 - 2298*d*u**4 wrt u?\nAnswer: -12*d**2*u**3 - 9192*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/41)\/(b**(7\/8)\/b)*(b**(-2\/13))**(1\/7) assuming b is positive.\nAnswer: b**(4531\/29848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/294 and 121\/55026.\nAnswer: 2696274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 46*o - 79. What is d(-40)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 - 1 + u - 16*u**2 + 11*u**2 - u**3. Let b be (-3)\/1*2\/(-6). Determine d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-21)*(-9)\/(-2). Let j be y*4\/36*15. Sort -3, j, 0.\nAnswer: -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 116*i**2 + 292*i - 694. Is j(115) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 6. Let r be z(3). Suppose -r*d - 3 + 30 = 0. Let s be 8\/4*(-3)\/d. Which is the nearest to s? (a) -3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515576483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 5 - 8)*((3*a + 3*a - 4*a)*(0 - 3 + 4) + (0 - a + 0)*(1 - 1 - 3) + 26 - 26 + a)*(0 + 0 + 1) to the form p*a + o and give p.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1 + 0 + 2*j. Let n(b) = 4*b. Let h be 0\/1 + 2 + -3. Let x be (-2 - -3 - 2)*h. What is x*n(k) - 2*v(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 + 197. Sort 0, t, 9 in descending order.\nAnswer: 9, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h - 5*h + 4*f, -4*h = 2*f - 26. Suppose 0 = h*s - 687 + 35. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.4194729 to 1 decimal place.\nAnswer: 122.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdtrgkvd. What is prob of picking 1 t and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1985, -3440, -4653, -5624, -6353, -6840, -7085?\n\"Answer: 121*q**2 - 1818*q - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d + d - 4*d)*(4 - 4 + 2*d)*(9 + 19 + 30) as s*d**2 + c*d + b and give s.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*r + 24 = 0, -2*c + 0*r = 4*r + 36. Let y = c - -19. Is y greater than or equal to 4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/19560645 and 127\/23472774.\nAnswer: 117363870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*h - 18 = -2*b, -19 = -b + 3*h. Suppose -8809*a - 5*j + 53 = -8810*a, -84 = 4*a - 4*j. Sort b, -4, a, -2 in increasing order.\nAnswer: a, -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2299) + (sqrt(2299) - -1*sqrt(2299))**2) + 0 + 4*(2 + sqrt(2299) + -3)**2)*-6.\nAnswer: -386256 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 3107?\nAnswer: -7\/3107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7)*t\/(t\/(t\/(t*t*t**(-2\/13)))))\/(t**(-1\/4)\/t**(2\/15)))\/((t\/t**0)**(3\/2)\/(t\/(t\/(((t\/(t**(-1)*t))\/t)\/t)))**28) assuming t is positive.\nAnswer: t**(-165157\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11165)\/(-35525))\/((-66)\/(-63)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -669 (base 16) to base 2.\nAnswer: -11001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 73. Let p be -9*(-1)\/48*-164. Let o = q - p. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 15.3. Which is the closest to 0.1? (a) 0.2 (b) h (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-5.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 38970?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + ((-25 - -19) + 3 - -47).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 11*l + 14. Suppose 0 = 5*y - 61 - 19. Suppose 0 = -5*w - 2*a + y, -w - 5*a + 17 = -0*w. Calculate the remainder when c(12) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 34. Let a(g) = 8*g**2 + 7*g - 41. Let t be a(-7). Suppose t + 116 = 22*b. Give v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:51 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = -14*v - 201 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 600089 or -12?\nAnswer: 600089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 768\/(-10) - 1\/5. Let w = s - -160. Suppose -4*z - w = -3*f, -f = f - 4*z - 58. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 + 56034830*f + 156995108656445 = 0.\nAnswer: -5603483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -26*h. Let i be (2 - 0) + 0\/(-19). Let n(u) = -7*u. Let b(f) = 3*f. Let d(z) = i*n(z) + 5*b(z). Calculate d(w(x)).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 + 6*v**4 - 3*v**4 + (-3*v + 5*v + 0*v)*(-v**3 + v**3 - 2*v**3) - 55*v**3 + 55*v**3 + 9*v**4 to l*v**3 + r + y*v + b*v**4 + c*v**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.0835, -2\/3, 1316 in increasing order.\nAnswer: -9, -2\/3, -0.0835, 1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of (-23)\/(-506) + 3942170\/220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11821.752 to the nearest 100.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -164, -248, -368, -524?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 3, 1\/69?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8934 + 114682.\nAnswer: 123616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - (0 - 1) - (-3 + -16 + -5 + 33)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*z + 2 - 300*z + 155*z.\nAnswer: 19*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g + g**2 + 0*g**2 - 8 - 5*g**2 + 3*g**2. Let o be z(-10). Suppose 3*y = -o*y - 25. Which is the smallest value? (a) y (b) 2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jededhdphjdhedde. What is prob of sequence he?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 81321422 divided by -598\nAnswer: -135989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 3) + (10 - -6 - 12).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = m - 1, 0 = 4*d + m - 1 - 0. Suppose -4*c = -d*c - 16. Let j be ((-1 - -1) + 5)\/1. Solve -j*y - v + 10 = 0, -3*y = -5*y - c*v - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -45. What is the least common multiple of 11 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-9)\/(-432)*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -2\/11 (b) -1 (c) -1\/4 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 + 1643.\nAnswer: 1642.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - n - 2*n)*((5 + 1 - 2)*(1 + 2 - 1) + 4 - 2 - 4 + (-3 + 1 + 1)*(6 + 2 + 1)) to g + a*n and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -97 + 1\/4*k**6 + 0*k - 9\/8*k**4 - 1\/2*k**3 + 3\/2*k**2 + 3\/10*k**5. Suppose m(d) = 0. Calculate d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 + 143. What are the prime factors of (o\/(-5 - -1))\/(4\/(-688))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180b (base 13) to base 2\nAnswer: 110111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -781013\/771 or -1014?\nAnswer: -781013\/771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4372903 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 45*p**2 - 82*p**2 + 41*p**2)*(-27*p**2 - 37 + 37).\nAnswer: -108*p**4 + 162*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1070 + -1067. Solve p + 10 - w = 2*j, p - j = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4*w)*(-8 - 7 + 6).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409457 is divided by 352342?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -213d + 4?\nAnswer: -2139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -4\/11 (b) 0.0747 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 537 = -9*u - 3*z, 5*z = 4*u - 437. Suppose b = u + 392. Let r = b + 651. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7871*q**4 + 5945*q**2.\nAnswer: 188904*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2. Let o(m) = -70 + 2*m + 70. What is o(q(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -42, -67, -106, -165, -250, -367, -522?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*h + l, -11*h + l = -13*h - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 1. Let l(v) = -2*v + 1. Let b be l(1). Let t(g) = g**3 - 3*g**2 - 8*g + 6. Let u(z) = b*t(z) + 5*r(z). Let x be u(4). Is x >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 8*c - 37. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4982000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d. Let h(r) = -3*r**2 + 8*r - 1. Let c(n) = -h(n) + 6*o(n). Calculate c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 7. Let c be k(-7). Let l = 1\/17551 - -105301\/87755. What is x in l*x**5 - 26\/5*x**3 - 8\/5*x**4 + 0*x + c - 12\/5*x**2 = 0?\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/224176 and -81\/28.\nAnswer: 1569232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.006 - 0.006. Which is the nearest to p? (a) -4 (b) 2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**8\/1344 + 19*c**7\/280 - 53*c**6\/480 - 173*c**5\/240 + 47*c**4\/16 - 14*c**3\/3 - 2780*c**2. Factor h(f).\nAnswer: -(f - 56)*(f - 1)**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1193, -1188, -1183, -1178?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85.02644 and -0.4?\nAnswer: -34.010576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 183, 237, 387, 687, 1191, 1953?\n\"Answer: 9*t**3 - 6*t**2 + 9*t + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 11) + (26 - 21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 7*w - 10. What is g in w*g**3 - 6*g**4 - 6*g**5 - g**2 + 11*g**4 - 4*g**2 + g**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777651999?\nAnswer: 2411, 737309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 2 + sqrt(704) - sqrt(704)*2*-4) + 0)**2.\nAnswer: 3600*sqrt(11) + 1425625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330352 and 352.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9932627847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tft when three letters picked without replacement from ttfttttttft?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*u**2 + 844*u**2 - 420*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 590170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -402 + 1267. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**3)**(1\/31)*((h*h*h**0)\/h)**(19\/4) assuming h is positive.\nAnswer: h**(605\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758.81 millennia in years?\nAnswer: 2758810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27354 = 4*r + f, -784*f = -779*f + 30. List the prime factors of r.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-8)*8*(-2)\/(-140).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 2*o + o)*(-2 + 1 + 0) - 3271 + 3271 + 82*o to s*o + t and give s.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17161343\/373 - 46009. Calculate the common denominator of g and 73\/3.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 867, 1696, 2529, 3366?\n\"Answer: 2*b**2 + 823*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*v - 25 = -6, 3 = -x + 3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2875 - 2807. What is the greatest common divisor of w and 6868?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24132251?\nAnswer: 11, 13, 37, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)**(-41\/3))**(-22)\/((m**0)**(-7\/5)*(m*m*m**(-1)*m)**(1\/27)) assuming m is positive.\nAnswer: m**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-1 + -1)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -287157, -287167, -287177, -287187, -287197?\n\"Answer: -10*p - 287147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.7334 rounded to 1 decimal place?\nAnswer: 66.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8446 and 1542734?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-13*g**2 + 27 - 27) - 6*g**2 + g**2 + 4*g**2.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -1372*a**5\/5 - a**2\/2 - 3070*a + 7744. What is the second derivative of t(q) wrt q?\nAnswer: -16464*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 - 72*p - 20. Let j be u(-14). Solve 0 = j*d + 2 - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 + 60*l**4\/7 - 8*l**3 - 60*l**2\/7 + 58*l\/7 = 0. Calculate l.\nAnswer: -1, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-26480)\/320 - -81) + 0 + (-1538)\/(-888)\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278671 = -29*b - 157462 + 158525. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*m*t**4 - 4*m*t**3 - m*t**2 - 13*m - 2*t**4 + 4*t wrt t.\nAnswer: 456*m*t - 24*m - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 273338*q**5 + 1618184*q.\nAnswer: 5466760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeefeefefe?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 132, 511, 1266, 2523, 4408?\n\"Answer: 21*a**3 - a**2 - 15*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2742 + 2741.29. Which is the second biggest value? (a) -1 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(-o - 2*o - o)*(353*o + 657*o - 174*o).\nAnswer: 3344*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4650 + 4677. Let h(b) = 14*b + 18. Calculate the remainder when h(6) is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -19 - (-3 + 3 - (-3 + 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3372 + 3380 + (0 - (-2 - (56 + -1)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*z - 4*z. Find the second derivative of 9*o + 1 - o**2 + z - 8 wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 3*w**2 + 53*w - 22. Calculate y(11).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.33 - 0.330009. Round z to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 426460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*p**5*q**2 + 391*p**4 + 22*p**2 + p*q - 79*p - q**2 - 369*q + 1 wrt p.\nAnswer: 220*p**3*q**2 + 4692*p**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1263858 by 421286.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:54 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61378173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 669 - 463. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anb when three letters picked without replacement from nbbyabnbbbnuyuybvbb?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -40260053\nAnswer: -120780159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243\/26 + 1212\/65. What is the common denominator of d and (-54)\/28 + 2\/(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21451 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-1232)\/296) + (-4)\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 16 = -7*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let i be 8\/1*((-5)\/2 - -3). Let p(s) = -19*s**2 + 4*s + 4. Let y(t) = 39*t**2 - 9*t - 9. Let n(a) = i*y(a) + 9*p(a). Give n(x(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odnxaao. Give prob of sequence ono.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (909 - (-5 - (4 - 8)))\/1. Let o = m + -475. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17541, -36878, -56211, -75540, -94865?\nAnswer: -114186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 3728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 26. Suppose -x + j*x - 4*y = -60, 4*y + 24 = -3*x. Let a be (27\/90)\/(x\/10). Sort a, -2, 1\/4.\nAnswer: -2, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -0.2473.\nAnswer: -0.5473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - ((-14 - 2) + (-73 - -72))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1008)\/15)\/(-6) - (-2)\/(-10). Suppose 26 = 4*o + 5*g - 22, -3*o - 2*g = -43. Suppose -t + y = -o. Calculate the greatest common factor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1315956 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + 3\/(-12). Suppose -2*q + 5*d + 28 = 0, d = 3*q - y*q - 16. Let j be (-15)\/(-3) - (-1 - -3). Sort j, -5, q in descending order.\nAnswer: q, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 684\/42227?\nAnswer: 684\/42227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491 - -490.9636. Let r = l + 1.0364. What is the closest to r in 0.3, 2, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0299033 minus -4539?\nAnswer: 4539.0299033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.8 - 37. Which is the smallest value? (a) r (b) 3\/7 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 7*z**2 - 7*z - 3. Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*q - 16*q + 208 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 51210.0608674.\nAnswer: 51215.0608674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1220227 and 5.\nAnswer: -6101135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/12)\/(81\/(-216))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23884*t**2 - 3*t - 6790 wrt t?\nAnswer: -47768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0 + t + 1\/2*t**2 + 1\/2*t**3. Is 4 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(1 + -1 + 79) is divided by (-40)\/7*(-203)\/58*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 - 23\/(-2). Suppose -3*u + 6*u - m = 0. Suppose 5*a - 3*q - 7 = 18, -4*a + u*q = -12. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 3*g**3 - 2357 - g + 2*g**2 + 2359 in the form w*g**2 + t*g + c + f*g**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:18 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*(-2 - (-12995)\/6441)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 7*r + 16. Let h be c(-5). What is the greatest common factor of h and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.47819 and 311017.\nAnswer: 311018.47819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-28)\/(-1120)*-24 + (-55)\/(-175)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**7\/42 - z**6\/15 - z**5\/20 + 2*z + 2. Let r(t) be the first derivative of y(t). Suppose r(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*s + 24, 0 = 3*s - 0*s - 3*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 11) + 11 + -5 + -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315570 divided by 554?\nAnswer: 13205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232 - -265. Calculate the smallest common multiple of 3 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 2*b - 2*b + b**2 - 3 + 4. Suppose 3 = t - 2*t. Let j(a) = -5*a**2 + 3*a - 3. Give t*f(p) - j(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*m**3 - 68 + 18*m**3 - 146*m**4 + 20*m**3 - 51*m**3 wrt m.\nAnswer: -584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 4*m + 4. Let x be z(-4). Suppose -n + 7 = 5*h, -7*h - 5 = -2*n - 8*h. Suppose x*p = n*p + 72. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56905776 take away -7187?\nAnswer: -56898589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31\/65 + -1\/13. Factor -2\/5*n**2 + 0 + r*n.\nAnswer: -2*n*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5 - 35*t**4 - 10*t**3 + 70*t**2 + 5*t - 35 = 0. What is t?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 91, 4 in increasing order.\nAnswer: 5\/2, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141777\/16 - 8855. What is the common denominator of k and (1 - 15)*(-26)\/(-64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 2*l**4 - 6*l**4)*(0*l + 3*l - 2*l) + (-l**2 + l**2 - 2*l**2)*(3*l**3 + l**3 - 2*l**3).\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15.9 or -31.28?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 53 - (-33 + 9 + 2 + 8).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -11, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 21*z**2 + 23*z**2 - 67*z**2 + 2 + 22*z**2. Let u(n) = n**3 - 3*n**2 - 6*n + 6. Let l be u(4). What is q(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3167 divided by -1222\nAnswer: -3167\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, -33, -5.\nAnswer: -33, -5, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 7 (c) -2\/21 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 12 + (1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6.4. Let i = -6.9 - -7. Let u be (0 - 4\/(-24))*(-7)\/((-42)\/(-12)). Which is the nearest to u? (a) i (b) -34 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**3 - 2*n**2 + 17*n + 25. What is j(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3677, -8097, -15457, -25751, -38973, -55117?\nAnswer: -74177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23729 + 10790222?\nAnswer: 10813951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose -7*o + h*o + 30 = -5*f, 3*f + 18 = 4*o. Let a(q) = -2834*q - 4. Let y be a(f). Round y to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + f + f)*(8*f**3 + 52*f**2 - 52*f**2 + (-3*f**3 + f**3 + f**3)*(-2 + 0 + 1)) in the form r + b*f + m*f**2 + c*f**4 + z*f**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5733 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158753 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x + 9*x + 59*x - 1260 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -340*n**3 + 4*n**2 - 27*n - 30. Let g be y(7). Is g\/(-39) + 4\/26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03079836 to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 37917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = -3*a, 6*a - a + 23 = 4*m. Suppose 16 + 44 = 4*i + 2*u, -m*i = -5*u - 54. Suppose -2*n = 3*d - i, -n + d + 13 = 3*n. Solve 0*g + n*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by 44?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119374 + 119374 + 8*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -29. Suppose 0*u = -5*u + o. Let a = 4 - u. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 203873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -0.21. Let h = -327 + 18. Let s = h - -310. Which is the closest to w? (a) 0.4 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -51*u + 1377. Calculate r(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*185\/(15355\/166).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-72)*102\/(-9)*(-44)\/33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14091815531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 - -1461.97?\nAnswer: 1462.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*t = -310 + 335, 64*t + 31*t = 5*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 935447870 to the power of 1\/2, to the nearest integer?\nAnswer: 30585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a - 16 = 54*a. Let q = 12 - a. Suppose 0 = 12*u - q*u - 13864. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 307455 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 10*x**2 + 11*x + 6. Calculate b(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0 (c) 1.1 (d) 0.074413 (e) 0.4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -71, -224, -521, -1010, -1739, -2756?\n\"Answer: -8*o**3 - o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) - (sqrt(448) - (sqrt(448)*-1 + sqrt(448) + sqrt(448))))*-4 - sqrt(448))*2)\/(sqrt(176)\/(sqrt(176)*2)).\nAnswer: 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + 0 + sqrt(176))**2.\nAnswer: 24*sqrt(11) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*j, -2*q + 5*j - 3*j + 4 = 0. Is 15 a factor of q\/15 - 208\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 296 = 400 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**7\/105 - 11*s**6\/60 + 7*s**5\/5 - s**4\/3 - 56*s**3\/3 - s**2 - 303. Determine f so that w(f) = 0.\nAnswer: -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/78 and (-5)\/((-165)\/6) + 31815\/(-7700)?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12012213 (base 4) to base 10\nAnswer: 24999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7 - 0.7. Let d = 1 - f. Suppose 0 = p - 1 - 4. Sort p, d, 4 in ascending order.\nAnswer: d, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 2*c + 6, 0 = -13*l + 12*l + 3*c + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 3*o**2 + 2*o + 2. What is the lowest common multiple of (-9)\/(-2)*(6 - 4) and k(2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, 11, 29, 49, 71?\n\"Answer: g**2 + 13*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135771343?\nAnswer: 11059, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/5 - 1736*w\/5 + 3452 = 0 for w.\nAnswer: 10, 1726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-4)\/(-6)*-1). Let a be 12 + k\/(-3) + -3. Let x be (-16)\/6*9\/(-2). Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11707165*j**3 - 2*j + 14658841 wrt j?\nAnswer: 35121495*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 460*c**3 - c**2 - 463*c**3 - 446*c**3 + 1368*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:23 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 4 + -2 + 0. Let h(s) = 2*s - 4. Let r be h(z). Suppose 15 = -3*u, r*u + 0 = -x - 8. Solve x*l = 7*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*a**3 - 1691 + 333 + 335 + 340 + 344 + 341.\nAnswer: 43*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**7\/60 + v**6\/3 - 19*v**5\/35 + 8*v**4\/21 - v**3 + 3*v**2 + 24. Let g(x) be the third derivative of n(x). Factor g(d).\nAnswer: -2*(d - 8)*(7*d - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*7\/7*30\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45872238*r - 4518415443\/2 + 1182*r**3 - 349281*r**2 - 3\/2*r**4.\nAnswer: -3*(r - 197)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 + -66. What is the lowest common multiple of n and 16?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -51*b + 312. Let w be j(3). What is the greatest common divisor of w and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -7. Let v(h) = 2*h**2 + t - 9. Let y(s) = -5*s - 4. Let f(k) = 6*k + 5. Let n(o) = 4*f(o) + 5*y(o). Calculate v(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/((-1)\/6). Let l be (-1 - 31\/3)*-6. What is the second derivative of 37*z + 53*z**3 - 12*z - l*z**x wrt z?\nAnswer: -90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2778 - 2779 + 21*n**2 + 5557.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 27 = -29. Suppose -p*k + 2 = 0, -4*v + 2 = -0*k - 2*k. Suppose -5*w = 5, -5*b = -3*b - 5*w - 15. Put -5, v, 2, b in descending order.\nAnswer: b, 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43624903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**8\/30240 + o**7\/3780 + o**6\/1080 + o**5\/20 + 3*o**2. Let t(p) be the third derivative of j(p). Let t(n) = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011903 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**3 + 3*f**2 - 291.\nAnswer: -24*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 56 - 33)*(-1 + 4*l + 1).\nAnswer: 76*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1401 divide 863071416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*b + 103 + 95 - 234 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*a - 4, -a + 4 = -4*j + 10. Let f be (-1)\/(-14)*2*1. What is the closest to j in f, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 83*r = -82*r + 46, -3*r + 18 = 0. Suppose b = -1 + 2. Calculate the lowest common multiple of b and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 9. Let j(q) = 7*q - 10. Let d(g) = -5*i(g) + 6*j(g). Let s = -4560 - -4553. Calculate d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 - 13*w**3 + 13*w**3.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35, 82, 131, 182?\n\"Answer: x**2 + 44*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 34 + 7)*(-2*v + 5 - v**2 + 0*v**2 - 7).\nAnswer: 29*v**2 + 58*v + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 2477755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4*x - 4 + 4 in the form z*x + o and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -14*x**3 + 8. Let i(n) = 5*n**3 - 3. Suppose 10*y + 248 = -21*y. Let g be 33\/(-12) + 2\/(-8). Give g*v(s) + y*i(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**4 + 2445*v**3 - 4875*v**2 - 2445*v + 4878 = 0.\nAnswer: -1, 1, 2, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 39*f - 43*f - 4, 2*y + 2 = 3*f. Let l(z) = -z**3 + 2*z**2 + 6*z + 15. Give l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661486 is divided by 999.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 50. Let o(t) = t**3 - 2*t**2 - t + 249. Let y be o(h). Suppose y = 55*k - 52*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8924*j + 8874*j = 17753*j - 5361 + 6 for j.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 7. Let m be t(5). Suppose -3*h = -m*u + u - 11, -5*h + u + 15 = 0. Suppose -h*s + 12 = -94. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28144 + 28144.35938. Let f = c - 0.36. Round f to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - f - 39725 = -9*m, -4*m - f = -39731. What are the prime factors of m?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 95*a**2 + 85*a - 6749. Is z(81) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228 + 300 - (-11550)\/(-160)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17446691 + -5946691. Round m to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 4*p**3 + 4*p**4 - p**4 - 5*p + 2*p - 4*p**3 + 6*p**3 in the form j*p + o*p**4 + t + k*p**3 + r*p**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert b79 (base 12) to base 5.\nAnswer: 23202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(1\/8). Suppose 5*b = r*a + 23, b - 2 = -2*a - 3. Suppose 4*x - 24 = -o, b*o - x - 86 = x. What is the remainder when o is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-1) + (73 - (99 + -41))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.6 - -20. Let y = h + -0.3. Which is the second smallest value? (a) y (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 2*w**2 - 6*w + 1. Let y(l) = -5*l**3 + 2*l**2 + 7*l - 1. Let d(p) = -4*h(p) - 3*y(p). Give d(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {y: 1, x: 17}?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -390, -1, -6, -5, -2\/7, -67?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8294 = 15*b. Let z = 609 - b. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6035725 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28814932 is divided by 158?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ac + 5?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2459691 - -2458634.577. Let j = 1056 + s. Let i = j - -0.023. Sort -5\/2, i, 0.09, 0.2 in increasing order.\nAnswer: -5\/2, i, 0.09, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*m = -55*m - 254 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 28*p**2 - 21. Let y(k) be the third derivative of 7*k**5\/60 - 5*k**3\/6 - k**2 + 4*k. Give -5*h(d) + 21*y(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 13*m + 10. Let b be f(-11). Is b at most as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2.05, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 20*q**2 - 13*q + 4. Let r be s(-9). Let h = r - -45. Find the third derivative of 21*f**4 - 2*f**2 + 16*f**4 - 8*f**h - 7*f**2 wrt f.\nAnswer: 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27884+-1068658377\nAnswer: -1068686261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278*26.\nAnswer: -7228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557, -1466, -1227, -762, 7, 1158?\nAnswer: 2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p + 11\/6*p**3 + 0 + 1\/24*p**4 + 4*p**2. Calculate l(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 114. Let c(t) = t**3 - t**2 - t + 1. Let l be c(1). Solve -5*g + 7 - b = l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -373948 and 0.9.\nAnswer: -336553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -59*s**2 - 11*s - 11. Let l(x) = -12*x**2 - 2*x - 2. Determine -11*l(r) + 2*w(r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*l**2 - 39*l**3 - 2*l + 1 + 40*l**3 - 2*l**4 + l in the form n + h*l + a*l**4 + x*l**3 + g*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34710573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 2. Let u be ((-1)\/(2\/(-26)))\/(25\/(-50)). Let c(y) = 17*y + 9. Let w = 14 - 8. Determine u*s(h) + w*c(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*v + 34 = v, -4 = -2*v. Suppose 0 = 4*a + 3*w - 7, -3*a - 3*w - 3 = -n. Let l be -1*4*3\/6 + 4. Sort 4, a, l in increasing order.\nAnswer: a, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1703 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**2*u**2 - 15*q**2*u + 12*q**2 + 5*u**2 - 108 wrt u?\nAnswer: -8*q**2*u - 15*q**2 + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -541, 4, 2\/7, 21, -4\/3, -4, 5 in ascending order.\nAnswer: -541, -4, -4\/3, 2\/7, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -210442 - -10?\nAnswer: -210432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48270382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 13*o - 2*o = 13*o. Solve o = 4*s - 183 + 179 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5253\/1785 + (-30)\/14.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 22. Let v be d(-13). Suppose 0 = -3*q - 8 + v. Solve 2*c + 1 = q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-8 + 0 + (-55 - -60))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*-2)\/sqrt(11) - (sqrt(240)\/sqrt(6))\/sqrt(8)) + (-4*(sqrt(245) - (-1 + sqrt(245))) + 1 + (-1 + sqrt(245) - sqrt(245)))**2.\nAnswer: -3*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 226 - 9 - i.\nAnswer: -i + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + l - 4)*(-4 - 1 + 3)*(2 - 4 + 0)*(2 + 2 - 3) to u*l + z and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5335.189 to the nearest one hundred.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1430 divided by 13.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95088 is divided by 1419?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 268 - 428 - 47*o**2 + 11*o**2 + 113.\nAnswer: -36*o**2 - o - 583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1389 = -117*w - 2863 - 1755 - 311 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*-20*(-112)\/1440?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*h**3 + 95503744*a*k - h**3 - 3*h**2 + 381*h*k - 173*k wrt a.\nAnswer: -2*h**3 + 95503744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 7*z**2 - 4. Suppose -2*i = i + 15. What are the prime factors of y(i)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 6*w = 36. Let j = -3 + w. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.3. Let a = -50267 + 50264. Sort 0.194, -3\/4, a, p in increasing order.\nAnswer: a, -3\/4, 0.194, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -465328.918 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + -0.68. Let g = -0.02 + w. Let h = -2\/76081 - -228257\/532567. What is the closest to g in 2, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 4321148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596214*o**2 + 1191895*o**2 - 595682*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence recc when four letters picked without replacement from frfrrrfrferfrrfecfc.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 82\/(-10) - (-9 + 1). What is the second smallest value in w, 8\/83, 5\/3?\nAnswer: 8\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-five eighths of a kilometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10 - 15. Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30420 + -20869. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2688)\/176)\/14*55\/(-190)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {z: 2, m: 3, x: 3, y: 7, e: 3, j: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16b13 + 5?\nAnswer: 16b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*c = -63 - 315, 5*c = 0. What is the remainder when p is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937730074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 189.05 times 2\nAnswer: 378.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 10490536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 4)*(1 - 3 + 4)*(-788*m - 1778*m - 94*m) to the form d + u*m and give u.\nAnswer: 5320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 502*a**2. Let j(g) = -2*g**2 - 5100 + 5100. Determine j(b(h)).\nAnswer: -504008*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -24*j**5\/7 + 720*j**4\/7 + 2754*j**3\/7 - 12786*j**2\/7 + 10368*j\/7 - 2376\/7 = 0.\nAnswer: -6, 1\/2, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.2826 + 100.2. Round g to three decimal places.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 58*r + 378. What is z(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315431 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 10307 = 3*y + 10358, 17 = -n - 3*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3490.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15095 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:40 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (23 - -14) + -24\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**3*t**2 - 55363*o**3 - 372*o**2*t**4 with respect to t.\nAnswer: 8*o**3*t - 1488*o**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Suppose 0 = -h*j + 39 - 14. Solve 4*r + 8 = -0, 0 = -4*q - j*r + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 854 + -814. Calculate the greatest common factor of 11320 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*l + l + 2*l + (-4*l + 0*l + 3*l)*(2 + 0 - 1) + 3 - 3 - 2*l - l + 2*l - 3*l + (1 - 1 + l)*(1 + 2 - 4) in the form n + x*l and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:49 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 12*r + 2. Let n(k) = -k**2 + k - 1. Let y(l) = 6*n(l) + u(l). Factor y(w).\nAnswer: -2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ktxfkftfbffbtftf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Let k(g) = g + 3. Let o be k(0). Suppose 0*a = o*a - 21. Solve 5*t - p*c = a, -3*t = 6*c - c + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12073810 to the power of 1\/2, to the nearest integer?\nAnswer: 3475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**3 - 3*y**2 + 39*y - 31. Does 11 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m + 34*m - 10*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = -3*d - 31, -57*n + 27 = -60*n + 5*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -80, -96, -110?\n\"Answer: j**2 - 21*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -786 (base 9) in base 5?\nAnswer: -10040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 10*b**2 - 9 + 5 as v*b**2 + a*b + h and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2774 - -0.1.\nAnswer: -2773.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-74)\/(-14) - (-56)\/(-196). Suppose 10*w - 5*i = 6*w + 3749, w + j*i = 931. Does 42 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -7.88, -5, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -1 (c) -2\/7 (d) -2\/15 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -49509?\nAnswer: 495.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7652, 15303, 22954, 30605, 38256?\n\"Answer: 7651*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2703 (b) 1\/9 (c) -6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {o: 1, t: 2, f: 1, d: 3, r: 1, n: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2710, -2244, -1854, -1546, -1326, -1200, -1174, -1254?\nAnswer: -1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-544)*(-32)\/(-20).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*x**3 - 10*x**2 + 8*x.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*p + 2, -8 = 4*b - 2*p - 2*p. Let w be 10\/(-6)*-68 + b\/(-6). Suppose z = w + 266. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**4\/2 + 88*p**3\/21 + 75*p**2\/7 + 36*p\/7 + 166. Solve d(y) = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 + 4. Let h = -6.3 - -11.9. Let s = -5.62 + h. What is the second biggest value in 0, t, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(810) - sqrt(810)))\/((sqrt(40) - (sqrt(240)\/(1*sqrt(6)) + sqrt(40)))\/sqrt(8)) + -1)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-12))\/(52\/(-832)))\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 + 5*h. What is w(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1601.762 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 10*a**4 + (2*a**3 + a**3 - 2*a**3 + (-2 + 2 - 2*a**2)*(a - 2*a - a))*(23 + 9*a - 23) as s*a**2 + y*a**3 + b + x*a + d*a**4 and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**3 + 2*m + 7 - 8*m**2 + m**3 - 2*m**3 + 2*m**3 + 4*m**3. Suppose h + 3*y = -5, 11*y - 12*y - 32 = -4*h. Determine t(h).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 6*s - 25. List the prime factors of i(10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 1301?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 60 - (8 - (-10 + 22) - -10).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 44 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 13. Suppose 2*p + z + l*z - 6 = 0, -5*p + 10 = 5*z. Let a be 55\/p - (-1 + (-6)\/(-8)). What is the greatest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2725155 is divided by 57982.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 4. Let j(o) = -o. Let g = 6 - 4. Let n be 1*2\/(-4)*g. Let k(v) = n*b(v) + j(v). Differentiate k(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-7)\/((-28)\/16)). Which is the smallest value? (a) -1\/5 (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.62674 millilitres to litres.\nAnswer: 0.07762674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/1890 + 7*w**6\/1620 + w**5\/90 - 85*w**3\/6 + 29*w**2. Let z(f) be the first derivative of i(f). Factor z(s).\nAnswer: 2*s*(s + 2)*(2*s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4949*t - 36321*t - 21009*t - 5687*t - 8893*t + 1849*t)*(4 - 1 - 5).\nAnswer: 130224*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86406*h**3 + 11*h**2 + 43206*h**3 + 43210*h**3.\nAnswer: 10*h**3 + 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 25*x - 22*x - 27 = 0, 0 = -5*a + x + 9. Suppose -3*h = -48 - 6. Solve -2*q + 4*u = h, 5*q + u - a = -u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjfa when four letters picked without replacement from {a: 2, j: 2, s: 1, k: 4, f: 1}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11013, 9606, 8199?\n\"Answer: -1407*h + 12420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((8 - 2) + (-7 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + sqrt(1088) + 1 + sqrt(1088) - (1*sqrt(1088)*2 + sqrt(1088) + sqrt(1088)))**2.\nAnswer: -128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 30256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -2. Put h, -3, 0.1 in increasing order.\nAnswer: h, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -127.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + -1*(2 + sqrt(1300)) + sqrt(1300) + (sqrt(1300)*-4*3 + -5 + sqrt(1300) + 3 + sqrt(1300))**2.\nAnswer: 400*sqrt(13) + 130002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + x = -0*y - 23, -5*x - 61 = -4*y. Let h = -178 + 176. Let b be h\/y - 114\/(-27). Let v(o) = o**2 - 2*o - 2. Calculate v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28812 times 6?\nAnswer: 1.72872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + x + 5*x - 2*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*j + 0)*(-376*j + 300*j + 171*j)*(3 - 1 - 3) to g*j + u + v*j**2 and give v.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -26. Let a(n) be the first derivative of -3*n**2 + 7*n + 355. Determine a(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 65 = -34. Let o = -20 - r. Let q be 1345\/15 + 4\/3. What is the highest common factor of q and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -3*m - 4, -2*s - 5*m - 7 = 0. List the prime factors of 2\/((2\/(-10))\/s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 323, 342, 379, 440, 531?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268.5424 - 0.1376. Let h = i + 267. What is h rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = j + 5*t, 3*j - 142 = 3*t - 22. Let c = 70 - j. Suppose -4*s + 68 = 2*z, -4*z - 34 = 3*s - 5*s. What is the greatest common factor of s and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 2*g**2 - 41*g - 80. What is a(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90393450 by 20685.\nAnswer: -4370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 9\/2*d**2 - 12 + 4\/3*d**3 + 0*d. Find the second derivative of u(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*a + 423*a = 180. Let p(d) = -2*d**3 + 5*d**2 - 4*d + 18. Let k(x) = -3*x**3 + 6*x**2 - 5*x + 19. Give a*p(o) - 4*k(o).\nAnswer: 2*o**3 + o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4001 (base 6) to base 7.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531461 is divided by 384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.478744 months in centuries?\nAnswer: 0.00956562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Solve 4*m - 3*d = -p*d - 7, -2*m - d - 5 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, x: 2, s: 4}. What is prob of sequence sx?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(21) + sqrt(21) + (sqrt(21) - sqrt(21)*5)))\/(sqrt(972)\/sqrt(9)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-2 + -24 - (-81 + 102))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3588*y**3 + 7185*y**3 - 3612*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19491 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 18\/4)*-1754. Let q = j + -324. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1088 and 126123?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376\/658*(-868)\/(-24)*(-4 - -1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 20*w + 30 = 5*c, -5*c = -10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950 a factor of 50642142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -149890.7 + 303664\nAnswer: 153773.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 545876867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2328930 and -5\/68470542?\nAnswer: 342352710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 312 = 110*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2354, 4647, 6880, 9053, 11166, 13219, 15212?\n\"Answer: -30*j**2 + 2383*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 8. Suppose 3*f = 3*p - 5 - 4, -3*f + 27 = 3*p. Let y(z) = -z. Let c be y(p). What are the prime factors of h(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 4*m - 2*m - 2*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30875 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-212)*29956\/37445\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.42738t to kilograms.\nAnswer: 38427.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 7:28 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - -1 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060918 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5493238.\nAnswer: 2, 29, 53, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013747 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2955160 to the nearest one thousand.\nAnswer: 2955000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 81 + -1 + -3350 + 3305\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5410660?\nAnswer: 2, 5, 97, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11111001010100 (base 2) to base 16\nAnswer: 3e54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 122, 180, 336, 590, 942, 1392?\n\"Answer: 49*h**2 - 89*h + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l + 187*b - 184*b, -2*b = -8. What is the greatest common divisor of l and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - -338?\nAnswer: 35d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1894.94 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1 - (-10 + 2)) + 9 + 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206182 - 606*l - 206182)*(-5*l + 0*l + l**3 + 2*l).\nAnswer: -606*l**4 + 1818*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from mamammqqmqmmmqaammm.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 20 + 7 = 0. Let o(h) = h**3 + 8*h**2 + h - 6. Let a be o(-7). Let n be (-233999992)\/a - (-2)\/v. Round n to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/2*(-51)\/(13209\/(-74))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.61266g?\nAnswer: 0.00000261266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 28.71 (c) -54 (d) 55 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 111. Let h(f) = f**3 + 10*f**2 + 6*f + 6. Let o be h(-4). Suppose 3*u + 0*u - o = x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*z**3 - 35*z**3 - 116*z**3 + 4 - 2*z**2)*(1 + 0 + 0).\nAnswer: 9*z**3 - 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 15, 23, 35, 51, 71?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26886*j. Let w(p) = p**2. Calculate w(f(m)).\nAnswer: 722856996*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*d + 32*d + 1 - 2 in the form g*d + u and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9) + sqrt(9)*-1*4 - sqrt(9))*-3)\/((sqrt(15)*-1)\/sqrt(5)*-4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -0.2, -639 in ascending order.\nAnswer: -639, -63, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*y - 8 = -29, 0 = -4*y - 16. Suppose -300*a + 152*a - 149*a - 227*a + 7860 = 0. What is the greatest common divisor of a and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4078 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 39*j + 41*j + 55 = 0, 16*l - 7*j - 190 = 12*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p - 39*p + 1496. Suppose -5*d - 4*q + 1164 + p = 0, -4*q = 8. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 14*u**2 - 15*u - 3. Let i be l(15). What is the second biggest value in 2\/5, i, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1983287 or 1\/2?\nAnswer: 0.1983287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 484944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*q - 6821 - 1767, -24 = -4*q. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 6*n + 7. Let k be b(-1). Suppose -c + k*m + 27 = -4, 5*c - 3*m - 107 = 0. Which is bigger: 93\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7191206 or 7191030?\nAnswer: 7191030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 314625, 314819, 315011, 315201, 315389?\n\"Answer: -q**2 + 197*q + 314429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 1 - 1\/2*a**4 + 0*a**2 - 8*a + 2*a**3. Determine s so that j(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.515.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -49357.6 rounded to the nearest 100?\nAnswer: -49400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (-1 - 2)\/(-1). Suppose -z*l = 3*l + 10. Let i be (-1)\/7*16 - l. What is the nearest to i in 0, 0.1, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2730)\/540)\/(581\/(-747)))\/(((-3)\/(-10))\/3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (547 - (0 + 0)) + -11 + 9. Let k = p + 200. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = -0*f, -2*p - 3*f = -7. Does 7 divide p - (-7)\/(28\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4 - (-5 + (4 - 4))) + 878 + -749?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1043\/698 + 2\/349. What is the third biggest value in 10, c, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1001210020012?\nAnswer: -1001210020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from leeeeeeeeeeeeeeeee?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 881415 and 42.\nAnswer: 12339810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 5. Let p(b) be the second derivative of -b**3\/6 - b**2\/2 + 12*b. What is -5*p(s) + y(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h - 4*h + (3 + 0 - 2)*(-2 - 19*h + 1 + 0).\nAnswer: -21*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-4) - 2\/4. Suppose -32*y + 223 = 63. Suppose k*w + y = 6*w. Solve 0*c + 4*c - 5*d - 16 = 0, 3*d = -w*c - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123 + 12*r**2 + 392*r**2 + 69 + 54 to p*r**2 + a*r + g and give p.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-117 - (-93 + 3)) + 52\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:53 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 37 = -11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1765 and 81\/1301864.\nAnswer: 6509320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 83. Let m be y\/(-10)*(-4 - -8). Suppose o = -m*o - 0*o. Solve 3*z + 0*z + 15 = o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -31. Let a(g) = g**2 - 3*g - 11. Let t be a(f). Let z = 20 + t. Calculate the greatest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 2. Let o be x(0). Let f = 7 + o. Let w(m) = -m**3 + 3*m**2 + 9*m - 14. Let s be w(4). Solve 5*u - u + 6 = 2*p, 0 = -4*p + f*u + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 21 - 61 = 3*z, 3*z + f + 86 = 0. Suppose 0 = 3*w - 0*w - 27. List the prime factors of z\/w*(-9)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -138, -144, -152, -162, -174, -188?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1814 + -1791 + (-2 - -10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -1 + 2. Let p be -2 + (n - 2) + 7. Suppose -4 = -p*z - 0, 68 = 5*r - 2*z. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*i, -4*x = -2*x - i. Suppose l - 3*g = g + 62, x = -g - 3. Is l a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11825)\/(-1892) - (10\/8 - 0). What is p in -4\/9 - 2\/9*p**v - 4\/3*p**4 - 2*p - 28\/9*p**3 - 32\/9*p**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/215505 and -41\/9.\nAnswer: 215505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x + 242*x**2 - 122*x**2 - 49 - 121*x**2 + 87 + 2*x. Give t(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35573 and 0.4?\nAnswer: 35573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 40 = -36*o. What is the units digit of ((-642)\/(-4))\/((-5)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 61\/228960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -97. Let w = m - 58.999999882. What is w rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from uuagepggsue.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 14*y**3 - 2*y**2 + 1. Let n(k) = k**3 - 30*k**2 + 31*k - 18. Let h be n(29). Let d = h + -22. Calculate the remainder when d is divided by s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80113387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 - 145608*s**2 - 11525724*s - 82884832 = 0. Calculate s.\nAnswer: -71, -8, 36481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155599252 divided by -38899813.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.03 + 5.03. Let z = -4.6 - -5. Which is the nearest to 0.1? (a) z (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*g**2 + 32 + 55*g**2 + 50*g**2 + 52*g**2 + 56*g**2 - 1326*g.\nAnswer: -g**2 - 1326*g + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sycyycyyk. What is prob of picking 1 k, 2 c, and 1 y?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 7*q + 7. Let p be j(-6). Suppose -3*d - 4 = -2*x, -3*d + 1 = -3*x + 4. Let k = 6.3 + -6. What is the biggest value in k, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-two fifths of a millisecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3516 = 4*q. Let c be q\/9 + -8 + 6. Let m = -27125\/198 - c. Calculate the common denominator of -13\/10 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = -6. Let o(k) = k**2 - 6*k + 3. Let q be o(6). Suppose -2*h = -h - q. Sort r, 0, h.\nAnswer: r, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(8 - 11 + 5)*(l + 3*l - 2*l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 193a3 + -4?\nAnswer: 1939b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 2\/15 (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -188 + 0?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 - (9 - 6 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d8d - 18?\nAnswer: -1da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 147, 5, -5 in increasing order.\nAnswer: -5, -2, 1, 5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 1216755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24710577, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -3*o. Let y(d) be the third derivative of -d**6\/60 + d**4\/12 + d**2. Give y(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1880 and 12032.\nAnswer: 60160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u + 147. Suppose 148 = -2*f - 14. Let v = u - f. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 3*a - 3*a + (3*a + 2*a + 0*a)*(3 + 3 - 4).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {b: 1, r: 2, h: 1, s: 1, w: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/24*(-4)\/1. What is the fourth smallest value in l, 3\/2, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/827, -2, 7, -50.\nAnswer: -50, -2, -9\/827, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288328 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 8. Let h be g(-8). Suppose 0 = -7*l + 49 - 14. Solve u = l*u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20124901*i**3*q**3 + 19557*i**3 - 50*i**2 + 3*i*q**2 wrt q?\nAnswer: -120749406*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3 (base 14) in base 12?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -9)*(-2)\/5. Let k(d) = -d + 11. Let w be k(7). Solve 5*g + c = w*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pww when three letters picked without replacement from pppwpwwpppwwpwpwww?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 8*q**2 - 10*q - 18. Let y = 24 - 19. Let r(m) = -m**3 + 6*m**2 + 2*m - 4. Calculate the remainder when t(-9) is divided by r(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71548, 3, 5.\nAnswer: 3, 5, 71548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 + 23*g + 6. What is a(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgiigccmici. What is prob of picking 3 i and 1 m?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - 33 = 0. Suppose -28 - 14 = 4*b - 5*b + 3*d, 0 = -10*d - 100. What is the greatest common factor of a and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((68 - 89) + (-605)\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13*((-10)\/(-15))\/(8\/(-132)). Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/12 + 1331\/132. List the prime factors of (-15 + a)*338\/(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -8)*1 - -13. Let y be -2*(-1)\/(-2)*-14. Suppose a*r - 3*r = y. Calculate the greatest common factor of r and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by 2.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -765b84?\nAnswer: -765b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9*l*l*l*l**(-27)\/l*l*l*l*l assuming l is positive.\nAnswer: l**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/116 and -151\/696?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q - 4*d, 4*q + 5*d - 25 - 2 = 0. Let u = -29 - q. Suppose 95 = -3*i - h, 0*h - 45 = 2*i - 3*h. Do i and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 11*j + 2*j + 5 + 5 wrt j?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(891))*3 - (-1 + sqrt(891) + 0))**2.\nAnswer: 144*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let f(s) = -6*s - 412. Determine f(c(y)).\nAnswer: 12*y - 412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r + 10*r + 17*r + (3*r - 9*r - 6*r)*((2 - 2 + 2)*(0 + 1 + 0) + 227 - 326 + 157).\nAnswer: -702*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -840*x**2 - 370*x**2 - 2 - 287*x**2 - 506*x**2 - 413*x**2.\nAnswer: -2416*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20039 + -9828. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 183\/85 and 33.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20359 + 6*t + 3*t**3 + 20359 - 2*t**2 to a*t + c + y*t**2 + o*t**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(100\/(-30))*(-40)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34\/513 + -5141\/1026. Let q(v) = -v**3 + 6*v**2 - 5*v + 4. Let p be q(5). Find the common denominator of p\/(-6) + 442\/(-192) and k.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let b be 6\/(-10)*(-2)\/o. What is the closest to 1 in b, -2\/21, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*c - 4*h - 42, 144 = 5*c + 3*h. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34306 smaller than 34739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.8799 - -26.885. Let w = -0.2 + 3.2. Let r = d + w. Round r to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(10\/9)\/v)\/v)\/(v*v\/(v*v**11)))\/(v**(-3\/34))**(-37) assuming v is positive.\nAnswer: v**(2095\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 50*a - 1. Suppose -4*o = -1 - 3. Does 14 divide w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/20 - 3*j**4\/4 + 3*j**3\/2 + 5*j**2\/2 + 1921*j. Let l be 5*2*4\/5. Calculate x(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.141 - 4.859. Put 2, -3, 4\/3, x in increasing order.\nAnswer: x, -3, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97758237 and 33.\nAnswer: 1075340607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(1300) - ((1 + sqrt(637) - sqrt(13)) + -4))*-6)**2.\nAnswer: -14256*sqrt(13) + 2038932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21711 or 151972\/7?\nAnswer: 151972\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, 2\/37 in ascending order.\nAnswer: -0.3, 2\/37, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/(-16)*3647\/(-3647).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2.1. Let w = f - 2. Let s = -1.9 + w. Which is the nearest to s? (a) 0 (b) 3\/4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 5*y**2 - 6*y**2 + 7*y**3.\nAnswer: y**3 - 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -252903, -251794, -250687, -249582?\n\"Answer: -x**2 + 1112*x - 254014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -940 + 1731. Calculate the greatest common divisor of m and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 24 = -5*a + 6, 32*h = 3*a + 145 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -17*d**3 - 13*d**2 + 13. Let p(o) be the second derivative of 0 - o - 3*o**2 + 2\/5*o**5 + 0*o**3 + 1\/2*o**4. What is 6*l(x) + 13*p(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 340 = -2*u. Suppose 0 = -4*a - 5*k + 1715, -3*a - a + 2*k + 1750 = 0. Let o = u + a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 196. Let x = p + 112. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258241, -1, -5, 5.\nAnswer: -258241, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 6) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -64. Let j = 63\/2 - h. Let n = 4 - 1. Which is the third smallest value? (a) -1 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4873*x**2 - 2460*x**2 + 1 - 2454*x**2 - 1.\nAnswer: -41*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -326?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1439695 times -0.2\nAnswer: 287939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -29*u + 19*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 + 135.02. Let b = 0.02 - r. Let y = -5 - b. Put 1, -1, y in increasing order.\nAnswer: y, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 8*n + 89)*(299*n - 296*n + 7 + 3).\nAnswer: 24*n**2 + 80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 14 + 24)*(v - 3*v + 5*v) - 5 - 2*v + 5 + 3*v - 5*v + v + (-v + 3*v - v)*(0 - 2 + 0) as g + q*v and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(833))**2 + sqrt(204)\/sqrt(3).\nAnswer: 2*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2)\/v)**(-32)*v**3*v*v*v**(-2\/3))\/(((v\/(v*v\/(v*v\/(v\/v**(-2\/5)))))\/v)**(-2\/25))**(16\/7) assuming v is positive.\nAnswer: v**(7529\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2532\/1899*(-142)\/(((-160)\/15)\/4)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237546977?\nAnswer: 18341, 121997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 + 10*y**2 - 14*y**2 - 30 + 30 - y**3 - 4*y to the form b*y**4 + j*y**3 + o*y + c + i*y**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32137632257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -78.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6630\/325)\/(30\/(-50))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*j = 19950 + 31050. Calculate the greatest common divisor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 20*c**2 + 15*c - 18. Let o be q(19). Round o to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10122001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 2*g**3\/21 - g**2\/7 - 4*g\/7 + 28. Factor c(z).\nAnswer: 2*(z - 2)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -18, -24, -30, -36?\n\"Answer: -6*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*(sqrt(637) + 3)*-2 - (sqrt(637) + (sqrt(637) - (sqrt(637) + -3 - sqrt(637))) + 4 + -2)))**2*-5.\nAnswer: -321880 - 18200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034 and 21526.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**2 - a - 5. Let p be m(-9). Suppose -5 + 15 = 5*x. Suppose 0 = x*w - 587 - p. What is w rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/12 - z**4\/12 - z**3\/3 - 1180*z**2. Determine f(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**2 - 10*c**3 - 25*c - 3*c**3 + 32*c**2 + 25*c in the form p + z*c**3 + j*c + i*c**2 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6) - 7\/(-2). Let s = y + 5. Let o = -2 + s. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + 4561*w - 4561*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 + p**3 - 3*p**2\/2 + p. Let o be d(5). Suppose r - m = 13, -o*m = -r - 0*r + 14. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 3:02 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = c - 2*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 6, g: 6}. What is prob of picking 2 g and 1 l?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206719 is divided by 206697?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + s**2 - 7 + s**3 + 7*s**2 - 36*s + 46*s. Let d be m(9). Let g = d - -16. What is the greatest common divisor of 45 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14592 and 1280?\nAnswer: 72960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 8*d**2 - 2*d**2 + 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6858*r - 12. Let s be l(7). Suppose 10006 + s = 4*u. Round u to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 1541 = -3*q - h, 5*q - 1920 = -5*h. List the prime factors of q.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -4, -3 in decreasing order.\nAnswer: 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 1038875*q - 1 - 2077747*q + 5 + 1038854*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42, -6, -10, -5, 5, -1, 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4\/(32\/(-4))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12102*q**2 - 746*q**3 - 1 + 6071*q**2 + 2*q + 6030*q**2)*(-q - q + q).\nAnswer: 746*q**4 + q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 3:02 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3\/6 + 28*v**2 - 1568*v + 2675. Solve x(d) = 0 for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -457, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(-3 + 0 + 2) + 2 + 4 - 4)*(-5*h**5 - h**2 - 41*h**5 + 10*h**5).\nAnswer: -108*h**5 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**2*s**2 + 18*k**2*s + 4501*k**2 - 3*k*s**2 + 9*k*s - 2*k - 39212*s**2 + 2 wrt s?\nAnswer: -12*k**2 - 6*k - 78424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 5*f)*(0*f - 2*f - 6*f + (f - 3*f - f)*(-14 - 4 + 23)).\nAnswer: 46*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + -2*sqrt(405)) + (2*(1 + sqrt(320) + 1))**2.\nAnswer: 74*sqrt(5) + 1287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -140, -339, -624?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.01, -6, 2, 3\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2)*(-10 + 14). Suppose -22*g + h = -20*g. What is the greatest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) -2 (c) 1 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.12069ug to nanograms.\nAnswer: 55120.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0*v + 2*j = -41, 21*v + 1092 = 5*j + 2241 - 1023 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2 - 106*y - 220 = 0?\nAnswer: -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/43, -1\/23, -1\/2, 2\/7, 0, 3.\nAnswer: -1\/2, -1\/23, 0, 2\/7, 24\/43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4353 (base 7) to base 16\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -211, -623, -1397, -2653, -4511, -7091, -10513?\n\"Answer: -20*m**3 - m**2 - 27*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:47 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + 4. Suppose 2*z - 2*x = 4, x + 12 = 4*z - 8. What is the least common multiple of z and m(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7709092?\nAnswer: 2, 17, 73, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 3, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4 + 10*m + 90*m**2 + 11*m + 9. Is r(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -4\/7, 1, 9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 875923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28514276.\nAnswer: 2, 7, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864*-86.\nAnswer: 74304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = l - 3*d - 2, 3*d = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**3 + u**2 + 6. Let y = 16 + -10. Let j(t) = -19*t**3 - 2*t**2 - 13. Let k be -21 - ((-28 - -51) + -57). Calculate k*d(m) + y*j(m).\nAnswer: 3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 100312333211?\nAnswer: -100312333212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, 11, 2\/13, 4, -2\/17, -857, -158?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 2*i. Let m be ((-117)\/((-351)\/(-24)))\/(-12). Which is the closest to -3\/8? (a) i (b) m (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12025, -11692, -11359, -11026, -10693?\nAnswer: -10360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4937*p - 2250 = -4862*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -381599071 rounded to the nearest 100000?\nAnswer: -381600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (54\/5)\/(40\/(-150)). Let b = z - -247\/6. Factor -b*y**3 + 2\/3 - 2\/3*y**2 + 2\/3*y.\nAnswer: -2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iisiiiiiiiiysiiisiii. Give prob of picking 2 i and 1 s.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -20635\/7 = -2947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + 8. Let g(x) = -5*x + 3. Let n be g(5). Let t = l + n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -72. What is the third biggest value in r, -11, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7115 - -7137. Calculate the remainder when 357 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 89.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 57, 3, -32, -4, 1 in increasing order.\nAnswer: -32, -7, -4, -1, 1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 1632.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/4 + (-57)\/(-12). Suppose -2*z + 11 = -0*b + 5*b, -7 = -z - b. Let w = z - x. Solve 0 = -w*l - 5*d, -5*d = -l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*n**5 - 3*n + 51*n - 58*n**5 wrt n.\nAnswer: -900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1983 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 80099, 160197, 240295, 320393, 400491, 480589?\n\"Answer: 80098*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 530213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(23 + -5*2139\/460) - -30.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007508 and -172.\nAnswer: 1.291376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 584?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -24*a + 34*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(j - j + j) + (2*j - 2*j - 2*j)*(-2 + 0 + 4) to m*j + p and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10*s = -0*s. Suppose 3*u - 3 = -12, s = 3*a + 5*u - 552. Calculate the highest common factor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2801371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 17*r + 18. Let x(i) = -6*i**2 - 4*i + 16. Let z be x(2). Let o be j(z). Solve -2 = o*f + w, f + 2*f = -4*w - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 6 - 2*u**4 + 19 + 210*u**2 - 805*u**2 - 11 in the form s*u + z + m*u**3 + j*u**4 + f*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402 - 64*j - 200 - 200 to g + b*j and give b.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 411113663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190 - -247. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.499992989 - -59.5. What is x rounded to 7 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k = -4*s + 32, 2*k - 4*s + 26 = 0. Let i(w) = -w**2 - 3*w + 7. Let g(m) = m**2 + 2*m - 6. Let y(f) = 5*g(f) + 4*i(f). Is y(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26918.046 - -26918. Sort 0.02, 0.01, i in increasing order.\nAnswer: i, 0.01, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3638.902688 to 1 dp.\nAnswer: 3638.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (40 - 0 - (-258 + 328))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 + -4.5. Let z = o + 5.9. Which is the biggest value? (a) 2\/7 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 47)\/((-104)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-330)\/40)\/11)\/(66\/(-16))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259 - -275. Calculate the highest common divisor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -14*v**3 + 4*v**2 + 8*v + 5. Give x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -16*k. Let h(c) = -57*c**2 - 39*c - 78. Let m(b) = 3*b**2 + 2*b + 4. Let i(q) = 6*h(q) + 117*m(q). Determine i(v(w)).\nAnswer: 2304*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p + 114 = 2*x, -5*p + 100 = -5*x. Let l(k) = k**3 + 3*k + 2. Let v be l(-2). Let g = v + p. Is g 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 1548989878?\nAnswer: 2, 23, 33673693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 0*c**4 - c**4 + (283 + 36 + 72)*(5*c**3 - 2*c**4 - 5*c**3).\nAnswer: -785*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 13*a**5\/15 - 19*a**4\/24 - 37*a**2. What is the second derivative of k(h) wrt h?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22950205?\nAnswer: 5, 23, 199567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/2256 and 7\/282?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1794 + 1810. Calculate the remainder when 188 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167808532 a multiple of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*6\/(-18) + (-9)\/27. Let q(d) = -d**2 - 6*d + 3. Let s be q(-6). Solve -s*i + z*i - 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 10*z - 13*z, -c + 9 = 5*z. Suppose -i - 2*i = -z*i. Let a(o) = o**3 - o**2 + 25. Give a(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 0, 529, 594?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -8*k - 420. Suppose 147*j**5 - 9*j**3 + 60*j**2 + 48 + 12*j - k*j**4 - 48 = 0. What is j?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 + 0.125.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 60*f - 55*f. Solve 10*o - f = 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2283673?\nAnswer: -5\/2283673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64283*h - 4*p + 8 = -128563*h + 64278*h, -4 = -5*h + 2*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1461*p = 162*p - 7072*p + 33484 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**3 + 6*i**2 - 7*i - 1. Let o(p) = 15*p**3 - 13*p**2 + 15*p + 2. Let j = -120 + 126. Give j*o(v) + 13*t(v).\nAnswer: -v**3 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-14)*1*(-84)\/(-342). Is -0.07 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 439 - 283. Suppose 2*f - 7*f = -5, 5*x = 4*f + c. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 12, -80, -5, -40 in decreasing order.\nAnswer: 12, 3, 1, -5, -40, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 11 + 2 + -22 - 37 - -4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, -0.3, -139659 in descending order.\nAnswer: 1\/17, -0.3, -139659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 4 + 5*i + 44 + 10. Let f be l(-8). Let b(t) be the second derivative of -t**5\/20 + t**3\/2 - 3*t**2\/2 - 6*t. What is b(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(8\/((-8752)\/(-2187)) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-13) - ((-7548)\/52 - 2). Let q(r) = 7*r**2 - 2*r - 5. Let n be q(4). Let p = j - n. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428368, 856732, 1285096, 1713460?\nAnswer: 2141824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*a + 20, -3*h + 0*a = -5*a - 25. Let i be (1 - (-1 - h)) + -208. Let w = i - -338. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000202022110 (base 3) in base 15?\nAnswer: abcb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 356182 > 10329306\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1 + sqrt(228))*-6 + sqrt(228) - ((sqrt(228)*2 + sqrt(228))*5 - sqrt(228) - sqrt(228)))\/(4*(sqrt(768) - 2*sqrt(768))).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytch when four letters picked without replacement from xccxhhxytycchchch?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w + 2. Let t be o(-2). Let y be (-2)\/t*8*-2. Let g = 17 + y. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (1 + -3 - (-37 + 30)) + -13\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214072*r**2 + 235440?\nAnswer: -428144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 461556127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3764*q - 948*q - 940*q - 944*q - 943*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 89.09544 decades?\nAnswer: 8.909544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -5 - (-23)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1537 + -919. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*u = 1, 4*l - 2*u + 27 = 79. Suppose -5*r + t = -142, -3*r + t = 6*t - 102. What is the remainder when r is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.5, 3\/5, 1\/28?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-8))\/(d*(d**17\/d)\/d))**(4\/5) assuming d is positive.\nAnswer: d**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 5. Let w be y(-7). Suppose -10*l + w*l = 2658. Let r = l - 217. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09216 - 0.24392. Round y to three dps.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172.7 - 170.6. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 76820 (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11)\/(110\/(-26364)) + 6\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118aa20 (base 11) in base 3?\nAnswer: 10212212122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -9 + 44 + -28).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*6883560.\nAnswer: -137671.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(68) + (-3 + sqrt(68) - sqrt(68) - sqrt(68)) - sqrt(68) - (0 + sqrt(68) + 0)) + 4)**2*-2.\nAnswer: -594 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*q - 30, 2*q + 7321*r - 7320*r + 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*h + 19, -2*r - 10 = 2*h - 4*h. Let y be 1*r*(2 + (-42)\/6). Solve y*n = 3*q + 20, 3*q + 2*n = -q - 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.279 rounded to one dp?\nAnswer: 79.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 3*v - 2. Let b(g) = -g + 7. Let x be b(7). Let s be u(x). Is s\/(-6) + 5268\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -47. Let g = -16 + m. Suppose 66 - 60 = g*l. What is the biggest value in 0.2, -5, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 20 = 3*x - 5*k, 4*x = -5*k + 15. What is the third smallest value in x, 0.19, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 663941 divided by -1\nAnswer: -663941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394390?\nAnswer: 2, 5, 139439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 284 - 6*y + 8*y - 287)*(6 + 2*y**2 - 6) + y**2 + y**4 - y**2.\nAnswer: 3*y**4 + 4*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 2)*(-116)\/(-12). Let o = 18 + w. Let a = -26 - o. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -1.97. Let o = -5 + 7. Let c = -1 + o. What is the biggest value in -5, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618053814 minus 10545?\nAnswer: -1618064359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 515 = 6*g + 550, -g - 13*y + 174 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3\/3 + 5*v**2 + 26*v - 14. Let g be y(-4). Solve 10 = g*q - 5*m, -2*m - 2 = 2*q + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 0*m + m)*(20*m**2 - 57*m**2 + 20*m**2).\nAnswer: 85*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 4) to base 15\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 56 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 - v**3 + v**3)*(2 + 4 - 3) + v**3 - 3*v**2 + 2 + 9*v**2 + 0*v**3 in the form d*v**2 + c*v**3 + o*v + t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 - 303. Let i = 103.5 + r. Which is the nearest to 0.2? (a) 6 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79.95 + 80. Let o = 0.35 + l. Put o, 1, -1 in ascending order.\nAnswer: -1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 1. Suppose 3*x = x + 8. Suppose i + 11 = x*i - 5*c, -5*i - 5*c + 45 = 0. Let u(m) = -14*m + 2*m**2 + i*m + 8*m + 6. Calculate 4*h(l) - u(l).\nAnswer: 2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 0.5, -21, -6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/((-1)\/(-7)*2850\/855).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3929.41 years in millennia?\nAnswer: 3.92941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1882365\/99269 - (-2)\/53.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -4 - (4 + -3). Let j = -110 - -118. Let p(u) = 51*u**3 + 37. Let r(s) = -76*s**3 - 56. Let o(w) = g*r(w) + j*p(w). Differentiate o(v) wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 22, -15, -58?\n\"Answer: -3*d**2 - 22*d + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -39*g**2 - 155*g + 2. Let r be o(-4). Which is the second biggest value? (a) 2\/5 (b) 11 (c) r (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 4*m**2 + m - 1. Determine l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7)*x**(2\/35)*x*x**(-8)*x*x*(x\/x**7)\/x)**(-37) assuming x is positive.\nAnswer: x**(16021\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 585 or 4717?\nAnswer: 585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6366 - 1?\nAnswer: 6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + r)*(-74 + 143 + 361)*(3 + 1 - 3)*(2*r + 0*r + r)*(0*r + 3*r - r).\nAnswer: 5160*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4828.8019 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + v + 213, 14*n = 13*n + 5*v + 193. Let w = n + -218. Factor w - 2\/5*m**2 + 2\/5*m.\nAnswer: -2*m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**3*(d*d**(-1\/2))**(-23) assuming d is positive.\nAnswer: d**(-127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 8*q**2 + 7*q + 7. Let s be k(-7). Solve -s*i + 3*i + 23 = 3*h, 8 = -i + 2*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 2*d**3 + d**2 + (d**3 + 2*d**3 - 4*d**3)*(2 - 4 + 3) + 2759*d**3 + 1734*d**3 + 623*d**3 in the form u*d**3 + m + n*d + a*d**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*(-36)\/(-8). Solve -x = -t*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + s - 4*s + (-1 - 1 + 1)*(4*s - 2*s + 0*s) + 31*s + 9*s - 69*s.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2. Let q(v) = v**3 - 9*v**2 - 11*v + 13. Let g be q(10). Let x(h) = g*h - 2*h - 2*h - h. Give x(a(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -42492400 to the nearest 100000.\nAnswer: -42500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 4. Suppose y*i + l = 207, -49 + 324 = 5*i - 2*l. Suppose -x - 5*q = -59, 4*q = 2*x + q - i. What is the remainder when x is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -6, -42, -92 in descending order.\nAnswer: 5, -1, -6, -42, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8423, -16855, -25289, -33725?\nAnswer: -42163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*x + 17 - 5, -x = -b - 8. Let j = 0 - 0. Suppose j = -3*m - x*z + 83, 5*z - 119 + 7 = -4*m. Solve 5*w - 8 + m = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 79*c + 133. Let m(y) = -y**2 - 20*y - 91. Let n be m(-12). What is the units digit of g(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnuaneenuqqqqqa. What is prob of picking 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 2. What is the second smallest value in 5\/6, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*o**2 - 14 + 3*o - 26*o**2 + 133*o**2 as u*o + b*o**2 + p and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s - 62*s + 28*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 13 = -6*u + 4*r, -10 = 5*r. Let y(q) = 3*q**2 - 2*q + 11. Let z(g) = g**2 - g + 5. Let s(w) = 4*y(w) - 9*z(w). List the prime factors of s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -33 + 7 + 32.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 308 + -306. Let m(o) = -1. Let i(s) = 2*s - 4. Let v(h) = -i(h) + 3*m(h). Determine v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34*-584\nAnswer: -19856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 49*t**2 + 7*t + 399. Give u(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6967 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - -32. Let m = k - 73.5. Which is the third biggest value? (a) m (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 + 4*m + 1. Let l be p(0). Which is bigger: l or 1\/40?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21170 and 310097.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2935885753 to the nearest one million.\nAnswer: 2936000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**1*i))\/i*i)**(1\/40)*(i**(-2\/3)\/i)**(-2\/3))**18 assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 966913365 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-16)*((-35904)\/306)\/44?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1139 + 1139.04. Which is the second biggest value? (a) t (b) 10\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5919.35505 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34 - 3*v**2 - 69*v + 19 + 52 + 0*v**2 wrt v.\nAnswer: -6*v - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, 0.064, 1, 6 in decreasing order.\nAnswer: 6, 3, 1, 0.064, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 4*r - 192. Let s(a) = -41*a + 177. Let f be s(6). Let m = r - f. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-5)\/(-2))*3. Suppose -s - 10 = -0*s - 2*a, 2*s = -5*a + 16. Do d and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**5\/4 - k**3\/3 + 15*k - 7. Let l(y) be the first derivative of p(y). What is the second derivative of l(g) wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6678 + -1090.836235.\nAnswer: 5587.163765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcz when three letters picked without replacement from {v: 8, q: 1, s: 1, z: 5, c: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/12)\/((-16)\/32).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 33 - 29, -4*b + 4*x = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 64 - 13243. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120, 192, 216, 192?\n\"Answer: -24*q**2 + 144*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -8491 - 3994. Let q = -530 + d. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701383689?\nAnswer: 3, 19, 23, 178333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4)*-2)\/(6\/(-24)). Let q be g\/6 + ((-588)\/18)\/(-7). Suppose 0 = -0*l + l - 4. Solve 0 = -p + q*s - 13, p + l = -2*s + 3*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1*(50 - -11)*1. Sort 3, j, -4, 5 in decreasing order.\nAnswer: j, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1687 + -1690.882. Let p = x - -0.122. Round p to one decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693350 is divided by 355.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 5*v - 2*v**3 + 1 + 6*v. Determine n(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 1483?\nAnswer: -43\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - ((-24)\/56 + 30\/21). Suppose -150 = -z*y - 2*d + d, -324 = -4*y + 4*d. Calculate the highest common factor of 187 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - 3) + -6 + 24 + 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96224, 192424, 288624, 384824, 481024, 577224?\n\"Answer: 96200*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 27*g = 0 for g.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 294910 divided by -14?\nAnswer: -21065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n - 7. Let d be k(5). Suppose -15*m = 12*m. Suppose 4*z = -4*x - d + 142, -3*z - 4*x + 97 = m. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1079593498 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -c - 2 - 10, 16 = -3*c + 5*j. Is (c + -1)\/((-2)\/(-233)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974605.8 rounded to the nearest one thousand?\nAnswer: -2975000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:19 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*v + 319000 = -167*v. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9021 + -3889. Suppose 23*o = 27*o - f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 + 34 = 5*c, 0 = 2*c - 2*w - 8. Suppose 0 = -2*x + 4*a + 76, 187 = 4*x - 0*a - a. What is the highest common divisor of c and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 393, 395, 397, 399, 401?\n\"Answer: 2*d + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntarl. Give prob of picking 1 n and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*t + 6 = -2, 8 = 2*x - 4*t. Let n be 1*(x + 3 - 4). Let m(g) be the second derivative of g**5\/4 - g**4\/12 - 85*g. Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 8 + 6)*(-2*i**3 - 5*i**3 + 5*i**3) + (-2 - 3 + 3)*(2*i**3 - i + i))*(3*i**2 - 2 + 2 + (3 - 4 + 2)*(4 + 4*i**2 - 4)).\nAnswer: -182*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.620745 to 2 dps.\nAnswer: 75.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a. Let c(h) = 26*h**2 - 4*h. Let t(f) = -f. Let w(o) = -c(o) + t(o). What is w(l(y))?\nAnswer: -104*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4 - (-2)\/4. Let f = -10 - -9. Which is the second smallest value? (a) f (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*u, -3*u - 1511 = o - 1511 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4*-3)\/(-6) + 16. Suppose 210 = z*r + 48. Solve 3*p - r = 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2\/7 (c) -97 (d) 4\/3 (e) 5 (f) 0.051\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-70)*1)\/(71\/12070*-34).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 860.20382014 and 2?\nAnswer: 858.20382014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.3 (c) 3\/28 (d) -3251 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 38 = 36 - 100. Let i = 0.4 + 1.6. Let c = i - 7. What is the closest to -0.4 in z, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*s + 7 - 28, 5*s - 2*j = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2))**(-43)\/(((n**(-7\/5)*n)\/n)\/(n\/(n\/((n\/(n**(-2\/3)*n)*n)\/n*n*n)))))**(-25\/6))**(13\/3) assuming n is positive.\nAnswer: n**(-87815\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + 2383*x**2 - 98976*x + 988992 = 0. What is x?\nAnswer: -2424, 17, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:44 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74737998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.240291 take away 55.7298399?\nAnswer: -55.4895489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 102*p**2 - 112*p - 533. What is the thousands digit of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/2 (b) -0.4 (c) -1\/17 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(475) + -1) + (1*(-2*sqrt(95) - sqrt(95)))\/sqrt(5) + -1.\nAnswer: -28*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvdf when four letters picked without replacement from cfcycvcvd.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1967427, -1967370, -1967313, -1967256, -1967199?\nAnswer: -1967142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -1\/4*s**4 + 0 - 1\/14*s**7 + 0*s**3 - 2*s + 0*s**5 + 0*s**2 + 0*s**6. What is the third derivative of g(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-44)*(c*c\/c**29)\/c)\/(c*c**(-1\/4)*c**(-19)) assuming c is positive.\nAnswer: c**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 - 36.36. Let u = 35.98 + i. Which is the second biggest value? (a) -4 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/4 - (-9)\/36. Let x = 4 + b. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 15. Let r = 12 - 25. Let g = r - p. Which is the third smallest value? (a) -0.1 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -387, -2\/9, 12?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 58.9. Let m = 14.81 - 22.91. Let i = m - o. Is -22 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 315*w + 1 + 24 + (-1 - 1 + 1)*(-5 + 5 - w) as h*w + y and give h.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 10. Give w(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 9bc7c1?\nAnswer: 9bc7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11\/59667 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13447, -3, -0.4, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-36))\/((-2)\/(-40)). Suppose -v*j = -0*j - 325. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + sqrt(539) + -3 + 2 + -4*sqrt(539)*4 + 4*-6*(-5*(sqrt(539) + 2) - sqrt(539)))**2.\nAnswer: 434980*sqrt(11) + 9166221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*n**3 - 1 + 132*n**3 + 1 - 258*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -50\/3, 0.991644.\nAnswer: -50\/3, 0.991644, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c + 0*c - 16*c to the form n + u*c and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 487389?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63544115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 15, 1 = -4*l - k - 0*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7728*x - 25149*x**2 + 7728*x.\nAnswer: -25149*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-15)*(-30)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -115. Let k be (-20)\/(-3) - (-2)\/(-3). Sort -1, k, s in descending order.\nAnswer: k, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 1 - 1 + 0*i**3 - 3*i**3 - i**3 + (4*i - 3*i - 3*i)*(3 + 4*i**2 - 3) to y*i**2 + z*i**3 + o + c*i and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7666.3 and -0.01?\nAnswer: 76.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 106*((-15)\/(-1620)*9 - 1\/4) and -21\/118.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -b + 98. Suppose 3*k = -5*j + 633, 3*k - 383 - b = -j. Suppose 3*d + 5*r + k = 567, 5*d = -3*r + 569. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -9 - (1 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 w, and 1 y when four letters picked without replacement from wkdwwxddwdxxyxdkkwdk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219 at most as big as -1220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1\/10, -31\/2, 3\/7 in increasing order.\nAnswer: -31\/2, 1\/10, 3\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(475) + (sqrt(475) + sqrt(475) + 1 - sqrt(475)))*-1 + 2*(-1 + sqrt(2736)))**2.\nAnswer: -84*sqrt(19) + 3738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*s + 1133 + 462. Let r be (2 - 3) + (2 - 1). Let c be s\/(r - 5)*5. What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -18, -14, -12, -12, -14, -18?\n\"Answer: -j**2 + 9*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 102350000 to the nearest one million.\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m - 23 - 161 = -30 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + 21.5. Let t = m - 22. Let h = 22\/85 + -1\/17. Which is the closest to 1\/2? (a) 0.5 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, 1\/22345973, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*m + 9299, 9269 = 11*m - 8*m + 2*q. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -10*g**7\/21 + g**6\/15 + 19*g**4\/4 - 3*g. What is the third derivative of k(a) wrt a?\nAnswer: -1200*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 3)\/((-13 + -5)\/(-18)). Which is the closest to 0.2? (a) -1 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 8821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c - 3. Are 0 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1507?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61604051 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1174392504?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -10100010202000?\nAnswer: 10100010202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1022\/(-18) - 2\/9. Let l = f + 82. Let v = 0 + 9. Calculate the remainder when l is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 11 - 32*m + 8 in the form j*m + h and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 7*x**2 + 12*x - 7. Let w be y(5). Suppose 0 = -0*r - 3*r - 2*m + 7737, w*r = -m + 7737. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/(4*1 - 2). Let s(n) = 2*n**3 - n**2 + 1. Let c be s(1). Suppose 5*z = 3*y - 5, c*y + z = -y + a. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1988 and 12443744.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*r = 171 - 55, 220 = 5*o - 3*r. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45739.24 years in millennia?\nAnswer: 45.73924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -710 - -712. Let u = -30 - -28. Let p be (u\/30)\/(4\/8). What is the third smallest value in p, 0.9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 58130 + 26840. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/10 and -73\/658930.\nAnswer: 658930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.973 and -662473.\nAnswer: -662470.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*f + 1299 = -1280 - 2916 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-49710)\/(-13) - (-468)\/3042.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.625817566 rounded to five dps?\nAnswer: 0.62582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d - 4*k, -4*d + 7*k - 3*k - 12 = 0. Is -117\/14 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(135\/(-114)) + (-12)\/3. Let h = -0.443 + -11.557. Let w be (0\/(-2 - -3))\/(-1). Which is the closest to w? (a) -1 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 4*t**5\/5 - 4*t**3 + 4*t**2 - 8. Factor v(o).\nAnswer: 4*o*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) 1 (c) -3 (d) -3.53 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2570263, -5140771, -7711277, -10281781?\nAnswer: -12852283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -6)\/((-18)\/2*2\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - b - 0*b - 27, -b + 3 = w. Suppose 774 = -5*k + w*d - 9*d, 4*k = -5*d - 621. What is k rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*v + 120 = 0, 4*t + 6*v + 95 = 3*v. Let b = t - -55. Suppose -4*a - q = -5*q - b, -5*q = 5*a - 40. Solve -a*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {e: 1, c: 3, v: 1, u: 1, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 3308848.\nAnswer: 3308857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277885 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(3) + sqrt(15)\/(sqrt(5) + sqrt(80)))**2 + (sqrt(192) + 0)*1.\nAnswer: 208\/25 + 76*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319103580.\nAnswer: 2, 3, 5, 67, 79379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(70) - 5*((sqrt(70) - (sqrt(70) - (sqrt(70) - 1*sqrt(70)))) + sqrt(70)))\/((sqrt(120)\/(-2*sqrt(2)) + sqrt(60) + sqrt(60))\/(sqrt(726)*2)))**2.\nAnswer: 1355200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 + 8*k**2 - 94. Let z(x) = 3*x**3 + 5*x**2 - 63. What is 5*l(c) - 8*z(c)?\nAnswer: c**3 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16744 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**3 + j**2 + 9570*j + 28714. Give i(-3).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzx. Give prob of picking 2 z and 1 x.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1827613 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1523938 or 1523940?\nAnswer: 1523938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 6*a**2 + 12*a**2 - 30*a**2 + 15*a**2 + a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 23. Let v be g(8). Which is greater: 26 or v?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 5)\/(12\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.380009 to 2 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11976 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 108 = 3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 16 - 10 - 3*b + b**2 - b. Suppose 3*m + 5 = 4*m. What is the units digit of w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = s. Solve -s*m - 9 = -0*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 8, -5\/3, -0.3 in ascending order.\nAnswer: -5\/3, -0.5, -0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 2*x - 3*x + (-4 - 3 + 5)*(x - x - x))*(-10 - 10 + 6)*(x - 2 + 2) to the form y + z*x + a*x**2 and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = 2*n, 1282*n - 1279*n - h = 17. Let k(g) be the first derivative of g**3\/3 - 7*g**2\/2 - 3*g - 2. What is k(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 - 3*d**5 + 3*d**5 + (3*d - 3*d - 2*d**3)*(-2*d**2 - d**2 + 4*d**2) + 3 + d**5 - 3 - 16*d**5 - 11*d**5 - 5*d**5.\nAnswer: -30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1 + -3) + 3\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26000233 and 42?\nAnswer: 156001398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**3\/6 + 99*y**2 - 2*y + 161. Let r(m) = m**2. Determine r(a(j)).\nAnswer: j**2 + 396*j + 39204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*l**3 + 0)*(-3*l + 5*l - 3*l) + (3*l + 0*l + 0*l)*(-51*l + 50*l - 76*l)*(-2*l**2 + 3*l - 3*l) + 0 + 3*l**4 + 0.\nAnswer: 468*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m. Let z = 1100 + -646. Suppose -2*o = -4*v - m*v - 238, 0 = 4*o + 3*v - z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17*y - 1. Let x = -39 + 69. Let m(i) = -i**3 + 30*i**2 - 2*i + 59. Let q be m(x). Determine b(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.553 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 3*u - 53. Let i = -23208 - -23214. Give n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (390 + 195 - 130)*(2*p**3 - 3*p**3 - p**3 + (1 + p - 1)*(0*p - 2*p**2 + 0*p) + p + p**3 - p) as q*p + o + w*p**2 + c*p**3 and give c.\nAnswer: -1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 27*h - 1300 = -1111 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 6*p**2 - 7*p + 52. Let z be s(6). Solve -z = -2*k + 4*r, k - r - 5 = 4*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**4 - 5*k**3 - 4*k**2 - 5*k. Let y(r) = 3*r**4 - 4*r**3 - 3*r**2 - 4*r. Suppose 8*f = 4*f + 20. Let o(g) = f*y(g) - 4*z(g). Solve o(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -5, -37, -105, -221, -397?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2534670 by 422445.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + (-101 - (49 + -63)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -745, -739, -735, -733?\n\"Answer: -p**2 + 9*p - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -73, -41, -9, 23, 55?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.927899 and 0.4.\nAnswer: 6.327899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 16*n = 0. Suppose -5*y + y + 672 = n. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 3 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*g - 12, 5*b - 6 = 2*g + 5. Suppose b*d + 3*x - 51 = 36, 139 = 5*d + 3*x. Let f = d + -76. Round f to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4393*n + 46749 = 2381*n + 8809*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2667.\nAnswer: 8001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 = -204. Let m = -26 - u. Suppose -5*s + 30 = -2*s + 3*f, 5*f - 38 = -m*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + k**2 + 2*k + (k + k - 3*k)*(5*k + k - 4*k) + (749 - 749 + 53*k)*(k - 4*k + 5*k).\nAnswer: 105*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 315*p + 3552. Give x(-13).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47792609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y - 9. Let j be m(-9). Suppose 6*q - 4*q = 10. Suppose 39 = q*b - 2*c, 5*b - 3*c - j = 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/577669 and -4\/205611?\nAnswer: 12131049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61945*l + 38*l**2 + 61943*l + 61938*l + 61947*l - 247773*l.\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 832, 1, 86.\nAnswer: 1, 86, 832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from ttytvhttthhht?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -80*x + 2705. Let w be r(34). Put -13, w, -2, -4 in descending order.\nAnswer: -2, -4, -13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*c = 26, 4*h = -5*c + 6 + 35. Solve -11 = -h*y - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*v - 43. Suppose 0*c + 8 = 4*c. Suppose 10 = c*f - v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 36, -245 in descending order.\nAnswer: 36, 3, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20442*g**2 - 6257*g**2 + 15047*g**2.\nAnswer: 29232*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142, -1030, -3404, -7996, -15538?\n\"Answer: -122*a**3 - 11*a**2 - a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s\/(s\/(s*s**(-4\/7))*s*s)*s)\/(s**7\/s)*s**(-9)*s\/(s\/(s\/s**(1\/8)*s)*s) assuming s is positive.\nAnswer: s**(-655\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 704513613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28721 and 3?\nAnswer: 28724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17185889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + o**3 + 2 + (-4*o - 2*o + 5*o)*(2*o**2 + 0*o**2 - 3*o**2) - 56*o + 9731*o**3 - 4861*o**3 - 4869*o**3 to c + s*o + m*o**2 + t*o**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + o - 1)*(4 - 6 + 3) - 3*o - 2*o + 3*o + 20*o + o - 5*o)*(0*o**4 + o**4 - 2*o**4).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2\/15 + 4834*q\/3 - 16116\/5 = 0.\nAnswer: -12087, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 6. Let h be i(8). Suppose -3*f + 4*f + a - 3 = 0, -4*f + 2*a + 30 = 0. Calculate the remainder when 15\/h*4\/f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from wryggrwrwdywrkd?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zufzinnqi. What is prob of picking 2 i and 1 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 5815 and 6418 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Solve 4*t + 4*i + i - 2 = 0, 4*t + 4*i - w = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/96)\/(1*15\/(-9))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2554, -4012, -5470, -6928?\nAnswer: -8386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 595 - 599. Sort 1, 2, f, -8.\nAnswer: -8, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 16) to base 13.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 21*s**2 - 25*s + 102. What is h(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2652544 and 7360?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19493200 by -100.\nAnswer: -194932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8 + (3 - 9 - -2) - -76?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118317481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j - 2*j**3 - 9234672*j**2 + 9234672*j**2.\nAnswer: -2*j**3 + 57*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4 + 827438*i**3 - 16622825*i?\nAnswer: 36*i**2 + 4964628*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/5 (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 + 0)\/1)\/((-3)\/6). Let d = s + -1. Sort d, 2, 10 in ascending order.\nAnswer: d, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10282471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*y - 13062 - 10979 + 2663 + 3477 for y.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 67*s - 5. Let c(b) = 113*b - 44. Let o(m) = 229*m - 97. Let d(a) = 9*c(a) - 4*o(a). Calculate -5*d(r) + 8*j(r).\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*d + 32852 = 146*d + 10988 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/24*(-3)\/(-4). Sort 4, 0.5, r.\nAnswer: r, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 - 5.5. What is the second biggest value in 0.17, 0.2, t?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2397 + 0*i + 2388 - 2*i. Determine u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3961\/58299 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l. Let d be r(1). Let a(f) = -4*f + 1. Let x be a(7). Let p = -16 - x. What is the highest common factor of p and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-5))\/(8\/60). Let w(u) = -9*u - 10. List the prime factors of w(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 6 + 34)*(9*x + 16*x - 31*x).\nAnswer: -306*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 77159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -818 (c) -4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000079574867 rounded to 7 decimal places?\nAnswer: -0.0000796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3592640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1844 divide 2570134008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1953 = 46*g - 41*g, 3*u + 2*g - 2946 = 0. What is the highest common factor of 7134 and u?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ojttttttjtottjt?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.34 - -3. Let c = -0.24 - h. Let i = 0.1 + 0.3. What is the third smallest value in c, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, 2, -3, 45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26)**(-6\/7) assuming a is positive.\nAnswer: a**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3573, -20860, -65579, -151446, -292177, -501488, -793095, -1180714?\n\"Answer: -2286*b**3 - 1285*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/7 - 45*d**2\/7 - 54*d\/7 + 312\/7 = 0. Calculate d.\nAnswer: -13, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61, 127, 191, 253?\n\"Answer: -r**2 + 69*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9605 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 11*b**2 + 3*b + 33. Let u be a(-11). Let i(r) = -2*r**2 - 11*r + 1453. What is the units digit of i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.628 - -6.372. Put -1.4, 3, -1\/3, t in decreasing order.\nAnswer: t, 3, -1\/3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612725910?\nAnswer: 2, 5, 17, 727, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-15)\/2 + 7). Let b be (f - -3) + (-15)\/(-5) - -3. Let n = -4 + 1. Sort n, -2, b, 5 in decreasing order.\nAnswer: 5, -2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -413 and -21.\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5455570*u + 14*u**3 + 5455570*u.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - 3*t)*(-5 + 4 - 1) + (12 + 2 - 4)*(2*t + 2 - 2).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3093\/2 + -705205\/456. Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l**2 - 53*l - 58. Let o be a(-2). Solve -2*c + 2*c**3 + 0 + 2\/3*c**o - 2\/3*c**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1 (b) -4 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.38 - -20.378901. Round m to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jullmymcljmy. Give prob of sequence cm.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (40 + 68 - 29)*(-t - 1 + 1) - 17 + 17 + 6*t as q*t + l and give q.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - l - 6, -4*d + 20 = 4*l - 4. Suppose -5*r + 0*j - j = -163, 0 = 4*r + 2*j - 134. Let b be (r\/3)\/2*(-9)\/(-20). Is b less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 473460099?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4405 - -6411. Let q be (z + -6)\/((-1)\/(-50)). Round q to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 - 4*d + 3. Let k(x) = -8*x**2 - 8*x + 5. Let n(c) = c**2 + 4*c - 5. Let h be n(0). Let g(p) = h*v(p) + 3*k(p). Let g(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 909754640 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from xsssuorxubsx?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 646545 + 23?\nAnswer: 646601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-7))\/(t*(((t*t**11*t)\/t*t)\/t)\/t*t) assuming t is positive.\nAnswer: t**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/13))**(-34)\/(x**(-2)*x\/(x*x*x**(2\/21)*x*x)))**(-2\/65) assuming x is positive.\nAnswer: x**(12926\/17745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*y - 3*u, -56*u = 2*y - 51*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7432 or -7442?\nAnswer: -7432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + 1 + (-34 - -26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*v, 5*v - 15 = 36*g - 39*g. Let d(s) be the third derivative of -1\/24*s**4 + 2*s**2 - 4\/3*s**3 + g + 0*s. Calculate d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0263425 rounded to 4 decimal places?\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 17*c**2 - 16*c**3 - 7*c**2.\nAnswer: -16*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 430183934 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1142, -805, -466, -125, 218, 563?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**3 + 7*z**2 + 25*z. Let y(p) = p**3 - p**2 - 5*p. Let q(m) = a(m) + 4*y(m). Let s(g) = g**3 + g**2 + g. What is q(h) - 4*s(h)?\nAnswer: 6*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-22)\/6 - -3). Let z be (-20)\/8*d\/10. Let r = 0.5 + -0.4. Is r at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -2\/27, 10, -2\/7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4255*y**2 + 2013553*y - 317471455. Let l(j) = j**3 - j**2 + 4*j + 2. Let q(x) = 2*l(x) + p(x). Suppose q(v) = 0. What is v?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2007\/9366)\/(6\/(-16)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1758*v - 7516 = 7858*v + 4684 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let p(d) = -d + 14. Let s be p(8). Let v be (8\/s)\/((-16)\/(-24)). Solve c*a + v*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -80905010?\nAnswer: 80905013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 14. Suppose 2*r = 2 + 22. What are the prime factors of u(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:19 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(10\/7)*l)*l**(-1\/42))**(-47))**(9\/4))**3 assuming l is positive.\nAnswer: l**(25803\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 7. Let u be h(6). Let x = 22 + u. Let m = 29 + x. 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 -108839, -108848, -108857, -108866, -108875?\nAnswer: -108884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11715 greater than -2893551\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 8*w - 1. Let g be u(6). Suppose 533 = 10*v + 493. Solve -4*f - 22 = -2*x, 3*x + g = -v*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -150. Let k = z + -80.000069. Round k to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 2*h + 3. What is m(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfi when three letters picked without replacement from {n: 5, x: 1, r: 7, i: 3, f: 2}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34190 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15297641 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 plus -121081.262?\nAnswer: -121221.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(21*(-23)\/(-1449)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 55, 94, 133, 172, 211?\n\"Answer: 39*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694797626 + 0*n + 0*n - 694797626 + 37*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, a: 8, r: 2, i: 6}. Give prob of sequence mi.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v\/v**(1\/3))))\/v*v\/((((v*v\/(v*v\/(v\/(v*v**(-3\/16)))*v))\/v*v)\/v*v)\/v))\/((v\/(v\/v**(1\/6)))\/v*v**3\/v) assuming v is positive.\nAnswer: v**(37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b - 21. List the prime factors of l(-14).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.2 (b) -1\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:58 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 21675?\nAnswer: 86700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 7, h: 5, r: 1, k: 3}. What is prob of picking 1 u and 2 t?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 0.7728, -2387.9?\nAnswer: 0.7728","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 101, 139, 177?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 363587767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = -3*y. Calculate the least common multiple of 16*(y + (-3)\/1) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8237 + 8246. Let h(x) be the first derivative of l + 3\/2*x**2 - 1\/2*x**3 - 3\/16*x**4 + 6*x. Let h(s) = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -0.7?\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.71, -125, 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 24. Suppose -h + 1 = -3*q, 2*q - m*q = 5*h + 55. Is 8 a factor of 7 - -7 - h\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (-2 + sqrt(448))*2 + (sqrt(448) + 3*sqrt(448)*-2 + sqrt(448))*-4)**2.\nAnswer: -580804 + 8064*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + -102100022111211?\nAnswer: -102100022112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 14353?\nAnswer: 14355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 45*h + 221. Is m(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50578 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 96.17181 kilometers?\nAnswer: 96171810000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(5))*-1.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*sqrt(396)*-4 - (sqrt(121)*2*-5 - sqrt(121))\/(sqrt(11) + sqrt(55)\/(sqrt(15)\/sqrt(3))).\nAnswer: -373*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164*g**4 + g**3 + g**2 + 158*g - 709591 wrt g?\nAnswer: 656*g**3 + 3*g**2 + 2*g + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:40 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 28*u**2 + 104*u - 5. Is b(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260173 is divided by 227.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97749 < 97749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08630303 plus 0.15?\nAnswer: 0.06369697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 225, 1, 0.3 in increasing order.\nAnswer: 0.3, 0.4, 1, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -163898?\nAnswer: -491694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -2\/17, -1, 2, -2 in descending order.\nAnswer: 2, -2\/17, -1, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/50924 and -31\/4408.\nAnswer: 1935112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 34 + 16. Suppose -p = 0, -4*p - 712 = -i - w*i. Is i a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/((-468)\/(-60))*4\/(-5). Let c = -4 - -4.08. Let o = -5.3 - -0.3. What is the second smallest value in c, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 44550?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*w - 405, -2*w - 3*w - 540 = -4*i. Let m be ((-1495)\/(-2))\/(704\/128). Let b = m - i. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/238180 and 23\/47970?\nAnswer: 1142549460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8791 + -8790. Which is the fifth smallest value? (a) r (b) 3\/4 (c) 0.2 (d) 15\/2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32490?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = k + 1584. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 7:05 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-81140)\/(-25) + (-7)\/((-105)\/6). Suppose 9*f - 1695 = n. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 17. Let f(z) = -8*z - 3. Let c be 1 + 42\/(-30) + 14\/10. Let i(a) = 3*a + 1. Let p(r) = c*f(r) + 3*i(r). Give x(p(v)).\nAnswer: v**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198726648 to the power of 1\/2, to the nearest integer?\nAnswer: 34623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*60\/(-45)*(-2)\/(-12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1188\/(-27))\/176)\/(((-1)\/28)\/(-1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, -1893, 148 in increasing order.\nAnswer: -1893, -25, -2, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 1. Let j(f) = -3*f**3 + 6*f - 2. Let m(z) = 6*g(z) - j(z). What is the derivative of m(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20487.3 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*71733689\nAnswer: 35866844.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 22. Let v be d(-10). Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 681 and -16064.\nAnswer: -10939584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 65960.\nAnswer: 197880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368639 is divided by 480?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*9538287.\nAnswer: 47691435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -25*n - 43 + 58. Solve -4*r - 17*i = -16*i + 2, 7 = r + n*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238262925 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q\/(q\/q**(-33\/5))))))\/q**(17\/3))\/((q\/(q\/q**(2\/71)))\/(q*(q*q**35)\/q*q)) assuming q is positive.\nAnswer: q**(41434\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81676.6mm to micrometers.\nAnswer: 81676600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1347.31? (a) -3\/8 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 = -4*a - 4, 3*a - n - 8 = 0. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3 + 18*r + r**2 + 4 - 3 + r**2. Let y be j(-9). Suppose 2 = -y*o + 5*o. What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/28770 and 67\/57540?\nAnswer: 57540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*n**2*u**2 - 175*n**2 + 4567880*n*u**2 - 12*n + 14539 with respect to u.\nAnswer: 52*n**2*u + 9135760*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {b: 4, j: 2, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 13*m. Let g be 5 + 1 + (3 - (-1 + 6)). Let w(q) = -9 + g*q - 5*q + 9. What is w(u(j))?\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4560 by -38.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 - -0.16. Let r = -13.05 + l. Let j = 12.9 + r. Which is bigger: 1\/2 or j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 8 + (6 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - c**2 + 1 + 3*c**2)*(-25*c - 31*c + 11*c).\nAnswer: -90*c**3 + 135*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/10 - (-4)\/(-10). Let p be (-70)\/8 - v\/(-24). Let d be (14\/(-3) + 2)*p. Solve -n + 8 = -2*y, 5*y = 4*n - d + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*(-27)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -11*a**2 + 0*a + 1\/10*a**5 + 11\/24*a**4 + 3\/2*a**3 + 0. Let m(q) = q**2 + q + 1. Let p(g) = -5*m(g) + s(g). What is p(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 123 + -113 - -20?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8677 - -8680. Let j(s) be the first derivative of -20 - 18*s + 0*s**2 + 31\/3*s**c. Differentiate j(k) wrt k.\nAnswer: 62*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32222123 (base 4) to base 15\nAnswer: 12bde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c + 86. Give u(15).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/9 (b) 5 (c) -6\/11 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5bc6 (base 13) to base 11.\nAnswer: -9854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420124152 (base 6) to base 14.\nAnswer: -d7a804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55368 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 103*d**2 - 76*d**2 - 2*d.\nAnswer: -179*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 1, e: 2}. Give prob of sequence reeg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -590482674.2 rounded to the nearest one hundred thousand?\nAnswer: -590500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*t + 11, 5*l - 5*t - 22 = 2*l. Suppose -2*v = v + 51. Let c = -21 - v. Put c, 4, l in descending order.\nAnswer: 4, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((1*sqrt(720) + -4)**2 + (sqrt(720) + -2*sqrt(720) + -3 - sqrt(720))).\nAnswer: -600*sqrt(5) + 3665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(3\/2))\/(v**2\/v))\/((v*v*v**(7\/4)*v)\/v**(-1\/4)))\/((v*v\/(v\/(v*v**(-1)\/v*v)))**(11\/4)*(v**(-1))**(-14)) assuming v is positive.\nAnswer: v**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 14*w**2 + 77*w + 85. Give u(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -670, -1494, -2616, -4018, -5682, -7590?\nAnswer: -9724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/890 and -52\/24579.\nAnswer: 21875310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006499082 rounded to six decimal places?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.48. Let c = m - 0.81. Let x = c + -0.07. What is the closest to 1 in 0.5, 0, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/5))\/h**(-1\/18)*(h**(1\/4))**(5\/6) assuming h is positive.\nAnswer: h**(527\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3145544 (base 7) to base 6.\nAnswer: 12101302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 66 = -4*t - 8*f, 3*t + f + 55 = 0. Let l = -8 - t. What is the greatest common factor of l and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 944723111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -35. Suppose f - 3 = 4*d. Suppose 0*l + 12 = d*l. Calculate the remainder when 15 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379349?\nAnswer: 7, 339907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.4 (b) -5 (c) -0.015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.021 - 7.379. Let s = z - -7. Let l(d) = 2*d**2 - 6*d - 53. Let x be l(7). Sort x, -2, s.\nAnswer: -2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 3*l**2 - 11*l - 24. Let a be r(10). Let j = 678 + a. What is the hundreds digit of (-5)\/(-15) + j\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 - -2) - (-17 - -24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l + 15 = 0. Suppose 4*j - 13 = l. Let d(p) = p - 2. Let b be d(-1). Put j, b, 5 in ascending order.\nAnswer: b, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 + 8793*y**2 + 166038*y + 157248 = 0. Calculate y.\nAnswer: -2912, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*d*z**3 - 505431*d*z**2 + 117195379*d wrt z?\nAnswer: -273*d*z**2 - 1010862*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, -24.\nAnswer: -25, -24, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1394d6 (base 16) to base 9\nAnswer: -2365303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(180))\/sqrt(3))\/(sqrt(5) - 2*sqrt(320)))\/(-4*(2*sqrt(324) + sqrt(324))*-3).\nAnswer: -sqrt(3)\/2430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2750 and 6270?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -542*c + 274*c + 270*c - 37. Let n be x(19). Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 2, n: 1, m: 1, h: 2}. What is prob of picking 1 m, 1 h, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39948 * 451.\nAnswer: -18016548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*d + 474 = -3*x, 783 = 5*x - 4*d. Suppose -2*g = -0*p - 2*p - 102, -5 = -5*p. Calculate the remainder when x is divided by g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.05, -2, -21, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 7*a + 44. Let n(x) = -x**3 + 14*x**2 - 54*x + 39. Let w be n(7). Give j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*j + 394*d**4 - 4*d**3*j - 56*d**2*j - 3*d**2 - 27*j wrt d.\nAnswer: -48*d*j + 9456*d - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1785 and -4958?\nAnswer: 8850030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -3 - 3\/2*u**2 + 0*u. Let a be y(-3). Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -101*(-8)\/(-12)*((-131784)\/(-304))\/(-289).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 127, 188, 249, 310, 371?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.739 (b) 2\/5 (c) 5 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -18, 5, -33, 0 in descending order.\nAnswer: 5, 0, -11, -18, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 5*x**2 - 27*x - 6. Let g be f(8). Which is smaller: -1\/6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 11:45 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2794400408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6704240.4ns to days.\nAnswer: 0.000000077595375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150876 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.03162036?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 5*h**2 - 3*h + 3. Let g be p(-4). Calculate the greatest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.5 (b) 2\/35 (c) -2\/11 (d) 0 (e) -34 (f) 8 (g) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 - (-3 + 14\/7 + -979)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32320330232131 + 11?\nAnswer: -32320330232120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwjjjjjjj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3683.66844 to the nearest ten.\nAnswer: -3680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 v when three letters picked without replacement from vgvgvv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66487487 is divided by 20849.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 17*h + 13. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.107 (b) 1 (c) -2\/3 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 587 + -22894\/39. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 4*a - 9*a)*(-3 + 2 + 0)*(2*a**2 + 6 - 4 - 3*a**2).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2663.9 + 2664. Let l = -3 - -6. Which is the second biggest value? (a) -17 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1900*b + 2560*b + 2311*b + 3232*b.\nAnswer: 6203*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 c when three letters picked without replacement from ccckkskkck?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1316.477 and -0.4.\nAnswer: 1316.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - 6*w**2 + 6*w**2 + (-2*w - w + 2*w)*(-3*w + w + 0*w) + 7*w**2 + 3*w**2 - 3*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25556?\nAnswer: 2, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose -4900 = -67*j + 60*j. Suppose 12*b = -38*b + j. Solve -3*a + u*a = -n + b, 16 = -2*a + 2*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/24*12*1\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-84)\/35)\/((-1)\/(-15)). Let o be 4\/18 + 8\/n. Which is the closest to -0.1? (a) o (b) 4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h - 36*h - 7*h - 24*h to v*h + w and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -52.715. Let f = 5.57 - 5.5. Let z = w + f. What is z rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5488 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 127 = 2*z + 3*z, a = -z + 109. Let p = 103 - 127. Let k = 52 + p. Calculate the highest common divisor of a and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 3. Let g = 15 + -12. Let p(s) = -s + 2. Let r(m) = g*p(m) - 2*h(m). Let c(u) = 1. Let a(o) = o + 3. Let z(w) = a(w) - 3*c(w). Give z(r(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9194 (base 12) to base 16.\nAnswer: -3dc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (1 + (sqrt(192) + 2 - sqrt(192) - sqrt(192))) - (sqrt(192)*2 + 2))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 438, 1445, 3406, 6639, 11462, 18193, 27150?\nAnswer: 38651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42579028, -42579024, -42579022, -42579022, -42579024, -42579028?\n\"Answer: -v**2 + 7*v - 42579034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*((-682)\/(-66) - (-5)\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04437 from 1320088215.\nAnswer: 1320088214.95563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8307 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 6e?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 16, -4*u + u - 5684 = -q. Let z be 6\/21 + u\/(-28). What is the highest common factor of z and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 5*p**4\/4 + p**3\/3 + 15*p**2 + 32. What is the second derivative of t(x) wrt x?\nAnswer: 30*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -156*y**2 + 3*y + 14. Let f be u(-6). What is f rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*u - 112, 0 = 3*x + u - 74 - 14. Let z = 26 + -18. Calculate the remainder when x is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - 678266?\nAnswer: -678308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 0*b - 2*b + (-2*b + 3*b - 2*b)*(2 - 3 + 3) + 0*b - b + 2*b - 4*b - 7 + 7 + (0 + 3 + 0)*(-3*b + b + 3*b) to the form x + k*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7087 + 7094 - (0 - (-7 - (-1 - -3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -369, -5, -8, 0, 5 in descending order.\nAnswer: 5, 0, -5, -8, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = 5*g - 10*s - 3705, 0 = 4*g - s - 2949. Calculate the greatest common factor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q - 2289*q**6 - 3043 - 14*q**2 + 1508 + 1518 + 2*q + q**5 - 3*q**2 wrt q.\nAnswer: -274680*q**3 + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2*o - 6. Let c be p(-5). What is the third derivative of m**4 + c + 178*m**2 + m**4 - 179*m**2 + 7*m**3 wrt m?\nAnswer: 48*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*x**3 + 188*x**3 - 4*x**2 + 64*x**3 in the form c*x + u + l*x**2 + p*x**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 + -345. Let f = c - -170.0149. Round f to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2381*t**3 + 2060*t**2 + 321*t = 0?\nAnswer: -321\/2381, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/7, -4, -5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749728873 to the power of 1\/2, to the nearest integer?\nAnswer: 75827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(540) - sqrt(540)*-4) + sqrt(60))\/(sqrt(768)*4))**2.\nAnswer: -sqrt(5) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*m + 2 + (3*m - 3*m + m)*(4 - 4 + 2) - 178 - 6*m + 178 + (3 - 4 + 0)*(-3*m + 0*m - 3*m) in the form w*m + s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21417 - 3?\nAnswer: -21422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g**2 + 37*g - 37. Let a be q(1). Solve -a*d + 14*d - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1402*10114.\nAnswer: -14179828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*x**3 - m**2*x**2 + m**2*x + 82*m**2 + x**2 wrt x.\nAnswer: 6*m**2*x - 2*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 13*f**6\/30 - 2*f**5\/15 - 13*f**4\/6 + 4*f**3\/3 - 12*f**2. Suppose r(a) = 0. Calculate a.\nAnswer: -1, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 + -184.4. Let v = -12.4 - m. Let i = 25 - 22. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3268*l + 22877. What is u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107227, -107228, -107229, -107230?\n\"Answer: -n - 107226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2. Suppose 24 = 7*x - 3*x. Let v(l) = -9*l + 2*l**2 + 3*l + x*l. Calculate v(i(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.441388 litres in millilitres?\nAnswer: 8441.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*d - 238*d + 51*d + 93*d + 1717.\nAnswer: 4*d + 1717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 0 + 0)*(4*d**2 - d**2 - d**2) - 2*d**3 + 0 + 0 + 2 - 6 + d**3 + 2 to the form k*d**3 + y*d + f*d**2 + o and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147 + -2614160?\nAnswer: -2614327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8980.948 years to decades.\nAnswer: 898.0948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*j + 408*j = -154. Let i(f) = 32*f - 9. Calculate the remainder when i(12) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*u + 1273 = 0, -4*x - 2*u = -0*x - 1278. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -3916 (c) 0.2 (d) -0.5 (e) 19 (f) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8861, 18017, 27157, 36275, 45365?\n\"Answer: -d**3 - 2*d**2 + 9169*d - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = k + 8, 0*k = -v + 3*k. What is b in 11*b**v + 8 - 30*b**4 - 32*b - 9*b**3 + 22*b**2 + 30*b**3 = 0?\nAnswer: -1, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*42\/4368*(-111)\/3.\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 0.18. Which is the third biggest value? (a) 0.4 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 83*h**3 - 7*h**2 - 44*h. Let l(n) = -28*n**3 + 2*n**2 + 15*n. Let y(i) = 2*j(i) + 7*l(i). What is the second derivative of y(v) wrt v?\nAnswer: -180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 3*j**2 + 2*j - 1. Let s be k(2). Is s*(0 + -299)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -74. Suppose y - g*y = 2*m - 133, -2*m + 33 = y. Calculate the remainder when 121 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12212102 (base 3) to base 6\nAnswer: 31445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 133301 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 122. Let a = 38 + k. Let i = 2.999885 - a. Round i to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80716?\nAnswer: 2, 17, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 474 and -0.11.\nAnswer: -52.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 106 = c, -m + 0*c = -c - 28. Let n = m + -22. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49 + -0.6. Let x = 0.1 + h. Let v = x + 0.0100098. What is v rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4608*w**3 - 262464*w**2 + 277150*w - 72500 = 0 for w.\nAnswer: -58, 25\/48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 52616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 - 5)) + -1 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -815422 divided by 47966?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39\/58 - 9839\/290. Let b = q - -291\/10. Which is smaller: b or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, x: 2, k: 4, j: 2}. Give prob of sequence xxw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {i: 1, u: 8, b: 2, s: 2, x: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -43, -60, -77?\n\"Answer: -17*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1762176 is divided by 173?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -36*u - 109. Let t(w) = -18*w**2 + 3*w + 2. Let p(a) = -a. Calculate u*p(v) - t(v).\nAnswer: 18*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4437 is divided by 97?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7847*w**3 + 11259*w**2 - 120039172.\nAnswer: 23541*w**2 + 22518*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-7 - 8 - -7). Let y be (3 - (9 + -1))*c\/2. Solve -x = -y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -984 - -4746. Calculate the highest common divisor of 44 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 15*l = -45213. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, 1, 89, -9744.\nAnswer: -9744, -5, -4, -3, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5088.8 - -63\nAnswer: 5151.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zassssszzssbzzssbb. Give prob of picking 3 b.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*p - p**2 + 5*p + 175797 - 175795 to the form h*p**2 + c*p + x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**7\/42 + 5*z**4\/24 + 11*z**2. Find the second derivative of i(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04834 (b) 3 (c) 1\/4 (d) 0.1 (e) -5 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218 = -4*d + 1198 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1\/5, -45, 0.4, -17, 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495715 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89b (base 12) to base 9.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20225?\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -331103230 (base 4) to base 15\nAnswer: -4e611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.147 + -41.853. Let y = -101.3 + 59.4. Let o = c - y. What is the third biggest value in o, 1\/12, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -180, -510, -996, -1650, -2484, -3510, -4740?\n\"Answer: -2*m**3 - 66*m**2 - 118*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-418 + 231 + 241 + (-4 + 3 + 0)*(-1 + 2 - 3) - 4 + 2 + 1)*(2*o + 2 - 2).\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5708 - -5712. Solve p + p - 21 = 5*u, 0 = j*p + u + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -868*u - 27*u**4 - 3*u**2 + 734*u + 3*u**2 wrt u?\nAnswer: -324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/30*(-17 - -2). Let o(m) = m**2 + 7*m - 6. List the prime factors of o(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-7))\/((15\/(-21))\/5). Suppose g*k = -d + 3, 3*k + 2*k - d - 7 = 0. What is the highest common factor of k and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -13098.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*o + 299*o = -70 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105 times 13?\nAnswer: 1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 146*p**2 - 9. Let n(w) = 5*w**3 - 729*w**2 - 50. Determine 4*n(g) - 22*z(g).\nAnswer: -2*g**3 + 296*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_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: Is 42 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/(-8)*((-2)\/(-6) - 1). Let l be ((1*16)\/2)\/(4\/u). Solve 3*s - 5 = -l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86394 divided by 28798.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -576.6 rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - 13 - (-20 - -16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 75*i = 71*i, -4*l - 15 = -7*l - 2*l + 5*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 11061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**3 - 22971*h**2 - 114912*h - 137916 = 0.\nAnswer: -3, -2, 7662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 40, 23, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.57 + -0.87. Let u = -15 + 16.2. Let k = u + n. Round k to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 415\/3, -2\/15, -4\/9, -0.035.\nAnswer: -4\/9, -2\/15, -0.035, 415\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2\/51 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/57*4*38*7\/224?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6)*-2))**2 - sqrt(51)\/(sqrt(9)\/sqrt(3)).\nAnswer: -sqrt(17) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 129. Let n = 68 + h. Let m be (-1 - -2) + (-14)\/4. Sort m, n, -0.5 in descending order.\nAnswer: n, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 2378265\nAnswer: -1426959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 9*v - 6. Calculate h(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 24 + 68. Let g(m) = -m + 14. Let n be g(p). Solve 33 - 7 = -5*s + 3*i, n*i - 18 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {z: 4, h: 3, e: 1, f: 2, l: 1, x: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 6*k - 10. List the prime factors of r(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1533113183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 2*f. Calculate k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 6556004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhm when three letters picked without replacement from {m: 12, h: 4, j: 4}.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = 2, -5*w + 4*m + 257 = 0. Suppose 6*x = 7*x - w. Suppose 2*a - 41 = -3*j, 5*a - 6 = -4*j + 37. Calculate the remainder when x is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2 + 12*z + 20. Is j(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyrrrycxyyrbtcc. Give prob of sequence ybrx.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1860761 is divided by 35104.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:26 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l**2 + 11*l + 11. Let r(x) = 7*x + 189015 - 189009 + 7*x**2 - x. Let w(s) = 2*s**3 - 2*s**2 + 3*s - 3. Let d be w(2). Give d*r(f) - 6*a(f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((((2*sqrt(288)*-4 - sqrt(288) - sqrt(288)) + sqrt(288))*-5)\/(4*sqrt(54)\/sqrt(6) + sqrt(9) - (sqrt(9)*-2 + sqrt(9))*6))**2.\nAnswer: 65042\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 28. Let f = -7 + 17. Calculate the remainder when 564\/t - (-4)\/10 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8 + g + 9 - 9*g - 6 wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/t**(6\/5)*t)\/t))\/t)\/t)\/(t\/((t**10*t)\/t))*t*t**17*t*(t\/(t\/((t**(2\/103)*t)\/t)))\/t assuming t is positive.\nAnswer: t**(13503\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i**3 + 2*i**2 + 2*i - 2. Let a be s(1). Let f(j) = -j**3 - 9*j**2 - j - 9. Let p be f(a). Suppose 2*z - 10 = -p. Is z at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100684*a**3 + 100644*a**3 - 301873*a**3 + a**2 + 100781*a**3.\nAnswer: 236*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 91a939?\nAnswer: -91a934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (721 + 6121*o - 11*o**2 - 3062*o - 3059*o)*(0*o + 0*o - 2*o).\nAnswer: 22*o**3 - 1442*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25599988?\nAnswer: 2, 149, 42953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + n**2 - 2*n - 1. Suppose 3 = 2*d + 1. Let f = -1 - d. Is o(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7216 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14253 or 14254?\nAnswer: 14253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {n: 1, m: 2, r: 1, i: 2, v: 1, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*t*u**3 - 28417*t*u**2 + 44*u**3 - u**2 wrt u?\nAnswer: 138*t + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -2\/5, 57, 1\/5 in decreasing order.\nAnswer: 57, 31, 1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7173 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 520 - 483.9. Let q = -36 + y. Let o be 0\/((-12)\/8*2 - -4). What is the closest to o in q, 3, 27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 4*n + 2*n. Let q be i(0). Let r be (q - 0)\/(6\/(-6)). Which is smaller: r or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v**3 + 0*v**4 + 1\/2*v**2 + 3 + 0*v + 2\/3*v**6 + 0*v**5. What is the second derivative of l(b) wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 + -3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222723263 - 0?\nAnswer: 222723263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39751221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = 4. Let l = o + 4. Find the first derivative of -4 + 5*g**2 + 5 - 7 + g**l wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 98?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2007 and 55\/414.\nAnswer: 92322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6, -7*v + 3*v - 3*l = -11. Suppose v*p + 2*a - 85 = 0, 3*p = -p + 3*a + 68. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431941*p + 431968*p - 378 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -258640, -258631, -258624, -258619, -258616, -258615?\n\"Answer: -n**2 + 12*n - 258651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/23219343 and 89\/13419?\nAnswer: 69658029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/67 - -75\/268. Let i = 7 + -6.5. Sort i, -5, t.\nAnswer: -5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**5 + 435*a**4 + 11502*a**3 - 321354*a**2 + 553311*a + 885735 = 0.\nAnswer: -81, -1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18681*j**2 - 146655*j**2 - 33318*j**2.\nAnswer: -161292*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o**(-1\/2)*o)\/o)\/o)\/o*o**7)\/(o**(-1))**(-7\/6)*((o**1\/o*o)**(-32\/7))**(-30) assuming o is positive.\nAnswer: o**(2971\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5707017l?\nAnswer: 570.7017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -294 or -2654\/9?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.046 + 2.046. Let o be (96\/150)\/(52\/65). Put -0.5, g, o, -6 in decreasing order.\nAnswer: g, o, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let z(c) = c**3 - 18*c**2 - c + 21. Let y be z(18). Let v(w) = 5*w. Give y*v(u) + 7*j(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-15))\/((-5)\/15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l + 0*l**2 + 1\/6*l**4 - 1\/20*l**5 + 0*l**3 + 0. What is the third derivative of n(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -1\/83 (b) -3 (c) -0.3 (d) -2 (e) 7\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 12992*c + 25976.\nAnswer: 2*(c - 6494)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + -16. Let a = 261 + b. Let k = -40 + a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.43 minus 3.4713?\nAnswer: -4.9013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 4*y - 4*y + 2856 - 348 as r*y + n and give n.\nAnswer: 2508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 119 = -5*s, -s - 5*c + 5 + 50 = 0. Solve -3*m = -s + 19 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*u + 137 = 402, 4*z - 2*u - 210 = 0. Calculate the greatest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6fc86 (base 16) to base 4\nAnswer: -1233302012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236 by -6.\nAnswer: 118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -203, 210, -1, -0.04, 4, -0.2?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*c*y**4 + 2*c*y**2 - 1970175*c*y - c + 771*y**3 wrt y?\nAnswer: -1704*c*y**2 + 4*c + 4626*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + ((sqrt(44) + 0 + sqrt(44) + sqrt(44))*-1 + 1)**2).\nAnswer: -402 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*(x\/x**(-6\/11))\/x*x**(-29)*(x*x**(-3))\/x)**47 assuming x is positive.\nAnswer: x**(-80276\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 531*m**2 - 108*m + 345. Give z(3).\nAnswer: 4800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 4. Let c(f) = -f**3 - 10*f**2 - 2*f - 15. Let a be c(-10). Give b(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3856?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.030282803884 + -2265585.130127803884. Let s = r + 2265596. Let o = 10.9 - s. What is o rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 355856762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -374*d - 262. Calculate m(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b - 15*b - 17*b - 11*b + 58*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 2, h: 12}. What is prob of picking 2 h and 2 r?\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-447)\/564 + (1 - (-12)\/(-16)) and -45\/22.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -235225?\nAnswer: -235222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 1 - 1 + 2 - 2 - t + (-1 + 2 + 1)*(-2*t - 5*t + 6*t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109590 or 109592?\nAnswer: 109590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 43, 131, 299, 571, 971?\nAnswer: 1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2336 + 2852. What is the remainder when x is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 7*y**2 + 54*y + 61. What is p(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 629381065 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/5*(-10)\/(-4). Suppose -4*w - 7 = -27. Suppose 0 = w*f - 6 - 4. Is f at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/9, -1, -3\/5, -6, 1132 in descending order.\nAnswer: 1132, 2\/9, -3\/5, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let r be f(4). Suppose r*k + k - 25 = 0. Suppose 4*s + 19 = -k. Which is smaller: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3254 is divided by 177.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595664 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10428 + -6932. Suppose -h - 4*h + 2*o + v = 0, -2*h = o - 1402. What is the highest common divisor of h and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 14.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11. Let i(d) = -d + 6. What is the units digit of i(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -53.\nAnswer: 47\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 1 - 1)*(0*m + 0*m - m) - 7*m + 37*m**5 + 10*m - 5*m + m**2.\nAnswer: 36*m**5 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -3 (c) 0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1837 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1494 and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/3)\/96)\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/120 - t**4\/24 + t**3 + t**2. List the prime factors of w(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + -3 + ((1*sqrt(162) - sqrt(162))\/sqrt(9) - sqrt(108)\/sqrt(6)*-3)))**2.\nAnswer: -90*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 4*f + 5*z - 95 = 0, 3635 = -3*f + 4*z + 3714 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 8. Suppose -9 = -4*f - 1. Let r(d) = u*d**2 + d**2 - 4*d**f + 0*d**2. Let y(c) = -4*c. Determine y(r(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - n = -8*g + 5019, g + n - 999 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -503, -998, -1493, -1988, -2483?\n\"Answer: -495*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*3*(15 + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(11) + sqrt(11)*-1*1)**2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 + 2*l - 1. Let j be b(1). Put 10, -5, -3, j in ascending order.\nAnswer: -5, -3, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m. Let g be c(11). What is the third derivative of g*d**2 + 133*d**2 - 139*d**4 + 69*d**4 wrt d?\nAnswer: -1680*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409067*g**2 - 7*g - 543 wrt g?\nAnswer: 818134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -721.161552 to 0 decimal places.\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*i. Solve w = -5*j + 5, -2*w - 4 = -i*w + 3*j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -377243, -754248, -1131255, -1508264, -1885275, -2262288, -2639303?\n\"Answer: -t**2 - 377002*t - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 + 14 = 0. Suppose a - k = 3. Suppose 2*q - 16 = -4*d, 3*d + 5*q - a = 5. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 - -13 - 18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 1 = 4*y + 4*d, 5 = 5*y - 5*d. Suppose -y*s + 2*s = -12. Sort s, 3, -2 in decreasing order.\nAnswer: s, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-6*26\/104.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/38 or 0?\nAnswer: -7\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*o - 662 = 0, 2*v + 3*o + o = 284. Is v >= 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g - 212. Let z = g - 331. Does 25 divide (-2)\/(-2 + z\/(-194))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103199439?\nAnswer: 3, 7, 100291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**2 - 7*a**5 + 5*a**2 - 25*a**2 wrt a?\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 2*a**4 + 0*a**4)*(-6*a + 4*a + 3*a) + (-2 + 4*a**2 + 2)*(-2*a**3 + a**3 - a**3) + 5*a**2 - 5*a**2 - a**5.\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36.022 (b) -63 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uggupqpugpepppggupu. What is prob of sequence gppe?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + 3*d - 1. Let v be s(-4). Suppose -3*m + 69 = -3*x, 0 = v*x + x - 12. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Let r(v) = 4*v**2 - 1. Let w be r(1). Suppose 0 = s*i, -w = -5*g - i + 2. Put g, -1, -4 in decreasing order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiininininnniiiiinin.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5741*r**2*x**2 + 1052*r**2*x + 8*r*x - 2*x**4 wrt x?\nAnswer: -11482*r**2 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0*z**4 + 232*z**2 + 0*z**6 + 0 + 0*z**3 - 4\/5*z**7 + 0*z - 6\/5*z**5. Find the third derivative of o(v) wrt v.\nAnswer: -4032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - 30\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -13*h + 10. Suppose -28*c = -h*c - 385. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t*t)\/(t\/((t\/(t*t**(8\/7)))\/t)))\/(t\/(t**(5\/3)*t)*t**1) assuming t is positive.\nAnswer: t**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8871.49 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*d = d + 5, -2*d - 2 = -2*h. Suppose 18 = -5*u - 2*t, 0*u - 9 = h*u - t. What is the second biggest value in 3\/10, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4586 <= -444721\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 5. Suppose 379 = 2*q + q - 2*m, q + u*m - 130 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-100)\/(-18)) + (2 - 1)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 4*v**3 - 7 + 2*v**3 + 3*v**3 with respect to v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 6\/445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -836.1366 minus -39813?\nAnswer: 38976.8634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4928998464 rounded to the nearest one million?\nAnswer: 4929000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 - 1633582 - g + g + 1633582.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3235673 divided by 13\nAnswer: -3235673\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -15. Calculate the remainder when 47 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51142 (base 6) to base 12.\nAnswer: -3ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from olcloccclclo.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 3*sqrt(85)*-4)\/(sqrt(5) + sqrt(5) + (sqrt(5) + (sqrt(5) - sqrt(40)\/sqrt(8)))*-1).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/16)\/((-18)\/(-12)). What is the closest to l in -1, 0.2, -1\/12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3231211333 + 31?\nAnswer: 3231212030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335499?\nAnswer: 11, 167, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**2\/2 + 143*t. Let d(v) = 4*v - 14. Let j(o) = -2*d(o) + 28*q(o). Let l(g) = 8*g**2. Determine l(j(u)).\nAnswer: 512*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = -417. Suppose c - 3*d = 5*c - 769, 2*c = 5*d + v. Calculate the greatest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 6228?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7542 divided by 419\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9551, 25336, 53623, 100664, 172711?\nAnswer: 276016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 = 9. What is the remainder when 3 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00636732 to five dps.\nAnswer: 0.00637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/2 - 5*l**2\/2 - 11*l. Give j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmodadmdxlddlma. What is prob of sequence ox?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (378\/(-90))\/((-140)\/78300*-27).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9661 in -0.1, 2\/23, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 + 330*z**2 + 9*z + 2. Let q be (5 - 5) + (-1 - -1). Let r be n(q). Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 + -0.14. Let l = i - 0.27. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20844 - -21796. What is the greatest common divisor of n and 2737?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 2221.\nAnswer: 7\/2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(187) + (sqrt(187) - sqrt(187)*-2*1 - sqrt(187)) - sqrt(187))*1)\/(sqrt(33)\/sqrt(3)*-2 - (sqrt(1331)*-2 - sqrt(1331) - sqrt(1331))) + 2.\nAnswer: -sqrt(17)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.008528 years to months.\nAnswer: 0.102336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 43. Let j = 135\/4 - 34. What is the nearest to j in h, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40664356?\nAnswer: 2, 53, 83, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 295, 182, 69, -44, -157?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/119401 and -48\/5096447.\nAnswer: 708406133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 - (26 + -25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10413482 is divided by 2008?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -425, -5, -180.\nAnswer: -425, -180, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/18*8\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 1 + sqrt(128) + -5 + (6*(sqrt(18)*2 + 0))**2.\nAnswer: 8*sqrt(2) + 2591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 307379 to the power of 1\/2, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*w**2 + 1\/2*w - 1.\nAnswer: (w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -267*x**2 + 19*x - 8. Let l be d(-4). Is -4355 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 - p**5\/12 + 7*p**4\/24 + p**3 - 4*p**2 - 2. What are the prime factors of h(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 181970*s - 910041. What is z(5)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1527*4.\nAnswer: -6108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*j - 23 - 12, h - 23 = j. Suppose -h - 93 = t. Let i = 206 + t. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191343799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 14) to base 8\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166365549?\nAnswer: 3, 7, 443, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16889*g**2*q**4 + 2*g**2*q**2 + 3*g**2*q - 3*g*q**2 + 305*g*q - 3*q**4 wrt q.\nAnswer: -405336*g**2*q - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156205 and 210?\nAnswer: 937230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47254954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 12 + 32. Suppose 0 = -i*w + 20, -u = 2*w - 0*w + 8. Let b = u + 18. Solve b = -3*t - 7 + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -34. Suppose -l*h - 76 = -16*h. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (3*(sqrt(10) + sqrt(250) + sqrt(10))\/sqrt(5) - sqrt(24)\/((sqrt(12) + sqrt(12) + sqrt(72)\/sqrt(6))*4 + sqrt(12))).\nAnswer: 4 + 272*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26768 divided by 10\nAnswer: -13384\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363622539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -62. Suppose -f*t + 1 + 5 = 0. Let l(p) = 7*p - 4. What is l(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 134?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 3*l**2 + 27*l - 27. What is w(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -441, -883, -1325, -1767, -2209?\n\"Answer: -442*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 - 2*d**5 + 0*d**5 + (2*d**2 + d**2 - d**2)*(-2*d**3 - d**3 + 0*d**3) + 0*d**5 + d**5 - 3*d**5.\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/2)\/((z**(-5\/8)\/z)\/z*z)*(z\/(z*((z*z**(-1\/2))\/z*z)\/z*z))**3 assuming z is positive.\nAnswer: z**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 9*s**2 - 8*s + 4. Let w be b(-9). Suppose 14*k - 2542 = w. Calculate the greatest common divisor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 447.9 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*y = -9, 2*y = 2*o - 4*o + 22. Suppose -5*w + 2 = o, -57 = -4*h + 5*w. Factor h - 11 + 125*q**2 - 12 + 25*q.\nAnswer: 5*(5*q - 1)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -9.886\nAnswer: 49.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 11. Is u(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244 - -249. Solve 0 = -g - u*g + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56892, -56880, -56862, -56838?\nAnswer: -56808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 22*b**2 - 34*b + 6. What are the prime factors of r(-23)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 33 + 28 = o - 2*d, 0 = 3*o + 3*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*25\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g**2 - 2*g)*(0 + 2 + 0)*(-8753*g + 219*g**3 + 8753*g).\nAnswer: -438*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209328 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose -12 = -5*f + i*w + w, -4*w = 3*f + 16. Suppose 3*c - 18 - 3 = f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 20888\nAnswer: -104440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-12)*-8*(-16 + 481\/30).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5398965 to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50)\/4*(-6)\/(-3). Let u be 10\/w + (-44)\/(-10). Suppose s + u = 28. What is the greatest common factor of s and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68165a (base 12) in base 5?\nAnswer: -411132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166 - -165.8. Is x not equal to -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, p: 8}. What is prob of sequence ppp?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, n: 1, r: 1, g: 2, o: 1}. What is prob of sequence do?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -48*d + 294. Sort d, -32, 1 in descending order.\nAnswer: 1, d, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/5 + 4*v**4\/3 + 8*v**3\/3 - 4*v. Factor y(a).\nAnswer: 4*a*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9205\/1315*((-4)\/(-2))\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 23366?\nAnswer: 560784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696 and 6144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3)*(1 + 0). Let q = 2.9 + -17.9. Let g = 14.8 + q. Which is the third smallest value? (a) g (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 102. Let t = 117 - 99. Let d be n(t). What is the highest common factor of d and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-90)\/12)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + 3 + 93 - (-78 - (56 - 141))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11837462*x**2 + 8785*x - 1997 wrt x.\nAnswer: 23674924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, 2\/9, 13, 2\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1059, 764, 469, 174, -121?\n\"Answer: -295*t + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + t**2 + 2*t - 1. Let o be q(0). Let p(j) = -24*j**2 + j + 1. Determine p(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5 + 25*o**4\/2 - 60*o**3 + 135*o**2 - 135*o - 60. Factor q(c).\nAnswer: -5*(c - 3)**3*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**7\/70 - 3*d**5\/10 - d**4 - 3*d**3\/2 - 6*d**2\/5 + 975*d. Solve m(h) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (5 + -5 - -6) - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3294, 4136, 6442, 10944, 18374, 29464, 44946, 65552?\nAnswer: 92014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2869)\/171 + (-2)\/9. Let u(h) = 9*h**3 - 17*h + 3. Let r(n) be the first derivative of -3*n**4\/4 + 3*n**2 - n - 14. Determine k*r(v) - 6*u(v).\nAnswer: -3*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + d**2. Let c(k) = -8*k**3 + 23*k**2 + 3*k - 11. Let i(m) = 19*m**3 - 43*m**2 - 7*m + 25. Let f(n) = -7*c(n) - 3*i(n). What is -f(l) - 2*o(l)?\nAnswer: -l**3 + 30*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 0, -6*x + 3*x = -4*i - 1111. Let j = i - -455. Let p = -93 + j. List the prime factors of p.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-9 + (-640)\/(-72)). Which is greater: w or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 99 = -12*w, -2*b + 5*w + 186 - 242 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 38. Suppose i*d - 63 = 6*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbwbbbb?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 101, -2, -5, -1, -121 in descending order.\nAnswer: 101, 1, -1, -2, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l = -92*l + 42. Let d(s) = -8*s - 9. Let m(i) = -47*i - 53. Let v(k) = -39*d(k) + 6*m(k). What is the units digit of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(3\/4)*m\/m**(-2\/9)*m**(2\/85)*m*m**(1\/7) assuming m is positive.\nAnswer: m**(88649\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -994 - -5014?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-26))\/((-3)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1064 by 27.\nAnswer: -1064\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m + 53. Give w(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*k**2 - 51*k**2 + 142*k**2.\nAnswer: 249*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 9551?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**2\/2 - 11*q + 6. Give f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m - 2*m)*(117*m**2 + 28*m**2 - 66*m**2).\nAnswer: 158*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 226 + 386 = -27*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12330 and -79\/1539.\nAnswer: 2108430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 48 = 28. Suppose -4*p + 11 = 2*n - 9, 5*n = h*p - 55. Is p bigger than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 896 = -589. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2591355 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.8 + -1.3. Let k = -9 - g. Let r = 0.2 + 0.2. Which is bigger: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-153)\/117)\/17\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*v**4 - 2*b**3*v**2 + 149*b**2*v**2 - 2*b*v**3 + 3*v**4 wrt v?\nAnswer: -24*b**3*v - 12*b + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.97 + -0.03. Let s = 4.2 + o. Let i = 2 + s. Which is the biggest value? (a) 2 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-14)*(-8)\/2. Let t = 2.1 - 3.1. Which is the smallest value? (a) m (b) 2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -506670?\nAnswer: 506687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 + 2*g - 3. Let p be y(-3). Let r(w) = w**2 + w + 2. Let q be r(p). Solve -11 = 2*z - 5*v, 2*z - v = q*v - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 53099.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -289 and -79180395.\nAnswer: -79180684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/315727827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 12*o**3 - 52*o**2 - 60*o.\nAnswer: 4*o*(o - 3)*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.1 (c) -3 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urrr when four letters picked without replacement from {r: 5, u: 7}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*i + 12. Let t = 4 + i. Suppose 0 = -v - y + 9, 14 = -v + t*v - 4*y. Solve -3*g = -g - v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/2)*(y**(4\/7)*y)\/y*y)\/(y*y**(-2\/9)*y*y*y*(y*y**(-1))\/y)*((y*y**0)\/y)**(-2\/55)*(y*y**(-2\/5))**(3\/5) assuming y is positive.\nAnswer: y**(2059\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -57696 and -156.35263.\nAnswer: -57852.35263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h + 2*q = 52*h - 6, 2*h - 3*q - 28 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510b (base 14) in base 13?\nAnswer: 1aa95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-28) - (-57)\/133. Let k(z) = -z**2 - 5*z - 5. Let i be k(-4). Which is the closest to 1? (a) s (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301878633 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91857, -367413, -826671, -1469631?\n\"Answer: -91851*y**2 - 3*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 1:40 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702359?\nAnswer: 3, 189151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*j**3 - 582*j**3 + 282*j**3 + 194*j**3.\nAnswer: 309*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2371985 and 12221?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 4:41 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 976403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14435842 minus 0.4?\nAnswer: 14435841.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 2*p, 0*i - 3*i = -2*p + 6. Solve p*j = j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 126126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1704*p + 1700*p = -4*k, -2*k + 7 = 5*p. Sort 70, 2, -1, k, -2.\nAnswer: -2, -1, k, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**4 + 28*s**3 - 40*s**2 - 20*s + 44. Let h(o) = -7*o**4 + 27*o**3 - 39*o**2 - 19*o + 45. Let u(i) = 4*h(i) - 3*r(i). Suppose u(c) = 0. What is c?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d - -41?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -26*y + 23*y - 4*m, 5*m = -4*y + 192. What is the remainder when 299 is divided by y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296463 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**4 + 3*s**3 + 5*s**2 + 3*s - 3. Let g(n) = 2*n**4 - 2*n**3 - 4*n**2 - 2*n + 2. Let t(k) = 3*g(k) + 2*q(k). Find y such that t(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let i(q) = -13148*q**2 - 2*q. Give i(o(d)).\nAnswer: -13148*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271025, 542046, 813055, 1084046, 1355013, 1625950?\nAnswer: 1896851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1 + 3\/6). Let i(x) = -5 - c*x**3 - 8*x + 12*x + x**3 + x**2. Is i(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -19860*t + 99312. What is y(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/647, 0.4, 6.7 in increasing order.\nAnswer: -1\/647, 0.4, 6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 4. Let w = t + 14. Find the common denominator of 5\/22 and 3\/w - 299\/(-30).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 397 - 375. Let o be (2\/(-3))\/((-6)\/9). Suppose 2*v + o - i = -5*g, -3 = 2*v - 3*g. What is the lowest common multiple of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Let w(q) = 6*q + 1. Let k be w(p). Let s = k + -3. Solve -2*c + 8 = 3*h, 3 = -3*c + 5*h - s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6424107*n**2 + 71410580 wrt n.\nAnswer: -12848214*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 - 2 = -m, -5*o = 2*m - 3. Let f be (-9 - 0)*2\/(-3). Suppose f*u + 70 = m. Let c(g) = -g**3 - 11*g**2 - 6. What is c(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 66361652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 3*r + 5*r)*(-2*r + r + 3*r - 2*r - 2 + 2 - 3*r + 0*r + 2*r + (r + 0*r - 3*r)*(5 - 1 - 3) + 3*r + r - 3*r - 3*r + 0*r + r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32503, 129983, 292443, 519877, 812279, 1169643?\nAnswer: 1591963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - (10 + -9)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 2*l**3 + (l**2 - l**2 - l**2)*(2*l + 2 - 2) + 7*l**2 - l**3 - 7*l**2 - 23 + 17*l**3 + 23.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 511642*q**4 - 19*q**2 - 47924177*q?\nAnswer: 6139704*q**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n**2 - 28*n + 14. Let b be q(-6). What is the second derivative of -1 - 125*x**b + 125*x**2 - 4*x + 2*x - 41*x**4 wrt x?\nAnswer: -492*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 264. Is 36 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 2*k**2 + 21 + 23 - 8*k**3 + 2*k**2 to n*k + p*k**2 + l + t*k**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ippppippipippp. Give prob of picking 3 p and 1 i.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 21*i**2 - 282159*i - 123649200.\nAnswer: (i - 1200)*(i + 642)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-3) + 45\/50 + -4. Let t = -51 + 203\/4. Which is the second smallest value? (a) t (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/9 + 64171642*p\/9 - 1029499909244041\/9 = 0.\nAnswer: 32085821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6813.\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -500.2 minus -0.3?\nAnswer: -499.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4151 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 44*g**2 + 41*g + 97. Let n be y(21). Calculate the highest common factor of n and 22876.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 15, 5*r - 2*b = -5*b + 15. Suppose r*t - 8 = 4*t. Is t\/(-3)*-3 - -27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 0*l**2 + 2*l**2)*(4 + 2 - 22).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*v - 143614 = -145789 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 285\/75 + 3 + 14\/(-5). Suppose -2*l + 3*j - 5 = -0*j, 0 = -4*l - k*j + 40. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 5 (c) -3 (d) 2\/17 (e) 4250 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**2\/h)**(9\/10)*h*h**(-1\/22)*h**4 assuming h is positive.\nAnswer: h**(743\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 419 by 419.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32273355 to the nearest integer?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -34, -37, -40, -43?\n\"Answer: -3*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 3. Let a be q(-9). Let y be (-3)\/(-5) + (-96)\/a. Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 820, 1623, 2426, 3229?\nAnswer: 4032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 24*x = 16. Is 3 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than 1\/132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1682415 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (133\/8)\/7. Suppose 3*f = -34 + 37. Suppose 12 = 11*v + f. Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*o + 357, -5*o = -0*n + 3*n - 229. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h + 15*h - 2 + 15.\nAnswer: 44*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 11, 1, 9 in decreasing order.\nAnswer: 11, 9, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*g + 264. Let v = 56 - g. Find the third derivative of -13*x**5 - v*x**2 + 5*x - 5*x + 20*x**2 wrt x.\nAnswer: -780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:11 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) -4 (c) 2 (d) -1\/3 (e) -1.492\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 71f44?\nAnswer: -71f46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 403 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 10, -22 + 4 = -3*s + 3*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16789 and 620378.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 6*t**6 - 153*t**2 + 341*t. What is the first derivative of p(f) wrt f?\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/1094477 and -56\/5?\nAnswer: 5472385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 3*n**2 + 4*n + 36. Let k be h(0). What is the common denominator of (-456)\/k*(-15)\/(-8) and -23\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*j + 2010, -2*z = j + 2023 - 3358. Calculate the smallest common multiple of z and 931.\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:56 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + sqrt(684) + -1 - 5*sqrt(57)\/sqrt(3).\nAnswer: -1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.27 (c) -5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 + -9 - (-4 + (-2 - -8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**5 - 664*x**4 + 28816*x**3 - 101736*x**2 - 131220*x = 0.\nAnswer: -1, 0, 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-32))\/((5133\/(-232))\/59)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77dddd (base 16) to base 2\nAnswer: 11101111101110111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, 59, -5\/3, 0.1.\nAnswer: -5\/3, -0.4, 0.1, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**2 + 64 - 40 + l**3 + 12*l**2 - 18*l**2 + 87 to the form o + w*l + h*l**3 + p*l**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = -83*p + 343422 + 144891. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let i = 44 - 83. Let k be (21\/14)\/(i\/(-4)). Put k, -2\/7, w in decreasing order.\nAnswer: w, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + 0. Suppose 8*i - 11*i + m = 0. Suppose i*s = 9*s + 1543. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 6*c**2 + 3*c - 7*c**2. Let s(o) = 5*o - 1. Let z be s(1). What is the units digit of l(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -8*g + 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 15656*a**2 + 31328*a = 0. Calculate a.\nAnswer: -3916, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 22, 53, 96?\n\"Answer: 6*h**2 + h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0 + 37\/7*b**2 + 3\/7*b**4 - 23\/7*b**3 + 15\/7*b = 0.\nAnswer: -1\/3, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**3 + 3*t**2 - 3*t**2 + 83*t**3 - 61*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -14 - (6 - -1) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**3\/3 + 5*n**2\/2 - 3*n. What is the units digit of m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -26. Let k(o) = 533 + 3*o**2 - 277 - 14*o - 267 - o**2. Calculate the remainder when 5 is divided by k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 440169 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 2, -4, -286, -3 in descending order.\nAnswer: 10, 4, 2, -3, -4, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*-4*(-5)\/10)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987 - 395 = 37*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 4)*(-4)\/(-90). Suppose j - 5*j - 13 = l, 0 = 3*l - 5*j + 5. Which is the closest to d? (a) -6 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 9*q = -30*q + 11*q. Which is smaller: q or 1\/1036?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478503 is divided by 492487?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -145 and 5?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/11, 1\/110, 5, -9, 1, -1 in decreasing order.\nAnswer: 5, 2, 1, 1\/110, -2\/11, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -21 - (35 - (29 - -4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from fomze.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 52 = 38. Suppose 0 = -3*f - f - 84. Let u be ((-180)\/f)\/(3\/42). Calculate the greatest common divisor of u and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177033?\nAnswer: 1117, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12))**(-1\/17)*(w*w**(-10))**(-1\/2) assuming w is positive.\nAnswer: w**(177\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 814 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539053 and 1887?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 560326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 135. Which is the closest to -0.03? (a) 3 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1305.02093 and -0.669?\nAnswer: 1304.35193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bba - 13?\nAnswer: 2ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 24 = -4*j, 3*j - 2*j = 3*s + 2. Suppose -g + 1 = -j. Suppose -n - 2 = -g. Solve 3*b = 6, -n*m + 25 = -2*m + 5*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.3. Let h = -4.57 + -0.43. Let o be (-7)\/(-15) - (-1)\/3. What is the nearest to x in o, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:02 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 258?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1595 (c) -0.0532 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 12. Let n(r) = -2*r**2 - 9*r + 5. Let v be n(h). Is (-4 - -167)\/(1 + v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 140, 316, 562?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 2. Let c(i) = -i**3 - 14*i**2 + 1. Let j be c(-14). Determine w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 24 = -3*q + 2*q, 0 = 2*y + 3*q + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 92, 145, 204, 269, 340?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -29*l + 28*l + 8, 25 = -u + 4*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 2279574*z - 2279574. Give u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 237 (base 14) to base 5\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -449?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -886, -1758, -2628, -3496, -4362, -5226, -6088?\n\"Answer: d**2 - 875*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 2*l. Let p(g) = g - 9. Let f be p(9). Let j = f - -5. Let d(c) = 2*c**2 - 5*c. What is j*m(z) + 2*d(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 51*y + 25. Let c(u) = 26*u + 13. Calculate 7*c(t) - 4*m(t).\nAnswer: -22*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(1539))*-4 + ((sqrt(475) + 0 + -1*sqrt(475) - sqrt(475)) + sqrt(475) - sqrt(475) - -1*(sqrt(475) + 2)))**2.\nAnswer: 14400*sqrt(19) + 396484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k**3 - 6*k**2 + 6. Let m(q) = -q**3 + q**2 - 1. Give -6*m(f) - w(f).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 60. Does -1\/105 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5621 and 207.\nAnswer: -1163547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 138 = v, -28*v + 24*v + 5*z + 580 = 0. What is the first derivative of -111*g**3 - v + 9*g**3 - 3*g**3 wrt g?\nAnswer: -315*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5 + 11. Suppose -2*b + 93 = 25. What are the prime factors of x + -3 + b + 0?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568404018 divided by -1638\nAnswer: 347011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 5 (c) 0 (d) -0.0342\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(245) + -1)**2 - ((-2*(sqrt(245) + sqrt(245)*3))**2 - sqrt(245)).\nAnswer: -15431 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let c(g) = 2*g - 1. Suppose 0*b - 9 = 3*b. Let u(x) = b*s(x) - 2*c(x). Does 11 divide u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2 + 0 - k**3 - 3*k - 1 + k**2 + 2*k**2. Factor t(n).\nAnswer: -3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + t + 4)*(-4 - 1 + 1)*(-4*t - 2*t**2 + 4*t)*(2 - 2 - 2) + (-5*t**2 + 2*t**2 + 2*t**2)*(2*t - 1 + 1) - 34*t**3 - 14*t**3 + 27*t**3.\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 305442421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 32 - 159*v**2 + 58*v**2 + 41*v**2 - 19*v - v**3 + 40*v**2. Give u(-19).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5.85. Let r = -0.95 - o. Let p = r - 2.7. What is p rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:33 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1768.097 * -2.\nAnswer: -3536.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 559\/(-65) + (-280)\/(-175)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 742 and 21?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 241907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 6045.37?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7485226 and 2138636.\nAnswer: 14970452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12214872.\nAnswer: 2, 3, 19, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 2010?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 833 divide 518853209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 6 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166941009 is divided by 14288?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v + 13. Let o be -4*(-20 - 474\/(-24)). What is k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 7 = -3*c. Suppose -4*w - 12 = -w, 2*k - w - 44 = 0. Solve c*b + k = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and -20\/291.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321 - 318. Let m(u) = 4*u**3 - u**2 + 3*u - 5. Let z(j) = -4*j**3 - 2*j + 4. Determine l*z(k) + 2*m(k).\nAnswer: -4*k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1713366 and 2094114?\nAnswer: 18847026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**5\/6 + 120*c**2. Let s(u) = 14*u**2 + u**2 + u**2. Calculate s(i(f)).\nAnswer: 1600*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*3\/210)\/(-1*4) - 3830\/80?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**3 - 22472*q**2 + 491*q + 75 wrt q.\nAnswer: -18*q - 44944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11655 - -3?\nAnswer: -11652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**4\/24 + 2*v**2. Let b(s) be the second derivative of -2*s**3\/3 + s**2 + 4247*s. Calculate -b(u) - 3*c(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*a**3*h**3 + 14*a**3*h**2 - 7*a**3 + 4*a*h**4 wrt h?\nAnswer: -144*a**3 + 96*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1154, 1, 0.08, -1, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:37 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 646*w**2 + 239*w - 4. Let d(u) = 1937*u**2 + 717*u - 13. Let l(q) = -13*a(q) + 4*d(q). Find the second derivative of l(c) wrt c.\nAnswer: -1300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/1)\/(429\/(-471757)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-281 + 230)*5\/75*5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76439 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 2. Let z be d(12). Is z greater than or equal to 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 745\/3 = 247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 186 - 186 + 83*d - 12*d as w + g*d and give g.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**2 + 81*o = 0.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 5*m = 48, 799*u - 800*u + 4 = -m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(187) + 1*sqrt(187) + sqrt(187)) + sqrt(187))*1)\/(1*((sqrt(396) - (sqrt(396) + -3*sqrt(396))) + sqrt(396))).\nAnswer: 7*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -8742250?\nAnswer: 8742247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 10 = 11*r - 2*p, -p = -r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 594794881 to the nearest integer?\nAnswer: 24388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 503868353 + 0.2?\nAnswer: 503868353.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/17627 - -2344403\/105762. Find the common denominator of d and -79\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 (base 14) in base 16?\nAnswer: 28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 8. Let j be k(-12). Suppose 3*z = 4*x - j, x + 0*x = 2*z - 4. Let q = 3\/26 - -11\/130. What is the nearest to 3 in 2\/3, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (0 + ((sqrt(320) - -2*sqrt(320)) + -3 + 2 - (2 + (sqrt(320) - (sqrt(320)*1 + 5 - sqrt(320))))))**2 + -4).\nAnswer: 256*sqrt(5) + 5108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 - -24. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 z when four letters picked without replacement from {z: 7, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m. Let z be d(2). Suppose -3*i - l = i + 24, 0 = 4*i + 3*l + 32. Let k = z + i. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86424014247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -100*s - 109*s + 14 + 202*s. Let h be q(2). Solve 3*n + 4*m + 9 = h, n + 0*n = m - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-320)\/192)\/((-10)\/(-36)). Let t be (0 - i\/(-4)) + (-138)\/(-84). Suppose -3\/7*p**2 - 8\/7*p + t*p**4 - 4\/7 + 2\/7*p**3 = 0. Calculate p.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-55)\/350*-95 + 1\/14. Solve -t*s + 57*s + 42 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 5852?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 0*a)*(2 - 2 + 3*a**3) - 4*a**4 + 10*a**4 - 3*a**4.\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 83, 169, 289?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 4 + 4)*(x**2 - 4*x**2 + 0*x**2) + (-4 + 3 - 1)*(-1 + 1 + 4*x)*(129 - 129 - x**2).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 83 + (557 - 675).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194518 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5 - -7)\/(-4))\/((-2)\/288). Let c = 72 - o. Solve 0 = -3*b + b + 5*x - 19, c = -3*b - 3*x + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 19*d**3 + 194*d**2 - 1528*d - 9680. Let h(o) = -80*o**3 - 775*o**2 + 6110*o + 38720. Let u(n) = -6*h(n) - 25*z(n). Factor u(f).\nAnswer: 5*(f - 22)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1909, -6421, -10933, -15445?\n\"Answer: -4512*h + 2603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a (base 13) in base 6?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 568, -1.1, 2, -1\/2, -5, -3 in decreasing order.\nAnswer: 568, 2, -1\/2, -1, -1.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 6 + 0)*(-6 + 3 + 2)*(5*o + 7*o - 4*o) + (0 - 3 + 2)*(-o - 1 + 1) + 0 - 2*o + 0 - 2*o + o - 2*o.\nAnswer: 132*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.1656 times -49\nAnswer: -106.1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minutes after 1:45 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -307.69 + 307.6868206. Round t to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -251 + 259. Suppose 227 - 251 = r*s. Sort 20, 1, s in ascending order.\nAnswer: s, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2. Let f be x(1). What is the nearest to 2 in f, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 0.13.\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r + 0*r)*(1 - 1 + r**2) + (r**2 + 0 + 0)*(-7*r + r + 4*r) - 2*r**3 + 2*r**2 - 2*r**2 + r**3 + 6*r**2 - 6*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-838)\/(-4))\/(4\/(-8))*(-49)\/14. Which is smaller: 1467 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by -42\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10019, -20059, -30099, -40139, -50179?\nAnswer: -60219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988946, -1977891, -2966834, -3955775, -4944714, -5933651?\nAnswer: -6922586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 123, 147, 209, 327, 519, 803, 1197?\n\"Answer: 3*j**3 + j**2 + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -201*1\/(-3)*-693. Let f be j\/(-81) - 4\/18. Suppose -3*v + o - f = -2334, 2*v + 5*o = 1157. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -377528*s**6 - 303608*s**2?\nAnswer: -45303360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-3)\/(-6)*2. Calculate the greatest common divisor of w and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59291 + 59291 + 676*y)*(2*y + y + 2*y)*(0*y - y - y) in the form a*y**3 + m*y**2 + g*y + o and give a.\nAnswer: -6760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:38 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/3, 1, -1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1077651, 2155300, 3232953, 4310610, 5388271, 6465936?\nAnswer: 7543605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635 = q + 2*x - 629, -5*x - 6 = q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 3*l + (-36*l - l - 9*l)*(-3 + 2 - 1))*(-2 + 2 - 4*l).\nAnswer: -364*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 89 and 110 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihcipccccnipcc. What is prob of sequence cin?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/3811005?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14*d**2 - 3*d. Let v be c(2). Suppose 5*x + 4*u = 55, x - 3*u + v = 6*x. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 95.03847 centuries?\nAnswer: 9503.847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050 and 45?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 327 + (16\/96)\/(2\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -18*c + 23*c, z = -3*c - 3. Let y(f) be the first derivative of z*f - 3\/2*f**2 - 21. Let l(r) = 18*r**2. Give y(l(m)).\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 0.1, 0.32, -6, -1, -4 in increasing order.\nAnswer: -14, -6, -4, -1, 0.1, 0.32, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + i - 8, 14 = 3*j - 5*i. Solve 2*u = j*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**2 + 6*t**3 - 8*t**2)*(8 - 8 + 3*t) - 2*t**4 + t - t.\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*p + 9*p - 61*p)*(-1 + 0 - 12) to v + z*p and give z.\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 144\/(-21) - (-8)\/(-56). Let r(p) = p**3 - 5*p**2 - 7*p + 6. Let k be r(6). Suppose -y + 5*y + 32 = k. Is y < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 150 = 29*h. Suppose h*z + 108679889 = 16039889. Round z to the nearest 100000.\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**4\/24 - 7*h**3\/6 + 2*h**2. Let z be c(-7). What is the closest to 0 in 0.2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21751510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a - 18. Calculate the remainder when o(6) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.662 - 5.162. What is the nearest to -82 in z, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from ichhyceyiiilhyccc.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4528*j**2*x + 1828*j**2 wrt x.\nAnswer: 4528*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21376 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 283 - 308, 0 = -5*s - 4*p - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43370*a*j**2 - 8*a*j + 4*a - j**3 + 3*j - 103 wrt j.\nAnswer: -86740*a - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*l + 516 - 516)*(0 + 2 - 1) to the form y*l + h and give y.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 6660*o - 33274. Calculate h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28888*m**2 + 826*m + 15 wrt m.\nAnswer: 57776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -3*l. Suppose 5 = -5*v - 5. What is the remainder when 2 is divided by v*-2*l\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1 - 8 - 4 - b + 6. Let j be g(-5). Let a(t) = t**3 + 3*t**2 - 4*t + 4. Let z be a(-4). Solve -r + z*r - 12 = j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1529 = -104*m + 2007. Let k(y) = y**2 - 7*y + 7. Let w be k(6). Which is the closest to w? (a) 2\/3 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - (sqrt(90) - (sqrt(90)*1 - sqrt(90))))*-4)\/(4*sqrt(24)\/sqrt(4)))\/((6*sqrt(175)\/sqrt(5))\/((sqrt(42)\/sqrt(2) + sqrt(21))\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700398701 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: -7.53*-0.02\nAnswer: 0.1506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178206, 712712, 1603564, 2850768, 4454330, 6414256, 8730552, 11403224?\nAnswer: 14432278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.1. Let z = 0.1 + l. Let s be 4*-1*(-3)\/(-216)*-4. What is the second smallest value in s, z, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 29. Let t(l) = l. Let o(z) = -6*z + 10. Let v(u) = h*o(u) + 4*t(u). Is v(5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 17*p + 14*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27930)\/(-76))\/105*6*1)\/((-6)\/(-30)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -197 + 44a0?\nAnswer: 4307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 7*q + 3. Let d be h(4). Let k = 36 + d. Let n(b) = -b**3 + 4*b**2 - 2*b + 4. Calculate n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460776 - 7015.89304?\nAnswer: -467791.89304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 at most as big as 204\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4778436015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 163550001 divided by 3\nAnswer: 54516667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/7 - 33260566*h\/7 + 9503020 = 0?\nAnswer: -16630285, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 3. Let l(d) = 4. Let n(c) = 3*k(c) - 4*l(c). Let a(s) be the first derivative of n(s). Does 4 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(3) + sqrt(21))*3)\/(sqrt(33)\/(sqrt(11) - sqrt(275)) + sqrt(3)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2966 - 2.2966. Which is the smallest value? (a) -0.2 (b) -8\/263 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*p + 2 + 1 - 176*p + 4 + 13*p**2 in the form y + w*p + n*p**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1247*l**2 - l + 2. Let n be q(2). Let r = -2828 - n. Suppose 5*v - h = 2130, -5*v - 3*h = 2*h - r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*f + 8 - 20, -250 = 46*f - 5*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1319, 0.6, -0.5, -1.68 in ascending order.\nAnswer: -1.68, -0.5, 0.1319, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48244 = -65*q + 50129 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 + 11*d - 11*d + (2*d**2 + 3 - 3)*(-2*d**2 - d**2 + 2*d**2) + 2*d**4 + 2*d**4 - 6*d**4 as z*d**2 + k + i*d**3 + o*d**4 + v*d and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (22 - (171 - 17) - -15).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -3. Let l(g) = -g**2 - 3*g - 6. Let p be l(w). Let f = p + 56. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-2)\/(-6). Let l = -17 + 43. Let n = l - 26.2. What is the biggest value in j, -2\/21, n?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 0.5 (c) 2 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2\/7 + 87060*g\/7 - 87032 = 0. Calculate g.\nAnswer: 7, 21758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-78)\/(-120))*71\/1136.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 96553416.\nAnswer: 28966024.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -413, -414, -415?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 - 64. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 12 = -9*o. Factor 41*v**3 - 37*v**3 - 4*v**4 + 2*v**2 - 8 + 10*v**2 - o*v.\nAnswer: -4*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2707, 3731, 4755, 5779?\n\"Answer: 1024*j + 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 42*b**3 + b - 1. Let u be q(1). Suppose -2*g = g + i - u, 3*g - 42 = 4*i. Calculate the remainder when 14 is divided by -5 + g + 3*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*n + 9 = 1, -2*n + 15 = 3*g. Suppose g*c - 10 = -73. Is c < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Suppose 3*c - q*v - 62 = -0*c, 0 = 2*v - 4. Find l such that c*l**2 - 24*l - 4*l**3 + 12 - 9*l**2 + l**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -143, -361, -701, -1181, -1819, -2633, -3641?\n\"Answer: -3*v**3 - 34*v**2 + 9*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k - 106. Calculate p(-19).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3\/41 (b) 43 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5355976 litres to millilitres.\nAnswer: 535.5976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -7, -41, -75, -109?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 15*j**2 + 184*j - 6595. Determine n(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56548.\nAnswer: 2, 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, 4, 30, -8, -3, -5 in increasing order.\nAnswer: -18, -8, -5, -3, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 27 - 31 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*w + 24, -2*u - 9 = -w + 3*u. Let n(g) = -2*g**2 - 47*g - 145. Let y be n(-4). Factor -30*t**2 - 23*t - 5 - y*t**3 + 3*t - 5*t**w - 9*t**3.\nAnswer: -5*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w + 2*f, 0 = w - 2*f - 2 + 4. Let j = 6 + w. Factor -r**2 - 5*r + j*r**2 + r - 1.\nAnswer: (r - 1)*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.9 - 17. Let s = b + 0.4. Let g = 1.5 - 2. Put -2\/3, g, s in decreasing order.\nAnswer: s, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48377738 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4094 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 - 1 = 0. Suppose -3*a + 26 = 5. Let r(n) = 10*n**3 - 7*n**2 + 19. Let b(c) = 7*c**3 - 5*c**2 + 13. Calculate a*b(h) + i*r(h).\nAnswer: -h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -1, 0.08, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32990765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvzzzzczzeewzztzee. What is prob of sequence ctv?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 218475820 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 156, 190, 242, 318, 424, 566?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-430)\/(-22360) - 4065\/468\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 <= -108467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 - 2. Let v be s(2). Let q(j) = -4*j + 30. Let a be q(7). What is the greatest common divisor of a and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*1\/2*1. What is the second biggest value in 5, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8141.437345 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 7*w**2 + 7*w + 11. What is the smallest common multiple of o(4) and 90?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213058 or 212667?\nAnswer: 212667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18215 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564415235?\nAnswer: 5, 19, 5941213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 41 = 2*j, -3*j + 2*y + 0*y = -60. Suppose 7*z + 0*z - 98 = 0. What is the smallest common multiple of j and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1833 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116615, -111196, -105777?\nAnswer: -100358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 677 - 4*h**2 + 3*h**2 - 21*h - 669. Is b(-21) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 2\/25 (c) -2\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 8108 = -5*o + 16229 - 8109, v = -4*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/20646 and 17\/211566?\nAnswer: 19675638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/14)\/(6\/(-42)). Suppose -z - 75 - 12 = -5*n, -4*n - h*z = -78. Solve -2*u = -5*d - 10, n = -2*d - 3*u - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -407095, -813613, -1220131?\n\"Answer: -406518*j - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -10*b + 252. Suppose 2*t - 7 = -5*o, 44*t = b*t - o + 3. Do t and -0.32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -132?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) -0.05 (b) 2\/397 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from vlwvlwxxrxwm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-111)\/9)\/(4\/(-12)). Calculate the highest common factor of u and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:55 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 551 + 10214?\nAnswer: 11205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 + 121.28. Let c = 0.08 - j. Let m = c - -4.221. Round m to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117\/4*d**3 - 87\/4*d**2 - 3\/4*d**5 - 135\/2*d + 27\/4*d**4 + 54 = 0. Calculate d.\nAnswer: -3, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -58*g - 5. Let w(o) = -29*o - 2. Calculate 2*n(q) - 5*w(q).\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f + 825 = 0. Let t(b) = 7*b**2 + 2*b - 2. What is the remainder when t(-2) is divided by 3\/21 + f\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5556*c**2 - 186*c**2 - 10*c + 10*c in the form h + r*c + a*c**2 and give a.\nAnswer: -5742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(1\/3)))**(11\/5)\/(m**1)**(-2\/97))**(-18\/7) assuming m is positive.\nAnswer: m**(-12984\/3395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -4*3\/(-12). Let h(a) = 2*a**2 - a - 3. Let v be h(y). Suppose v*m + 10 = 8*m. Put -0.5, 6\/11, m in ascending order.\nAnswer: -0.5, 6\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25565*p**2 + 0*p - 23499*p**2 + 4*p - 3*p.\nAnswer: 2066*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.069 + -0.931. Let b = -1 - 4. Sort b, d, -3.\nAnswer: b, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Suppose r = -3*l - 3 - 0. Let v = 10 - l. Calculate the smallest common multiple of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(2\/7)*h)*h)\/h)**(-3\/2) assuming h is positive.\nAnswer: h**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350080051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4023 and 52083.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -342 - -165d5?\nAnswer: 16293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 10 = -20674*x + 20670*x, -2*x = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -15*z + 132. Suppose 209*a - 205*a - z = 0. Suppose -y = 4*y - 5*x + 5, -3*x + 11 = y. Solve -2*g + k = a + 9, -6 = 2*g + y*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/63913 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9322440?\nAnswer: 2, 3, 5, 77687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -7177251008 and -159.\nAnswer: -7177251167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -68?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*q - 4 + 13 - 9 in the form s*q + a and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -83, -226, -465, -800, -1231, -1758?\n\"Answer: -48*r**2 + r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -63*j. Let m(f) = 725*f. Give 58*a(q) + 5*m(q).\nAnswer: -29*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 65, 75, 85, 95, 105?\n\"Answer: 10*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*y + y - 950790 - 8575*y**2 + 950703 wrt y?\nAnswer: -17150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svsjjr. What is prob of sequence rss?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose -t = -n - 1, -2*t - 8 = -6*t + 2*n. Factor 2*o**t - 2*o + y*o**4 - o**2 - 2*o**2 + o**2.\nAnswer: 2*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 7752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466820 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a**2 - a**2)*(-6 + 1 - 32).\nAnswer: 111*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by -29.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53.27 from 3.\nAnswer: 56.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (52 - 26 - 48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10691*0.28\nAnswer: 2993.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 14. Let b = 54 + -54. What is l(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 14.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 65*q - 22. Let v be w(-21). Let a = 708 - v. Does 28 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -391569.63913 + 391572. Let b = o + -100.22387. Let u = -98 - b. What is u rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 417970 and 490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/(-3))\/(3\/(-177 + -3)). Let a = g - -891. Suppose -32*n + 25*n + a = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2078 plus 0.1?\nAnswer: -0.1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014440 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*v - 30 = 0, -5*l = -0*v + v - 15. Let t = -3 - l. Let x(y) = -2*y - 2. Calculate x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*m**2 + 221*m**2 + 174*m**2.\nAnswer: 335*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(3 + sqrt(80))*-3 + (sqrt(5)*1 + sqrt(5) + sqrt(5))*4 + 4*(sqrt(5) + 2))**2*-6.\nAnswer: -66744 - 20064*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241.99 - -243. Let f = 5.11 - z. Round f to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzbzbzbbfoofxxxx. Give prob of picking 3 z.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8856148445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -19*c**2 + c. Let r be n(1). Let w be -3 - (-50)\/r*-1. Sort -0.1, 5, w in decreasing order.\nAnswer: 5, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -146*o + 11. Let z(c) = 134*c - 10. Let f(w) = -10*p(w) - 11*z(w). Let a(m) = 82*m. What is f(a(k))?\nAnswer: -1148*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**4\/24 + 2*l**3\/3 - 2*l**2. Let w be r(5). Let z be -1*3 + 0\/w. Put z, 0.5, -5\/6 in decreasing order.\nAnswer: 0.5, -5\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4*p + 58*d**2*p + d*p + 276*d + 2*p wrt d.\nAnswer: -48*d**2*p + 116*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 260*h**3*j - 2*h**3 - 21*h**2*j - 7913*h**2 + 2 wrt j?\nAnswer: 260*h**3 - 21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 0.1 (c) 4 (d) 2\/7 (e) 0 (f) 1\/1483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - 7\/(-4). Suppose 28 = -c - 2*k + 168, 2*c = g*k + 262. What is the second derivative of 107*m**4 - 4 - c*m**4 + 9*m + 4 wrt m?\nAnswer: -324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*f + f. Let o(a) = 4*a + 16. Let c be o(-4). Suppose -8 = 5*v - 3, c = -5*s + 5*v + 85. Calculate the highest common factor of f and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9445907333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 - 5*o**2 - 41*o - 8 + 93 - 50 - 228*o. Determine v(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 5) in base 3?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*j + 13 - 106 = 0, 5*j = -v + 3. Let t = -15 - v. Let b = 54 + -54. Solve 0 = -w - 3*x - 0*x + 11, b = 4*w - t*x + 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 3055475?\nAnswer: -3055481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 13*y - 9. What is the remainder when 29 is divided by t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3238*j = 5*n - 3242*j - 122, -5*j + 9 = 2*n - 2*n - 1 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*i**3 + 6920*f**2 - 51*i**3 - 40*i wrt i.\nAnswer: -6*f**2*i**2 - 153*i**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -46. Let k = 52 - m. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 times -59?\nAnswer: 24485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -3*u**5\/5 + 9*u**4\/4 - 6*u**2 - 58. Suppose f(h) = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594*((-8)\/24)\/(4\/(-6)) and 330.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 60*a**4 - 542*a**3\/3 + 91. What is the third derivative of f(x) wrt x?\nAnswer: 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.93 + -2. Is 0.2 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000312635 to six dps.\nAnswer: -0.000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.549701 kilograms?\nAnswer: 549701000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 54042316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g - 26 = 5*j + 33*g + 9, -8*j + 4*g = 60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54400 and 1500?\nAnswer: 816000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 28. Let l(q) be the first derivative of -q**3\/3 + 164. Give m(l(b)).\nAnswer: b**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(225))\/sqrt(5))\/((sqrt(270)\/sqrt(6))\/sqrt(5) + sqrt(9)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 75. Suppose 11*u - 42 = b*u. Suppose -4 - 18 = -4*m - 3*g, -2*m + 2*g + 4 = 0. Solve u + 14 = -4*v, m*v = -3*z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 18212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1134, 1139, 1146, 1155, 1166?\n\"Answer: v**2 + 2*v + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*b**2 - b**2 + 16*b**2)*(2*b + 3*b - 3*b + (b - b - 2*b)*(2 - 2 - 1) - 2 + b + 2) + (-2*b**2 - b**2 + 4*b**2)*(59 - 59 + 6*b).\nAnswer: -399*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120556078 + 27?\nAnswer: 120556116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/3)\/((-14)\/(-105)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/1*(50\/(-10))\/20.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4173109 millilitres to litres.\nAnswer: 0.0004173109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 91 + 4\/9*v - 5\/18*v**2 + 1\/27*v**3. Suppose i(t) = 0. Calculate t.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t**2 + 34*t + 6. Let y(d) = 57*d**2 - 103*d - 17. Let l(z) = -17*c(z) - 6*y(z). Find the second derivative of l(v) wrt v.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6889474, -6889477, -6889480?\nAnswer: -6889483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -22 + 76 + (-1 - (0 + 2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 18*s - 5. Put s, -4, 4, -19 in decreasing order.\nAnswer: 4, s, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-10))\/(130\/(-650))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -25*r + 763. Let c(z) = 9*z - 252. What is -8*c(q) - 3*f(q)?\nAnswer: 3*q - 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(-2*sqrt(1584) + -4))**2 + (-4*(sqrt(1584) + 0) - ((sqrt(1584) + sqrt(1584) + 2 - sqrt(1584)) + 0))**2 + -5.\nAnswer: 249072*sqrt(11) + 8271791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8017 + -8017. Let n = -23 - -32. Let p(y) = -y**3 + 10*y**2 - 6*y - 5. Let d be p(n). Solve 4*f - d = 2*r, 0 = -5*r - c*r - 4*f + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2310222 (base 4) to base 6\nAnswer: 125310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. Solve 5*i + 6*n - n = 10, 2 = p*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080909.98 + -0.3.\nAnswer: 1080909.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 42, -5, -1, 1, 3 in increasing order.\nAnswer: -5, -1, 1, 3, 11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27845 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -106*o**2 - 13*o - 16. Determine a(3).\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -381, -1752, -4453, -8826, -15213, -23956, -35397?\n\"Answer: -57*u**3 - 323*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjjj when four letters picked without replacement from {s: 14, j: 5}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose -h + 0*h = -o + 18, -5*o = t*h - 99. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/5 or 15?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.44 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179.03 - 179. Which is the closest to h? (a) 0 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.1, 1\/5, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1104\/(-23))\/(-16)*(-4)\/340*-5?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/3)\/n*n\/n**(-5)*n**(-3)\/n**(-4) assuming n is positive.\nAnswer: n**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6*h + 4)*(0 + h + 0) + (0*h + h + 0*h)*(-h + 6*h + 0*h) as u*h**2 + j + z*h and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 5904*a + 5911*a - 11*a**2 + 3 to the form m + r*a**2 + p*a and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*d - 164*d + 41 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -4*p - 150. Suppose 0*h = -6*h + p. What is the second derivative of -15*v - 11*v**5 - 26*v**h + 5*v**5 wrt v?\nAnswer: -640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490\/(-5896) + 40\/(-5280)*-33 + 14\/(-77).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -0.576 (c) -2\/11 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-10)*-10*1\/(-4). Suppose -3*z + 36*f = 32*f - 11, 2*z = -f. Suppose -k = -3*k. Which is the closest to r? (a) k (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 47*q**2 - 4*q + 137. Suppose 438 + 1019 = -31*g. List the prime factors of x(g).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8642.\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - 7 = 0. Suppose -3*i - 28 = -2*f - 0*i, 4*f + i = 70. Let v = f - j. Solve r - d - 6 = 0, r - d - v = d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.36 - -0.36. Let m be (-1)\/10*5\/(-2). Let x = -0.8 + 5.8. What is the closest to y in 2, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1474 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -35*w - 62*w + 41 + 7*w. Let l(s) = 18*s - 8. Let p(f) = 11*l(f) + 2*z(f). What is the first derivative of p(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464761382.\nAnswer: 2, 89, 971, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234296\/18 + (-680)\/1530.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110221, 221734, 333247, 444760, 556273?\nAnswer: 667786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.5 - -22.6. Suppose g + 4 = 3*g - 2*m, 4*m + 2 = 3*g. Let p be g\/18 + 16\/(-30). Is v bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166575 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1197, -776, 105, 1590, 3823?\n\"Answer: 24*q**3 + 86*q**2 - 5*q - 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001 + 110?\nAnswer: -100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*q + 19, -2*q - 1 + 12 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -0.5, 26, -12, 3 in ascending order.\nAnswer: -12, -5\/6, -0.5, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 111431, 111433, 111437, 111443?\n\"Answer: f**2 - f + 111431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 100 = 2*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 8708 - 2403. Suppose 2*d + 3*q - 461 = 348, -3*d = -5*q - y. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15752, -15540, -15290, -14996, -14652, -14252?\nAnswer: -13790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 2*a - 3. Let c be k(0). What is the units digit of (6 - 4) + (c - -32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/11 - 342*v\/11 - 4860 = 0?\nAnswer: -99, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -429*v**2 - 19*v - 9. Let p(h) = -143*h**2 - 6*h - 3. Let f(x) = 2*l(x) - 7*p(x). Is f(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 2*a**2 - 9*a - 4. What is t(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5221398 divided by -19929.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + 0) - (10 + -9 + -38)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by 88\nAnswer: 67\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2) + 1\/1. Suppose k + 62 = 4*c, 65 - 9 = n*c + 2*k. What is the greatest common divisor of c and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(41 + 65). Suppose -l*h = -69*h + 768. Calculate the highest common divisor of 408 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0 + 0*k + 32\/3*k**3 + 43\/24*k**4 + 57*k**2. What is the first derivative of j(x) wrt x?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/28)\/(2\/(-6)). Which is the third smallest value? (a) -0.5 (b) -2\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -7) + (-11 - 2) + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1030 * -0.9.\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Suppose 0 = -x*v + 8 + 72. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465233603137.7 minus 131?\nAnswer: -465233603268.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 24073*p + 311. Let d be s(-7). Round d to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000523604 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1541453\nAnswer: -1541457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26350.76 nanograms?\nAnswer: 26.35076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x - x**2)*(-5*x**2 - 3*x**2 + 4*x**2).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2041281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**3 + 85*b**2 - 30*b + 22. Is v(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066529?\nAnswer: 17, 43, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2056, -2868, -3680, -4492?\nAnswer: -5304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 4*p**3 + p**2 - 15*p**3.\nAnswer: -19*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.3, -6\/191, -4\/9, -3, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18692 - 14644. List the prime factors of y.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let r = h + -0.2. Let c = -0.2 - r. Is 0 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**6\/6 - 5*t**4\/6 - 10*t. What is the third derivative of q(g) wrt g?\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5156*t - 1829 wrt t.\nAnswer: 5156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 0. Let g = 1267.9 - 1268.19. Sort u, g, 1\/8, 0.3.\nAnswer: u, g, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 greater than 90\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*y - 27 = 0, y = 5*w + 2*y - 19. List the prime factors of (w\/(-1) + 58)*1.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-5))\/(2*1\/10). Sort j, -7, 5, -5 in ascending order.\nAnswer: -7, -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46234 is divided by 272.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -4 + 2\/1. Find the common denominator of 4\/(12\/39 + -2) and c - 3 - (-46)\/(-9).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 2*m + 91. Solve 0 = 28*n + 147 - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21218*i**3\/5 - 2478592*i**2 + 962464*i\/5 - 18688\/5.\nAnswer: 2*(i - 584)*(103*i - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 138803665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 236. Let k = 243 - m. Let t be 4\/14 - 2587228\/k. What is t rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*(-11)\/((-66)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 - -0.5. Let k = 488.9122 + 0.0878. Let t = k + -498. What is the closest to m in t, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57.47 + -18055.\nAnswer: -18112.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 - (-22 - (25 - 40))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143469612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4868677 is divided by 518?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2904 and 51183.\nAnswer: 409464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 21*b**3 - 4*b**2 - 4*b + 22. What are the prime factors of g(5)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 - 3*t - 9. Let p be x(-6). Suppose -2*s - 59 = -3*l, 4*l - 3*s = 2*s + p. Let y = -3 + l. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - 32\/(-4). Suppose -2*j + 2*w = 6, 3 = -4*j + 3*w - 6. Let l = j + 4. What is the highest common factor of l and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283566 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11189*n - 11187*n + 71*u = -225, -3*n - 3*u - 22 = 5 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 + 466570*s**2 = 0. Calculate s.\nAnswer: 0, 93314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = -2*p. Suppose -4*z = -2*t - z - 2, -p*t - 5*z = -18. What is the third derivative of -3*r**4 - 37*r**2 + 2*r**4 + 57*r**t wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 - 4 - 97*y - 13*y. Let l be n(-2). Suppose 0 = 2*v - l - 80. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 1292960*t + 3*t**3 - 646476*t - 646484*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-3)\/((-90)\/35))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from ymfyyfyymyyyyffyff?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 828 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22 + 33*j + 8 + 0 - 38. Let o be f(2). Suppose y = 6*y - 210. Calculate the highest common divisor of y and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4764 - -48243?\nAnswer: 53007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 7. Let f be k(-7). Let i = f + 6. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -5620.15.\nAnswer: -17422.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*t**5 + 365*t**4 + 975*t**3 + 755*t**2 + 170*t = 0. Calculate t.\nAnswer: -1, -2\/5, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 0*4\/12. Find the third derivative of -l*b**6 + 10*b**2 - 20*b**2 - 2*b**6 - b**2 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-18)*3*-12*(-72)\/(-48).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n + 448 + 599 = -317 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.679108823841 and 0.4.\nAnswer: 1.079108823841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2552 minus -0.034?\nAnswer: -0.2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 - 5*k**3\/3 - k**2 - 9*k - 5. What is the remainder when h(-6) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(68) + 2)*-3)**2.\nAnswer: -72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1630*i**3 + 2*i**2 - 2171*i + 2171. Calculate c(1).\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-2 + 8 + -9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*d + 14. What is the second derivative of -25775*q**d + 4*q**4 + 139*q - 51*q + 25776*q**2 wrt q?\nAnswer: 48*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2016 + -2010. Let y(p) = -2*p**3 + 3*p**2 + 3*p. Let b(z) = 4*z**3 - 5*z**2 - 5*z. What is t*b(r) + 10*y(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 932\/5 + 380\/(-950). Let x = -172 + u. Solve 5*r + 0 = -x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -3*a. Let v(c) be the second derivative of -c**4\/12 + 2*c**3 + 17*c**2\/2 - 4*c. Let o be v(13). Solve 3*m - m - o = a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1643, -3264, -4879, -6482, -8067, -9628, -11159?\n\"Answer: m**3 - 3*m**2 - 1619*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 5*o = 2600. Let f = o + 2187. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 58 = -16. What is the highest common divisor of 354 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*d**2 - 2 + 2.\nAnswer: -534*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*c*l**2 + 2*c*l + 229*c + 7932*l**2 wrt c.\nAnswer: 17*l**2 + 2*l + 229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 3*p + 10. Let c(t) = -13*t - 183. Let a be c(-14). Let u be (2\/6 + a)*6. Let o(y) = -2*y**2 + 2*y - 5. Calculate u*q(b) - 7*o(b).\nAnswer: -2*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 9*o**2 - 4*o + 14. Calculate the remainder when (-1978)\/(-8) + 90\/120 is divided by r(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 0?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*a**2 + a + 3 + 2 + 0 + 1.\nAnswer: -56*a**2 + a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8218*b + 99299. Determine v(-12).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:08 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**6 - 9931*o**4 - 846*o**2 wrt o?\nAnswer: 240*o**3 - 238344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15390.69 times 137\nAnswer: 2108524.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwmwwpcwmcmw. What is prob of picking 1 c and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922.657 centuries to decades.\nAnswer: 9226.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*o + 261 - 247 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2 + 3 - 1 - u - 8. Let j(r) = -4*r**3 - 8*r**2 + 6*r. Let k be j(1). Calculate g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m. Let i(k) = -447*k. Calculate y(i(d)).\nAnswer: -3129*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/(-221) + (-431)\/156 and 65\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68907 (base 10) to base 13\nAnswer: -25497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 51*q**2\/2 - 267*q\/2 + 315\/2.\nAnswer: 3*(q - 21)*(q - 1)*(q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1532351 + -44?\nAnswer: -1532435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13.3. Suppose -4*h + 4*x = -0*x + 4, 9 = -3*x. Let z = -2.08 - -0.08. Which is the fourth biggest value? (a) h (b) 3\/2 (c) g (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044035 rounded to five decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -11. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7664323.\nAnswer: 29, 127, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 565539 and 11709984?\nAnswer: 199069728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x + 7. Suppose 0 = -3*i - x*d + 15, -2*d + 13 = 3*i + 1. Sort -3, i, 0 in descending order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 - -0.1244. Round o to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 17*w - 99. Let i be j(-12). Let t = i - -330. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.273 (b) 4 (c) 0.4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4) - (-3 + (-1653)\/(-6)). Let j = g - -269. What is the third smallest value in 2\/7, j, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 284*i + 8. Give o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17017805*-5\nAnswer: 85089025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 164*h**2 - 8*h + 58. Let p(q) = -q**2 - 2*q - 10 - 2 + 9 + 3. Let d(c) = i(c) - 4*p(c). What is the derivative of d(k) wrt k?\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/11, 501 in ascending order.\nAnswer: -1\/11, 2\/7, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8066374507*h**2 - 1 + 1 + 8066374506*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.88 - -23.88. Suppose 30 = -8*f + 6. What is the nearest to f in 8, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-15) + (-44)\/(-5). Let t be 18\/(1 - 1 - -1). Find j such that 0 + 48*j**2 + t*j**4 + 27*j + f*j**3 + 6 + 3*j**5 + 34*j**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49, -93, -165, -265, -393?\n\"Answer: -14*x**2 - 2*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 2*g - 4*g + (1 + 3 - 3)*(4*g + 3*g - 6*g) - g - 2*g + g + (2 - 3 + 6)*(-380 - 445 - 381 + 391)*(-g - 2*g + 5*g).\nAnswer: -8153*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - g + 1266 = 0, 0 = -5*g - 258 + 288. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/114 and 25\/13473?\nAnswer: 511974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15610 bigger than 12570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24359*o*x + 23965*o - 2 wrt x.\nAnswer: 24359*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24927 and 4851.\nAnswer: 5758137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c28392 + -13?\nAnswer: -9c283a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 6*c - 160 + 6*c.\nAnswer: 2*c - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.063, -4, -3.9, 18, -53\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11030 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 7. Let h be y(0). Let w(s) = -s**3 + 11*s**2 - 6 + 158*s - 3*s**2 - 164*s. What is w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(3 - (-21)\/(-9)). Suppose b*j = -3*j + 420. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644611256 a multiple of 6218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7219.528 years to decades.\nAnswer: 721.9528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (7 - -8 - 22) + 10\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -12006?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2 + 2*c - 1610 - 7*c**3 - 26*c**5 + 1704 + 61*c**5 wrt c?\nAnswer: 700*c**3 - 42*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9016 or 9036?\nAnswer: 9036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 5*k + 8. What is p(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 165*(-1)\/(-1). Suppose 196 = -4*x - v, 2*v + p - 413 = 5*x. Let i = x - -82. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 - 79929\nAnswer: -79966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-100))\/(-18*(-14)\/420)*(-3)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3761, 0 in descending order.\nAnswer: 3761, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 8099863\nAnswer: -8099843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - (6 - -1 - (97 - (-68 - -148))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 + -131. Let n = -278 - v. Which is the second biggest value? (a) n (b) -1 (c) 8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 8.9. Let s = t - 1.7. Which is smaller: -8 or s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - 185?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 71781236950 to the nearest one million.\nAnswer: 71781000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f = 52*f + 76*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 8*x - 45 = -4, -4 = -3*x + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56 + (-5002)\/(-82))*(-4)\/(-25). Let u = 45817\/15 - 3053. Factor -o + u*r + 2\/15*r**3 - 4\/5*r**2.\nAnswer: 2*(r - 3)*(r - 2)*(r - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 9607390?\nAnswer: 28822170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0522140148 to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.01 - 0.01. Let z = 82 - 87. Let k = 5.57 + -5.97. What is the nearest to u in -0.5, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*1*4)\/((1*sqrt(35))\/sqrt(5) - sqrt(224)\/sqrt(8)) + 4.\nAnswer: -8*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -8, 10, 42, 94, 172, 282, 430?\n\"Answer: x**3 - 2*x**2 + 9*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 160, 85, 10?\n\"Answer: -75*v + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*6*110\/(-75). What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1819 divided by -3?\nAnswer: 1819\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/(((-7021)\/22491)\/(-59))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 369.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89870 and 301?\nAnswer: 629090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.103468 rounded to four dps?\nAnswer: -0.1035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, p: 6}. Give prob of picking 1 k and 1 p.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o + 4935 = 241*o + 200*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1219 + -326. Is 48 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 11 - 102 - (-8 - (-15 - 0))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187116411*d**6 + 209314287*d**2.\nAnswer: -22453969320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**4 - 702*a**3 + 8*a**2 - 16021*a wrt a?\nAnswer: 24*a**2 - 4212*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**14)\/m*m**(1\/12))\/(m**14\/((m**8\/m*m)\/m*m)) assuming m is positive.\nAnswer: m**(97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1407839706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1151\/5 - -231. Let k be (939\/(-9) - 6)\/((-2)\/2). Let j = k - 111. Which is the nearest to j? (a) -0.2 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 39*s**2 + 164*s - 254. What is k(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 + -231. Calculate the greatest common divisor of 28 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 19. Suppose a - 61 - 11 = 0. Suppose -4*g + a - 22 = 2*l, -4*l - 56 = -5*g. What is the remainder when z(8) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 1, n: 5, r: 1, l: 7, p: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368815176 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*w - g, 0 = -4*w + g - 2*g + 81. Let q = -6 + w. Calculate the lowest common multiple of 8 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.529114 microseconds in milliseconds?\nAnswer: 0.003529114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n - 567 = 110*n - 15527 for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -416 = -5426\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47983560 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 645449.25142 plus 3655?\nAnswer: 649104.25142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1142*r + 63*r + 2088*r + 226*r to j + a*r and give a.\nAnswer: 3519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j = -61*j + 9*j + 774 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -5, -21, 66.6, 0.2 in decreasing order.\nAnswer: 66.6, 0.2, -3\/4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1299 - -1274. Put 2, o, -16 in ascending order.\nAnswer: o, -16, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -272, -279, -306, -359?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u + 2. Let g be h(-2). Let z = -10 - g. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 241226 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + 7 - (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*v - 977 = 2218 - 335 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z - 1. Suppose -4*c = -2*s - 16, 3*c + 15 = 4*c + 5*s. Let t(b) = b**2 - 5*b + 1. Let h be t(c). What is n(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 21*c - 95. Suppose -c*u + 9*u + 3*o = 34, 0 = 2*o + 4. Let a(s) = -s + 8. Give a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 15*r**2 - r + 13. Let n be k(15). Let g be (4 + -4 - n)*-2. Let z be -6 + 5 + -2 - -5. Put g, 1, 5, z in decreasing order.\nAnswer: 5, z, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(2 + -4 + 1). Let o = n - -3. Calculate the greatest common factor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - f**2 - 3*f + 2. Suppose 0*u - u - 11 = -5*o, 9 = 5*o + u. Let l = 22 + -7. Calculate the remainder when l is divided by t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2360 and -49\/2950?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-104))\/((-1)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 51900000 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (3 - 9 - -28)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Suppose b - 2*u - 4 = 0, -18 - 2 = -5*b - 4*u. Let p(m) be the second derivative of 0*m**3 + 3*m + 0 - 1\/6*m**b + 0*m**2. Calculate p(a(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 0)*(1 - 3 - 2)*(5 - 4 - 2)*(-2*z + z + 0*z)*(-3*z**2 + 3*z**4 + 3*z**2)*(-11 + 18 - 23).\nAnswer: -960*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66 and 0.08?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113126230 divided by -5.\nAnswer: -22625246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)*((m*m*m*(m\/m**(-1)*m)\/m*m*m*m)\/m)\/m)\/(m**(-13)*m\/m**(-12)) assuming m is positive.\nAnswer: m**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -1\/70*d**7 + d**2 + 1\/2*d**3 + 0*d**4 - 2*d - 3\/20*d**5 - 11\/40*d**6 + 0. What is the third derivative of v(r) wrt r?\nAnswer: -72*r - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120720 and 480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1940.6952 - 2022.59289. Let z = -73.898 - l. Let n = z + -8. Round n to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315775.8nm in micrometers?\nAnswer: 315.7758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*r + 64 = 470 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2291 and 34336?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12253 + -10552. Calculate the highest common factor of 1053 and n.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**7\/56 + 39*f**6\/40 + 99*f**5\/2 + 724*f**4 + 4032*f**3 + 8297*f. Factor l(y).\nAnswer: -3*y*(y - 63)*(y + 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/25 (b) -1\/2 (c) 0.13 (d) 19.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 6, -91, -290, -627, -1138, -1859?\n\"Answer: -6*q**3 + 3*q**2 + 2*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1080)\/(-1824) - 27\/(-171))\/((-41)\/(-4))?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 290, 583, 876, 1169, 1462, 1755?\n\"Answer: 293*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 10 = -f, -5*c + 2*f + 218 = 0. Let g = -79 + 253. What is the remainder when g is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgxhggxcmgh. What is prob of sequence hc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2066102 and 2979?\nAnswer: 18594918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4\/4 + 330*x**3 + 15141*x**2\/4 - 58035*x\/2 - 32472 = 0.\nAnswer: -16, -1, 6, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*c + 136972, f + 4*c = 24056 + 10187. Is f a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v - 2. Let p be z(-1). Suppose 3*h = p*h - 120. What is the remainder when 97 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2837405, -2837128, -2836851, -2836574?\nAnswer: -2836297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-615 + 1259 + 1615)*(-n + n - n)*(2*n + 2 + n**2 - 2).\nAnswer: -2259*n**3 - 4518*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/1686397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3845 is divided by 1921.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 9*s - 281. Let n = 49 - s. What is the units digit of (4 - n - -1)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -6*a + 2, -l + a + 3 = 0. Let p = l - 2. Suppose 4*q - 3*w + 8*w - 33 = p, -q + 17 = 3*w. Let z(u) = -u**3 + 3*u**2 + 2*u - 2. Calculate z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425204 and 17446.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2870510, -2870520, -2870530, -2870540, -2870550, -2870560?\n\"Answer: -10*d - 2870500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6136*m**4 + 22*m**3 - m**2 + 1841625*m + 2?\nAnswer: -147264*m + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 15.461?\nAnswer: -154.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5276704 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100100011000010 + 101?\nAnswer: -101100100010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*x + 3, -165*x - 29*x - f = -199*x + 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -5, 1\/83, -1\/3, 0.4, -10, -41?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/17))\/l*l*l*l**(8\/9)*l**(-9)\/l**15)**(1\/25) assuming l is positive.\nAnswer: l**(-3257\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37296 and 189?\nAnswer: 111888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/190 and 44\/171?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525706 divided by -4?\nAnswer: -762853\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**8\/10080 + o**5\/30 - 2*o**2. Let g(r) be the third derivative of v(r). Let n(z) = -z. Determine g(n(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 14*y**2 - 8*y - 4. Let j be m(-18). Let d = j - -1159. Factor 2\/3*f**2 - f + 7\/3*f**d + 0 + 2\/3*f**4.\nAnswer: f*(f + 1)*(f + 3)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422382.3 centuries in decades?\nAnswer: 4223823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/12)\/((-5)\/135). Solve -3*b + b = 4*r + 2, 0 = -3*r + 5*b + v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 20. Suppose 2*q - i + 3 = 0. Suppose q*o - 200 = 4*o. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 196105*g**2 - 259477 wrt g?\nAnswer: 392210*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/432 and -25\/99?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4, -26, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.97 + 0.03. Let k = 13.74 - b. Let x = k + -0.14. What is the second biggest value in -2\/7, 3, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023999 is divided by 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1420)\/(-994))\/((-4)\/(-12670))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 100 + 100.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. What is the third derivative of 6*t**4 + 3*t**j - 2*t**5 - 6*t**4 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -34, -29, -22, -13, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2912 = -39*o - 1536 - 1493 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oftnfotoootoofon. What is prob of sequence nf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*r**2 - 4\/15*r**4 + 8\/15*r + 2\/5*r**5 - 6\/5*r**3 = 0. Calculate r.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 n when four letters picked without replacement from xnxnnxnn?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 192*j + 2709 = 0. Calculate j.\nAnswer: 21, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27742912 divided by 4\nAnswer: -6935728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(13) + sqrt(13) + 1))**2.\nAnswer: 384*sqrt(13) + 5088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*p + 7*p + 26*p to the form j*p + w and give j.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -8. Let p be (-1 + i - -2)\/2. Suppose -w = -2*f + 40, 5*f + p*w - 93 = -w. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 861*h**2*k**2*w**3 + 997*h**2*k*w**3 + 4584*h**2*k*w - h**2*k - 11443*h*k**2*w**3 wrt k.\nAnswer: 1722*h**2*w**3 - 22886*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, s: 7}. What is prob of picking 3 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6*h + 179 = 121, -18*h = 5*j - 23*h - 41 + 106 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/27036 and 139\/112650.\nAnswer: 675900","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 8*s**2 + 9*s + 10. Let b be h(9). Let g be 3\/(-15) + 22\/b. Are g and 8\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 10*g - 56. Which is the closest to g? (a) 4 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -82. Let p(o) = -1 + 0*o + o + 0*o + j*o**2 - 8*o**2. Let b be (-13)\/3 + (-4)\/(-12). What is p(b)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 41 = -5*u. What is the smallest common multiple of u and 3*3*14\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 16 = 0. Let n(d) = d**3 + 8*d**2 - 10*d - 5. Let c be n(-9). Calculate the highest common factor of c and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 h when four letters picked without replacement from lhqlqhhqglqlq.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.3 and -0.2?\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-13)*(-2509)\/386?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216) + 4 + -2 + 0 + 1)**2.\nAnswer: 96*sqrt(19) + 4873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l - 3. Let x be w(-3). Suppose 2*a - 1458 = 313*j - 318*j, -2*j - a = -585. Calculate the highest common divisor of j and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -146, -562, -1264, -2258, -3550, -5146, -7052, -9274?\n\"Answer: -k**3 - 137*k**2 + 2*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*x**3 + x + 5*x**3 - 2*x**3)*(2 - 3 + 0).\nAnswer: -x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1676 = -822*u + 1612. Suppose -1 - 5 = 2*v. Sort -4, -24, u, v in ascending order.\nAnswer: -24, -4, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/464 and -35\/2851776.\nAnswer: 82701504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b43 (base 15) to base 2\nAnswer: 100111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 - 363 - 391 - 13*i**2.\nAnswer: -30*i**2 - 754","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by (-108)\/252 + (-188)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2359 - 1453. Let d = 64 + s. Round d to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/30712046?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -619994 times 0.047\nAnswer: -29139.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 5, l: 5}. What is prob of picking 1 y and 1 l?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) + (-38)\/(-28). Let l be -1 + 1 - (-7 + 6). Let o be 2 + l\/(3 - 4). Which is the third smallest value? (a) o (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*b**3 + 46*b**2 - 12*b + 122481 with respect to b.\nAnswer: -105*b**2 + 92*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*j**2 + 1699*j**2 - 595*j**2)*(4*j - 3*j + 0*j) - 4*j**3 - j**3 + 4*j**3.\nAnswer: 948*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 387187.5164 rounded to the nearest ten?\nAnswer: 387190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven fifths of a litre in millilitres?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p + 5630. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 8:50 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 86*w - 8 = x + 39*w, x + 4*w = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21*i**2 + 17*i + 4. Let m be r(12). Suppose 0 = 18*o - 2*o - m. What are the prime factors of o?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14970618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**3 - 1023*c**2 - 1088*c - 9426. Determine g(129).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 0.15 (c) -4\/7 (d) 0.41 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2 - 8*c - 6 + 7 + c**2. List the prime factors of v(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -51. Suppose -3*v + 11 = -4. Let d be (0 - -5) + -10*3\/30*5. Solve 5*a - 5*u - 20 = 0, -a - b = -d*a + v*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-16 + 5\/(-5)). Suppose -156 = -3*i - 3*s, 11*s - y*s + 104 = 2*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-10))\/((-3)\/(-15)). Let g be -1 + (o - (3 - 2)). Is 7 a factor of -2 - g\/((-2)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 2*g - 3*g - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -5, -0.033?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112243423477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.06 (c) -2\/5 (d) 0.2084 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s**2 - 1298*s + 3677. Give g(-79).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/4)\/((-21)\/56). Let d = 47 - l. Calculate the greatest common factor of d and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102565 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: Let i be 12\/42 + (-3856)\/(-28). Let n = i - 549\/4. Let w(r) = r**3 - 10*r**2 + 8*r + 4. Let u be w(9). Which is the closest to 0.1? (a) u (b) -2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(((a\/a**0)\/a)\/a))**(-20)\/(a**(-1))**(-46))**(-22\/9))**(-9\/4) assuming a is positive.\nAnswer: a**(-473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s = 22*s - 3*a + 13, -2*a = -2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -169. Let u = s - -152. Solve 0*c = -c - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49698908 <= 49698908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:38 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -3, -94 in decreasing order.\nAnswer: 3, -3, -12, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 6)*(-3*u + 6*u + 0*u) + 5*u - 4*u + u + u + 0*u + 0*u)*(-26 + 36 + 36 + 3*u) to the form h*u**2 + q*u + w and give q.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -30, -43, -56, -69, -82?\n\"Answer: -13*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 2*l)*(3 - 4 + 0) + 10 - 10 + 3*l + (-1 + 4 + 1)*(-1 + 1 - l + 1).\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -3, -28, -89, -198, -367, -608?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100111110001011101 + 110?\nAnswer: 10100100111110001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 3091044?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1300842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/10)*v*v)\/v**(-1))\/(v*v**(-4)*v**(-1\/3)*v) assuming v is positive.\nAnswer: v**(163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from {r: 4, h: 3, s: 1, q: 1, o: 3, z: 5}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26348893 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -13. Suppose 0 = -z*j - 2 + 8. Let x = 20 - 12. Calculate the remainder when x is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdvdddvdvddvdd. What is prob of sequence vddd?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -71*t - 3. Give v(-7).\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72505, 72507, 72509, 72511, 72513?\nAnswer: 72515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 102. Let k = 3361 - 3392. Does j = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w + 3*w - 2*w + 4*w. Let y be a(-6). Solve 15 = 3*z - 4*v, 5*v = -2*z - y - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*l**2 + 73561610*l + 122602725.\nAnswer: -5*(l - 4904109)*(3*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700506 is divided by 2084?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11918\/15 + 869839\/1095. Find the common denominator of -76\/27 and g.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 3) + (5 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 16054.\nAnswer: 64216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 8, b: 1, y: 2, p: 1, h: 3}. Give prob of sequence bp.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 68997 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32433483497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120111010 + 22?\nAnswer: -120110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137.22 - -141.22. Which is the nearest to 158? (a) 2\/13 (b) 2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/322, 9.49, 2, 0.3?\nAnswer: -3\/322","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let a(p) be the first derivative of 364*p**3\/3 + 372. Determine o(a(n)).\nAnswer: -728*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:52 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*b = 26, 5*l + 5*b = 48 + 7 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*v + 222, 46 = -0*w + w + v. Suppose q - 8 = -w. Let u = 40 + q. Solve -h + 11 = -4*p, -3*p + h = u*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 6*k - 2*k)*(-4 + 5 + 1) + k + 0*k + 21*k + k + 4 - 2*k - 2.\nAnswer: 35*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(5\/90*-33)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q - 4. Let c be k(4). Suppose 12 + 0 = -2*d. Let l be 15\/d*(4 - (-140)\/(-25)). What is the greatest common divisor of c and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317*u**2 - 313*u**2 - 22 + 5 - 50*u**4 - 2*u**3 wrt u?\nAnswer: -1200*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 2904.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/6, 2, -3\/7, 2\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*l - 17, 5*l - 2*v = -8 + 19. Find the common denominator of (178\/36 + 3)\/l and -51\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13164630 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05 (b) 0.4 (c) 0.0981 (d) 1\/8 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 4. Let z be t(0). Suppose -z = -2*s, -164 = -4*b + s + 86. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 518*x - 6 - 211*x + 404*x + 803*x + 5 to the form r*x + a and give r.\nAnswer: 1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1025*t + 1025*t + 41 + 2*t**4 + 8*t**2 + 9*t**3 as l*t**3 + b + v*t**4 + z*t**2 + k*t and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*f*h**3*q**3 - 1182*f*h**2*q**3 + f*h**2*q**2 + 9309*f*q**3 + 9074*h**3*q + 2*h**3 wrt h?\nAnswer: 102*f*q**3 + 54444*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from mmmyiyiiymyyiiii.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 10*z**2 - 13*z - 22. What is l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h + 832 - 449 - 5*h**2 - 17*h - 383.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15 = -12. Let m(g) = 3*g**3 - 2*g**2 - g + 1. Let s be m(2). Solve -a = -5*j + 2*j + s, -v*a + 4*j = 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921409452 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -5089 + 339. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 668 = -5*v - l, 0 = 3*v + l + 402. Let g = -22\/91 - -8501\/910. Find the common denominator of g and 1*2 + v\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5668 and 110313668.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 325153896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 - 2*f**2 - 20*f - 26. Let s be r(-2). Solve -13*w + 12 = s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(18\/(-12)))\/(3\/(-3)). Let x = -32.3 - -32. Which is the biggest value? (a) x (b) -8 (c) -1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -16*s - 4. Suppose -4*w + 4*k + 28 = s, k + 3 = -0*k. Solve -13 + w = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9395 divided by 3.\nAnswer: 9395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1176970451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**1)\/j)**(-1\/19))**(-2\/19)\/((j**1)**(-29)\/((j\/((j\/j**(6\/7))\/j))\/(j**(1\/3)\/j))) assuming j is positive.\nAnswer: j**(239024\/7581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + -2 + 655\/15. What is the highest common factor of s and 588?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 0.8. Let n = 5668 - 5665. Let x = 9 + -16. What is the fourth smallest value in n, 0.2, r, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.3337, 2, 0.14, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 8. What is a(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 8:04 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 45. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z - 3*z**4 + 96 - 3*z**3 - 96 + 15*z**2.\nAnswer: -3*z*(z - 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1. Let n(w) = -w**2 - 8*w + 1. Let y(p) = -n(p) - 3*s(p). Let u be y(-8). Suppose -u*g + 4*g - 40 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*v**2 - 449*v**2 - 11*v - 458*v**2 + 2234*v**2 - 440*v**2 - 445*v**2.\nAnswer: -5*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -8\/5*x**5 - 160\/33*x**3 - 6 - 16\/11*x**2 - 7\/33*x**6 - 48\/11*x**4 + 0*x. Find r, given that l(r) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110021201200001 - 2?\nAnswer: -1110021201200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48392 is divided by 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 40. What is the remainder when 229 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 171\/38*28\/63. What is the highest common divisor of 79 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0) + (339 - 349)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(-37 - -25).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*3*6)*6)\/(sqrt(200) + 3*(sqrt(200)*-1 + sqrt(200)) + sqrt(200)).\nAnswer: 57*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 227403 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - 4*t)*(3 + 0 + 0) + 3*t + 3*t + 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18)*1440\/768*-2*4?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 11*m - 6. Let j be f(5). Let y = 12 - j. Does 12 divide (-54)\/4*32\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 880 = -3*t, 3*t = -3*v - 0*t + 2640. Suppose 0*l + f + 4388 = 5*l, -l + f = -v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k + 29 = -2*x + 67*k, -80 = -22*x - 2*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 7. Let i = j - -15. Suppose 0 = -b + 5*b - l - i, -4*l - 16 = 4*b. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 19*q = 23*q - 9, 4*q + 5 = -3*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/3)\/((g\/(((g\/g**(-3))\/g)\/g))\/g)*(g**1\/g*g)**(-39)*((g**(-2\/11)*g)**(-40))**(8\/7) assuming g is positive.\nAnswer: g**(-17341\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*d + 17*d + 31*d)*(0 + 0 - 62*d**2 + 69*d**2 - 228*d**2) to g*d + x + k*d**2 + s*d**3 and give s.\nAnswer: -2431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -802 + 804. Let f be 5*((-14)\/(-10) - 1). Suppose -4 = -d*m, -m + f*m = -x + 30. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9192441 millennia in years?\nAnswer: 919.2441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5427716 is divided by 1085542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 33*j**2 - 162*j + 145. Let y be v(-37). Is 663 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtt. What is prob of sequence jt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gffg when four letters picked without replacement from gffffgfffffg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-103)\/(-4)*-2086 + (-1)\/2. Let n = 20715 + m. Round n to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/5 + 1588*p**2\/5 - 46002*p\/5 + 123768\/5 = 0.\nAnswer: 3, 27, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**3 + 83*i**3 + 270*i**3)*(4 - 10 + 2).\nAnswer: -1444*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:56 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. What is the fourth biggest value in -2, l, 147, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 106. Suppose 0 = 49*m - 44*m - j. Put 2, 0, m, 3 in ascending order.\nAnswer: 0, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 18 = -m - 3*q, 32 = -4*m - 4*q. Let o be 6\/(-90)*-9*(-10)\/m. Solve 0 = 4*i - 0*i, o*i - 2 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(5 + ((sqrt(85)*1 - sqrt(85))*5)\/sqrt(180) + -1))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m - 792 = 0. Calculate the smallest common multiple of (-54)\/(-8) + -1 + (-4695)\/6260 and m.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 + 2285?\nAnswer: 224d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 10*x + 1. Let i be q(11). Suppose i*v + 46 = 14*v. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - ((12 - (-13 - (-32 + 9))) + 8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllss. What is prob of sequence sl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 81064 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602286430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -123, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.808 + 17.408. What is the closest to 6 in 0.4, -1\/6, i, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 1, m: 1, u: 1, b: 1, k: 1, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -16, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -845, -1691, -2539, -3389, -4241?\nAnswer: -5095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/4 (b) -18 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 + -1) - (1216 - 1183) - (-4 - 1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513307074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 11. Suppose 126 = q*r - 3*j, 3*r - 4*j - 68 = 2*r. Let w = 62 - r. Solve -4*c = -w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 96*d**2 + 5*d - 12. Let c(b) = 14*b**2 + b - 2. Calculate -4*c(m) + r(m).\nAnswer: 40*m**2 + m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 5*t - 5*h, -2*t = -5*h - 4. Which is the nearest to t? (a) -3 (b) -0.07 (c) -2\/5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72\/35? (a) -2\/5 (b) 5\/4 (c) -22\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 0.1 (c) 4\/3 (d) -0.0906 (e) -5 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(17)*6 + 0)**2.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74731227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4299 + -4068. Calculate the greatest common factor of 1078 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2898 by -1.\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 22*l + 14. What is the remainder when 136 is divided by r(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*s + 5*m - 14 = 4*s - 16, -53*s + 2*m = -161 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80978924*o**4 + 80096726*o**2 wrt o.\nAnswer: 1943494176*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -53. Suppose j - 4*t = 2*j + g, -2*j - 2*t - 38 = 0. What is the units digit of (j\/(-12))\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 g, and 1 q when four letters picked without replacement from {q: 1, i: 2, v: 1, g: 11, j: 1}.\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*15\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -10?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = -4*d, 4*i + 26 = -2*d. Let n(l) = -l**2 - 6*l + 21. Let z be n(i). Let q = z + 8. Solve 4*a - q - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118? (a) -1\/4 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.2221 microseconds in nanoseconds?\nAnswer: 424222.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4148 is divided by 1313?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*t - 505*t = -12 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/5 + 1036*b**3\/5 + 208*b**2 - 1036*b\/5 - 1038\/5 = 0. Calculate b.\nAnswer: -1, 1, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 18*d**2 - 17*d + 23*d**2 - 13*d + 18*d + 13*d.\nAnswer: 41*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(14\/5)*v**34 assuming v is positive.\nAnswer: v**(184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 580501*k. Let h(t) = -t. What is h(v(q))?\nAnswer: -580501*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*g = 17 + 8, 0 = -5*f + 2*g + 25. Which is greater: f or 36\/7?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908604001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - 83*m = -175590. What are the prime factors of m?\nAnswer: 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47960 divided by 1199.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 4. Let v = -2 + 3. Let b = -1 - 1. Let n = b - v. Calculate k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22\/1347 - -179\/1796. Which is the smallest value? (a) 3 (b) -0.15 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.256 minus -1059.62?\nAnswer: 1050.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(134691\/278) + 2\/(238\/(-649)) - -12\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11038 by -7.\nAnswer: 11038\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118729*g**3*o - 44*g**2*o + g**2 + 1860*g*o + 2*g wrt g.\nAnswer: -712374*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*c - 31 + 31)*(-1 - 3*c**2 + 4*c**2 + 0) as s + q*c**2 + t*c**3 + l*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.195 + 0.195. Let j = -83 - p. Which is the smallest value? (a) 5 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 9, -9, -33, -63?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h - 2 - 31*h + 10 + 7*h - h**2. Determine a(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 4*u**3 + 14*u**3 - 131*u**2 + 127*u**2.\nAnswer: 18*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2. Let r be a(0). Suppose 0 = -r*g - g + 18. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*2\/4 + (1 - -4). Suppose -11 = r*n - 119. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -2 - (3 - 24). Solve b = y + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*o + 11. Calculate the remainder when (-1488)\/(-84) + o\/7 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggq. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - s - 7 = 0, 5 + 2 = -n + 4*s. Let t = -5.2 - -5.6. What is the closest to 1 in t, n, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*t - 353 = -1, 4*d - 356 = 4*t. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2 and 47\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*o**2 + 11*a*o - 34*a + 1869*o**2 wrt o.\nAnswer: -4*a + 3738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 17418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.979428 - 0.984. What is p rounded to 4 dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111000010111100 (base 2) to base 3.\nAnswer: 200010002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6*3\/(-3))\/((-6)\/(-4)). Suppose -4*v = -0*b + a*b - 32, -5*v = -b - 22. Suppose 265 = 3*y + 2*p, -b = 3*p - 0*p. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/63491 and -123\/1730.\nAnswer: 634910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:52 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v + 4*v - 3*v)*(-1 + 1 - 2) - 4*v + 13*v - 8*v + 22)*((2 + 2 - 2)*(-3 - 2 + 2) - 1 - 1 + 3 + (4 - 3 + 0)*(3 + 3 - 7) + 2 - 2 - 2).\nAnswer: 24*v - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**3 + c**2. List the prime factors of x(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -3, -1, 11, 891, 0, -4 in increasing order.\nAnswer: -4, -3, -1, 0, 11, 57, 891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -117.4 and -3.\nAnswer: -120.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:24 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 5 (c) 3\/8 (d) -8 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and 16725470884.\nAnswer: 16725470898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 98980?\nAnswer: 890820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 4910190*x - 78564320.\nAnswer: 5*(x - 982054)*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14358165?\nAnswer: 3, 5, 957211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 - -13?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -6. Let t(h) = -2*h**3 + 15*h**2 - 11*h + 15. What is the tens digit of t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:15 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + o**2 - o + 1. Let c(f) = -f**3 - 3*f**2 + f. Let r(u) = -4*b(u) - 3*c(u). Calculate r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48273892.\nAnswer: 2, 41, 294353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**3*z**(-6)*(z**0\/z*z)**(-1\/11))\/(z**(1\/7)\/z**(-2\/5))**35 assuming z is positive.\nAnswer: z**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3 - -1)*(578 - 590)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-303 + 307)\/((-4)\/18)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - (-17 - -19)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069397416 to three dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 1. Let y be z(-5). Let i be -1 - (y\/3 + -2). Let j be 1\/i*0\/(-2). Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*n + 156\/7*n**2 + 14 - 32\/7*n**3 + 2\/7*n**4.\nAnswer: 2*(n - 7)**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31184626.3 and 7653?\nAnswer: 31176973.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 215*b**4 + 158753*b**3 + 27607448*b - 1?\nAnswer: 2580*b**2 + 952518*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -37. Solve 3*h + t = s, -4 = -4*s + 2*s + 2*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 24 + 28)*(-1 - 2*g + 1) - 2*g + 0*g + 3*g + 6*g + 0*g - 3*g to the form i + r*g and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*v - 2 = 0, 3*v - 4 = h + h. Suppose -14*d = -4*c - 18*d + 4, -d = 3. Put 1, c, h, 3 in ascending order.\nAnswer: h, 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - b + 2*b + (-2 + 2 + 2*b)*(-2 + 2 + 1) - b + 3*b - b - 2*b + b + 3*b - 89*b + 232*b - 102*b to the form x*b + z and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2, 4\/5, 0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**3\/3 + 10. Let t = -3 + 6. Let q(a) = -a. Let g(w) = -2*w. Let i(c) = t*q(c) - g(c). What is i(z(m))?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -259*y**3 - y + 4. Let z(b) = 257*b**3 + b - 3. Determine 3*o(d) + 4*z(d).\nAnswer: 251*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 8. Let x be w(-4). Solve 3*m = 3*t - x*m - 15, 2*t = 5*m + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 38.956. Let r = w - -0.244. Which is the biggest value? (a) r (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fjffffjffjf?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4216, 3486, 2756, 2026?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v*v\/(v**(6\/11)\/v))\/v)\/v)\/v**(1\/9)*(v\/v**(1\/7))**(-2\/19) assuming v is positive.\nAnswer: v**(16501\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2 - 4382085*v - 39439008 = 0.\nAnswer: -9, 1460704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, -1\/204619, 56, 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5341*c**2 - 5343*c**2 + 3*c - 3*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/18 + -1 - 520\/(-90). Let r be (x\/(-5))\/(-4 + 18\/5). Which is smaller: r or 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96630 is divided by 96610?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 15) to base 11\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-130))\/((13\/(-65))\/((-4)\/8)).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 680.56 to 0 decimal places.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 36. Let m = 59 - g. Suppose -2*w + 60 = 2*w + 2*b, 2*w = -2*b + m. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/((t*t**(2\/25)\/t*t*t)\/t)))\/t)\/(t**(-2\/63)*t) assuming t is positive.\nAnswer: t**(176\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-14) - 1)\/((-1)\/(-94)). Suppose 42*t - 315000000 = r*t. Round t to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8863.024 times 0.4?\nAnswer: -3545.2096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010776354 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288 + 283. Let i(q) = -12*q**2 - 6*q + 16. Let w(b) = 4*b**2 + 2*b - 5. Determine a*i(n) - 16*w(n).\nAnswer: -4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -3 - (6 + -1). Find the common denominator of (-376)\/(-11280)*((-2)\/5)\/(1\/(-130)) and d\/10 - 283\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 49*g**3 - g**2 - g + 1. Let y be d(1). Let r(i) = -2*i + 38. Let w be r(16). Calculate the greatest common divisor of w and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1844 - -0.0844. Which is the second smallest value? (a) l (b) 8\/5 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-429)\/(-1001)*7\/(-30)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 195 = 24 - 2043. Let u(o) = -7*o**3 + 2*o**2 - 2*o. Let g be u(2). Are g and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2802207, -2802185, -2802163, -2802141, -2802119?\nAnswer: -2802097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27342 divided by 9?\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 23, 19, 13, 5, -5?\n\"Answer: -l**2 + l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = z - 6*z. Calculate the remainder when 47 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*y - 3. What is the least common multiple of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*w = 203*w - 30 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3407953*n*o**3 - 3*n*o**2 + 4*n*o + 10*n + 2006*o**2 - 1 wrt o?\nAnswer: 20447718*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8270.78 grams in nanograms?\nAnswer: 8270780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 53*x + 185. Let m be l(-25). Solve -305 = -65*r - m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + 0*c)*(2*c - 2*c + c) + (44*c + 3*c - 17*c)*(-3*c - 3*c + 5*c) + 0*c**2 - 3*c**2 + c**2.\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30232252 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 5726315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2841229\/66 - 43050. What is the common denominator of u and -5\/77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y - 232. Calculate the highest common divisor of 145 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*1005.\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11363, -4, 0 in increasing order.\nAnswer: -11363, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = j - 6*j. Suppose 0 = -3*i - 6*n + n + 21, j*i + 5*n - 25 = 0. Suppose c = -k + 14, 5*k - 101 = -i*c - 28. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/9 - 14*o**3\/9 - 2*o**2\/9 + 14*o\/9.\nAnswer: 2*o*(o - 7)*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -8) + -3 + 5 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*h**2 - 154*h**2 - 1 - 548*h**2.\nAnswer: -1806*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 199, 458, 823, 1294, 1871?\nAnswer: 2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 10 = 4*a - 7*a, 2 = 2*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*g - 11*g - 6*g - 12*g**2 + (g**2 - 2*g**2 + 3*g**2)*(-4 + 2 + 3).\nAnswer: -10*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17606.\nAnswer: 2, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481, -1484, -1487, -1490?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 466 + 443 = 743 + 356 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let c be i(2). Suppose -4*w + c*v + 1566 = 0, -2*w - v + 124 = -665. List the prime factors of w.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 3*c**2 - 11*c + 51. Let q be k(-8). What are the prime factors of q - (35\/(-7) + 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 212*a**3 - 1488*a**2 - 12*a + 54. Give y(7).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 4*w + 23 = 20*b, 5*b - 4*w = 7. Suppose b*f + 5*n = -23 + 850, -2*f - 3*n = -553. Is 36 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p**2 + 17*p - 5 = 0. What is p?\nAnswer: 5\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 101*x**2 - 89*x + 1091. Determine u(-100).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + ((-4338)\/(-162) - 25). Which is the closest to 0.1? (a) -2\/31 (b) d (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u**3 - 15*u**3 - 11*u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - 2922\/(-91))\/(13\/7 - 2).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -435 + 0*u**4 + 3*u**4 + 435 - 9*u**3 + 6*u**2.\nAnswer: 3*u**2*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x. Let t(o) = -4*o**2 + 10*o**2 - 5*o**2. Calculate t(h(b)).\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202086208 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 5, 0.07, 25\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/640)\/((-2425)\/(-23280))?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.560913 decades to millennia.\nAnswer: 0.01560913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s. Let d(p) be the first derivative of 7\/2*p**2 - 3 + 0*p. Let v(z) = -6*d(z) - 11*i(z). Let l(y) = 14*y**2. Give v(l(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eebeeeeeebeee.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:41 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:24 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.028891 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*l + 21 - 2 = 0, -h + 5*l - 31 = 0. Let g = h + 9. Solve 7*u = 4*u - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1136 - 1134. Which is the nearest to -2? (a) 2\/3 (b) 3 (c) u (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {w: 1, l: 1, u: 1, q: 6, x: 4}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 7 + -3 + (-1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + r - 2072088 = 0, r = -l - 3*r + 414429. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.685 + 0.3.\nAnswer: -0.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53968329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**3 + 5*j**2 - 20*j - 20 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d - 17086977 + 6175294 - 7594564 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/11 - -2*1\/11. Let y be ((o\/(-8))\/5)\/((-1)\/8). Factor 0 + 6\/11*n**4 + 4\/11*n**y + 10\/11*n**3 + 0*n.\nAnswer: 2*n**2*(n + 1)*(3*n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2498.3 - 2498. What is the nearest to z in 3\/4, 2\/17, -10?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-14) - -1) + (-27)\/(-63). Solve 5*q + m*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.9985 millennia to months.\nAnswer: 2087982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + (-46 - (28 + -27))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1. Let n(o) = 13*o + 3. Give -n(j) + 3*x(j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-20 + -17)) + (-5 + 16 - 10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 13*j**2 - 114*j + 11. Calculate d(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*p + 5*a, -3*p - 28*a = -26*a - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12403 divided by 79?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l**2 + l - 1. Let n(f) = -6*f**6 + 18*f**3 - 15*f**2 + 18*f - 18. Let c(i) = -n(i) + 18*y(i). Find the third derivative of c(w) wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let a(j) = 9*j - 10*j - 23*j. What is a(g(m))?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1554 and 32501910.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 41*v - 18. Let j be g(21). Suppose 3*f + j*p = 204, 76 = f - 0*f + 3*p. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/1*(-17)\/((-1190)\/20)*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5879 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 + 4 - 3 + 1 + (-1 + 3 + 0)*(0 + 4 - 5) - 2 - 1 + 1 + 3 + 13 - 5)*(-2*i + 4*i - i).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/6 - b. Let j be 212\/32 - 7 - ((-469)\/56 - -7). Let p(q) = 2. Give j*p(t) + 2*h(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + c = 79, -4*f + 66 = 2*c + 4. What is the remainder when f is divided by 4\/(-18) + 141\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*a - 4 = 40, 0 = 4*r + a + 44. Let s(m) = m**3 + m**2 - 2*m - 4. Calculate the least common multiple of s(4) and (r\/24)\/(2\/(-8)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 7113 + 7122 = -c, 5*s = -c + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 267 = 3*h, 0 = 2*h + 2*m - 245 + 81. Let z = h - 50. Is (30\/z)\/((-6)\/(-56)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*k - 416*k - 721*k + 254*k = -94870 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2544*m = 646*m - 24674 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9877456 millennia in decades?\nAnswer: 98.77456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/2)\/(6\/(-138)). Let l = 138 + z. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 7.5.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22094 is divided by 201?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/243 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -260215 divided by -3665?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-16 + -117 - -16) + 1.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -45609896?\nAnswer: 45609896.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*w + 11, 8 = 2*b - 3*w - 14. Find the second derivative of -189 + 10*m**b + 189 - 11*m wrt m.\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h + 11790 + 3225 = -4977. What is the remainder when h is divided by 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(57)\/sqrt(3) + sqrt(19)))**2*-3*-1.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-255) - 8104\/1320 - 240\/(-40)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4810*c**3 - 2400*c**3 - 2406*c**3 + 2*c.\nAnswer: 4*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l - 4*g - 2, -46 = -3*l + g. Suppose 6*h - 2*h = l. Let o = -1487 - -1499. Solve 2*i = -3*m - 12 - h, -2*i + o = -4*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00132032404 to seven dps.\nAnswer: 0.0013203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 750*d - 2968.\nAnswer: -2*(d - 371)*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 = 4*q. Suppose -q*p = p - 64. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.99496*-0.02\nAnswer: 0.0398992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -329, -398, -507, -650, -821, -1014, -1223?\n\"Answer: l**3 - 26*l**2 + 2*l - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -236929*z + 236898. Calculate h(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/5 + 7774554*k\/5 + 6219640 = 0 for k.\nAnswer: -7774550, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 160\/12*-15 - -1. Let t = f - -1390\/7. What is the second smallest value in 20, -3, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5492 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 0 (c) 0.3 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363362211 a multiple of 11837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -39*o**2 - 41*o - 40. Let u be f(-1). Let n(s) = -32*s - 139. What is the tens digit of n(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 23. Let s(p) = -p**3 + 7*p**2 + 7*p + 9. Let m be s(g). Suppose 47 = 5*d - m. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 and -109\/1344.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241169773, 1241169771, 1241169769, 1241169767, 1241169765?\nAnswer: 1241169763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 - 80*s + 4*s**2 + 77*s + 3 - 5*s**2 - s**3 as d*s**4 + n + j*s + z*s**3 + p*s**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56140 - -3?\nAnswer: 56143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 9. What is the remainder when p(7) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215bd6d (base 14) in base 13?\nAnswer: -337c71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/218920 and 31\/84200?\nAnswer: 1094600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lffpwplfplwfppp. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-5 + 27)\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r**3 + 17*r**2 - 156*r - 88. Is p(-39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/13 + 942*z**2\/13 - 8640*z + 25272 = 0 for z.\nAnswer: 3, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2606433238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*z + 3. Suppose 5*p + 35 = -q, 2*q = 4*q - z. What is p rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1466.9269 - -1466.1. Round c to two decimal places.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * -3848\nAnswer: 808.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by 3.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1189, -13 in descending order.\nAnswer: 1189, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -25 + 100. Let x be (2 + 1\/(-2))*40\/k. Let f(g) = x*g + 5*g + 2*g + 3 - 10*g. Determine f(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*z - 738 - 238 + 339 = 686 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1273, 5, 1\/9, 0 in decreasing order.\nAnswer: 5, 1\/9, 0, -1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256 - -442. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003186 rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let v(g) = 14*g - 5. Let n(a) = -69*a + 24. Let t(z) = 5*n(z) + 24*v(z). Calculate t(m(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8135028 to the power of 1\/2, to the nearest integer?\nAnswer: 2852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 0*h. Suppose 2*r - 4*r + h*g = -10, -2*r = 2*g - 26. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -39\/2, -4\/3, 365?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/8 + 2\/(-8). Let u(q) = -5*q - 1 + 5 + 2*q**2 - r. Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.748299 rounded to zero dps?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 5 - 9*o**2 + 0*o + 3*o + 31*o**2 to the form d + z*o + h*o**2 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*16\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*w - 38*w - 12222*w**3 - 219*w**2 + 12223*w**3 - 182*w wrt w?\nAnswer: 6*w - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 - 116 = 2*f, -3*f + 256 = 4*p. Solve -17*t - p = -81 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.766g in kilograms?\nAnswer: 0.158766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - q + 1. Let y be n(-2). Suppose 1 = -5*d - 2*w, -4*w - y = d - 0*d. Let l = 1\/334 + 499\/668. Which is greater: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316765890 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1038, 1084, 1144, 1224, 1330, 1468, 1644?\n\"Answer: w**3 + w**2 + 36*w + 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 1\/8*g**4 + 1\/9*g**3 - 1\/30*g**5 - g**2 - 10 + 4\/3*g. Factor r(l).\nAnswer: -(l - 2)**2*(l - 1)*(l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 plus 0.234?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13601 * -0.1\nAnswer: 1360.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2872*w**4 - 2341*w**4 + 4091*w**4)*(2 + 2*w - 2).\nAnswer: -2244*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -e4c50?\nAnswer: e4c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r, 4*q - 2*r + 15884 = 8*q. What is q rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a + 439*a**2 + 78*a**2 - 36*a + 20*a in the form v*a**2 + q + u*a and give v.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = 25. Solve -1 = 4*p - r*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 + 2*n + 1. Let y = 31 - 33. Let d(q) = 2*q + 4. Let j be d(-4). Let c be (y\/8)\/((-1)\/j). Calculate h(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/23 = -1.177657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/(-1450)*6825\/(-13).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51916 and 47116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 101. Is 10 a factor of 98 + 7 + 20\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -45*f**6 + 4*f**4 + 13*f**2 + 4*f. Let h(m) = 45*m**6 - 5*m**4 - 12*m**2 - 5*m. Let o(i) = -4*h(i) - 5*q(i). Find the third derivative of o(a) wrt a.\nAnswer: 5400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -47*v**3 - 4*v**2 + 5*v - 1. What is g(1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -7.7. Let j = -17.5 + 18. Let l(p) = -p**3 - 14*p**2 - 11*p + 22. Let y be l(-13). What is the third biggest value in j, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = x - 282 - 2166, 3*k - 4932 = -2*x. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17421984 is divided by 17421971.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14407304*a + 9439985.\nAnswer: 14407304","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 1555*r - 42150.\nAnswer: -5*(r + 30)*(r + 281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssogoerserreoohrr. What is prob of sequence sg?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3 - 9*c + 2*c**2 - 3*c - c - 5*c. List the prime factors of k(12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.9575 - 0.0825. Let l = 20.04000849 + b. Round l to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1819 - -1776) + (-1 - -59).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26\/9 - 1141\/18. Which is greater: u or -62?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + 6 + (0 - (3 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218 - -799. Let d = -565 + x. Let h(o) = 5*o**2 + 8*o - 4. Let z be h(-6). What is the greatest common factor of z and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13807 less than -6814880781?\nAnswer: -6814866974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 10*x + 48, -4*x + 123 = 107. Let i = 42 + -42. Solve -2*y - 6 = i, t*a - 4*y + 1 = -5*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, h: 2, d: 1, o: 1, y: 1}. What is prob of sequence oe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 13*o + 14. Is o at most as big as -8\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three quarters of a microsecond?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4 = 5*h + 2, -3 = 4*x - h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus -1930521?\nAnswer: 1930536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**4\/4 + f**3 - 3*f**2\/2 + 3*f - 30. Let p be l(2). Suppose -p*u = -12*u - 35. Let j(i) = -i**2 + 5*i + 9. Calculate j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 10*q = 21 + 27 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -552, 123, 1960, 5541, 11448?\n\"Answer: 97*v**3 - v**2 - v - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -4*h + 4*i, 4*i = -3*h + 311 - 32. What is the remainder when h is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3155575 rounded to one dp?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m = -4*y + 17, -4*m + 2 = -5*y. Let x(v) = 54*v**y - v**2 - 8*v + 10 - 5. Let a be x(5). What is a rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9569?\nAnswer: 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63\/(-147) - (-7)\/(147\/1164) and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*n = -876, 4*s = 3*s - n - 439. Let g = s + 441. What is the fourth smallest value in 2, -6\/5, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 45 = -7*m + 2*m, -2*m + 58 = 3*v. Let u be (-12)\/v - 148*4\/80. Put -5, u, -18 in descending order.\nAnswer: -5, u, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68587*u**4 + 1075*u - 44 wrt u?\nAnswer: -823044*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = r + 1942, -z - z - 1948 = -2*r. Let b(g) = -g**2 - 6*g - 7. Let l be b(-5). What is the tens digit of z\/(-20) - l\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-4 - (-1055)\/20*(-16)\/(-210)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 34*p - 20. Suppose -4*n - 8*r + 3*r - 84 = 0, -n + 5*r = 21. Calculate the remainder when w(n) is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 5 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2868\/25 - -2801\/50. Let l = 176\/3 + n. Calculate the common denominator of -149\/18 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 3636*n - 8 - 3111*n + 20.\nAnswer: -6747*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24000, -96058, -216198, -384432, -600772, -865230, -1177818, -1538548?\nAnswer: -1947432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (882\/(-54))\/((-2)\/30). Suppose -5*l = 4*s - q, 2*l - 7*s = -2*s + 131. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417 - 417 - 744*v.\nAnswer: -744*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 0.4 (c) 7 (d) 503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -769887?\nAnswer: 769880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2 + 3*g + 5711. What is the tens digit of a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 1:39 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.585925 nanoseconds?\nAnswer: 0.000004585925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7029790755?\nAnswer: 3, 5, 13, 2773093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-33)\/(-66))\/((-3)\/30))\/(25\/85)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2177010*d**3 - 2177015*d**3 + 4*d + 4354027*d**3.\nAnswer: 2*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 6, h: 4, i: 4, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*4*1\/2. Let o(b) = b**2 - 22*b. Let r be (-102)\/(-6) - -5*1. Let q be o(r). Solve 0 = -m*c - q*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/5, 0.08, 600330, 2, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654031 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/336 and -101\/16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -62, 8, -4, -19 in descending order.\nAnswer: 8, 0, -4, -19, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*(-18 + 20). Let l be (2\/j - (-72)\/15) + -4. Let r be 21\/(-34) - (-7)\/14. Which is the third smallest value? (a) -0.5 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5492, -9, 3 in descending order.\nAnswer: 5492, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2\/13, 0.9, -4, -3\/8?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47909.04 months in centuries?\nAnswer: 39.9242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 1. Let d(m) = m**3 + 4*m**2 + m + 5. Let u be d(t). Let q = -1.7 + 2. Which is the closest to 2? (a) u (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 545*d - d**2 - 1165*d + 9*d**3 + d**2 + 564*d in the form t*d**3 + a*d**2 + o*d + x and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-10))\/(9888\/760 + -13). Solve 0 = 11*k - z - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 12235*f**2 - 15279400*f - 3962285820.\nAnswer: 5*(f - 3411)*(f + 482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1 + 5*t - 4*t - 2*t. Let f be h(-1). Let s = 4 - 0. Solve -s = -f*a + c - 3*c, a - 10 = -5*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*sqrt(88)\/sqrt(4))\/(sqrt(396) - -1*sqrt(396)) + -2)*-2.\nAnswer: -20 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9558*d**6 + 1615*d**5 + 4538*d**2 - 3271*d?\nAnswer: -1146960*d**3 + 96900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -451*q + 164*q - 417*q - 3520 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 36) + 4 + 18 + -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228*u**3 + 777*u**2 + 230 + 391 - 621 wrt u.\nAnswer: 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) -3\/7 (b) -4156 (c) 5 (d) -1 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 748\/51)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**2))\/m)\/(m\/((m**(-4)*m)\/m)*m))\/(m**(4\/5)*m*m*m**(-4\/7)) assuming m is positive.\nAnswer: m**(-253\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -46*s + 3 - 5 + 47*s. Let m be k(4). Solve -z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -1715*j**4\/12 - 3364*j**3\/3 - 347*j**2 - 3*j. Differentiate d(o) with respect to o.\nAnswer: -3430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112.141 - -112. Let x = v + 0.17. Round x to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37252791781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -7147901706266?\nAnswer: -7147901706269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -932305 in ascending order.\nAnswer: -932305, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 15*a + 12. Give o(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 82*w**2 + 63*w - 42. Let o(a) = -8*a**2 - 6*a + 4. Let v(n) = 2*c(n) + 21*o(n). Let m(l) = 2280*l**2. What is v(m(u))?\nAnswer: -20793600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3*y - 5*y)*(-6 - 16 - 21)*(-3*y**3 - 4*y**3 + 4*y**3).\nAnswer: -129*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = g + 28, -k + 30 = 2*g - 3*g. Let o be (-9)\/((-23)\/20 - -1). Let f = o + g. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15205406 and -6.\nAnswer: 91232436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 + 5)*(0*p + 7*p - 6 - 4*p)*(2 + 1 - 5 + (-3 + 4 + 0)*(0 - 4 + 3) - 2 - 3 + 7).\nAnswer: 21*p - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 42686298.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 2:09 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19367*u**2 - 37724*u wrt u.\nAnswer: 38734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -7\/2*v**2 - 34 - 14*v - 5\/3*v**3 - 1\/4*v**4. List the prime factors of f(-7).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-116))\/((-80)\/(-256))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - p - 590, 4*x - 288 = 2*x + 4*p. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(290\/72)\/(-29)*-9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1348173*j*m**2 - 53*j*m + 2*j - m + 829 wrt m?\nAnswer: 2696346*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.69966 + -1.7. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796 = -8*g - 780 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018571.\nAnswer: 17, 37, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 760 + -760. Let o(g) be the second derivative of c*g**3 + 0 + 0*g**2 + 1\/4*g**4 - 18*g + 1\/15*g**6 - 7\/20*g**5. Suppose o(f) = 0. Calculate f.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*d + 31, 3*d - 40 = 4*i - 1. Let l(q) = -q**3 - 9*q**2 + q + 7. Give l(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -1674.\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 141 + 0*b - 286 + 137 + 9*b**2 + 2*b in the form v*b**2 + h*b + y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12090262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*z**2 + 5*z + 0*z - 3*z + 88*z**2 + 2 - 10*z**2 in the form w*z**2 + u*z + n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112088?\nAnswer: 2, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.3 and -0.64287.\nAnswer: 0.65713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 2*c**3 - c**5 + (13*c - 8*c - 14*c)*(3*c**4 - c**4 - 3*c**4) - c**5 + c**4 - c**4.\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-280)*-7 + 680\/(-50) + -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 4 (c) 2\/3 (d) -0.3 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210762593 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 174*i**2 + 4*i - 1. Is n(1) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/6 + 37*i**3\/6 - 6*i**2 - 12*i. Let h be d(18). Find the second derivative of -h*f**4 + 12*f - 14*f - 31*f**4 wrt f.\nAnswer: -444*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1010066, -2020133, -3030200?\n\"Answer: -1010067*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1755\/(-60))\/(-13)*15272\/1494?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 2.1 (c) 3 (d) 5 (e) 17\/13 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*i**6*m - 2*i**4 - i**2 + 5*i*m - 27*m wrt i?\nAnswer: 4440*i**3*m - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (-14 - -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341216 bigger than 1341215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 26 - s**3 + 26 + 2*s to the form p + n*s**2 + w*s + r*s**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/8 (b) 0.68 (c) -0.3 (d) 10 (e) -5 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260.3 - 189. Let q = h - 49. Round q to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269 + 270. Which is greater: 5\/19 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0789 - 2.6211. Suppose -r + 2*r = 0. What is the nearest to k in r, -1\/3, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - c = 4*y + 23, 4*c - 4 = 0. Solve 6*k = -0*k + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -293*u + 2054. Let h be b(7). Let t(y) be the first derivative of -2 + 4*y**2 + 0*y - 1\/3*y**h. Calculate t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 13. Suppose 4*h + 2*v - 10 = 0, h + v - s = -2*h. Suppose -h*z = 8 - 28. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h*w**4 + 141*h*w + 4*w**5 - 18*w**4 + 4 wrt w.\nAnswer: 96*h*w**2 + 80*w**3 - 216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 + (-366)\/(-36)) - (-17)\/102\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469570.66 rounded to the nearest one hundred?\nAnswer: 469600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Let i = 1451.4 + -1451. What is the nearest to c in -1\/4, -1\/7, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = 65*r - 20*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 14*d - 13. Let l = -89 + 74. Let m be i(l). Sort m, -5, 0.05 in decreasing order.\nAnswer: m, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70552 divided by 1214?\nAnswer: 35276\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z = -92 + 54 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38478, -153916, -346316, -615678, -962002, -1385288, -1885536?\nAnswer: -2462746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5065423 less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 23*l**2 - 502*l + 29. Calculate w(14).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72 - -276c8?\nAnswer: 2773a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0 (b) -0.5 (c) 69 (d) -4\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203094525 + l**2 - l**2 - 203094525 - 21*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2\/4 + 21*s\/2 - 24 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**6 - 121\/42*b**7 - 265\/6*b**3 + 0*b**5 + 0*b**4 - 163*b + 0 + 0*b**2. Find the second derivative of n(z) wrt z.\nAnswer: -2420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227 - -236. Solve -9*a + 18 = q*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:06 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 51*a = 176400. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 5, s: 2, a: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l*l)**(4\/21))**(19\/2) assuming l is positive.\nAnswer: l**(38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20913 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 283499221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 75, 140, 251, 444, 755, 1220?\n\"Answer: 6*d**3 - 13*d**2 + 62*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 90 = s - 3*s, 2*s - 86 = 5*k. What is the remainder when 161 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/6 - 26*s\/3 + 176\/3.\nAnswer: (s - 44)*(s - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2, 4, 1, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390710475.\nAnswer: 3, 5, 29, 59879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -779 in -18, -1\/87, 0.5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {m: 5, q: 5, l: 7, o: 2}?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-38)*s)\/(s**8\/s))**(2\/5))**(-2\/161) assuming s is positive.\nAnswer: s**(176\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j\/(j*j\/(j\/(j**(-7\/4)\/j*j))))\/j)*j**(-6)*j)\/(((j\/(j*j**(2\/29)))\/j)\/(j*j**(5\/6))) assuming j is positive.\nAnswer: j**(-991\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6508*-4.\nAnswer: -26032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(1\/3))\/m)\/m)**(-1\/28))**(1\/8) assuming m is positive.\nAnswer: m**(1\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.9161 + 13.08. What is r rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - h**4 + h + 6*h**4 - 4*h**4 - 3*h**4 + (-5 + 5 - h)*(-3*h**2 + 3*h**2 + 2*h**3).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210 + 635\/3. Let v(a) be the first derivative of -6 - s*a**3 - a**7 + 0*a**5 + 0*a + 0*a**6 + 0*a**2 + 0*a**4. Find the third derivative of v(i) wrt i.\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*c, 4*t - 4*c - 6 = -c. Does 4 divide (t\/2)\/(3\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/5*(-60605)\/1581. Solve 5*t + 2*w - 19 = -12, -2*w = -5*t + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -6, 18, 64, 138, 246, 394, 588?\n\"Answer: l**3 + 2*l**2 - 5*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - 5*(sqrt(63) - sqrt(2268)))\/((sqrt(45)\/sqrt(80) - sqrt(9)) + sqrt(9)) - (sqrt(231)\/sqrt(539))\/(sqrt(27)\/(sqrt(9) - sqrt(9)*3) + sqrt(3)).\nAnswer: 726*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 - 78. Let c = -158.00252 + j. What is c rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2129477474 plus 5?\nAnswer: 2129477479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10*z = 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/(sqrt(9) + sqrt(441)) - (-1*sqrt(264))\/sqrt(11))\/((3*sqrt(96)*-2)\/(sqrt(12) - (sqrt(300) + (sqrt(300)*-2 - sqrt(300))))))**2.\nAnswer: 3267\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 3*x. Suppose -7*l - 148 = 713. Let y be l\/6 + (-2)\/4. Let u = y + 18. What is r(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/427062 and 179\/30?\nAnswer: 2135310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9) - (-3784)\/6. Let t = -2834 - -2836. Suppose -112 = 3*i + 3*j - d, -j = -t*i + 337. Calculate the highest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466267 greater than or equal to 466268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227.00051 + -227. What is w rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*h + 2*m, -2*h - 5*m + 30 = h. Let z = h - 19. Let u = -8 - z. Solve 5*c + 14 + u = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 2, n: 5, q: 1}. What is prob of picking 1 l and 1 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t = -37*t + 28. Let r be 10\/35 - (-24)\/t. Does 6 divide ((-1)\/r + 1)*68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-916)\/(-6))\/(80\/480)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 173\/2*(0 - 4). Suppose 16 = 3*j + 2*n, 0 = -4*n + 6 + 14. What is the units digit of f\/(-14) + j\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*l - 68, -2*l - 1505 + 1572 = -5*r. Let o(q) = -24*q - 4. Let t be o(5). Let u be t\/(-59) - (-2 - -4). Is u at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 - 24*t - 720 = 0.\nAnswer: -12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26127 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87542*n**2 - 276 - 130 + n - 88069*n**2 wrt n?\nAnswer: -1054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -7*k - 23 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 483, 1148, 2245, 3990, 6599, 10288, 15273, 21770?\n\"Answer: 36*r**3 + 413*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9375423 is divided by 3976.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**8\/336 + v**5\/15 - 7*v**4\/12 - 7*v**2 - 2. Find the second derivative of g(y) wrt y.\nAnswer: 20*y**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 8:42 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9529 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + k - 1. Determine i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8755 rounded to two decimal places?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000056918183 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dejccnkk. Give prob of sequence dkj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -18021 + 703*z**2 + 18021 as p*z + j + g*z**2 and give g.\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4 + 5*b**3 + 36*b**2 + 35 - 3*b**3 + 0*b**3 + 0 + 88*b + 29 = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35334364 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/24 - n**5\/20 - n**3\/2 + 41*n**2. Let x(h) = -h**3 + h**2 + 1. Give 2*x(p) + y(p).\nAnswer: 3*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.941 - 10.941. Which is the fourth smallest value? (a) 8 (b) 21 (c) o (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 788 and 777 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 821 + -540. Suppose -2*r = 43 - y. What is the remainder when r is divided by (8\/(-6))\/(-4) + (-531)\/(-27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341708887, 683417775, 1025126663?\nAnswer: 1366835551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57626300?\nAnswer: 2, 5, 173, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.1598 rounded to one decimal place?\nAnswer: 40.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.37 + -11.97. Which is the smallest value? (a) -2 (b) 0.1 (c) -4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*d + 5*h, -2 = -4*d + 2*h + 8. Suppose d = 13*y + 17*y - 22320. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2382 - 2.89741?\nAnswer: -1.65921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2006*n + 2009*n + 3 = 5*y, 3*y - 5*n = -11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5893117870 to the nearest integer?\nAnswer: 76767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, 4, 352\/45, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j + 46. Let s be f(6). What is the common denominator of -49\/26 and (-232)\/(-145)*(6\/(-4) - s)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*p + 9*p - 12*p)*(-18 - 7*p - 2*p + 181*p + 18) in the form z*p + q + a*p**2 and give a.\nAnswer: 5504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*m)**(1\/24)*m**(1\/7)*(m*m**5*m)\/m)**(-5\/4) assuming m is positive.\nAnswer: m**(-10355\/1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + c - 24 = 0, 7 = -4*o - c + 38. Let p = 10 - o. Let t = 4 - p. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*u + 77*u - 10*u)*(-2 + 1 + 13) to p*u + w and give p.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*g**5 - 6*g**4 + 15*g**2 + 50245*g?\nAnswer: -300*g**3 - 72*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.632829 meters to nanometers.\nAnswer: 2632829000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -104. Let m(j) = j**2 - 4*j**2 + 2*j**2 + 2 + 2*j. Let d(y) = y**2 + 2 + 16690*y - 4 - 33377*y + 16684*y. Determine k*d(u) - 5*m(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10264681 to the nearest one hundred thousand.\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 68 = 74 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 493 + -252. Let j = -533 + x. Let h = -292.0000151 - j. Round h to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 12:27 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y + i, -2*y + 18 = 3*i + 7. Let b(w) = -w**2 + w. Let g(t) be the first derivative of -t**3 + t**2 - 1. Give y*g(k) - 9*b(k).\nAnswer: -3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*k - 23 + 18 = 0, -5 = 3*m + 2*k. Which is the fourth biggest value? (a) -5 (b) 0.4 (c) m (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 108*s**4 + 1 + s - 9*s**3 - 117*s**4 to the form i*s**2 + f*s + w + y*s**3 + z*s**4 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142080477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 2. What is the tens digit of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let o = -7 + 10. Let a(d) = -o*d**2 - 2 + 2 + 0. Determine a(f(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1388, 733, 66, -619, -1328?\n\"Answer: -v**3 - 648*v + 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.7. Let a = 5.048975 + -0.048975. What is the nearest to 2\/39 in d, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.1. Let s be 13\/(-10) + 24*(-12)\/(-960). What is the nearest to -2\/11 in s, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 83?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 9*a - 12. Let k be i(7). Suppose 0 = 9*t - k*t + 224. Let l = t - -35. Solve d - 9 = -d - 3*c, -d + l*c - 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240232 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21868 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21 = 4*y, -3*y + 5*l - 26 + 20 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*z - 25, 4*i + 4*z - 20 = i. Let f = -0.1 - 0.3. Let q = 0.1 - -0.4. Which is the closest to -2\/5? (a) q (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(9072)*-1 + 4)**2 + (6*sqrt(9072)*2 + sqrt(9072) + sqrt(9072) + sqrt(9072) + -4*(-1 + sqrt(9072) - sqrt(9072)))**2)*-5.\nAnswer: -10251515 - 20160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, 8183, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(19)*2 - 4*sqrt(304).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 312011 = -226*b + 21*b. Which is bigger: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 895*a**2\/2 + 5377*a\/4 + 1793\/2.\nAnswer: -(a - 1793)*(a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**13*z)\/z)\/z)\/z**(-8) assuming z is positive.\nAnswer: z**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 150019 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 - 1126*o**3\/3 - 243160*o**2\/3 + 52268216*o - 207752160 = 0. Calculate o.\nAnswer: -365, 4, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21418163.06 - 159159.94. Let r = o + 21577456.00093. Let h = 133 - r. Round h to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/246 and -107\/12628.\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.700124 - -2.7. Round f to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 - -130. Suppose 2073 = t*r - r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.61197 centuries to months.\nAnswer: 7934.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 6c?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2656053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**14*h)\/h)**23 assuming h is positive.\nAnswer: h**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94097*k**2 + 94100*k**2 - 188191*k**2 + 1608*k + (0*k - 4*k + 2*k)*(-5 - 2*k + 5) - 5*k**2 + 2*k**2 + k**2 - 3*k**2 + 2*k**2 + 0*k**2.\nAnswer: 7*k**2 + 1608*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 631338 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-12) - -5)\/((-2)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 28 + 12. Let m be -4*(-2)\/(r\/(-11)). What is the greatest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -c + 58 - 15, -3*l + 39 = 5*c. Let p(u) = 2*u**2 - 3*u**2 - l*u - 2*u**2. Let i(g) = 3*g**2 + 7*g. Calculate -6*i(v) - 5*p(v).\nAnswer: -3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 773477843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1146724.\nAnswer: 3\/1146724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/11 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1704*d**2. Let s(a) = 1882*a**2. Determine v(s(q)).\nAnswer: -6035438496*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*(-812)\/6. Let k = 6134\/63 - a. Calculate the common denominator of k and -2*(-4 + 630\/(-40)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58668.\nAnswer: 2, 3, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 75 + 21. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 10*u**2 - 35*u - 11. What is w(13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + h - 3*h)*(-3*h**2 + 3*h**2 - 2*h**2) + (3*h**2 - 3*h**2 - 2*h**2)*(0 + 2*h + 0) - 10*h**3 + 56*h**3 + 6*h**3.\nAnswer: 46*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*n**2 - 272*n**2 + 1022*n - 465*n.\nAnswer: -2*n**2 + 557*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let i be u(2). What is the tens digit of (-69)\/(-5) - i\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 5564 = 0. Let j be 9\/(-12) + v\/4. Is j*(-3 + 1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 0, 25 = -4*u - 0*u + 3*d. Let l be ((41*-28)\/u)\/(2\/1). Let y = l - 70. What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -62.3. Let v = 87.4 - 87. Sort 5, v, -3\/4, f in decreasing order.\nAnswer: 5, v, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/6)\/((-17)\/170) - 4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((4\/(-2) - -3)*0)\/1. Let x be ((-16)\/3)\/((-2)\/(-6)). Let i be 7\/4 - 4\/x. Solve b*f = i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410702 is divided by 1580.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380809097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -5120521.\nAnswer: -5120521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -1)\/(15\/(-10)). Let c(f) = -a + 12 + 8*f - 4. Let g(x) = 9*x + 7. What is -7*c(t) + 6*g(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 441.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 2 - -3) + -9. Let p(w) = w**3 + 10*w**2 + 6*w + 4. Is p(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/130 and 11\/50189724?\nAnswer: 250948620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from eelsshq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -8*g + 13*g. Suppose -4*n - n = g, 3*n = -5*q + 28. Suppose 4*s + 16 = 4*l, -4*l + 0*l + q = 0. Is -7\/5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*j = 291*j - 396 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -g - g + 25, -3*a + g = -89. Let v = a + -7. Suppose v = -8*k + 78. What is the remainder when 11 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67\/16 - -117\/16. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*w - 7*w**2 - 368*w - 367*w + 832*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**5 - 2*c**5 + 4*c**5)*(18 - 3 - 9).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*h + 2*h**3 + 6*h**2 + 34*h - 6*h**3 + 0*h**3 wrt h?\nAnswer: -24*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16835 * -1.5636.\nAnswer: -26323.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 18*h + 21. Is s(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -133*h - 7. Let q(a) = 403*a + 20. Determine -3*q(s) - 8*v(s).\nAnswer: -145*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -911ba18 + -1?\nAnswer: -911ba19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1088480*f**3 - 31576*f**2 - 14*f?\nAnswer: 6530880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 7. Let f(c) = 19*c + 99. Let b be f(-5). Let m(k) = -4*k + 8. Determine b*m(y) - 5*v(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 18. Calculate the least common multiple of i and 104\/18 + (-2)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j + 54*j - v - 12 = 0, 0 = -j + 4*v + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002829074672 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31130614, -31130616, -31130618, -31130620, -31130622, -31130624?\nAnswer: -31130626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/31896 and -103\/572?\nAnswer: 4561128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1384 = -4*i, v + 2*i = 3*v - 922. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 + -9870888532\nAnswer: -9870888405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317437217?\nAnswer: 3, 23, 707159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627, -426, -681, -1620, -3471?\nAnswer: -6462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2290155 and 2380.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 3 - (-54 - -48 - -33).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Suppose 0*j - 3*j + 5*y + 6 = 0, -3*j + 6 = 5*y. Let w(q) = 0*q + j*q + q - 4*q. Calculate g(w(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61843 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2168*i*l**4 - i*l + 2*i + 90*l**4 + 670*l + 183 wrt l?\nAnswer: 26016*i*l**2 + 1080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {e: 4, n: 6, m: 4, g: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -72?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5 in decreasing order.\nAnswer: 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -388*r - 200851. Give p(-517).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + sqrt(68)\/sqrt(4))*-5 - ((1*sqrt(17))**2 + -1 - sqrt(51)\/(sqrt(12)\/sqrt(4))).\nAnswer: -16 + 51*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1412 and 11659590.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048\/(-254) + (-1 - -6943) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003219508487 rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 + -3552?\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:12 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 24 = 66. Suppose -4*v + 19 = -21. Calculate the remainder when v is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224149986 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.652 plus 172478?\nAnswer: 172477.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96975 - -96985. Let u(s) = s**2 + s + 5. Let r be u(-6). What is the highest common factor of r and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/4 - m**3 - m**2\/2 - 2*m + 2. Let q be p(-2). Calculate the remainder when 20 is divided by ((-22)\/(-4))\/((-2)\/q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3751728286 to the nearest integer?\nAnswer: 61251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3)\/9)\/((-2)\/1040454)*8\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3496537720 rounded to the nearest 1000000?\nAnswer: 3497000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2131504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1302)\/(-42))\/(15\/(-6))*(-4)\/(-16)*10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8424877 + -5?\nAnswer: 8424872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 12*d + 340. Determine v(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8315.052l?\nAnswer: 8315052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 268*h + 5788. Determine g(-36).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(432)*-3 + -5 + -1 + sqrt(432)*-2 + sqrt(432) + sqrt(432) + 2)**2.\nAnswer: -72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**0\/n*n**(2\/5)\/n*n*n*(n*n**(-6))\/n**(-12) assuming n is positive.\nAnswer: n**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-41269)\/(-6660) + (-28)\/70 + -1. Let g = w - 73\/111. Calculate the common denominator of g and -145\/42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13624 - -15239. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 3*k**3 + 0*k**3 + 27*k**2 - 18*k**2.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1\/(31 + -1)). Let g = -15 - n. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 8. What is x(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 33*k**3 + 3*k**2 + 11*k + 20. Let m(r) = 17*r**3 + 2*r**2 + 6*r + 11. What is -11*m(h) + 6*q(h)?\nAnswer: 11*h**3 - 4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114118 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 41*g**3 + 5*g**4 - 10 + 43*g**3 - 7*g**4 in the form z*g**4 + c*g + j + y*g**3 + h*g**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:40 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9184788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4411? (a) 4\/3 (b) 0.024 (c) 0.5 (d) 2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38662 + -18?\nAnswer: -38680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1268 - 1026. What is the greatest common divisor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4447661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163782 or -655129\/4?\nAnswer: -163782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h - 29*h - 21*h)*(4 - 2 - 3)*(h**4 + h**4 - 4*h**4).\nAnswer: -50*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845326.\nAnswer: 2, 71, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -34*v + 6. Let j be x(4). Calculate the common denominator of j\/18 + 4\/18 and -64\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -13. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 times 20.104\nAnswer: 2613.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46880 is divided by 2466?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.229 - -0.28. Round k to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 119 = 965. Suppose -5*p + 222 = 4*z, 3*z = -2*z - 4*p + i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 + 132. Let h(x) = -5*x. Let r(q) = q. Give d*r(k) + h(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 19*s - 12. Let d be l(-18). Suppose 0 = 8*f - d*f - 4. Suppose 4*o + f*v = 5*o - 72, -4*o = -2*v - 276. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*j**4 - 8*j**4 + 12*j**4)*(j - 4*j + j) - 7*j**5 + 2*j**5 + 4*j**5.\nAnswer: 109*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 9*o - 9. Determine g(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6696 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 divided by -257?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 13*k - 7. Let w be -12 + 0*(-2)\/6. What are the prime factors of d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -120236, -240511, -360786, -481061, -601336, -721611?\n\"Answer: -120275*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 19773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 140.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 15. What is the smallest common multiple of (a\/(-9))\/(5\/(-135)) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 2*f - 2*f. Let g be l(-3). Let t = 0.1459 + 0.0541. Put g, t, 4 in descending order.\nAnswer: 4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3, -1255, 4 in decreasing order.\nAnswer: 4, -1\/4, -3, -1255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 5 = 5*t. Let h be (-8)\/t - (-27)\/(-45). Let n be 1 + 16\/h + 1. What is the greatest common factor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 112 = -7*y. Let d be ((-705)\/(-60))\/((-2)\/y). Suppose 9*c = 7*c + d. What is the remainder when c is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -375.26129 to the nearest integer.\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56342505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110567, -110591, -110615, -110639, -110663, -110687?\n\"Answer: -24*g - 110543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 80. Let h = 47 - k. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**2 - 133533*b - 388626744.\nAnswer: -10*b - 133533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a - 5*s = 2415, s = 2. Suppose -120 = -5*b + a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 826490.9 hours?\nAnswer: 2975367240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828 divided by 35.\nAnswer: -828\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -126560408.896.\nAnswer: -126560409.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (35 - (2 - 6)) - -131?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -m - 5, -101*m - 4 = -4*r - 105*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**5\/20 - 2*h**4\/3 - 8*h**3\/3 + 51*h - 45. Let q(g) be the first derivative of w(g). Factor q(j).\nAnswer: -j*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66*g*i + 245*g - 7*i wrt i.\nAnswer: 66*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2999199 (b) -0.05 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1805386 or -2?\nAnswer: 1\/1805386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7659 is divided by 751?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((3 - 1)*-1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10*277\/(-12465).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007141995 rounded to five decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1845 - 1839.442. Let s = 7.5 + -13. Let m = s + j. Round m to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*k + 10, 0*r + 4*r + 25 = -5*k. Let s(j) = 6*j**2 - j - 2. Let z be s(-1). Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8265327 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 5*p = 178. What is the remainder when p is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1545*c - 37498. Give j(24).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*g - 2)*(0*g**3 + 3*g**3 - g**3) + g**4 + g**4 - g**4 - 2*g**4 + 3*g**4 + 0*g**4 + (2*g + g - 6*g)*(-1 + 1 + 2*g**3) + 7*g**4 + 6*g**4 - 3*g**4.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r - 389. Let w(t) = 3*t - 388. Let h(u) = -2*o(u) + 3*w(u). Let d be h(-43). Which is smaller: 10\/57 or d?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-7 + -56)) + (-28 - (-4 + -12))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s**2 - 106*s**2 - 63*s + 124*s**2 + 102*s - 39*s.\nAnswer: -85*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-8)*((-770)\/(-595))\/11.\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - h - 1. Let u(p) = -p**3 - 20*p**2 - 4*p + 2. Let d(b) = -2*r(b) - u(b). Let g be d(-10). What is the highest common divisor of 60 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/149 or -23816?\nAnswer: 6\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 379, 380, 381?\n\"Answer: u + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 25909.9m?\nAnswer: 25.9099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 105385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 104*x - 101. What is p(50)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 25*b**2 + 4*b - 15. Let l(t) = -t**3 - 3*t**2 + 3. Give -a(h) - 5*l(h).\nAnswer: 3*h**3 - 10*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/115 in 0.53, 0.1, 1\/187?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 63 + -14)*(3\/(-9))\/((-50)\/75)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let c be (39\/(-3) - -4)\/((-3)\/2). Suppose 79 + c = 5*r. Let n(z) = -17 + r + z. What is o(n(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 17*d + 12*d + 24, 64 = 5*l - 3*d. Let c be ((-14)\/(-4))\/(1\/10). Calculate the highest common factor of c and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.116 + -0.1?\nAnswer: -24.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/41700 and 67\/147062?\nAnswer: 22059300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2*-4 - -2. Suppose -3*i - 12 = c, 3*b + 5*i + 20 = 4*b. Solve -l + 6*l - 25 = b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(2\/(-12)). Let u(s) = -s**3 - s**2 + 4*s + 1. Let i be u(-3). Suppose 3 = h*a - 0, 3*j - i = -a. Sort j, 4, -2 in decreasing order.\nAnswer: 4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine fifths of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -13 (c) 1\/6 (d) -0.3 (e) 279\/5 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - a - 8 = 0. Sort -2, -4, 5, a in ascending order.\nAnswer: -4, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.037 - -4.037. Which is the third smallest value? (a) j (b) 1\/4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.293 + -1.193. Let j(u) = -u + 1 + 0 + 2*u**2 - 2. Let x be j(2). Sort f, -2, x in ascending order.\nAnswer: -2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0*p**2 + 0*p**2)*(4 + 8 - 5)*(4*p - 3*p - 2*p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15 - ((-284)\/(-95) + -18) and 13\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -43*f - 1. Let z be l(-1). Let d = -577 + 594. Suppose 0 = d*r - 35*r + 1890. Calculate the greatest common factor of r and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v + 4. Suppose -f = 5*t + f - 33, t = -4*f + 21. Suppose 2*a = b + 4*a, 4*b = t*a + 13. Let m be (0\/(-1*b))\/(-1). Determine z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - 1) + -2 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*(-30)\/25. Suppose 4*s = s + 24. Suppose -5*w + 4*n = -18, 4*n + 11 = 3. Solve 2*q + s = -d*f, -4*f - w*q - 10 = -2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -212, -210, -208, -206, -204?\n\"Answer: 2*x - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*c = 4*j - 7, -4*j = -4*c - 24. Let s(u) = -u**2 - u - 7. Let z be s(j). Let l = z + 84. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/4 + u + 1. Let d(c) = -2*c**3 - 2*c**2 - 6. Suppose 5*n - 11 = 9. What is n*q(s) + d(s)?\nAnswer: 2*s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y*y**(7\/4))\/y*y))\/((y\/y**(-21))\/y) assuming y is positive.\nAnswer: y**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (-9 - -11) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/30*-3 - 32160\/(-150). Let r = j - 211. What is the remainder when 10 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000302 (base 4) in base 10?\nAnswer: -8242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, r: 1, e: 2, u: 2, g: 1, l: 8}. What is prob of sequence rlh?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 2, k: 3}. What is prob of picking 1 r and 1 k?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 44*u - 104.\nAnswer: 4*(u - 13)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 78. Calculate the least common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15794 divided by 15794.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 35*a - 21 = 33*a, 2*t = -4*a + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63805.02ml to litres.\nAnswer: 63.80502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 + 102*r**4 - 1917*r**3 + 5088*r**2 + 16320*r + 9216 = 0. Calculate r.\nAnswer: -48, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m**(-4\/5))**(17\/7)*m**(-9)*m\/(m**(2\/5)\/m)*m*m\/(m*m**0)*m\/(m**(3\/2)*m) assuming m is positive.\nAnswer: m**(-181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-160)\/(-280) - (-10)\/7. Suppose -10*t + 5*a - 726 = -12*t, -5*t + b*a = -1873. List the prime factors of t.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/945*-7)\/(13*16\/416)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 - -60.15. Let j = i - 57. Let w = 0.17 + -0.3. Which is the second biggest value? (a) j (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2316630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.3, 0.2, 1\/2, -0.02, -2, -15379?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**4 - 1083848*h**3 - 2*h**2 + 9054907 wrt h.\nAnswer: 16*h**3 - 3251544*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - d + (2 - 2 + 1)*(-2*d + d + 3*d))*(69 + d**3 - 89 - 30) to i*d**3 + s*d + n + y*d**4 + a*d**2 and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 2, l: 2, n: 3, v: 1, c: 3}. What is prob of sequence nzzv?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 9*x + 13. Let y be t(10). Is 2 a factor of y + 6*(-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(2000) - sqrt(2000)) + sqrt(2000))\/((sqrt(100)*-2)\/sqrt(10)))**2 - (sqrt(98) + 1 + 5)**2*-5.\nAnswer: 420*sqrt(2) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -478*w + 10039. Give v(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 177*m\/2 - 540.\nAnswer: (m - 6)*(m + 360)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 36*v - 3. Let s be q(-3). Suppose 6*y - y = -105. Let k = s - y. Round k to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/7*3022\/(-693549)?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 5*q**2 + 14*q + 4. Let j be i(7). Suppose 987 + 505 = j*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 14 = -10. Let a be 0*((-1)\/(-3))\/(g\/(-9)). Solve a*v = 3*v - 3*s + 6, 5*v + s - 20 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.3 - -20.1. Let o = l + -10.7. What is the nearest to o in 2, 1\/5, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -1 (c) 5.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -207060 divided by -17\nAnswer: 12180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + 1.6. Let g = 9 + -7.5. Let u = -1 + g. Which is the second biggest value? (a) u (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v. Suppose 5*n - 4 = 3*n, 3*n = -5*t - 74. Let h be 8\/(-4) - t - 0. Let z(b) = b - 17*b + h*b. What is d(z(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**4 + d**4 + 16*d + 0*d**4 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let c = 4 + -4.1. What is the smallest value in l, -0.2, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 (base 15) to base 8\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942795077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, -0.3, 1, 4 in descending order.\nAnswer: 4, 1, -0.3, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 2\/5, 4\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*u**3 - 3585*u**2 + 17*u**3 + 210*u**2 - 43*u**3.\nAnswer: -5*u**2*(u + 675)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4122.55 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hotrozl. What is prob of picking 1 z and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132590 - -284535. Suppose 5*v - 32*q + 34*q = w, -151945 = -5*v + q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*s - 407*s - 291*s + 58*s - 165*s in the form i + t*s and give t.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -263 and 1476 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006723365 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from gvdnvvgnv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u + 4. Let p(h) = 32*h - 10. Let s(t) = -t**3 - 10*t**2 + 17*t + 30. Let g be s(-13). Let o be 3\/(78\/(-4)) + g\/26. Calculate o*k(r) + 5*p(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 3*k)*(-5 - 21 - 2).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1431 divide 18694164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -239 + 239. Let m(w) be the first derivative of -6 - 1\/2*w**2 + j*w - 1\/3*w**3. Find the second derivative of m(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**7\/6 - n**3\/2 + n. Find the second derivative of y(u) wrt u.\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/18*(-106 + 76 - (-2601)\/85)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4656*j - 1318368 = -1447*j - 4529*j for j.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 1, b: 1}. Give prob of sequence gj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9349*j + 9130*j + 21381*j + 1448073 - 1448073)*(-j**3 - j**3 + 4*j**3) in the form l*j**3 + d*j**2 + w*j + g*j**4 + p and give g.\nAnswer: 42324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 2200700*y - 605385061250 = 0.\nAnswer: 550175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 4, 1\/74, -0.2 in descending order.\nAnswer: 4, 3\/11, 1\/74, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(3 + 2)*2\/(-25). Suppose -7*r = -10*r + 5*c + 16, -4*r - f*c + 32 = 0. Calculate the highest common divisor of 77 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = i. Let h(w) = -4*w**2 - 8*w - 8. Let n be h(-4). Let z = -83\/2 - n. Is z at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310680 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -106. Let z = 0.5 + -0.3. Let s = 867 + -867.4. Sort s, -4, z, w in decreasing order.\nAnswer: z, s, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiezgeeez. What is prob of picking 1 z and 1 g?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 81360*g**2 + 162705*g - 81350.\nAnswer: 5*(g - 16270)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(87\/12*50\/5).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 119*w**3.\nAnswer: -119*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 91 = -55*n + 149. Solve 4*d - 2*r = 2, n*r + 5 - 7 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53a9 + c1?\nAnswer: -52b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 66.96.\nAnswer: -937.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25132926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Suppose 0 = 3*f - r*d - 99, -202 = -5*f - 6*d + 2*d. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48644 divided by 3\nAnswer: -48644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**(1\/43) assuming f is positive.\nAnswer: f**(-4\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.22 - -0.22. Let z = -4189845.7 + 4189849.7000009. Let t = z + v. What is t rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61166\/(-40460) + (-5)\/10 + (3 - 1)\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514, 519, 526, 535, 546?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15665081 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 11:24 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**4\/3 + 2*c**3\/3 - 2*c - 3. Let d(o) be the first derivative of u(o). Find the second derivative of d(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8554754 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p\/p**(-7))*p*p**(-4)*p)\/(p**(-2\/9)\/(p\/p**3)))\/(p**(-3\/5)\/(p**2\/p))**(1\/56) assuming p is positive.\nAnswer: p**(-3386\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:35 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1266, -1270, -1276, -1284, -1294, -1306, -1320?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t + 4. Suppose 0 = -3*f - 3*z + 24, -2*z + 13 = -4*f + 3*z. Let p = -1 - f. Let u be i(p). Calculate the greatest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.472405 and -772?\nAnswer: 768.527595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose -269534*q + 269540*q = 0. What is f in -1\/2*f**4 + n*f**2 + q + 0*f - f**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 170739 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -34 - (-6)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79968370 to the nearest ten thousand.\nAnswer: 79970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79*1*4\/(-8) and 305\/(-10)*2\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 350*b**4*q - 92*b**4 - 11*b**2*q + b**2 + 413*b*q wrt b.\nAnswer: 8400*b*q - 2208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 9*q - 8. Let k(t) = t**3 + 8*t**2 - 9*t + 4. Suppose 0 = -2*z + 7 - 25. Calculate the remainder when n(6) is divided by k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c - 13*c = 7*c + 780 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 106521 >= 106561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00227213 rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*f - 38*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 108 - -35.5439134\nAnswer: 143.5439134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4488\/4080 - ((-7)\/10)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1563277 - -0.074.\nAnswer: -1563276.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300) + 1 - (sqrt(300) - (5 + sqrt(300) + 0)))*-4)**2.\nAnswer: -3840*sqrt(3) + 19776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 3613.\nAnswer: -4\/3613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o - 2*o. Let v(f) = -2*f - 4. Let j be v(-3). What is the second derivative of -o*x - 2*x - x**j + 7*x wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4208 divided by -2\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 61*z**2. Let h(w) = w**2 + 6*w - 6. Let s(i) = -i + 1. Let d(x) = h(x) + 6*s(x). What is d(f(n))?\nAnswer: 3721*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h. Let v be f(-4). Let x be v\/(1 - -1)*2. Let m(u) = u**2 + 3*u - 6. Let s be m(-5). Solve 3*a = x*a + s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2200*g**2 - 2200*g**2 + 51*g**3.\nAnswer: 51*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1507 - -7537\/5. Let w be -1*13*(-6)\/(-8). Let v = w - -193\/20. Which is the nearest to 1? (a) r (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1934, 3742, 5402, 6884, 8158?\n\"Answer: -5*n**3 - 44*n**2 + 1975*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b + 0 + 99 - 12. Let x be l(8). Let v(w) = -4*w**3 + 4*w**2 + 4*w + 4. Let r(g) = g**3 + g**2 + g + 1. What is x*v(y) + 4*r(y)?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/20)\/((759\/(-1771))\/(90\/(-42)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3159 - 1327729\nAnswer: -1327729.3159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/((6\/9)\/2). Calculate the lowest common multiple of 54\/(-2)*(-8)\/6 and ((j\/(-28))\/6)\/(6\/84).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x + 3. Let o(m) = -m + 10. Let q(n) = 3. Let f(y) = -3*o(y) + 8*q(y). Let g(d) = 4*d - 7. What is x*g(l) - 5*f(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2010+-0.032\nAnswer: 2009.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9270701 and 4213955.\nAnswer: 46353505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*b + 712 - 712)*(1 + 0 + 0) - 7*b + 4*b + 4*b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/4 + 2*u**3\/3 + u**2\/2 - 3. Let w be r(-2). Put 3, w, -5 in descending order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.3. Let c = -7922 + 7923. What is the closest to -2 in i, c, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p - 27*p**3 - 11*p**2 + 26*p**3 + 25*p**3 - 16*p**4 + 4*p**5 - 5*p**2 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 3*t + 245 = 0, -3979*q = -3981*q - 4*t - 344 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -53 - -47 - (-42 + 1). Let w be (2\/10)\/(21\/o). Sort -18, -2\/7, w in increasing order.\nAnswer: -18, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/9 - (-12)\/(-54). Let n be s\/9 + 2\/(-3). Suppose 5*f + 3 - 23 = n. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1229775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -1\/15 (b) -2\/9 (c) -2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*m - 3, 0 = i + 2*i - m + 31. Let g be (2\/(-16))\/((-6)\/i). Let y = 11\/112 - g. Which is smaller: -1\/2 or y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 649.\nAnswer: 324.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133671.783 hours in weeks?\nAnswer: 795.665375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -567408 or -566834?\nAnswer: -567408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49179065 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20496, 10599, -5904, -29019, -58752, -95109?\n\"Answer: -k**3 - 3297*k**2 + k + 23793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from furrrru. Give prob of picking 1 r and 1 u.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 23\/8 of a second?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4566 divided by -420.\nAnswer: -761\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 9*s**2 - 6*s - 17. Let m be z(8). Sort -4, -6, m in descending order.\nAnswer: m, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**4 - 8*f**2 + 14. Let u(l) = 0*l**2 + 5 - 5*l**2 + 3*l**2 - l**2. Let z(w) = -3*d(w) + 8*u(w). What is the first derivative of z(c) wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/37? (a) 0.1461 (b) -3 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 76735.\nAnswer: 306940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 205840655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82777968 by 164242.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 19, -4, 1 in decreasing order.\nAnswer: 19, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 55762*y - 223083. Give w(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*b + 3*b - 2, h = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8041650784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 51*j + 27755 = 0. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*z**3 + 90*z**3 - 257*z**3 + 86*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-3*4\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*v + 639*v - 160*v - 173*v - 152*v + 31 - 3*v**2 as r*v + f + y*v**2 and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 582 divided by 57874\nAnswer: 291\/28937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3225, 3726, 4227, 4728?\nAnswer: 5229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64159 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y)**25\/((y**7\/y)\/y**7) assuming y is positive.\nAnswer: y**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 8 = 11*d - 47 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (38\/57)\/((-20)\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(96)*6) + (1 + (sqrt(5)*1)**2)*2.\nAnswer: sqrt(5)\/24 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-14 + 14 - p)*(-3 + 1 + 1 - 11 + 6 - 12 + 1 - 4 + 5 + (2 + 0 - 3)*(-3 + 4 + 0) - 1 - 2 + 5).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -77. Let h be (-33)\/t + 2\/(-8). List the prime factors of (91 - 2) + (-5 - h).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -41*d. Let w(f) = -1. Suppose 0 = 2*m + 2*m - 16. Let s(t) = -2*t - 4. Let l(z) = m*w(z) - s(z). What is l(p(v))?\nAnswer: -82*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6430 divided by -1286.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**2*s**2 + d**2*s - 2*d**2 - 39*d - 189*s**3 - 3 wrt s?\nAnswer: -6*d**2*s + d**2 - 567*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.01193 to zero dps.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 6) to base 3.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1 + -1 + 3)*2 + (sqrt(15)\/(-5*sqrt(192)))**2*4.\nAnswer: 2*sqrt(5) + 481\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116652 (base 8) to base 10.\nAnswer: -40362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 150*f**2 - 1. Let j(r) = -4*r. What is j(x(z))?\nAnswer: -600*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y - 7. Suppose -2*f = -4*f - 6. Let i be (f + 0)\/(-3) + -6. Calculate the least common multiple of 22 and j(i).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 24423402?\nAnswer: 24423401.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 - 271*k + 1232. Give a(5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1078, 2125, 3172, 4219, 5266, 6313?\nAnswer: 7360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-40)\/(-950))\/(-2).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 65972 = -4*x, 85948 = 3*o - 2*x - 12970. Suppose 30*r = o + 10764. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57, -178, -371, -636, -973, -1382?\n\"Answer: -36*x**2 - 13*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 935, 782, 541, 212, -205, -710, -1303?\n\"Answer: -44*d**2 - 21*d + 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k = -14845 + 11464 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*p - 2*z, -5*p = -5*z - 10. Let o(n) = -7 + 5*n - 8 + p*n - 5*n. What is the units digit of o(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3222 - 191*x**2 - 2*x**3 + 341*x**2 + 278*x**2.\nAnswer: -2*x**3 + 428*x**2 - 3222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -24*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-16))\/((-1)\/(-3)). Let c = 2669 + -8006\/3. Suppose -r - 7*b - 5 = -2*b, -4*r - 2*b - 2 = 0. What is the closest to c in z, r, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 10 = -11*v. Find the second derivative of -49*q - 7*q**2 - 3*q**v + 66*q wrt q.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = -39*c + 132*c - 108. Solve 6*n - 4 = -c*h + 9*n, -n - 7 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 7*g**2 + 8*g**2 - 5*g**2 + 15*g**3 - 8*g**2 + 1 as f*g + s + x*g**2 + k*g**3 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ezjnzlzalaza.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 18*w - 12. Determine j(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3977 - -3971) + (2 + -2 - -31)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 10 - 11 + 41*n + 548*n to the form y*n + l and give y.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpupuckctpcpcu. What is prob of picking 2 p and 1 t?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105.8 and 0.04.\nAnswer: -105.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6606 - 7100. Which is bigger: p or -491?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373729 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22278990 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - v = 8, 4*m + 33584*v = 33583*v + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 19*j. Let x(a) = -779729*a**2. Calculate x(p(q)).\nAnswer: -281482169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.023 - -25.0230053065. What is c rounded to 7 dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*k - 19, -3*c = k + 12 - 1. Let z be -2*((k - -1) + -2 - -2). Put z, 4, 8 in decreasing order.\nAnswer: 8, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 3\/11, 2\/15, 4\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + 50\/15. Let k(q) = -4*q**u + 2*q**2 - 2*q**3 - 5*q**3 + 2*q - q. Is 12 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111\/28 - -26\/7. Let x = -73 + 659\/9. What is the biggest value in p, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - ((-2548)\/(-42))\/14. Let f(o) be the second derivative of -n*o**3 + 0 + 3\/2*o**2 - 1\/20*o**5 + 1\/3*o**4 - 20*o. What is f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 * -6.423.\nAnswer: 314.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let r(q) be the third derivative of 2 + 0*q + 39\/4*q**4 + 0*q**3 - 53*q**2. Determine s(r(x)).\nAnswer: 234*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 11*l + 70, 5*r + 417*l + 40 = 422*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 245023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1604976 and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 7224?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 7.026. Let l = a + 8.026. Put 0, -0.2, l in descending order.\nAnswer: l, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (170\/153)\/(2\/3). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162083619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 94 = -32*f. Suppose 40 = 89*o - f*o. Is o at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 + 5 = 0. Suppose y - o + 25 = 0. Is 4 a factor of (-108)\/y + (-3)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33331, 66597, 99863, 133129, 166395?\n\"Answer: 33266*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 11*n**2 + 17*n - 2. Let p be d(9). Let w be p\/(-15) - (-22)\/(-55). Determine i, given that -2\/3*i - 1\/3*i**2 - w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254778210517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}